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rank_test.ipynb
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{ | |
"cells": [ | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "import numpy as np\nimport theano.tensor as tt\nfrom theano import function\nimport pymc3 as pm\nimport matplotlib.pyplot as plt\nimport pandas as pd\nimport seaborn as sns\nimport networkx as nx\n%matplotlib inline", | |
"execution_count": 35, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from itertools import product, combinations, permutations\n\n# actual item \"quality\", and pairwise comparisons\nn_itm = 20\na = 10*np.random.rand(n_itm,1)\n# a = (a-a.mean())/a.std()\npwc = np.where(a>a.T, 1,0)\n\n# which comparisons were judged\nn_comp = 200\ncombs = np.array(list(permutations(range(n_itm), 2)))\ncomp_obsv = combs[np.random.choice(combs.shape[0], n_comp, replace=False)]\nS = np.zeros_like(pwc)\n\nfor obs in comp_obsv:\n S[obs[0],obs[1]] += pwc[obs[0],obs[1]]\n \n# dummy observations:\n# Add some noise to the ground truth x 2\n# S = 2*S + np.random.randint(1,size=(n_itm,n_itm))\n# S = S - S.diagonal()", | |
"execution_count": 588, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"hide_input": false, | |
"scrolled": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "f,ax = plt.subplots(ncols=3, figsize=(12,5), sharey=True,\n gridspec_kw = {'width_ratios':[2.5, 2.5, 1]})\nax[0].spy(pwc)\nax[0].set(title='True comparisons', xlabel='$X_j$', ylabel='$X_i$')\nax[1].spy(S)\nax[1].set(title='Observed comparisons', xlabel='$X_j$', ylabel='$X_i$')\nax[2].barh(range(0,n_itm), a-a.min())\nax[2].axis('off')\nax[2].set(title='True Value')\n# plt.barh\nf.suptitle('$X_i>X_j$ ?', y=1.02, x=.45, fontsize=20)\nf.tight_layout()", | |
"execution_count": 611, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00f40e6668>", | |
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BIX9VtbOqHnCMsF6V4cv9k5O8aOwtS4Yfc76tqn5ijPMaVfVdVXXbMbf+ZZIn1XAioTMz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\nRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"hide_input": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "f,ax = plt.subplots(ncols=3, figsize=(12,5), sharey=True,\n gridspec_kw = {'width_ratios':[2.5, 2.5, 1]})\nax[0].spy(pwc[a[:,0].argsort(axis=0),a.argsort(axis=0)])\nax[0].set(title='True comparisons', xlabel='$X_j$', ylabel='$X_i$')\nax[1].spy(S[a[:,0].argsort(axis=0),a.argsort(axis=0)])\nax[1].set(title='Observed comparisons', xlabel='$X_j$', ylabel='$X_i$')\n\nax[2].barh(range(0,n_itm), (a-a.min())[a[:,0].argsort(axis=0)[::-1]])\nfor axis in ax:\n axis.axis('off')\nax[0].plot(range(n_itm), range(n_itm), color='r', alpha=.5)\nax[1].plot(range(n_itm), range(n_itm), color='r', alpha=.5)\nax[2].set(title='True Value')\n# plt.barh\nf.suptitle('Sorted', y=1.02, x=.43, fontsize=20)\nf.tight_layout()", | |
"execution_count": 610, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00f3cf9208>", | |
"image/png": 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xskQWwHAiC2BuCSxOnsgCGE5kAcwlgcVsiCyA4UQWwNwRWMyOyAIYTmQBzBWB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\nAMCECCwAAIAJ+f8BUNzdYoxR1ecAAAAASUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "def Φ(z):\n return 0.5 * (1 + tt.erf(z / np.sqrt(2)))\n\n# Thurstone \"Law of Comparitive Judgement\"\nwith pm.Model() as model:\n μ = pm.Uniform('μ', 0, 10, shape=(n_itm, 1)) # quality priors\n# σ = pm.HalfCauchy('σ', 1, shape=(n_itm, 1))\n# σ = pm.Uniform('σ', .1, 1.5, shape=(n_itm, 1))\n X = pm.Normal('X', μ, sd=.5, shape=(n_itm, 1)) # model the items\n \n # is each X_i better than each X_j?\n μ_ij = X-tt.transpose(X) \n logP = pm.DensityDist('logP', \n lambda Sij: tt.sum(Sij*Φ(μ_ij)),\n observed=S)\n ", | |
"execution_count": 591, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "with model:\n trace = pm.sample(2000)", | |
"execution_count": 592, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using jitter+adapt_diag...\n100%|██████████| 2500/2500 [00:15<00:00, 163.08it/s]\n", | |
"name": "stderr" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"cell_style": "split", | |
"hide_input": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "# with plt.xkcd(length=500, scale=.1):\nplt.figure(figsize=(5,8))\npm.forestplot(trace, varnames=['X'],\n# quartiles=False,\n plot_kwargs={'marker':'|',\n 'markersize':500,\n 'linewidth': 20})\n# plt.xlim(-3,3)\nplt.scatter(a[:,0], \n np.linspace(0,1-n_itm,n_itm), \n color='r', marker='x',\n zorder=10)", | |
"execution_count": 593, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 593, | |
"data": { | |
"text/plain": "<matplotlib.collections.PathCollection at 0x7f00f4eccd68>" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00f5046d68>", | |
"image/png": 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Dx3OsjPc4OAgRDAzAsmUwe3b2ODCQOmibiYquUX8vIlZIWg5cCbwZeAHYLmlb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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"cell_style": "split", | |
"hide_input": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from scipy.stats import rankdata, kendalltau\n\nprint(f'Comparison Fraction: {n_comp/n_itm**2:.2f}')\n\nrnkT = rankdata(a)\npred = trace.get_values('X').mean(axis=0)\nrnkP = rankdata(pred)\ntau, pval = kendalltau(rnkT, rnkP)\nprint(f'Kendall\\'s Tau:\\t{tau:.4f}')\nprint(f'P-value:\\t{pval:.4f}')\nprint('\\nRank: \\nID\\tTrue\\tPred.')\nfor i in range(n_itm):\n marker = lambda s: 'X' if s else ''\n print(f'ID-{i}: \\t{rnkT[i]:.0f}\\t{rnkP[i]:.0f}\\t{marker(rnkP[i]!=rnkT[i])}')\n\n# print(rankdata(a))\n# print(rankdata(trace.get_values('true_value').mean(axis=0)))", | |
"execution_count": 661, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "Comparison Fraction: 0.50\nKendall's Tau:\t0.8632\nP-value:\t0.0000\n\nRank: \nID\tTrue\tPred.\nID-0: \t4\t4\t\nID-1: \t12\t13\tX\nID-2: \t18\t18\t\nID-3: \t14\t11\tX\nID-4: \t7\t9\tX\nID-5: \t20\t19\tX\nID-6: \t3\t2\tX\nID-7: \t6\t5\tX\nID-8: \t10\t12\tX\nID-9: \t16\t17\tX\nID-10: \t19\t20\tX\nID-11: \t8\t10\tX\nID-12: \t17\t16\tX\nID-13: \t1\t1\t\nID-14: \t9\t8\tX\nID-15: \t5\t6\tX\nID-16: \t13\t14\tX\nID-17: \t15\t15\t\nID-18: \t2\t3\tX\nID-19: \t11\t7\tX\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": " pm.traceplot(trace, varnames=['X'])\n", | |
"execution_count": 595, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 595, | |
"data": { | |
"text/plain": "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f00f4e42d68>,\n <matplotlib.axes._subplots.AxesSubplot object at 0x7f00f4e0f3c8>]], dtype=object)" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00f4eb22b0>", | |
"image/png": 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i0AU8JP5IolSG58LA1AlGu4gdD087NPqwP0o54yxyk5yj1Jec4hi73TdT8Ap4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Y7F91sRKSISY0yBOO4njvvZZ/59MtANLIVR3w2iCIrNhIM5ck95eNtj1G8H0f2gS6CMT3DEdMJ5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9toVwhU3wvhamWvZi2E5T0zH0rfhzWl57EkJIak8+ydTNNzO1fj2Dn/gEg5/4BHYu4v+0997h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\nb66h7Di8OZ7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PY48Vqc5XE7TdBojwCWobalnYsZC62jqqqqpIJpNoU15k0nFIDw4wdOYk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\nSUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from scipy.stats import rankdata\n# Xt = trace.get_values(varname='X')[1000:,:,0]\nf, ax = plt.subplots(ncols=2, figsize=(15, 6), \n sharey=True, gridspec_kw={'width_ratios':[3,2]})\n\nXt = pm.trace_to_dataframe(trace, varnames=['X'])\nXt.columns = range(n_itm)\nranks_n = Xt.mean().sort_values()[::-1].index.values\nXt.columns = [f'ID-{i}' for i in range(n_itm)]\nranks = Xt.mean().sort_values()[::-1].index.values.tolist()\n# ranks = np.argsort(a[:,0])[::-1]\nsns.boxplot(data=Xt,fliersize=0, notch=True, orient='h', \n order=ranks, color='w', ax=ax[0])\nax[0].scatter(a[:,0][ranks_n], np.arange(n_itm), marker='x', color='r')\nsns.despine(ax=ax[0], offset=10, trim=True)\nax[0].set(xlabel='score', \n yticks=range(n_itm), xticks=range(11))\nax[0].set_yticklabels(ranks, minor=True)\nax[0].minorticks_on()\na_est = trace.get_values('X').mean(axis=0)\npwc_est = np.where(a_est>a_est.T, 1,0)\nax[1].spy(pwc_est[a[:,0].argsort(axis=0),a.argsort(axis=0)])\nax[1].plot(range(n_itm), range(n_itm), color='r', alpha=.5)\nax[1].axis('off');\n\nplt.tight_layout()", | |
"execution_count": 659, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00eda4beb8>", | |
"image/png": 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BMVFiAMCEJFxgOOeKhy4PSyqcwP2YcAsgbVRXV/sdARmmvb1db775pmbPmaO+vj69/vrr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\nAElFTkSuQmCC\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "a_est = trace.get_values('X').mean(axis=0)\npwc_est = np.where(a_est>a_est.T, 1,0)\nplt.spy(pwc_est[a[:,0].argsort(axis=0),a.argsort(axis=0)])\nplt.plot(range(n_itm), range(n_itm), color='r', alpha=.5)\nplt.gca().axis('off');", | |
"execution_count": 606, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00f466c780>", | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "np.tril(pwc_est[a[:,0].argsort(axis=0),a.argsort(axis=0)]).sum()\n# plt.spy(np.tril(pwc_est[a[:,0].argsort(axis=0),a.argsort(axis=0)]))", | |
"execution_count": 603, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 603, | |
"data": { | |
"text/plain": "13" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "## Movie Madness" | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"collapsed": true | |
}, | |
"cell_type": "code", | |
"source": "df = pd.read_csv('decisions.csv')\n\ndf_dat = pd.read_csv('bad_movie.csv', header=None)\n\ndf[['Winner ID', 'Loser ID']]=df[['Winner ID', 'Loser ID']]\n\ndf = df.assign(WinName=df['Winner ID'].apply(lambda x: x-2).map(df_dat.iloc[:,0].to_dict()),\n LosName=df['Loser ID'].apply(lambda x: x-2).map(df_dat.iloc[:,0].to_dict()))\ncomp_obsv = df[['Winner ID', 'Loser ID']].values # starts at 2\n\n\nn_itm = df_dat.shape[0]\nS = np.zeros((n_itm, n_itm))\nfor obs in comp_obsv:\n S[obs[0]-2,obs[1]-2] += 1\n# S.sort()\n# sns.clustermap(S, col_cluster=False)\n# plt.title(\"NxM: N is better than M\")", | |
"execution_count": 664, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "def Φ(z):\n return 0.5 * (1 + tt.erf(z / np.sqrt(2)))\n\n# Thurstone \"Law of Comparitive Judgement\"\nwith pm.Model() as model:\n μ = pm.Uniform('μ', 0, 10, shape=(n_itm, 1)) # quality priors\n X = pm.Normal('X', mu=μ, sd=.5, shape=(n_itm, 1)) # model the items\n \n # is each X_i better than each X_j?\n μ_ij = X-tt.transpose(X) \n logP = pm.DensityDist('logP', \n lambda Sij: tt.sum(Sij*Φ(μ_ij)),\n observed=S)\nwith model:\n trace = pm.sample(2000)\n\n \nwith pm.Model() as bt_model:\n μ = pm.Uniform('μ', 0, 10, shape=(n_itm, 1)) # quality priors\n X = pm.Normal('X', mu=μ, sd=.5, shape=(n_itm, 1)) # model the items\n \n # is each X_i better than each X_j?\n μ_ij = X-tt.transpose(X) \n logP = pm.DensityDist('logP', \n lambda Sij: tt.sum(Sij*Φ(μ_ij)),\n observed=S)\nwith btmodel:\n bt_trace = pm.sample(2000)\n ", | |
"execution_count": 665, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "Auto-assigning NUTS sampler...\nInitializing NUTS using jitter+adapt_diag...\n100%|██████████| 2500/2500 [00:14<00:00, 168.37it/s]\n", | |
"name": "stderr" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "with plt.xkcd():\n pm.traceplot(trace[1000:], varnames=['X'])", | |
"execution_count": 666, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "/home/tbsexton/anaconda3/lib/python3.6/site-packages/matplotlib/__init__.py:917: UserWarning: axes.hold is deprecated. Please remove it from your matplotlibrc and/or style files.\n warnings.warn(self.msg_depr_set % key)\n/home/tbsexton/anaconda3/lib/python3.6/site-packages/matplotlib/rcsetup.py:152: UserWarning: axes.hold is deprecated, will be removed in 3.0\n warnings.warn(\"axes.hold is deprecated, will be removed in 3.0\")\n", | |
"name": "stderr" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00eeaf5080>", | |
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1aQ1cqVRq2kDdat+ttt763mrnfX197UH/xVDfWmvGx8fbM5VTQ5iKxWJbKW51yq06nTqr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\nM3PmTJODX3N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88ENIpVKEhYXB3t4eW7duRVZWFv7zn/9Ap9PV2t4PHToEoPpJHZ1OB5FI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\ncTgcDofD4XA4HE4d+R8obh/Ux00NwAAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "Xt = trace.get_values(varname='X')[1000:,:,0]\ndf_res = pd.DataFrame({\n 'title': df_dat[0],\n 'μ': Xt.mean(axis=0),\n 'iqr': np.subtract(*np.percentile(Xt, [75, 25], axis=0))\n}).sort_values('μ', ascending=False)\n# np.argsort(Xt.mean(axis=0)[:,0])\ndf_res", | |
"execution_count": 667, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 667, | |
"data": { | |
"text/plain": " iqr title μ\n7 1.642491 xXx 8.606122\n11 1.652049 Conan the Barbarian (1982) 8.519730\n0 2.933773 The Fast and the Furious: Tokyo Drift 6.533230\n9 2.653965 The Last Action Hero 6.181488\n2 3.463450 The Master of Disguise 5.422970\n6 2.999181 Godzilla (1998) 5.258812\n4 3.156383 Batman & Robin 5.157528\n5 3.045243 Highlander 2: The Quickening 3.725528\n10 2.893117 Battlefield Earth 2.836178\n1 3.068219 Bee Movie 2.821261\n8 2.550125 Catwoman 2.527667\n3 1.646749 The Last Airbender 1.322483", | |
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>iqr</th>\n <th>title</th>\n <th>μ</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>7</th>\n <td>1.642491</td>\n <td>xXx</td>\n <td>8.606122</td>\n </tr>\n <tr>\n <th>11</th>\n <td>1.652049</td>\n <td>Conan the Barbarian (1982)</td>\n <td>8.519730</td>\n </tr>\n <tr>\n <th>0</th>\n <td>2.933773</td>\n <td>The Fast and the Furious: Tokyo Drift</td>\n <td>6.533230</td>\n </tr>\n <tr>\n <th>9</th>\n <td>2.653965</td>\n <td>The Last Action Hero</td>\n <td>6.181488</td>\n </tr>\n <tr>\n <th>2</th>\n <td>3.463450</td>\n <td>The Master of Disguise</td>\n <td>5.422970</td>\n </tr>\n <tr>\n <th>6</th>\n <td>2.999181</td>\n <td>Godzilla (1998)</td>\n <td>5.258812</td>\n </tr>\n <tr>\n <th>4</th>\n <td>3.156383</td>\n <td>Batman & Robin</td>\n <td>5.157528</td>\n </tr>\n <tr>\n <th>5</th>\n <td>3.045243</td>\n <td>Highlander 2: The Quickening</td>\n <td>3.725528</td>\n </tr>\n <tr>\n <th>10</th>\n <td>2.893117</td>\n <td>Battlefield Earth</td>\n <td>2.836178</td>\n </tr>\n <tr>\n <th>1</th>\n <td>3.068219</td>\n <td>Bee Movie</td>\n <td>2.821261</td>\n </tr>\n <tr>\n <th>8</th>\n <td>2.550125</td>\n <td>Catwoman</td>\n <td>2.527667</td>\n </tr>\n <tr>\n <th>3</th>\n <td>1.646749</td>\n <td>The Last Airbender</td>\n <td>1.322483</td>\n </tr>\n </tbody>\n</table>\n</div>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "# D = nx.from_numpy_matrix(S, create_using=nx.DiGraph())\nimport matplotlib.cm as cm\nfrom matplotlib.colors import Normalize\n\ndf.groupby(['WinName', 'LosName'], as_index=False).count()\nD = nx.from_pandas_dataframe(df.groupby(['WinName', 'LosName'], as_index=False).count(), \n 'LosName', 'WinName', create_using=nx.DiGraph(), edge_attr='Time')\n\nfor n,res in df_res.iterrows():\n D.node[res['title']]['μ'] = res['μ']\n D.node[res['title']]['iqr'] = res['iqr']\n\n# plt.figure(figsize=(8,8))\n\nwith plt.xkcd():\n f,ax = plt.subplots(ncols=2, figsize=(16,8), \n gridspec_kw={'width_ratios':[1,4]})\n with sns.axes_style('white'):\n sns.despine()\n sns.boxplot(y = df_dat[0].iloc[np.argsort(Xt.mean(axis=0))[::-1]], \n x=[Xt[:,i] for i in range(12)],\n fliersize=0, notch=True, ax=ax[0], color='w')\n cts = [D.edge[n][m][\"Time\"] for n,m in D.edges_iter()]\n vals = [D.node[n]['μ'] for n in D.nodes()]\n cmap=plt.get_cmap('viridis_r')\n norm_e = Normalize()\n norm_n = Normalize()\n m_e = cm.ScalarMappable(norm=norm_e, cmap=plt.get_cmap('viridis_r'))\n m_n = cm.ScalarMappable(norm=norm_n, cmap=plt.get_cmap('RdBu'))\n\n pos=nx.layout.fruchterman_reingold_layout(D, weight='Time', pos=nx.circular_layout(D))\n nx.draw_networkx(D, pos=pos,cmap=cmap, ax=ax[1], node_size=500,\n edge_color=m_e.to_rgba(cts), node_color=m_n.to_rgba(vals))\n nx.draw_networkx_labels(D, pos, ax=ax[1],font_color='xkcd:slate');\n ax[1].axis('off');\n\n\n# print(D.degree())", | |
"execution_count": 669, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "/home/tbsexton/anaconda3/lib/python3.6/site-packages/matplotlib/__init__.py:917: UserWarning: axes.hold is deprecated. Please remove it from your matplotlibrc and/or style files.\n warnings.warn(self.msg_depr_set % key)\n/home/tbsexton/anaconda3/lib/python3.6/site-packages/matplotlib/rcsetup.py:152: UserWarning: axes.hold is deprecated, will be removed in 3.0\n warnings.warn(\"axes.hold is deprecated, will be removed in 3.0\")\n", | |
"name": "stderr" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": "<matplotlib.figure.Figure at 0x7f00ee320b70>", | |
"image/png": 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+D6G7z0DSRMhcC+Tx+16lQvrXqPSvwRSB8umM5tMFzXLHNdwZIYQQfzeSsSVu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gAAAg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4XEfkjnDoR1JCJmE0rofxHGBr5MFqGEI8I/u+ycrirAvlOQthWoqeOQ8e2QSQ8h3UcQQQMQ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SyUYlolfp8scoS6Qh+7b0RVA4i/atvzvhPf/KyuK1dWv5+u+dVPps/8nn6B+ZeNwlwvSW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\nCc3oTQAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "!['movie ranking results'](movie_res.png)" | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "[Rank Centrality](https://arxiv.org/abs/1209.1688): Ranking from Pair-wise Comparisons" | |
}, | |
{ | |
"metadata": { | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "print('{:<50}{:10}{:}'.format('title', 'PgRk', 'Score'))\nd = nx.pagerank(D, weight='Time')\nfor w in sorted(d, key=d.get, reverse=True):\n print('{:<50}{:.3f}{:10.2f}'.format(w, d[w], D.node[w]['μ']))\n\n", | |
"execution_count": 706, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "title PgRk Score\nConan the Barbarian (1982) 0.156 8.52\nxXx 0.141 8.61\nThe Fast and the Furious: Tokyo Drift 0.139 6.53\nGodzilla (1998) 0.110 5.26\nHighlander 2: The Quickening 0.103 3.73\nThe Master of Disguise 0.097 5.42\nThe Last Action Hero 0.083 6.18\nBatman & Robin 0.080 5.16\nBee Movie 0.031 2.82\nBattlefield Earth 0.020 2.84\nCatwoman 0.020 2.53\nThe Last Airbender 0.018 1.32\n", | |
"name": "stdout" | |
} | |
] | |
} | |
], | |
"metadata": { | |
"_draft": { | |
"nbviewer_url": "https://gist.github.com/51d029806283019d48c1cba98076620d" | |
}, | |
"gist": { | |
"id": "51d029806283019d48c1cba98076620d", | |
"data": { | |
"description": "rank_test.ipynb", | |
"public": true | |
} | |
}, | |
"hide_input": false, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3", | |
"language": "python" | |
}, | |
"language_info": { | |
"name": "python", | |
"version": "3.6.2", | |
"mimetype": "text/x-python", | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"pygments_lexer": "ipython3", | |
"nbconvert_exporter": "python", | |
"file_extension": ".py" | |
}, | |
"varInspector": { | |
"window_display": false, | |
"cols": { | |
"lenName": 16, | |
"lenType": 16, | |
"lenVar": 40 | |
}, | |
"kernels_config": { | |
"python": { | |
"library": "var_list.py", | |
"delete_cmd_prefix": "del ", | |
"delete_cmd_postfix": "", | |
"varRefreshCmd": "print(var_dic_list())" | |
}, | |
"r": { | |
"library": "var_list.r", | |
"delete_cmd_prefix": "rm(", | |
"delete_cmd_postfix": ") ", | |
"varRefreshCmd": "cat(var_dic_list()) " | |
} | |
}, | |
"types_to_exclude": [ | |
"module", | |
"function", | |
"builtin_function_or_method", | |
"instance", | |
"_Feature" | |
] | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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