{ "metadata": { "name": "", "signature": "sha256:94edadfb9a69b84d5a8bf603c348332b57923c8515c0c42127736ff9b732a458" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Construct network representation of correlation matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We test different possibilities of filtering the correlation matrix. This allows us to build a graph and use the literature from graph theory to extract valuable information.\n", "A short introduction of this topic is given in [wikipedia](http://en.wikipedia.org/wiki/Stock_correlation_network).\n", "\n", "The Dependency matrix is the weighted adjacency matrix, representing the fully connected network.\n", "Different algorithms can be applied to filter the fully connected network to obtain the most meaningful information, such as using a threshold approach, or different pruning algorithms.\n", "\n", "A widely used method to construct informative sub-graph of a complete network is the Minimum Spanning Tree (MST).\n", "\n", "Another informative sub-graph, which retains more information (in comparison to the MST) is the Planar Maximally Filtered Graph (PMFG) which we also compute here.\n", "Both methods are based on hierarchical clustering and the resulting sub-graphs include all the $N$ nodes in the network whose edges represent the most relevant association correlations.\n", "The MST sub-graph contains $(N-1)$ edges with no loops while the PMFG sub-graph contains $3(N-2)$ edges.\n", "\n", "A short timeline of the literature in this field can be found in this [blog entry](http://www.fna.fi/blog/2012/07/06/a-short-history-of-correlation-networks-research)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Load dependencies" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "import pandas.io.data as web\n", "import datetime\n", "import pandas.io.pytables\n", "import numpy as np\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import matplotlib.gridspec as gridspec\n", "\n", "import seaborn as sns\n", "\n", "from itertools import permutations\n", "from collections import OrderedDict\n", "from pprint import pprint" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "import viz\n", "import scipy.cluster.hierarchy as sch" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Preparing to get some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ds = viz.CorrelationMatrixSource('dax30.h5', 'corr2')\n", "ds.time_axis()\n", "df = ds.get_at( datetime.date(2008,9,15))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "with pd.io.pytables.get_store('dax30.h5') as store:\n", " dax_info = store.select('dax')\n", "dax_info.set_index('Symbol', inplace=True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correlation matrix is difficult to interpret" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(10,10))\n", "gs = gridspec.GridSpec(3, 1)\n", "ax_mat = plt.subplot(gs[1:, -2:])\n", "plt.imshow(df.values, interpolation='nearest', axes=ax_mat)\n", "ax_mat.set_yticks(np.arange(len(df.index)))\n", "ax_mat.set_yticklabels(dax_info.loc[df.index]['Ticker symbol'].tolist())\n", "ax_mat.set_xticklabels(dax_info.loc[df.index[map(int, ax_mat.get_xticks())[:-1]]]['Ticker symbol'].tolist())\n", "ax_mat.grid(False)\n", "plt.savefig('correlation.pdf', bbox='tight')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OO4Yzb7/9djjzuc/Fvyz9+8efdL3bbruFM48++mg4M21arCjDF77whfAxRo0a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\nTp1c55kyZUo4Ey12CdmK3HX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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A hierarchical structure (e.g. dendrogram) helps visualize the matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(10,10))\n", "gs = gridspec.GridSpec(3, 3)\n", "\n", "ax_dendrogram = plt.subplot(gs[1:,:1])\n", "Y = sch.linkage(df.values, method='centroid')\n", "Z = sch.dendrogram(Y, orientation='right', no_plot=False, ax=ax_dendrogram)\n", "index = list(reversed(Z['leaves']))\n", "\n", "ax_mat = plt.subplot(gs[1:, -2:])\n", "D = df.values[index,:]\n", "D = D[:,index]\n", "cax = plt.imshow(D, interpolation='nearest', axes=ax_mat)\n", "ax_mat.set_xticks([])\n", "ax_mat.set_yticks([])\n", "\n", "ax_dendrogram.set_yticklabels(dax_info.ix[index]['Ticker symbol'].tolist())\n", "plt.savefig('dendrogram.pdf', bbox_inches='tight')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ymIiIlA8FqJL7/rYWjJrdx64KPe1KKQhQFRERaZGWwyTNmmj94ujs5TCAczPq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\nANUk9VPGTWXKuKkd7mMhdSR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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use bokeh" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from bokeh.plotting import *\n", "from bokeh.objects import HoverTool, ColumnDataSource" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "output_notebook()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ " \n", " \n", " \n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "def to_data_source(df):\n", " \n", " Y = sch.linkage(df.values, method='centroid')\n", " Z = sch.dendrogram(Y, orientation='right', no_plot=True)\n", " index = Z['leaves']\n", " \n", " _names = df.columns.tolist()\n", "\n", " names = [_names[i] for i in index] # if i in range(5)]\n", " \n", " color_of = colorer()\n", "# xnames, ynames = zip( *((c,v) for c,v in permutations(names, r=2)))\n", " xnames = []\n", " ynames = []\n", " values = []\n", " colors = []\n", " for n in names:\n", " xnames.extend([n] * len(names))\n", " ynames.extend(names)\n", " v = df.loc[n, names].tolist()\n", " values.extend(v)\n", " colors.extend(map(color_of, v))\n", " source = ColumnDataSource(\n", " data=dict(\n", " xname = xnames,\n", " yname = ynames,\n", " colors= colors,\n", " values= values,\n", " )\n", " )\n", " return source, names\n", "\n", "def colorer(number_colors = 21):\n", " basis = sns.blend_palette([\"seagreen\", \"ghostwhite\", \"#4168B7\"], number_colors)\n", " palette = [\"rgb(%d, %d, %d)\" % (r,g,b) for r,g,b, a in np.round(basis * 255)]\n", " def color_of(value):\n", " i = np.round((value + 1.) * (number_colors -1) * 0.5)\n", " return palette[int(i)]\n", " return color_of\n", "\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "def corrplot(source, names):\n", " rect('xname', 'yname', 0.9, 0.9, source=source,\n", " x_range=names, y_range=list(reversed(names)),\n", " color='colors', line_color=None,\n", " tools=\"resize,hover,previewsave\", title=\"Correlation matrix\",\n", " plot_width=500, plot_height=500)\n", " grid().grid_line_color = None\n", " \n", " axis().axis_line_color = None\n", " axis().major_tick_line_color = None\n", " axis().major_label_text_font_size = \"7pt\"\n", " axis().major_label_standoff = 0\n", " \n", " xaxis().location = \"top\"\n", " xaxis().major_label_orientation = np.pi/3\n", " \n", " hover = [t for t in curplot().tools if isinstance(t, HoverTool)][0]\n", " hover.tooltips = OrderedDict([\n", " ('names', '@yname, @xname'),\n", " ('value', '@values')\n", " ])\n", " return curplot()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "df = ds.get_at( datetime.date(2003,1,6))\n", "\n", "source, names = to_data_source(df)\n", "bk = corrplot(source, names)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "
\n", "\n" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Construct Minimum Spanning Tree " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal is to reduce the redundancy in the correlation matrix and filter it, creating a graph.\n", "One of the criteria for this is to compute the [Minimum Spanning Tree](http://en.wikipedia.org/wiki/Minimum_spanning_tree).\n", "\n", "Minimum spanning trees are graphs of nodes so that\n", "- all nodes are connected by at least one edge\n", "- the sum of the edges is minimum\n", "- contain no loops\n", "- planar graph, i.e. there is a way of representing it in a 2D surface without any edges overlapping.\n", "\n", "This kind of tree is particularly useful for representing complex networks, filtering the information about the correlations between all nodes and presenting it in a planar graph.\n", "It is constructed using the Kruskal's algorithm. We use the implementation from the [NetworkX package](https://networkx.github.io/documentation/latest/reference/algorithms.mst.html).\n", "\n", "The algorithm requires a transformation of the correlation matrix $[C_{ij}]$ into a distance matrix $[ d_{ij}]$\n", "\n", "$$d_{ij}= \\sqrt{2(1-C_{ij})}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def construct_mst(df, threshold=0.01):\n", " # threshold = 0.05 / len(names):\n", " g = nx.Graph()\n", " names = df.columns.unique()\n", " df_distance = np.sqrt( 2 * np.clip( 1. - df, 0., 2.) ) \n", " for i, n in enumerate(names):\n", " for j, m in enumerate(names):\n", " if j >= i: break\n", " val = df_distance.loc[n,m]\n", " # Bonferroni correction: TODO check implementation\n", " if np.abs(val) > threshold:\n", " g.add_edge(n, m, weight=val)\n", " return nx.minimum_spanning_tree(g)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is an example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mst = construct_mst(df)\n", "\n", "def add_info(g, key, pds):\n", " new_attributes = map( lambda x: (x[0], x[1].decode('utf8')), filter(lambda i: g.has_node(i[0]), pds.iteritems()))\n", " nx.set_node_attributes(g, key, dict(new_attributes))\n", "\n", "add_info(mst, 'group', dax_info['Prime Standard industry group'])\n", "add_info(mst, 'label', dax_info.Company)\n", "\n", "# fig =plt.figure()\n", "# nx.draw_graphviz(mst, node_color='steelblue')\n", "# import mpld3\n", "# fig_d3 = mpld3.display(fig)\n", "# display(fig_d3)\n", "nx.draw_graphviz(mst, font_size=9, font_color='black', node_color='steelblue', labels=dict(map( lambda x: (x[0], x[1].decode('utf8')), filter(lambda i: mst.has_node(i[0]), dax_info.Company.iteritems()))))\n", "plt.savefig('mst.pdf', bbox='tight')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5JhyL4iUpUblRro6r2f0TQg//yYXt87Ar7UmDd3sVcqWvhr1792b7vFixYly+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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We are going to create a small dashboard to inspect the created networks" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from graph import widgetforcelayout\n", "from IPython.display import display\n", "from IPython.html import widgets" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "def construct_dateslider(ds, callback=None):\n", " _time = pd.TimeSeries(ds.time_axis()) #.reindex()\n", " \n", " int_range = widgets.IntSliderWidget(min=100, max=_time.last_valid_index(), value=100, readout=False) \n", " int_range.set_css({'width': '900'})\n", " \n", " text_area = widgets.LatexWidget()\n", " \n", " def get_current_date():\n", " i = int_range.value\n", " val = _time.ix[i]\n", " return val\n", " \n", " def date_to_string(datevalue):\n", " return \"%s/%d/%d\" % (datevalue.year, datevalue.month, datevalue.day)\n", " \n", " def f():\n", " new_date = get_current_date()\n", " new_val = date_to_string(new_date)\n", " if new_val == text_area.value:\n", " return\n", " text_area.value = new_val\n", " if callback: callback(new_date)\n", " \n", " text_area.value = date_to_string(get_current_date())\n", " int_range.on_trait_change(f)\n", " \n", " date_container = widgets.ContainerWidget(children=[int_range, text_area])\n", "# date_container.set_css('border', '3px dotted grey')\n", " return date_container\n", "\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "widgetforcelayout.publish_js()\n", "figure()\n", "source, names = to_data_source(df)\n", "bk = corrplot(source, names)\n", "\n", "graph_widget = widgetforcelayout.GraphWidget(height=500, width=600, link_distance=10, charge=-330,\n", " color_domain=dax_info['Prime Standard industry group'].unique().tolist())\n", "\n", "bokeh_widget= widgets.HTMLWidget()\n", "bokeh_widget.value = notebook_div(curplot())\n", "\n", "corr_container = widgets.ContainerWidget(children=[graph_widget, bokeh_widget])\n", "# corr_container.set_css('border', '3px dotted grey')\n", "\n", "\n", "import time\n", "def update_matrix_mst(datevalue):\n", " _df = ds.get_at(datevalue)\n", " _source, _names = to_data_source(_df)\n", " bk = corrplot(_source, _names)\n", " time.sleep(0.01)\n", "\n", " bokeh_widget.value = notebook_div(curplot())\n", " _mst = construct_mst(_df)\n", " add_info(_mst, 'group', dax_info['Prime Standard industry group'])\n", " add_info(_mst, 'label', dax_info.Company)\n", "\n", " time.sleep(0.01)\n", " graph_widget.set_graph(_mst)\n", " \n", "date_container = construct_dateslider(ds, callback=update_matrix_mst)\n", "date_container.msg_throttle = 1\n", "\n", "mst_title = widgets.HTMLWidget()\n", "mst_title.value='

Minimum Spanning Tree

'\n", "\n", "container = widgets.ContainerWidget( children=[mst_title, corr_container, date_container] )\n", "\n", "\n", "\n", "# display(mst_title)\n", "display(container)\n", "\n", "date_container.remove_class('vbox')\n", "date_container.add_class('hbox')\n", "\n", "corr_container.remove_class('vbox')\n", "corr_container.add_class('hbox')\n", "\n", "mst_stats.plot(figsize=(16,3))\n", "plt.ylabel('Diameter MST')" ], "language": "python", "metadata": {}, "outputs": [ { "javascript": [ "require(\n", " [\"//cdnjs.cloudflare.com/ajax/libs/d3/3.4.1/d3.min.js\",\n", " \"widgets/js/widget\"], function(d3, WidgetManager){ \n", "\n", " var GraphView = IPython.DOMWidgetView.extend({\n", "\n", " render: function(){ \n", "// this.$el.text(this.model.get('description'));\n", " this.guid = 'graph' + IPython.utils.uuid();\n", " this.setElement($('
', {id: this.guid}));\n", " console.log(this.guid);\n", "\n", " this.has_drawn = false;\n", "\n", " this.number = 0;\n", "\n", " console.log(this.model.get(\"color_domain\"));\n", "\n", " // this.colors = d3.scale.category20();\n", " // domain = ['Clothing', 'Insurance', 'Chemicals',\n", " // 'Pharmaceuticals and Chemicals', 'Consumer goods', 'Manufacturing',\n", " // 'Banking', 'Securities', 'Transport Aviation', 'Communications',\n", " // 'Energy', 'Medical', 'Building', 'Industrial gases',\n", " // 'Pharmaceuticals', 'IT', 'Industrial, electronics',\n", " // 'Industrial, manufacturing']\n", " // this.colors.domain(domain);\n", "\n", " this.model.on('change:value', this.value_changed, this);\n", " // this.model.on('change:charge', function(x) {console.log(\"charge\")}, this);\n", "// this.model.on('change:link_distance', this.value_changed, this);\n", "// this.model.on('change:description', this.value_changed, this);\n", " \n", " // Wait for element to be added to the DOM \n", " var that = this;\n", " setTimeout(function() {\n", " that.render_graph();\n", " }, 0);\n", " \n", " },\n", " \n", " render_graph: function() {\n", " console.log(\"render_graph\");\n", " \n", " this.data = {'links': [], 'nodes': []};\n", "\n", "\n", " this.color = d3.scale.category20(this.model.get(\"color_domain\"));\n", " \n", " // this._update_data( {\n", " // \"nodes\": [\n", " // {\"id\":0, \"name\":\"Myriel\",\"group\":1},\n", " // {\"id\":1, \"name\":\"Napoleon\",\"group\":1},\n", " // ]\n", " // ,\n", " // \"links\": [\n", " // {\"source\":1,\"target\":0,\"value\":10},\n", " // ]});\n", " var width = this.model.get(\"width\"),\n", " height = this.model.get(\"height\");\n", "\n", " var that = this;\n", " this.force = d3.layout.force()\n", " .size([width, height])\n", " .nodes(this.data.nodes)\n", " .links(this.data.links)\n", " .linkDistance(100)\n", " .charge(-90)\n", " .on(\"tick\", function() { that.tick(); }); //that.tick);\n", " \n", " this.svg = d3.select(\"#\" + this.guid)\n", " .append(\"svg\")\n", " .attr('class', 'whatever')\n", " .attr(\"width\", this.model.get('width'))\n", " .attr(\"height\", this.model.get('height'));\n", "\n", "\n", " setTimeout(function() {\n", " that.update();\n", " }, 0.1);\n", " },\n", " \n", " _update_data: function(new_data) {\n", " function empty(a) {\n", " while(a.length > 0) { a.pop();};\n", " };\n", " function copy(a_old, a_new) {\n", " for (var i=0; i d3.select(\"#counties\").classed(\"Blues\", false)\n", " // > d3.select(\"#counties\").classed(\"Greens\", true)\n", " },\n", " \n", " _mouseout: function (node) {\n", " d3.select(node).select(\".node\").classed(\"highlighted\", false);\n", " // console.log(\"mouseout\");\n", "\n", " // d3.select(node).select(\".node\").transition()\n", " // .duration(750)\n", " // .attr(\"r\", 8);\n", " },\n", "\n", " value_changed: function() {\n", " console.log(\"value_changed\");\n", " var new_data = this.model.get(\"value\");\n", "\n", " var that = this;\n", " setTimeout(function() {\n", " that._update_svg();\n", " that._update_data(new_data);\n", " that._update_force();\n", " that.start();\n", " }, 0.01);\n", " }\n", "\n", " });\n", " \n", " WidgetManager.register_widget_view('GraphView', GraphView);\n", "});" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "ename": "NameError", "evalue": "name 'mst_stats' is not defined", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 48\u001b[0m \u001b[0mcorr_container\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd_class\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'hbox'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 49\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 50\u001b[1;33m \u001b[0mmst_stats\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m16\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m3\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 51\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mylabel\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Diameter MST'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'mst_stats' is not defined" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diameter of Minimum Spanning Tree over time" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%time\n", "\n", "# initialize DataFrame\n", "all_t = ds.time_axis()\n", "mst_stats = pd.DataFrame(columns=['diameter'], index=all_t)\n", "\n", "# iterate\n", "for t, df in ds.iterate_time():\n", " try:\n", " g = construct_mst(df)\n", " mst_stats.loc[t] = nx.algorithms.diameter(g)# #, nx.algorithms.degree_centrality}\n", " except ValueError as e:\n", " print \"skipping \", t" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 4min 51s, sys: 4.64 s, total: 4min 56s\n", "Wall time: 5min\n" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "mst_stats.plot(figsize=(16,5))\n", "plt.ylabel('Diameter MST')\n", "plt.savefig('diameter.pdf', bbox='tight')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7rIlDUlOJKFFrJHtZWEL33PCXHbU9XIb/pxJZik5RNY5BHs9R9TFa+ZnhojWqxQWVNkEQ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iPj6amdRFHGeSuo6sB0sytlYwQMsG9NlFyZoIu4rF9+sarFxSgzkP3BMiXse567kY5F1Y5eY02w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\npQJbrHDt0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1eivbkGH7pzG+ZyefzVv+2lyrt6Zw9qq7O4bEcPkE7hL7/5DF2H69bhX75P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\nIjtmZocDFwH3Ap8D3gM8Hbje3R8ws5OAPe7+rfpPd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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Construct Planary Maximum Filtered Graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the [planarity library](https://github.com/mvaz/planarity) in order to decide whether a graph is [planar](http://en.wikipedia.org/wiki/Planar_graph).\n", "\n", "The benefits of the PMFG are discussed in length in \n", "\n", " Song W-M, Di Matteo T, Aste T (2012) Hierarchical Information Clustering by Means of Topologically Embedded Graphs. PLoS ONE 7(3): e31929. [doi:10.1371/journal.pone.0031929](http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0031929)\n", " \n", "It basically offers a good trade-off between edge reduction and information retainment." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from graph.algos import construct_pmfg" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "import planarity" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "def construct_pmfg(df_corr_matrix):\n", " df_distance = np.sqrt( 2 * np.clip( 1. - df_corr_matrix, 0., 2.) ) \n", " dist_matrix = df_distance.values\n", " index_upper_triangular = np.triu_indices(dist_matrix.shape[0],1)\n", " isort = np.argsort( dist_matrix[index_upper_triangular] )\n", " G = nx.Graph()\n", " for k in xrange(0,len(isort)):\n", " u = index_upper_triangular[0][isort[k]]\n", " v = index_upper_triangular[1][isort[k]]\n", " if dist_matrix[u,v] > 0: # remove perfect correlation because of diagonal FIXME\n", " G.add_edge(u, v, {'weight': float(dist_matrix[u,v])})\n", " if not planarity.is_planar(G):\n", " G.remove_edge(u,v)\n", " return G" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "def add_info_pmfg(g, key, prop_name, pds):\n", " idx = pds.columns.tolist().index(prop_name)\n", " new_attr = map( lambda r: (r[0], r[1][1][idx]), filter( lambda r: g.has_node(r[0]), enumerate(pds.iterrows())))\n", " nx.set_node_attributes(pmfg, key, dict(new_attr))\n", "\n", "\n", "pmfg = construct_pmfg(df)\n", "graph_widget = widgetforcelayout.GraphWidget(height=600, width=800, link_distance=25, charge=-1000)\n", "\n", " \n", "# ['Ticker symbol']\n", "add_info_pmfg(pmfg, 'label', 'Company', dax_info)\n", "add_info_pmfg(pmfg, 'group', 'Prime Standard industry group', dax_info)\n", "# pmfg.nodes(data=True)\n", "\n", "display(graph_widget)\n", "time.sleep(0.1)\n", "graph_widget.set_graph(pmfg)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "map( lambda v: (dax_info.index[v[0]], v[1]), sorted( nx.algorithms.eigenvector_centrality(pmfg).items(), key=lambda x: x[1]))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "[('ADS.DE', 0.049043173025961624),\n", " ('CBK.DE', 0.07019794395970734),\n", " ('IFX.DE', 0.07186337740740774),\n", " ('VOW3.DE', 0.08554373485017783),\n", " ('EOAN.DE', 0.10413019491713557),\n", " ('FME.DE', 0.10784496408951262),\n", " ('MUV2.DE', 0.1139542680363763),\n", " ('SDF.DE', 0.11971420931895896),\n", " ('CON.DE', 0.12302900048657926),\n", " ('FRE.DE', 0.13328050841143393),\n", " ('DAI.DE', 0.14569266802572808),\n", " ('SAP.DE', 0.1474766606016511),\n", " ('TKA.DE', 0.14892101365301563),\n", " ('DPW.DE', 0.15111231708957262),\n", " ('MRK.DE', 0.15220769706448323),\n", " ('RWE.DE', 0.1603673026450104),\n", " ('DTE.DE', 0.16762914071751536),\n", " ('SIE.DE', 0.18328526142226578),\n", " ('LXS.DE', 0.18405957253478808),\n", " ('HEN3.DE', 0.1913498868609257),\n", " ('LIN.DE', 0.1926191444625879),\n", " ('LHA.DE', 0.19471659145804932),\n", " ('BMW.DE', 0.23798889741484666),\n", " ('BAYN.DE', 0.27052421338966726),\n", " ('BAS.DE', 0.2719406620623792),\n", " ('BEI.DE', 0.27619143818898234),\n", " ('HEI.DE', 0.27747033359470147),\n", " ('ALV.DE', 0.4431407715191102)]" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "nx.algorithms.eigenvector_centrality?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "mean_measure = lambda g, f_m, **d: np.mean(f_m(g, **d).values())\n", "\n", "aggregated_centrality = lambda g: ( mean_measure( g, nx.algorithms.betweenness_centrality, weight='weight'), \n", "mean_measure( g, nx.algorithms.closeness_centrality, distance='weight'), \n", "mean_measure( g, nx.algorithms.eigenvector_centrality) )\n", "\n", "aggregated_centrality(pmfg)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "(0.046499796499796499, 0.47681349305560661, 0.17054624811459035)" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute PMFG aggregated statistics over time" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%time\n", "\n", "# initialize DataFrame\n", "all_t = ds.time_axis()\n", "pmfg_stats = pd.DataFrame(columns=['betweenness_centrality', 'closeness_centrality', 'eigenvector_centrality'], index=all_t)\n", "\n", "# iterate\n", "for t, df in ds.iterate_time():\n", " try:\n", " g = construct_pmfg(df)\n", " pmfg_stats.loc[t] = aggregated_centrality(g)# #, nx.algorithms.degree_centrality}\n", " except ValueError as e:\n", " print \"skipping \", t" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 4min 51s, sys: 4.97 s, total: 4min 56s\n", "Wall time: 5min 16s\n" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "pmfg_stats\n", "pmfg_stats.plot(figsize=(16,5), subplots=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "array([,\n", " ,\n", " ], dtype=object)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+iL17d1vkkDQjqN3vX3/9FUuWLMG+ffvw6pXBLODWrRsICHiFL774IlvrlBMU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\nkpLcd4WKinK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4EUJ2EEKM9iika1AsHLzGxsYiKCgQABAZGYEDB/bxeVwA5fj4ONEPjqNVq19Q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kejdCK933//A6ampnne1sqV6zB58jR+/vLliwgOvpDr7fysH8tceEz58iZyy+bP/4ef/t//zuHD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\nAyFkBoCiAHw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