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"# A multimodal DBM, jointly modelling SNP and gene expression data\n",
"\n",
"In this example a multimodal DBM is trained on genomic data from patients with acute myeloid leukemia (AML). The examined data set consists of data from 308 patients with SNP measurements, 319 patients with gene expression measurements and 26 patients with both measurements.\n",
"\n",
"For training the multimodal DBM, the [BoltzmannMachines](https://github.com/stefan-m-lenz/BoltzmannMachines.jl) Julia package is employed. It is shown how the resulting model can be used for dimensionality reduction.\n",
"\n",
"The data for executing the example code is attached. It has been extracted from the following sources:\n",
"\n",
"[1] Hieke-Schulz, S. (2016). *SNP data from a clinical cohort of acute myeloid leukemia patients*. Harvard Dataverse.\n",
"https://doi.org/10.7910/DVN/JUMDLX\n",
"\n",
"[2] Hieke, S. et. al. (2016). *Integrating multiple molecular sources into a clinical risk prediction signature by extracting complementary information*. BMC Bioinformatics. https://doi.org/10.1186/s12859-016-1183-6\n",
"\n",
"## Preparations\n",
"The following code requires Julia 1.0 and the packages `BoltzmannMachines` and `BoltzmannMachinesPlots`.\n",
"The packages can be installed with the following commands:"
]
},
{
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"using Pkg\n",
"Pkg.add(\"BoltzmannMachines\")\n",
"Pkg.add(\"BoltzmannMachinesPlots\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
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"Now all the required packages can be loaded:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false
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"outputs": [],
"source": [
"using BoltzmannMachines # requires package version 1.1\n",
"using BoltzmannMachinesPlots # requires package version 1.0\n",
"\n",
"using DelimitedFiles\n",
"using Random"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the functions from the standard package `DelimitedFiles`, the data is read from the prepared CSV files. There are three files for three types of patients:\n",
"* For some patients there is only SNP data available, \n",
"* for some there is only gene expression data,\n",
"* and for some there is both."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
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"snpdata = readdlm(\"snpdata.csv\", ','; header = true)[1]\n",
"gepdata = readdlm(\"gepdata.csv\", ','; header = true)[1]\n",
"combsnpsgeps = readdlm(\"combSnpsGeps.csv\", ','; header = true)[1];"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training an RBM on SNP data (containing categorical values)\n",
"\n",
"Encode the 0/1/2-valued SNPs into 00/01/10-valued data as input for the `Softmax0BernoulliRBM`:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
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"snpdata01 = oneornone_encode(snpdata, 3)\n",
"combsnpsgeps = hcat(oneornone_encode(combsnpsgeps[:, 1:size(snpdata, 2)], 3),\n",
" intensities(combsnpsgeps[:, (size(snpdata, 2)+1):end]));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then train a `Softmax0BernoulliRBM` with the SNP data.\n",
"\n",
"The data is split into training and test data and then used for monitoring during the training.\n",
"\n",
"The `upfactor` and `downfactor` are set for the later use of the RBM as a first layer in the multimodal DBM. They account for the fact that the visible layer is only connected to one other layer, in contrast to the hidden RBM layer, which will be connected to two layers in the DBM, namely the visible layer and the second hidden layer."
]
},
{
"cell_type": "code",
"execution_count": 6,
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" // Browser globals (glob is window)\n",
" // Snap adds itself to window\n",
" glob.Gadfly = factory(glob.Snap);\n",
" }\n",
"}(this, function (Snap) {\n",
"\n",
"var Gadfly = {};\n",
"\n",
"// Get an x/y coordinate value in pixels\n",
"var xPX = function(fig, x) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
"};\n",
"\n",
"var yPX = function(fig, y) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
"};\n",
"\n",
"\n",
"Snap.plugin(function (Snap, Element, Paper, global) {\n",
" // Traverse upwards from a snap element to find and return the first\n",
" // note with the \"plotroot\" class.\n",
" Element.prototype.plotroot = function () {\n",
" var element = this;\n",
" while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.svgroot = function () {\n",
" var element = this;\n",
" while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.plotbounds = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x0: bbox.x,\n",
" x1: bbox.x + bbox.width,\n",
" y0: bbox.y,\n",
" y1: bbox.y + bbox.height\n",
" };\n",
" };\n",
"\n",
" Element.prototype.plotcenter = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x: bbox.x + bbox.width / 2,\n",
" y: bbox.y + bbox.height / 2\n",
" };\n",
" };\n",
"\n",
" // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
" // does everything right.\n",
" // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
" var events = [\"mouseenter\", \"mouseleave\"];\n",
"\n",
" for (i in events) {\n",
" (function (event_name) {\n",
" var event_name = events[i];\n",
" Element.prototype[event_name] = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var fn2 = function (event) {\n",
" if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
" return;\n",
" }\n",
"\n",
" var reltg = event.relatedTarget ? event.relatedTarget :\n",
" event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
" while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
"\n",
" if (reltg != this.node) {\n",
" return fn.apply(this, event);\n",
" }\n",
" };\n",
"\n",
" if (event_name == \"mouseenter\") {\n",
" this.mouseover(fn2, scope);\n",
" } else {\n",
" this.mouseout(fn2, scope);\n",
" }\n",
" }\n",
" return this;\n",
" };\n",
" })(events[i]);\n",
" }\n",
"\n",
"\n",
" Element.prototype.mousewheel = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var el = this;\n",
" var fn2 = function (event) {\n",
" fn.apply(el, [event]);\n",
" };\n",
" }\n",
"\n",
" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-ec2526a4\");\n",
"fig.select(\"#img-ec2526a4-4\")\n",
" .drag(function() {}, function() {}, function() {});\n",
"fig.select(\"#img-ec2526a4-6\")\n",
" .data(\"color_class\", \"color_Training_data\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec2526a4-7\")\n",
" .data(\"color_class\", \"color_Test_data\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec2526a4-9\")\n",
" .data(\"color_class\", \"color_Training_data\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec2526a4-10\")\n",
" .data(\"color_class\", \"color_Test_data\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec2526a4-14\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-ec2526a4-17\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-ec2526a4-17\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-ec2526a4-123\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-ec2526a4-123\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-ec2526a4-271\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Random.seed!(1)\n",
"monitor1 = Monitor()\n",
"snpdata01train, snpdata01test = splitdata(snpdata01, 0.1)\n",
"snpdatadict = DataDict(\"Training data\" => snpdata01train, \"Test data\" => snpdata01test)\n",
"snprbm = fitrbm(snpdata01train, rbmtype = Softmax0BernoulliRBM, categories = 3, \n",
" upfactor = 2.0, downfactor = 1.0,\n",
" learningrate = 0.002,\n",
" epochs = 50,\n",
" monitoring = (rbm, epoch) ->\n",
" monitorreconstructionerror!(monitor1, rbm, epoch, snpdatadict))\n",
"plotevaluation(monitor1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training an RBM on gene expression data\n",
"\n",
"For feeding the data to a `BernoulliRBM`, the gene expression data is transformed into the interval [0,1]. The values are thereby treated as intensities:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"gepintensities = intensities(gepdata);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Train a normal `BernoulliRBM` with the intensities ( = probabilities) as a first layer for the DBM."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/svg+xml": [
"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
"<svg xmlns=\"http://www.w3.org/2000/svg\"\n",
" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
" xmlns:gadfly=\"http://www.gadflyjl.org/ns\"\n",
" version=\"1.2\"\n",
" width=\"141.42mm\" height=\"100mm\" viewBox=\"0 0 141.42 100\"\n",
" stroke=\"none\"\n",
" fill=\"#000000\"\n",
" stroke-width=\"0.3\"\n",
" font-size=\"3.88\"\n",
">\n",
"<defs>\n",
" <marker id=\"arrow\" markerWidth=\"15\" markerHeight=\"7\" refX=\"5\" refY=\"3.5\" orient=\"auto\" markerUnits=\"strokeWidth\">\n",
" <path d=\"M0,0 L15,3.5 L0,7 z\" stroke=\"context-stroke\" fill=\"context-stroke\"/>\n",
" </marker>\n",
"</defs>\n",
"<g class=\"plotroot xscalable yscalable\" id=\"img-f54711af-1\">\n",
" <g font-size=\"3.88\" font-family=\"'PT Sans','Helvetica Neue','Helvetica',sans-serif\" fill=\"#564A55\" stroke=\"#000000\" stroke-opacity=\"0.000\" id=\"img-f54711af-2\">\n",
" <g transform=\"translate(67.59,88.39)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">Epoch</text>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g class=\"guide xlabels\" font-size=\"2.82\" font-family=\"'PT Sans Caption','Helvetica Neue','Helvetica',sans-serif\" fill=\"#6C606B\" id=\"img-f54711af-3\">\n",
" <g transform=\"translate(20.63,81.72)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">0</text>\n",
" </g>\n",
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" <g transform=\"translate(44.11,81.72)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">10</text>\n",
" </g>\n",
" </g>\n",
" <g transform=\"translate(67.59,81.72)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">20</text>\n",
" </g>\n",
" </g>\n",
" <g transform=\"translate(91.07,81.72)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">30</text>\n",
" </g>\n",
" </g>\n",
" <g transform=\"translate(114.55,81.72)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">40</text>\n",
" </g>\n",
" </g>\n",
" </g>\n",
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"function(d,f,k,u,p){\"string\"==typeof k&&(p=u=k,k=4);\"string\"!=typeof u&&(p=u,u=\"#000\");null==k&&(k=4);null==p&&(p=1);null==d&&(d=0,f=2);null==f&&(f=d);u=a.color(u||\"#000\");return a.format('<feGaussianBlur in=\"SourceAlpha\" stdDeviation=\"{blur}\"/><feOffset dx=\"{dx}\" dy=\"{dy}\" result=\"offsetblur\"/><feFlood flood-color=\"{color}\"/><feComposite in2=\"offsetblur\" operator=\"in\"/><feComponentTransfer><feFuncA type=\"linear\" slope=\"{opacity}\"/></feComponentTransfer><feMerge><feMergeNode/><feMergeNode in=\"SourceGraphic\"/></feMerge>',\n",
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"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof define === \"function\" && define.amd) {\n",
" // Define as an anonymous module\n",
" define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
" return factory(Snap);\n",
" });\n",
" } else {\n",
" // Browser globals (glob is window)\n",
" // Snap adds itself to window\n",
" glob.Gadfly = factory(glob.Snap);\n",
" }\n",
"}(this, function (Snap) {\n",
"\n",
"var Gadfly = {};\n",
"\n",
"// Get an x/y coordinate value in pixels\n",
"var xPX = function(fig, x) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
"};\n",
"\n",
"var yPX = function(fig, y) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
"};\n",
"\n",
"\n",
"Snap.plugin(function (Snap, Element, Paper, global) {\n",
" // Traverse upwards from a snap element to find and return the first\n",
" // note with the \"plotroot\" class.\n",
" Element.prototype.plotroot = function () {\n",
" var element = this;\n",
" while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.svgroot = function () {\n",
" var element = this;\n",
" while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.plotbounds = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x0: bbox.x,\n",
" x1: bbox.x + bbox.width,\n",
" y0: bbox.y,\n",
" y1: bbox.y + bbox.height\n",
" };\n",
" };\n",
"\n",
" Element.prototype.plotcenter = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x: bbox.x + bbox.width / 2,\n",
" y: bbox.y + bbox.height / 2\n",
" };\n",
" };\n",
"\n",
" // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
" // does everything right.\n",
" // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
" var events = [\"mouseenter\", \"mouseleave\"];\n",
"\n",
" for (i in events) {\n",
" (function (event_name) {\n",
" var event_name = events[i];\n",
" Element.prototype[event_name] = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var fn2 = function (event) {\n",
" if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
" return;\n",
" }\n",
"\n",
" var reltg = event.relatedTarget ? event.relatedTarget :\n",
" event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
" while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
"\n",
" if (reltg != this.node) {\n",
" return fn.apply(this, event);\n",
" }\n",
" };\n",
"\n",
" if (event_name == \"mouseenter\") {\n",
" this.mouseover(fn2, scope);\n",
" } else {\n",
" this.mouseout(fn2, scope);\n",
" }\n",
" }\n",
" return this;\n",
" };\n",
" })(events[i]);\n",
" }\n",
"\n",
"\n",
" Element.prototype.mousewheel = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var el = this;\n",
" var fn2 = function (event) {\n",
" fn.apply(el, [event]);\n",
" };\n",
" }\n",
"\n",
" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
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"text/plain": [
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"metadata": {},
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],
"source": [
"Random.seed!(1)\n",
"monitor2 = Monitor()\n",
"gepdatatrain, gepdatatest = splitdata(gepintensities, 0.1)\n",
"gepdatadict = DataDict(\"Training data\" => gepdatatrain, \"Test data\" => gepdatatest)\n",
"geprbm = fitrbm(gepdatatrain, upfactor = 2.0, downfactor = 1.0,\n",
" learningrate = 0.002,\n",
" epochs = 40,\n",
" monitoring = (rbm, epoch) ->\n",
" monitorreconstructionerror!(monitor2, rbm, epoch, gepdatadict))\n",
"plotevaluation(monitor2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training a multimodal DBM with both SNP data and gene expression data\n",
"\n",
"Now train a multimodal DBM using only the patients that have both SNP and gene expression measurements:\n",
"\n",
"The RBMs that have been trained for the input layer are used as pretrained building blocks in the first partitioned layer.\n",
"During the joint training as a DBM, the variational lower bound of the log-likelihood is estimated via annealed importance sampling and used for monitoring."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"scrolled": false
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" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
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" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-8fb3da84\");\n",
"fig.select(\"#img-8fb3da84-4\")\n",
" .drag(function() {}, function() {}, function() {});\n",
"fig.select(\"#img-8fb3da84-5\")\n",
" .data(\"color_class\", \"color_Training_data\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-8fb3da84-13\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-8fb3da84-16\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-8fb3da84-16\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-8fb3da84-129\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-8fb3da84-129\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-8fb3da84-267\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"jointmonitor = Monitor();\n",
"jointdatadict = DataDict(\"Training data\" => combsnpsgeps)\n",
"Random.seed!(1)\n",
"mdbm = fitdbm(combsnpsgeps,\n",
" pretraining = [\n",
" TrainPartitionedLayer([\n",
" # use the pretrained RBMs in the first layer\n",
" TrainLayer(startrbm = snprbm, epochs = 0);\n",
" TrainLayer(startrbm = geprbm, epochs = 0)]\n",
" );\n",
" TrainLayer(nhidden = 10);\n",
" TrainLayer(nhidden = 2)\n",
" ],\n",
" learningratepretraining = 0.005,\n",
" learningrate = 0.002,\n",
" epochs = 70,\n",
" monitoring = (dbm, epoch) ->\n",
" begin\n",
" if epoch % 5 == 0 # monitor only every few epochs to save some time\n",
" monitorlogproblowerbound!(jointmonitor, dbm, epoch, jointdatadict)\n",
" end\n",
" end)\n",
"plotevaluation(jointmonitor; sdrange = 1.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Use for dimensionality reduction\n",
"\n",
"Because of the missing values in either SNP or gene expression data, the `meanfield` approach for calculating the activation cannot be used for dimensionality reduction in this particular example. But it is possible to estimate the activation via conditional Gibbs sampling in our case.\n",
"\n",
"For this we define the following function, which estimates the mean activations in the last hidden layer of a DBM by sampling conditionally on a given range of variables. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"meanhidden (generic function with 2 methods)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function meanhidden(bm::AbstractBM, data::Matrix{Float64},\n",
" range = 1:size(data, 2);\n",
" ngensamples::Int = 500)\n",
"\n",
" mapreduce(i ->\n",
" begin\n",
" particles = initparticles(bm, size(data, 1))\n",
" particles[1][:, range] .= data\n",
" # Conditional gibbs sampling, return only last hidden layer\n",
" gibbssamplecond!(particles, bm, range, 20)[end]\n",
" end, +, 1:ngensamples) ./ ngensamples\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use this function to estimate the mean hidden activations that is induced by the different measurement modalities. The activations are then displayed as a scatter plot."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": false
},
"outputs": [
{
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"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof define === \"function\" && define.amd) {\n",
" // Define as an anonymous module\n",
" define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
" return factory(Snap);\n",
" });\n",
" } else {\n",
" // Browser globals (glob is window)\n",
" // Snap adds itself to window\n",
" glob.Gadfly = factory(glob.Snap);\n",
" }\n",
"}(this, function (Snap) {\n",
"\n",
"var Gadfly = {};\n",
"\n",
"// Get an x/y coordinate value in pixels\n",
"var xPX = function(fig, x) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
"};\n",
"\n",
"var yPX = function(fig, y) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
"};\n",
"\n",
"\n",
"Snap.plugin(function (Snap, Element, Paper, global) {\n",
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" }\n",
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"\n",
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" }\n",
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" };\n",
"\n",
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" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
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" x1: bbox.x + bbox.width,\n",
" y0: bbox.y,\n",
" y1: bbox.y + bbox.height\n",
" };\n",
" };\n",
"\n",
" Element.prototype.plotcenter = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x: bbox.x + bbox.width / 2,\n",
" y: bbox.y + bbox.height / 2\n",
" };\n",
" };\n",
"\n",
" // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
" // does everything right.\n",
" // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
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"\n",
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" Element.prototype[event_name] = function (fn, scope) {\n",
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" return;\n",
" }\n",
"\n",
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" event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
" while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
"\n",
" if (reltg != this.node) {\n",
" return fn.apply(this, event);\n",
" }\n",
" };\n",
"\n",
" if (event_name == \"mouseenter\") {\n",
" this.mouseover(fn2, scope);\n",
" } else {\n",
" this.mouseout(fn2, scope);\n",
" }\n",
" }\n",
" return this;\n",
" };\n",
" })(events[i]);\n",
" }\n",
"\n",
"\n",
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" if (Snap.is(fn, \"function\")) {\n",
" var el = this;\n",
" var fn2 = function (event) {\n",
" fn.apply(el, [event]);\n",
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" }\n",
"\n",
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" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
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"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
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"\n",
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" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
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"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
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"\n",
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" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
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" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
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"\n",
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" element.transform(t);\n",
" }) });\n",
"\n",
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"\n",
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" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
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" });\n",
"\n",
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" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
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" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
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"\n",
"\n",
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],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"snprange = 1:size(snpdata01, 2)\n",
"geprange = snprange[end] .+ (1:size(gepdata, 2))\n",
"Random.seed!(1);\n",
"\n",
"hidden = vcat(\n",
" meanhidden(mdbm, snpdata01, snprange),\n",
" meanhidden(mdbm, gepintensities, geprange),\n",
" meanhidden(mdbm, combsnpsgeps))\n",
"\n",
"scatterhidden(hidden,\n",
" opacity = 0.5,\n",
" labels = vcat(\n",
" repeat([\"SNP data\"], size(snpdata01,1)),\n",
" repeat([\"GEP data\"], size(gepdata,1)),\n",
" repeat([\"Both\"], size(combsnpsgeps,1))))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Interpretation of the scatter plot above: \n",
"\n",
"The representation of the data with latent features divides the patients with only SNP measurements clearly into two groups.\n",
"The patients with only gene expression measurements seem to be similar to one of these subgroups.\n",
"The patients with both measurements are divided among those subgroups and each patient can be clearly assigned to one of them.\n",
"From this you can conclude that the multimodal DBM has not just separated the patients with SNP and gene expression data \n",
"but it has instead extracted more meaningful imformation."
]
}
],
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