{ "cells": [ { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Least Squares" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "fragment" } }, "source": [ "... or, $A\\mathbf{x} = \\mathbf{b}$ has no solutions! What do I do?!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide_input": false, "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# for conversion to PDF use these settings\n", "# %matplotlib inline\n", "# qr_setting = 'url'\n", "# qrviz_setting = 'show'\n", "#\n", "# for lecture use notebook\n", "%matplotlib notebook\n", "qr_setting = 'url'\n", "qrviz_setting = 'save'\n", "#\n", "%config InlineBackend.figure_format='retina'\n", "# import libraries\n", "import numpy as np\n", "import matplotlib as mp\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import laUtilities as ut\n", "import slideUtilities as sl\n", "import demoUtilities as dm\n", "import pandas as pd\n", "from importlib import reload\n", "from datetime import datetime\n", "from IPython.display import Image\n", "from IPython.display import display_html\n", "from IPython.display import display\n", "from IPython.display import Math\n", "from IPython.display import Latex\n", "from IPython.display import HTML\n", "reload(sl)\n", "reload(ut);" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "cell_style": "split", "hide_input": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 450 } }, "output_type": "display_data" } ], "source": [ "# image credit: http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss#mediaviewer/File:Carl_Friedrich_Gauss.jpg\n", "display(Image(\"images/Carl_Friedrich_Gauss.jpg\", width=450))" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "hide_input": false }, "source": [ "\"Ceres" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's go back to week 1. A long time ago!\n", "\n", "Recall Gauss's remarkable accomplishment in his early 20s. He took the set of measurements made by Piazzi of the dwarf planet Ceres and predicted where Ceres subsequently would appear in the sky (after it was lost behind the sun). This told Olbers exactly where to look, and lo and behold . . ." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We can understand now a little better what Gauss had to do.\n", "\n", "Kepler had discovered, and Newton had explained, that each planet orbits the sun following the path of an ellipse." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "To describe the orbit of Ceres, Gauss had to construct the equation for its ellipse:\n", "\n", "$$a_1 x_1^2 + a_2 x_2^2 + a_3 x_1x_2 + a_4 x_1 + a_5 x_2 + a_6 = 0.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "He had many measurements of $(x_1, x_2)$ pairs and had to find the $a_1, \\dots, a_6.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is actually a linear system:\n", "\n", "$$\\begin{bmatrix}x_{11}^2 &x_{21}^2&x_{11}x_{21}&x_{11}&x_{21}&1\\\\x_{12}^2 &x_{22}^2&x_{12}x_{22}&x_{12}&x_{22}&1\\\\\n", "\\vdots&\\vdots&\\vdots&\\vdots&\\vdots&\\vdots\\\\x_{1n}^2 &x_{2n}^2&x_{1n}x_{2n}&x_{1n}&x_{2n}&1\\end{bmatrix} \\begin{bmatrix}a_1\\\\a_2\\\\a_3\\\\a_4\\\\a_5\\\\a_6\\end{bmatrix} = \\mathbf{0}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, according to Newton, this is a consistent linear system. The equation for the ellipse is exactly correct and all we need is six $(x_1, x_2)$ sets of measurements to know the orbit of Ceres exactly." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What could go wrong? :)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Obviously, there are going to be measurement errors in Piazzi's observations. If we just solve the system using six measurements, we will probably get incorrect values for the coefficients $a_1, \\dots, a_6.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "A better idea is to use all of the $n$ measurement data available, and try to find a way to cancel out errors.\n", "\n", "So, using all the $n$ data measurements available, we construct a linear system:\n", "\n", "$$ X\\mathbf{a} = \\mathbf{b}$$\n", " \n", "where $X$ is $n\\times 6$ and $\\mathbf{b} \\in \\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "But now, due to measurement errors, we can't expect $\\mathbf{b}$ will lie in the column space of $X$. We have an incosistent system. \n", "\n", "This system has __no solutions!__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "What can we do if $A\\mathbf{x} = \\mathbf{b}$ has __no solutions?__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We now understand if $A$ is $m\\times n$ and $A\\mathbf{x} = \\mathbf{b}$ has no solutions, that is because the columns of $A$ do not span $\\mathbb{R}^m$, and $\\mathbf{b}$ is not in the column space of $A$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In many cases we will be quite satisfied to find an $\\mathbf{x}$ that makes $A\\mathbf{x}$ as close as possible to $\\mathbf{b}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In other words, we are looking for an $\\mathbf{x}$ such that $A\\mathbf{x}$ makes a good __approximation__ to $\\mathbf{b}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We can think of the quality of the approximation of $A\\mathbf{x}$ to $\\mathbf{b}$ as the distance from $A\\mathbf{x}$ to $\\mathbf{b},$ which is\n", "\n", "$$\\Vert A\\mathbf{x} - \\mathbf{b}\\Vert.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The __general least-squares problem__ is to find an $\\mathbf{x}$ that makes $\\Vert A\\mathbf{x}-\\mathbf{b}\\Vert$ as small as possible." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is called \"least squares\" because it is equivalent to minimizing $\\Vert A\\mathbf{x}-\\mathbf{b}\\Vert^2,$ which is the sum of squared differences." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Just to make this explicit: say that we denote $A\\mathbf{x}$ by $\\mathbf{y}$. Then\n", "\n", "$$\\Vert A\\mathbf{x}-\\mathbf{b}\\Vert^2 = \\sum_i (y_i-b_i)^2$$\n", "\n", "Where we interpret $y_i$ as the _estimated value_ and $b_i$ as the _measured value._\n", "\n", "So this expression is the __sum of squared error.__ This is the most common measure of error used in statistics." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is a key principle! \n", "\n", "__Minimizing the length of $A\\mathbf{x} - \\mathbf{b}$ is the same as minimizing the sum of squared error.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Definition.__ If A is $m\\times n$ and $\\mathbf{b}$ is in $\\mathbb{R}^m,$ a __least squares solution__ of $A\\mathbf{x} =\\mathbf{b}$ is an $\\mathbf{\\hat{x}}$ in $\\mathbb{R}^n$ such that \n", "\n", "$$\\Vert A\\mathbf{\\hat{x}} - \\mathbf{b}\\Vert \\leq \\Vert A\\mathbf{x} - \\mathbf{b}\\Vert$$\n", "\n", "for all $\\mathbf{x}$ in $\\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "An equivalent (and more common) way to express this is:\n", "\n", "$$\\hat{\\mathbf{x}} = \\arg\\min_\\mathbf{x} \\Vert A\\mathbf{x} - \\mathbf{b}\\Vert.$$\n", "\n", "which emphasizes that this is a minimization problem, also called an _optimization_ problem." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Interpretation of the Least Squares Problem.__ The point to remember is that no matter what $\\mathbf{x}$ is, $A\\mathbf{x}$ will be in the column space of $A$, $\\operatorname{Col}\\ A$. \n", "\n", "So $\\mathbf{b}$ is outside $\\operatorname{Col}\\ A$, and we are looking for $\\mathbf{x}$ that specifies the closest point in $\\operatorname{Col}\\ A$ to $\\mathbf{b}$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide_input": true, "scrolled": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " // select the cell after this one\n", " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n", " IPython.notebook.select(index + 1);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = ut.three_d_figure('Figure 22.2', 'Comparison of v to the projection of y',\n", " -15, 15, -15, 15, -15, 15, (9,9), qr = None)\n", "a2 = np.array([5.0,-13.0,-3.0])\n", "a1 = np.array([1,-2.0,3])\n", "v = -3*a1 + a2\n", "y = np.array([12.0, 8.0, -5.0])\n", "A = np.array([a1, a2]).T\n", "#\n", "# plotting the span of v\n", "fig.plotSpan(a1, a2, 'Green')\n", "#\n", "yhat = A.dot(np.linalg.inv(A.T.dot(A))).dot(A.T).dot(y)\n", "fig.plotPoint(yhat[0], yhat[1], yhat[2], 'b')\n", "fig.text(yhat[0]+0.5, yhat[1]+0.5, yhat[2]+0.5, r'$\\mathbf{\\hat{y}}$', 'y-hat', size=18)\n", "#\n", "fig.plotPoint(y[0], y[1], y[2],'b')\n", "fig.text(y[0]+0.5, y[1]+0.5, y[2]+0.5, r'$\\bf y$', 'y', size=18)\n", "#\n", "fig.plotPoint(v[0], v[1], v[2], 'b')\n", "fig.text(v[0]-1.5, v[1]-1.5, v[2]-1.5, r'$\\bf v$', 'v', size=18)\n", "#\n", "m1 = (y + v) / 2\n", "m1 = m1 + [2,-6,0]\n", "fig.text(m1[0], m1[1], m1[2], r'$\\Vert \\bf y - \\bf v\\Vert$', '||y - v||', size=18)\n", "m2 = (y + yhat) / 2\n", "m2 = m2 + [0,1,0]\n", "fig.text(m2[0], m2[1], m2[2], r'$\\Vert \\bf y - \\hat{\\bf y}\\Vert$', '||y - y-hat||', size=18)\n", "m3 = (yhat + v) / 2\n", "m3 = m3 + [-1,0,-4]\n", "fig.text(m3[0], m3[1], m3[2], r'$\\Vert \\hat{\\bf y} - \\bf v\\Vert$', '||y - v||', size=18)\n", "#\n", "wpos = -4.5*a1 \n", "fig.text(wpos[0], wpos[1], wpos[2], r'$W$', 'W', size=22)\n", "#\n", "# lines\n", "fig.plotLine([y, yhat], 'b')\n", "fig.plotLine([v, yhat], 'b')\n", "fig.plotLine([y, v], 'b')\n", "#ut.plotPoint3d(ax,0,0,0,'b')\n", "fig.ax.view_init(azim=57.0,elev=-69.0)\n", "fig.hideAxes() \n", "qrcode = fig.save('Fig22.2', qrviz = qrviz_setting)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Both $\\hat{\\mathbf{y}}$ and $\\mathbf{v}$ are in $W$, so $\\hat{\\mathbf{y}} - \\mathbf{v}$ is in $W$. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "By the orthogonal decomposition theorem, $\\mathbf{y} - \\hat{\\mathbf{y}}$ is orthogonal to every vector in $W$, so it is orthogonal to $\\hat{\\mathbf{y}} - \\mathbf{v}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, these three points form a (right) triangle because\n", "\n", "$$ \\mathbf{y} - \\mathbf{v} = (\\mathbf{y} - \\hat{\\mathbf{y}}) + (\\hat{\\mathbf{y}} - \\mathbf{v}). $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the Pythagorean Theorem tells us that\n", "\n", "$$ \\Vert\\mathbf{y} - \\mathbf{v}\\Vert^2 = \\Vert\\mathbf{y} - \\hat{\\mathbf{y}}\\Vert^2 + \\Vert\\hat{\\mathbf{y}} - \\mathbf{v}\\Vert^2. $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now $\\hat{\\mathbf{y}} - \\mathbf{v} \\neq {\\bf 0}$ because $\\mathbf{y}$ is distinct from $\\mathbf{v}$. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So \n", "\n", "$$\\Vert \\hat{\\mathbf{y}} - \\mathbf{v} \\Vert > 0.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So \n", "\n", "$$ \\Vert\\mathbf{y} - \\mathbf{v}\\Vert^2 > \\Vert\\mathbf{y} - \\hat{\\mathbf{y}}\\Vert^2. $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let's apply these ideas to solving the least squares problem:\n", "\n", "$$\\hat{\\mathbf{x}} = \\arg\\min_\\mathbf{x} \\Vert A\\mathbf{x} - \\mathbf{b}\\Vert.$$\n", "\n", "We know that the closest point to $\\mathbf{b}$ in a subspace $W$ is the __projection__ of $\\mathbf{b}$ onto $W.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the point we are looking for, which we'll call $\\hat{\\mathbf{b}},$ is:\n", "\n", "$$\\hat{\\mathbf{b}} = \\mbox{proj}_{\\operatorname{Col}\\ A} \\mathbf{b}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The key is that $\\hat{\\mathbf{b}}$ __is__ in the column space of $A$. So this equation is consistent, and we can solve it:\n", "\n", "$$A\\mathbf{\\hat{x}} = \\hat{\\mathbf{b}}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Since $\\hat{\\mathbf{b}}$ is the closest point in $\\operatorname{Col}\\ A$ to $\\mathbf{b},$ a vector $\\hat{\\mathbf{x}}$ is a least-squares solution of $A\\mathbf{x}=\\mathbf{b}$ if and only if $\\mathbf{\\hat{x}}$ satisfies $A\\mathbf{\\hat{x}} = \\hat{\\mathbf{b}}.$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "(Note: we know that $A\\mathbf{\\hat{x}} =\\hat{\\mathbf{b}}$ is consistent (by definition), so there exists at least one solution. However note that if $A$ has free variables -- the columns of $A$ are not independent -- then there would be many solutions of $A\\mathbf{\\hat{x}} =\\hat{\\mathbf{b}}$.) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Here is another picture of what we are doing:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide_input": true }, "outputs": [ { "data": { "text/html": [ "
\n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 450 } }, "output_type": "display_data" } ], "source": [ "sl.hide_code_in_slideshow()\n", "display(Image(\"images/Lay-fig-6-5-2.png\", width=450))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now let's look at a specific case.\n", "\n", "Say that \n", "\n", "$$A = \\begin{bmatrix}\\mathbf{a}_1&\\mathbf{a}_2\\end{bmatrix} = \\begin{bmatrix}1&5\\\\-2&-13\\\\3&-3\\end{bmatrix}$$\n", "\n", "and \n", "\n", "$$\\mathbf{b} = \\begin{bmatrix}6\\\\8\\\\-5\\end{bmatrix}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We have only two columns $\\mathbf{a}_1$ and $\\mathbf{a}_2$ so they can not span $\\mathbb{R}^3$. \n", "\n", "So $\\mathbf{b}$ may not lie in $\\operatorname{Col}\\ A$, and indeed it does not:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide_input": true }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " // select the cell after this one\n", " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n", " IPython.notebook.select(index + 1);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = ut.three_d_figure('Figure 22.4', 'b-hat is closest to b', \n", " -15, 15, -15, 15, -15, 15, (7,7), qr = None)\n", "a2 = np.array([5.0,-13.0,-3.0])\n", "a1 = np.array([1,-2.0,3])\n", "b = np.array([8.0, 8.0, -5.0])\n", "A = np.array([a1, a2]).T\n", "bhat = A @ np.linalg.inv(A.T @ A) @ A.T @ b\n", "fig.text(a1[0], a1[1], a1[2], r'$\\bf a_1$', 'a1', size=18)\n", "fig.text(a2[0], a2[1], a2[2], r'$\\bf a_2$', 'a2', size=18)\n", "fig.text(b[0], b[1], b[2], r'$\\bf b$', 'b', size=18)\n", "fig.text(bhat[0], bhat[1], bhat[2], r'$A\\mathbf{\\hat{x}} = \\mathbf{\\hat{b}}$', 'Ax-hat = b-hat', size=20)\n", "#ax.text(1,-4,-10,r'Span{$\\bf a,b$}',size=16)\n", "#ax.text(0.2,0.2,-4,r'$\\bf 0$',size=20)\n", "# plotting the span of v\n", "fig.plotSpan(a1, a2, 'Green')\n", "fig.plotPoint(a1[0], a1[1], a1[2], 'r')\n", "fig.plotPoint(a2[0], a2[1], a2[2], 'r')\n", "fig.plotPoint(b[0], b[1], b[2], 'b')\n", "fig.plotPoint(bhat[0], bhat[1], bhat[2], 'b')\n", "fig.plotLine([b, bhat], 'b', '--')\n", "#ut.plotPoint3d(ax,0,0,0,'b')\n", "fig.ax.view_init(azim=30, elev=-80.0)\n", "fig.save('Fig22.4', qrviz = qrviz_setting)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "OK, how are we going to find this projection $\\hat{\\mathbf{b}}$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Here is the key idea:\n", "\n", "We know that the projection $\\hat{\\mathbf{b}}$ has the property that $\\hat{\\mathbf{b}}-\\mathbf{b}$ is orthogonal to $\\operatorname{Col}\\ A.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Suppose $\\hat{\\mathbf{b}}$ is $\\mbox{proj}_{\\operatorname{Col}\\ A}\\mathbf{b},$ and that $\\mathbf{\\hat{x}}$ satisfies $A\\mathbf{\\hat{x}} = \\hat{\\mathbf{b}}$. \n", "\n", "So $A\\mathbf{\\hat{x}} - \\mathbf{b}$ is orthogonal to each column of $A$. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "If $\\mathbf{a}_j$ is any column of $A$, then \n", "\n", "$$\\mathbf{a}_j^T(A\\mathbf{\\hat{x}} - \\mathbf{b}) = 0.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, each $\\mathbf{a}_j^T$ is a row of $A^T$. We can collect all of the equations for all the $\\mathbf{a}_j$ as:\n", "\n", "$$A^T(A\\mathbf{\\hat{x}} - \\mathbf{b}) = {\\bf 0}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So\n", "\n", "$$A^TA\\mathbf{\\hat{x}} - A^T\\mathbf{b} = {\\bf 0}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So\n", "\n", "$$A^TA\\mathbf{\\hat{x}} = A^T\\mathbf{b}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Looking at this, we see that $A^T\\mathbf{b}$ is a vector, and $A^TA$ is a matrix, so this is a standard linear system. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This linear system is called the __normal equations__ for $A\\mathbf{x} = \\mathbf{b}.$\n", "\n", "It's solution is usually denoted $\\mathbf{\\hat{x}}$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Theorem__ The set of least-squares solutions of $A\\mathbf{x} = \\mathbf{b}$ is equal to the (nonempty) set of solutions of the normal equations $A^TA\\mathbf{x} = A^T\\mathbf{b}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Proof.__\n", "\n", "(1) The set of solutions is nonempty. The matrix on the left has the same column space as $A^T$ and the vector on the right is a vector in the column space of $A^T.$ \n", "\n", "And, by the arguments above, any least-squares solution of $A\\mathbf{x} = \\mathbf{b}$ must satisfy the normal equations $A^TA\\mathbf{x} = A^T\\mathbf{b}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "(2) Now let's show that any solution of $A^TA\\mathbf{x} = A^T\\mathbf{b}$ is a least squares solution of $A\\mathbf{x} = \\mathbf{b}$.\n", "\n", "If $\\mathbf{\\hat{x}}$ satisfies $A^TA\\mathbf{x} = A^T\\mathbf{b},$ then $A^T(A\\mathbf{\\hat{x}} -\\mathbf{b}) = {\\bf 0},$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "which shows that $A\\mathbf{\\hat{x}} - \\mathbf{b}$ is orthogonal to the rows of $A^T,$ and so is orthogonal to the columns of $A$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the vector $A\\mathbf{\\hat{x}} - \\mathbf{b}$ is orthogonal to $\\operatorname{Col}\\ A$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the equation\n", "\n", "$$\\mathbf{b} = A\\mathbf{\\hat{x}} - (\\mathbf{b} - A\\mathbf{\\hat{x}})$$\n", "\n", "is a decomposition of $\\mathbf{b}$ into the sum of a vector in $\\operatorname{Col}\\ A$ and a vector orthogonal to $\\operatorname{Col}\\ A$. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Since the orthogonal decomposition is unique, $A\\mathbf{\\hat{x}}$ must tbe the orthogonal projection of $\\mathbf{b}$ onto the column space of $A$.\n", "\n", "So $A\\mathbf{\\hat{x}} = \\hat{\\mathbf{b}}$ and $\\mathbf{\\hat{x}}$ is a least-squares solution." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Example.__ Find the least squares solution of the inconsistent system $A\\mathbf{x} = \\mathbf{b}$ for\n", "\n", "$$A = \\begin{bmatrix}4&0\\\\0&2\\\\1&1\\end{bmatrix}, \\;\\;\\; \\mathbf{b} = \\begin{bmatrix}2\\\\0\\\\11\\end{bmatrix}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Solution.__\n", "\n", "We will use the normal equations $A^TA\\mathbf{x} = A^T\\mathbf{b}.$\n", "\n", "$$A^TA = \\begin{bmatrix}4&0&1\\\\0&2&1\\end{bmatrix} \\begin{bmatrix}4&0\\\\0&2\\\\1&1\\end{bmatrix} = \\begin{bmatrix}17&1\\\\1&5\\end{bmatrix}$$\n", "\n", "$$A^T\\mathbf{b} = \\begin{bmatrix}4&0&1\\\\0&2&1\\end{bmatrix} \\begin{bmatrix}2\\\\0\\\\11\\end{bmatrix} = \\begin{bmatrix}19\\\\11\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the normal equations are:\n", "\n", "$$ \\begin{bmatrix}17&1\\\\1&5\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\end{bmatrix} = \\begin{bmatrix}19\\\\11\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We can solve this using row operations, or by inverting $A^TA$.\n", "\n", "$$(A^TA)^{-1} = \\frac{1}{84}\\begin{bmatrix}5&-1\\\\-1&17\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "And we can then solve $A^TA\\mathbf{x} = A^T\\mathbf{b}$ as\n", "\n", "$$\\mathbf{\\hat{x}} = (A^TA)^{-1}A^T\\mathbf{b}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\frac{1}{84}\\begin{bmatrix}5&-1\\\\-1&17\\end{bmatrix}\\begin{bmatrix}19\\\\11\\end{bmatrix} = \\frac{1}{84}\\begin{bmatrix}84\\\\168\\end{bmatrix} = \\begin{bmatrix}1\\\\2\\end{bmatrix}.$$\n", "\n", "So we conclude that $\\mathbf{\\hat{x}} = \\begin{bmatrix}1\\\\2\\end{bmatrix}$ is the vector that minimizes $\\Vert A\\mathbf{x} -\\mathbf{b}\\Vert.$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__When there are multiple solutions.__\n", "\n", "We have seen that the normal equations always have a solution. Is there always a unique solution?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "No, there can be multiple solutions that __all__ minimize $\\Vert A\\mathbf{x} - \\mathbf{b}\\Vert.$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's remind ourselves of what is going on when a linear system has multiple solutions.\n", "\n", "We know that a linear system has multiple solutions when there are columns that are not pivot columns." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Equivalently, whern there are multiple solutions the columns of $A$ are linearly dependent.\n", "\n", "Here is a picture of what is going on:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hide_input": true }, "outputs": [ { "data": { "text/html": [ "
\n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
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');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('