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@yngtodd
Created September 6, 2017 14:41
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Optimizing Nonnegative Matrix Factorizations
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Hitchhiker's Map\n",
"### A Visual Guide for our Hyperspace Exploration"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x107cb9da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import os\n",
"import numpy as np\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.set_cmap(\"viridis\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Objective Function: Reconstruction Error"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Let's remind ourselves of what the objective function was\n",
"def objective(space):\n",
" # New setting for each hyperparameter\n",
" alpha, l1 = space\n",
"\n",
" model.set_params(alpha=alpha, l1_ratio=l1)\n",
" W=model.fit_transform(rcv1.data)\n",
"\n",
" nmf_labels_pred=np.array(W.argmax(1)).flatten()\n",
" rcv1_labels_true=np.array(rcv1.target.argmax(1)).flatten()\n",
" rel_err = model.reconstruction_err_\n",
" nmf_nmi = metrics.normalized_mutual_info_score(rcv1_labels_true, nmf_labels_pred)\n",
" # nmf_ch = metrics.calinski_harabaz_score(rcv1.data, nmf_labels_pred)\n",
" print('rel err:' + str(rel_err) + ' nmf_nmi:' + str(nmf_nmi))\n",
" return nmf_nmi"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Loading Results "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of Gaussian processes over non-negative matrix factorizations: 4\n",
"\n"
]
}
],
"source": [
"from skopt import load\n",
"nmf_path = '/Users/ygx/hitchhikers_journal/nmf_map/results_rerr/'\n",
"\n",
"nmf_results = []\n",
"for file in os.listdir(nmf_path):\n",
" full_path = os.path.join(conv_path, file)\n",
" #print(file)\n",
" nmf_results.append(load(str(full_path)))\n",
"\n",
"print(\"Number of Gaussian processes over non-negative matrix factorizations: {}\\n\".format(len(nmf_results)))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"res0 = nmf_results[0]\n",
"res1 = nmf_results[1]\n",
"res2 = nmf_results[2]\n",
"res3 = nmf_results[3]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Convergence Plot"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x111379518>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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kY6id+Hxzm8839/mMc5vPN7f5fHNbtj7fk08+eXGM8bgPOy8/HWGAU4C3Y4xr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\nHpl/dAdP2GDUHy3qr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neSKcCtwOIkq6tqUWvJ5cD6qjrSjK+g56iKJEkaAHZSSJI0BDVd\nBu8DDzZTvwGjkoxMci5w22mEvTjJtOZ6LvAtsBq4K8kogCQjklzSQaxvgNuTnJ9kGHBHM9efL4C7\njx3nSDKCnq6HP5sCxTh6jo6cUJILgQNVtQJYAkw5bskkYFNrfAWwpYP3kSRJHbCTQpKkoWsp8ARA\nVR1KsghYB/wK7DyNeLuAx5O8DfwAvNYUBxYCnzf/veMQ8Diwp584VNWGJMuafADeqqqNJ9mzPckL\nwFdJjgAbgUeAeUl2NPn1dbSkbRKwJMnRJtdH+7j/XWs8ETspJEkaMOk5UipJkiRJkjS4PO4hSZIk\nSZK6gkUKSZIkSZLUFSxSSJIkSZKkrmCRQpIkSZIkdQWLFJIkSZIkqStYpJAkSZIkSV3BIoUkSZIk\nSeoKFikkSZIkSVJX+BchndPtAOu1zgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111346550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from skopt.plots import plot_convergence\n",
"fig=plt.figure(figsize=(18, 16))\n",
"\n",
"plot_convergence((\"gp_zero\", res0),\n",
" (\"gp_one\", res1),\n",
" (\"gp_two\", res2),\n",
" (\"gp_three\", res3))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1128787b8>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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V9UdH4jLGKF/o7roAsFie2/4S1Wx1d/cYAAAAgouQoo9cdO7Jev5pk5otVnT9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\n1eS+vB/AY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"text/plain": [
"<matplotlib.figure.Figure at 0x1128783c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(18, 16))\n",
"plot_convergence(nmf_results)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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wZEBlxq7Vh3hFYyEI3ovNbHXU8Y8DR4THVxAUln2tl/ZXh4Vm/wI8KekBYEXG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\n0vj6BSaIAJ8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115802438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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3sf/521p27Kvmkc+/mykjfRJKpghXzJsMNG0maWYvJ65FLh1kXoDuxjzol94q\nY9Fr21jw3omcPr7V4UmXRiR9lmBVvNHACmAuweL+5ySyXS71Zd5U727Kg66oruOWx1YxaUR/vpKe\nO5K4lt0EnA5sNbOzgVMI1p12rlMyL0CXlrZ9TQd8d/Fayipr+PFHZ9G3V2vb17k0dNjMDgNI6mNm\n64ATE9wmlwYyb4ijG/KgS/ZX8+iyHXxi7jhmjh7cpXW7lLBD0mDgT8DfJe0Dtia4TS4NZF6A7gb3\n/3MzAJ99j9/Uz0Rmdmn49I5wwaRBwNMJbJJLEx6gO6miuo6HXtvGxTOPZ/SQ3EQ3x/UgSQPN7ECz\nCSurw6/9AZ+o4jrFA3Qn/X7pVqpqG1jw3hMS3RTX8/4AXMTRE1aiv/pEFdcpHqA7oaa+gQde2cJ7\nJuczbdTAtgu4tGJmF4VffWzLdYvMy+LowjzoP71RQtnBGha81ztKyU7SzZKKJa2RtEhSX0kPS1oR\nPrZIWhFee76kZZJWh19bzWeW9Fw8x5xrr8zrQXdhHvQjRTuYMrI/831H7qQmqQC4EZhmZtXhhrBX\nmdmVUdf8CKgIX+4BLjazUknTgSVAQYx6+wK5QH44kzCyJsfAWNc7116ZF6C7aD3o0v3VLNu6j6++\nbwpSrLVyXJLJAfpJqiMIqk0J8Qp+gB8lnPlnZm9ElSsOy/Uxs5pmdX4e+DIwimAcOvIP4QDws+74\nEC6zpFWAlrQAWAAwduzY2Bd1UR70U2uCHY0+MOP4TtflukS+pOht3Bea2UIAMyuRdCewDagGnjGz\nZ6KufQ+wy8zejlHvZcDyGMEZM7tL0s+Ab5rZt7vskzgXSqsxaDNbaGaFZlY4fPjwbn2vxat3ctLx\nA5noq9Uliz2Rn334WBg5EQ4/XAJMIOjt5km6Jqrs1cCi5hVKOhn4PkFPOSYzawA+0kWfwbmjpFWA\n7imR4Y0PzvDtq1LEecBmMyszszrgcWAegKQcggD7cHQBSaOBJ4BrzWxjG/U/J+ky+ViX62IeoDvA\nhzdSzjZgrqTcMIieC6wNz50HrDOzHZGLw2nbfwNuNbNX4qj/88CjQI2kA5IOSjrQtR/BZSIP0B3w\nt1WlPryRQsxsKfAYsJxgpl8WEBkCuYpjhze+CEwCbotKwxvRSv0DzCzLzHqb2cDwtSfGu05Lq5uE\ncelkHnTp/mqWb9vPV9/nS4qmEjO7HTjmh29mn4xx7DvAd9pTvy/Y77pD5gXoTuZBP+3DG64ZX7Df\ndZfMG+IWAX9oAAAgAElEQVTo5HrQz67dxeQR/X14w0XzBftdt8i8AF3Q8QleBw/X8drmvZxzUovD\nkS4z+YL9rltk3hBHJ/zj7T3UNxrnnOgB2h3FF+x33cIDdDs8v243A/vmcNq4IYluiksivmC/6y4e\noOPU2Gi8uH43Z544gpzszBsZcscKF0u6jiAlbzVwn5m9lNhWuXTikSZOq0oq2FNZy7lTfXjDNXkQ\nKCQIzhcCP0psc1y6ybwedAfzoJ9ft5sswZlTuneND5dSppnZDABJ9wGvJbg9R5F0HTDLzK4PX38H\nGGdmn0hsy1y8Mq8H3cE86BfW7eaUsUMYkte7a9vjUlld5ImZ1SeyIS34DXCRpMGSLgI+SLjao0sN\nmRegO5AHvfvAYVaXVHCOD2+4o80K1944IOkgMDOZ1uIws0ME09j/B/h/wOVmVp3YVrn2yLwhjg6s\nB/10cTB70AO0i2Zm2YluQxzuJ1gY6pI4VuVzSSbzetDt1NhoPPivLcwcPYipxw1IdHOca6/bgDKi\nOmOSJkq6T9JjiWuWi0dGBmgzo7yyhs17qtiwu5K3dx2krqEx5rX/2LCHjWVVfHLeeN/ayqUUSf9J\nsHjTRwmmowNgZpvM7DMJa5iLW0YNcfxwyTq+Bpzy7b+z/1DdUedGDOjDx981jo+9ayzDB/RpOv7A\nK5vJ79+HD870xZFc6gh3Iv8U8G4zOyhpoKTZZrYi0W1z8cuoAF26/zAQrER3wvD+DMvrTVaWqKtv\n5MmVpfzvs2/x8xc2cOuFU/nUGePZtKeKF9eX8eXzJtMnJxWGG50DSWOBe4EPmtnB8PBdBBvcfjJR\n7XLtl1EB+n+vnA1rb+f/XjrjmHOXnTaajWWVfHfxOv77r2+ysawSA3pnZ/Hxd43r+cY610Fmtg2Y\n2OzYr4FfA0gaRpDZcYqkb5jZd3u6jS4+si7Y4ToZFRYWWlFRUdsXNtPYaPxgyXrueSm44f2RUwv4\n8Udnd3XzXBeTtMzMChPdDue6UubdJGwjDzorS9x64VR+ePlMxgztx+ffe0IPNcw5546WeQE6zvWg\nrygcwz++fg4nempdWpB0s6RiSWskLQoXOkLSlyStC8/9oFmZsZIqJX01Ma12mS7zArTLOJIKgBuB\nQjObDmQDV0n6OvA9gnsxvwXubFZ0EVAP3CypSNL8qDovkLRe0gZJt8Z4z1bPR113uqR6SZdHHdsi\naXW4We0x43Tx1C3prLB8saSX4i0bx/mvRW2ku0ZSg6ShXdFuSUMkPSFplaTXJE1vz2dOS2aWlo/T\nTjvNYoLYx11KA4qshX8LQAGwHRhKEIz/ClwAVALXAL2BlQSLH0XKfBj4CXAH8FVgJrAuPJcNbCS4\nERerbKvnm133PLCYYBp25PgWIL+Fz9Jm3cBg4E1gbPh6RFe2O+r6i4Hnu7DdPwRuD59PBZ7rSLvS\n6ZFWPWhJC8KeTlFZWVmim+N6Vn7kZx8+mhYFMrMSgt7xNmAnUBE+Ggl24v4HMAD4AoCk/sAtwH9F\n1Z8HRO6ozwE2WDDhoxZ4CLgk6tq2zkd8CfgjsLsdnzOeuj8GPG5BNgdmtjvOsvG2O+Jqgr8yuqrd\n0wh+YWHBtmHjJY3sQLvSRloFaDNbaGaFZlY4fLgvC5ph9kR+9uFjYeSEpCEE/6EnAKMIgu1VBMMX\nQwl24X4QuFbBdNE7gP81s0qCntzXgb8Bnw6rjPTII3aEx4jzfGTY5VLg7hifxYBnJS2L/kUTb93A\nFGCIpBfDOq7tqnZHtT+X4K+QP3Zhu1cCHwnrnwOMI9gpPe52pZu0zYNetmzZHkmx94XzKdvpqLVk\n9fOAzWZWBiDpcYJeZhVBT9MkbSIIMPnAu4DLw5uGgwl62g8C3w7r6go/AW4xs8YYSwjMN7MSSSMI\n9jhcZ2Yvt6PuHOA04FygH/BvSa92SauPuBh4xcz2Rh3rbLu/B9wlaQXBJghvAA1d1+TUk7YB2sy8\nC+0itgFzw15fNUHgKgbGAGcDLwCzCQL0HjN7T6SgpDuASjO7U9ImSflASVg2YnR4LKKt8xDsxPJQ\nGJzzgQ9IqjezP4VDMpjZbklPEPyJHwl08dS9Ayg3syqgStLLwKzweGfbHXEVzYY3OttuMztAMD2d\n8C+ZzcAmgl8y8bYrvSR6ENwf/uiJB/AtYB2whiBjI5fgP/8TBMH6EPCpZmUmceQm4akEQUEEHZtN\nBEMmkZtWJ0eVa/V8jLb9mvAmIcHwy4Co5/8CLmhP3cBJwHPhtbnhZ57eVe0m2BR3L5AXdawr2j0Y\n6B0+/xzwm458P9PpkbY9aOeimdntwFH7nUn6IsFQQzbwP2b2gIJtojCze4DLgCsIdk65DLjSgohR\nH5ZdEpa938yKo94r5vlmdbdkJPBE2LPOAf5gZk07hMdTt5mtlfQ0sIpgeOZeM1sT9Zk72+5LgWcs\n6KF3WbsJfrE8KMkIfml+prWyrXwP00baTvV2zrlUl1ZZHM45l048QDvnXJLyAO2cc0nKA7RzziUp\nD9DOtSHGrDivO0XrTjUeoJ1rW3cGDK+7Z+tOKR6gnXMuSaVtHnSY7M5JJ+eQnXVkrYOGRmNtcX3T\n6+bno1U09j3q9YH6vjGvizhc16tDbbW62L8ns2rbLtvYu/XzkTqy6yCrpjEo0+fo92voFX89kbrg\nSH2qqYtRAqxPr6PeryHq2xPr/Zp/3uxm1UbeL1qk7qq9O/ZYO6b35+fn2/jx4+O6tqysjHYvvlVa\nCqNGdU/dcfK6j1i2bFm7/n0ki7SeSXjhRX256+4hxxy/6fp9PPXXwy2ej1hcOe2o18/vmdrq+619\nZ2SH2llfkhfzeG5J24s6HSpo/RdspI7+JY0M2FwNwMEJ/Y66prIgK+56InUBTfXlbIy9LEL9CQVH\nvV9lwZFfDLHer/nnjbxPROT9okXqXvqHr8ZeGKsF48ePpyN7VsZNanN7NddzWlw4LcmlbYA+6eSc\nFoPvXXcP4f/e2Uheno/wOOeSV9pGqJaGLSI8ODvnkp1HKee6w+23t32Nc23wAO1cd7jjjkS3wKUB\nD9DOdQe/Qei6gAfoDFPfUJPoJmSGgozYMs91s7TN4nDHWv3Ww+wqX8PQd2Yxef4nEt0c51wbvAed\nIRrqathVvgaAvdtW0lDnPWnnkp0H6AyR3asPI4dNB2Do2Flk9+qT4BY559riQxwZZMaUKzmp4cNU\nTxqc6KY4l1Qk3Qx8lmBn99UEu4ufCNwD9Ae2AB+3YOdxJM0EfgkMJNj38XQzO9zV7fIedIppqO3c\n0EROtvece4TnQacMSQXAjUChmU0n2Jj2KuBe4FYzm0Gw+/vXwutzgN8B15nZycBZBBsLdzkP0Clk\n+5O/Yd1d32D7k79JdFNcWzwPOtXkAP3C4JsLlAJTgJfD838n2Nkd4H3AKjNbCWBm5WbW0B2N6tEA\nLekCSeslbZB0a4zzQyQ9IWmVpNckTY+3bLprqK3hwPoVABxYv6LTPenuVt/YLR2KTpG0QFKRpKKy\nsrLufTPPg042+ZGfffhoWnPazEqAO4FtwE6gwsyeAYqBS8LLrgDGhM+nACZpiaTlkr7eXY3usQAt\nKRv4OXAhMA24WtK0Zpd9E1hhZjOBa4G72lE2rWX37sPAE2cDMPDE2WT3Tt6hihUVf+fZPfex+q2H\nE92Uo5jZQjMrNLPC7loqs4nnQSebPZGfffhYGDkhaQhBIJ4AjALyJF0DfBr4gqRlwAAgsiBuDjAf\n+Hj49VJJ57b25pLGSTovfN5P0oB4Gt2TNwnnABvMbBOApIcIvilvRl0zDfgegJmtkzRe0khgYhxl\n096YD11LQ+2VSR2c6xvreKdmIwC7ytdwUsOHgX6tF3Iusc4DNptZGYCkx4F5ZvY7guEMJE0BPhhe\nvwN42cz2hOcWA6cCz8WqXNLnCHaJGQqcAIwmuPnYalCHnh3iKAC2R73eER6LthL4CICkOcA4gg8T\nT9mj/oTdu/fYxd3TQTIHZ4CcrF4c1+cEAEYOm+43JV0q2AbMlZQrSQSBc62kEQCSsoD/IgiqAEuA\nGeH1OcCZtN5ZvAE4AzgAYGZvAyPiaViypdl9D7hL0gqCVJc3gLgH38M/WxYCzJjZOz23ikkBswed\nT33jWTB5fKKb4lybzGyppMeA5UA9QdxZCFwn6YbwsseBB8Lr90n6MfA6QVreYjP7WytvUWNmtUHs\nb8oCiSs+9WSALuHIIDsEPeOjtuIIcww/BRD+JtsMbCL4G7nVsq2pqvLF+XtaTlYv6tu+zLmkYGa3\nA81zI+8KH7Gu/x1Bql08XpL0TYIskfOBLwB/iadgT0at14HJkiZI6k2QZ/hk9AWSBofnIEgafzkM\n2m2WbclN1+/jlKm7uOn6fV32QZxrk+dBuyNuBcoIRgU+DywmGDJpU48FaDOrB75IMH6zFnjEzIol\nXSfpuvCyk4A1ktYTZGzc1FrZtt6zqqqRp/4aTO556q+HqapKz3Fpl4Q8D9od0Q+438yuMLPLgfuJ\n8855j45Bm9ligt8e0cfuiXr+b4Icw7jKtiUvL4sLL+rbtEGsD3O4HhPnrt4uIzxHkClSGb7uBzwD\nzGurYLLdJOxyvkGsS4iCAjC/T+0A6GtmkeCMmVVKyo2nYEZELQ/OzrkEqpJ0auSFpNOA6ngKpn0P\n2jnnEuzLwKOSSgEBxwFXxlPQA7RzznUjM3td0lSC5UsB1ptZXIvVeIB2zrnudzowniDmnioJM2tz\nWUoP0M51B8+DdiFJvyVYg2MFR2ZGG+AB2rmE8Dxod0QhMM2s/Wk9nt7gXHfw9aDdEWsIbgy2m/eg\nnesOngftjsgH3pT0GtC004aZfaitgh6gnXOue93R0YIeoDNEQ11yb5HlXLoys5ckjQMmm9mz4SzC\n7HjKeoDOANuf/A0H1q9g5LDpzJgSV368c66LxNhRpYAk3FHFJUD0ZrO7ytdQ3+A9aed6WId3VPEA\nneaiN5v1Lah6kOdBuyNqzCyy4WzS7qjiEmTMh66l35YrGLzD18PuMZ4H7Y5IiR1VXAJl9/Kec4/y\nPOiUIulmScWS1khaJKmvpNmSXpW0ItyMek54bS9JD0paLWmtpG+0UX2Hd1Tp0R60pAsI9vjKBu41\ns+81O/814ONRbTsJGG5meyVtAQ4STJWsN7PCHmu4c+3ledApQ1IBcCPBbL9qSY8QbKv3MeBbZvaU\npA8APwDOAq4A+pjZjDAj401Ji8xsS6z6zawR+FX4aJceC9CSsoGfA+cDO4DXJT1pZk3blZvZD4Ef\nhtdfDNxsZnujqjnbzPb0VJudcxkjh2AIog7IBUoJxokHhucHhccIj+eFY8n9gFrCG4DRJK2mlbFm\nM5sZT6N6yhxgg5ltApD0EHAJ8GYL118NLOqhtrkMIGkBQboTY8eOTXBrXA/Ll1QU9XqhmS0EMLMS\nSXcC2wgW0n/GzJ6RtB1YEp7L4sgWVY8RxK6dBMG8eUcy4qLw6w3h19+GX68hzpuEPTkGXQBsj3q9\nIzx2jPDPhguAP0YdNuBZScvC/2ixyi0Ix4qK9u5NvxtiDbWeItcZZrbQzArNrHD48OGJbo7rWXsi\nP/vwsTByQtIQgoA7ARhF0Du+BrieIPiOAW4G7guLzCEYah0VlvlPSRObv6GZbTWzrcD5ZvZ1M1sd\nPm4B3hdPo5P1JuHFwCvNfivNN7PZBLt93yDpvc0LRf8HHDo0WT9ax2x/8jesu+sbbH+yzRUKnXPt\ncx6w2czKwoX0HyfoLf9H+BzgUYLADMHY9NNmVmdmu4FXCFasa4kknRH1Yh5xxt6ejGIlwJio16PD\nY7FcRbPhDTMrCb/uBp7gyDcr7UVPNjmwfoX3pFOB50Gnkm3AXEm5kkQww28twZjzmeE15wBvR11/\nDoCkPGAusK6V+j8D/ELSFklbgV8An46nYT05Bv06MFnSBILAHLlLehRJgwi+KddEHcsDsszsYPj8\nfcB/90irk0BkssmB9SsYeOJssnt7ylzS8zzolGFmSyU9BiwH6oE3gIXh17vCm4GHCe9fECQ7PCCp\nmGCPwQfMbFUr9S8DZoWxDTOriLdtPRagzaxe0heBJQRpdvebWbGk68Lz94SXXkowSF8VVXwk8ETw\ny40c4A9m9nRPtT0ZjPnQtTTUXunBOVWUlsKoUYluhYuTmd0ONP+z55/AaTGurSRItYuLpD7AZYRb\nXoVxDDNrs5PZo3nQZraYIEk7+tg9zV7/Gvh1s2ObgFnd3Lyk58E5hXgetDviz0AFsIyo9aDj4VO9\nnXOue402sws6UjC9Uh2ccy75/EvSjI4U9B60c851r/nAJyVtJhjiEGDJNpPQOecy0YUdLehDHM51\nB8+DdqFwNuEY4Jzw+SGScKKKc5nD86BdSNLtwC1AZFnSXsDv4inrAdr5zMTu4OtBuyMuBT4EVAGY\nWSkwIJ6CPgad4d7+52/Zu20lebNnMeKT1ya6OenD86DdEbVmZpIMmmZGx8V70Bmsoa6GvdtWAlC1\nYiWNNV3fk/ZNap3jEUm/BAaHO3w/S5yL93sPOoNl9+rD0LGzmnrQWX26dqbi6rceZlf5Goa+M4vJ\n8z/RpXU7lyrM7M5wL8IDwBTgNjP7ezxlOx2gJd1iZt/vbD0uMSbP/wQVw6+iZkLvLq23vrGOXeVr\nANi7bSUNdR8l2HzCuYy0muA/gIXP49LuIQ5Jj0Q9HgU+2946XHLpjjU+crJ6MXLYdACGjp3lm9a6\njCXps8BrwEeAy4FXJXXbcqMHzKwpKEu6uwN1uAwwY8qVnNTwYaonDU50U+JiLdzU68i9Pt12G42N\n7SvY0vu3Wa5DpSLv2Z736fg79dT9Ugn65GT3zJvF72vAKWZWDiBpGPAv4P62CnYkQP9Ps9f/pwN1\nuAyRk506PeeJ31zchYFkDnxzcduXuS515pThPPjppNvLoxw4GPX6YHisTW0GaEkPAp8zs1oAM9sc\nfb6FzRKdSzk3nTu5xXNC7aorb88uqvJHovYVa+e7RJXraEFAnSncrvfpYLl2fFfGDE3K+xwbgKWS\n/kzwB88lwCpJXwEwsx+3VDCeHvR24N+SLjOzLZGDkmYCXzazuMZSnEt2Xz5vStdVpimeB+0iNoaP\niD+HX9ucrNJmgDaz/5L0KsGO2jcRTFP8clj5Xe1ppaQLwjLZwL1m9r0Y15wF/CR8nz1mdma8ZZ1z\nLtmY2bcAJOWa2aH2lI03i+Nl4GngL8A9BHl8p5lZ3FtMS8om2MvrQmAacLWkac2uGUywoeKHzOxk\nwm1l4inrnHMdJelmScWS1khaJKmvpNmSXpW0QlKRpDlR139D0gZJ6yW9v4263y3pTcKNZSXNkvSL\neNrVZoAOK1oNVAInAc8DN0rKjecNoswBNpjZpnA8+yGCsZhoHwMeN7Nt0LSDd7xlnXOu3SQVADcC\nhWY2neCv9KuAHwDfMrPZwG3ha8LO4VXAycAFBDt2t5Y68hPg/YQ3Bs1sJfDeeNoWTw96JTDVzG41\ns/Vm9jHg3wS5fO0ZtCsgGM+O2BEeizYFGCLpRUnLJF3bjrJIWhD+pivau7exHU1zzmW4HKBfuIN3\nLlBKcENvYHh+UHgMgs7hQ2ZWEyZNbCDoRLbIzLY3O9QQb6NaZWa/jHHsR5LeINgAdlI8bxSnHIJd\ndM8lmHXz73D8Oy5mtpBgu3RmzOxtVVWN5OX5ciMuIGkBsABg7Nix3ftmvh50ssmXVBT1emEYLzCz\nEkl3AtuAauAZM3tG0nZgSXguC5gXli0AouNSzA5jlO2S5gEmqRdwE7A2nkZ3OHqZ2fPA2e0oUkKw\naHXE6PBYtB3AEjOrMrM9BGPfs+Ise5Rt2+o5Zeoubrp+Xzua6NKZmS00s0IzKxw+fHj3vpmvB51s\n9kR+9uFjYeSEpCEEveIJwCggT9I1wPXAzWY2BrgZuK+D730dcANBEC8BZoev29Sp7mWMbntrXgcm\nS5ogqTfBGM6Tza75MzBfUk44xv0ugt808ZQ9yoGKIMXpqb8epqrKhztcD/P1oFPJecBmMyszszrg\ncYLe8n+EzwEe5cgwRrs6jGa2x8w+bmYjzWyEmV0TmVXYlh5bzc7M6iV9EVhCMAh/v5kVS7ouPH+P\nma2V9DSwCmgkSKdbAxCrbGvvN3CQOFBhXHhRXx/mcD3P14NOJduAuWGnsJpgiLWIYMz5TOBF4Bzg\n7fD6J4E/SPoxQY97MsFaG0eR9FNamYlvZje21bAeXW7UzBYTjFtHH7un2esfAj+Mp2xrxo7N4beP\nDvXg7JxrlZktlfQYsByoB94guJf1BnBXeOPwMOH9i7Bj+QjwZnj9DWYW66ZfZMz7DIL04IfD11eE\nZduU1utBe3B2zsXDzG4Hmt/Z/SdB0kKs6/+HY9clan7NgwCSrgfmm1l9+Poe4B/xtMsjmEs5vkuL\nSzFDOJKuB9A/PNamtO5Bu/QT2aVl5LDpzJhyZaKb41w8vge8IekFgvWw3gvcEU9B70G7lFHfUNO0\nS8uu8jXJ3ZP2PGgXMrMHCDLSniDICnl3ZPijLd6DdikjJ7sPI4dNb+pBJ/Va054H7aKY2TscWcUu\nbh6gXUqJ7NKS1MEZgjzoUaMS3QqX4nyIw6WcpA/OEORBO9dJ3oN2zrluIGloa+fj2Y3KA7RzznWP\nZQQzCWPt2WXAxLYq8ADtnHPdwMwmdLYOD9DOOdfNwhXzJgN9I8fM7OW2ynmAdq47eB60C0n6LMEa\n0KOBFcBcgk1PzmmrrGdxONcdPA/aHXETcDqw1czOBk4B9sdT0AO0c93B14N2Rxw2s8MAkvqY2Trg\nxHgK+hCHc93B14N2R+yQNBj4E/B3SfuArfEU9ADtnHPdyMwuDZ/eES6YNAh4Op6yPTrEIekCSesl\nbZB0ayvXnS6pXtLlUce2SFotaUWzzR+dcy7pSBoYfh0aeQCrCdaZ7h9PHT3Wg5aUDfwcOJ9gc9jX\nJT1pZm/GuO77wDMxqjk73EzWOeeS3R+Aizh6wkr016SaqDIH2GBmmwAkPUSwk27zrV++BPyR4K6n\nc86lJDO7KPza4QkrPTnEUQBE7wK+IzzWRFIBcClwd4zyBjwraZmkBd3WSue6gudBpxRJN0sqlrRG\n0iJJfSU9HA6prgiHWFeE154fxqHV4ddW85klPRfPsViS7SbhT4BbzKxROmb6+nwzK5E0guBO6Lrm\nM3HCwL0AYFRBdo802LmYPA86ZYQdwxuBaWZWHW4Ie5WZXRl1zY+AivDlHuBiMyuVNB1YQrPOZlim\nL5AL5IczCSNBbWCs62PpyQBdAoyJej06PBatEHgoDM75wAck1ZvZn8ysBMDMdkt6gmDI5KgAbWYL\nCXbjZcbM3p7j5BLH14NONTlAP0l1BEG1KZFdQUD6KOHMPzN7I6pccViuj5k13+Ln88CXgVEE49CR\nAH0A+Fk8jerJIY7XgcmSJkjqDVwFPBl9gZlNMLPxZjYeeAz4gpn9SVKepAEAkvKA9wFrerDtLg1I\nWiCpSFJRWVlZ976ZrwedbPIjP/vw0TRMGnb+7gS2ATuBCjOLTlJ4D7DLzN6OUe9lwPIYwRkzuwuY\nBHzHzCaG8W2Cmc0ys+QK0OGW418k+HNgLfCImRVLuk7SdW0UHwn8U9JK4DXgb2YWVx6hcxFmttDM\nCs2scPjw4YlujutZeyI/+/CxMHIiHH64BJhA0NvNk3RNVNmrgUXNK5R0MkHG2edbelMzawA+0tFG\n9+gYtJktBhY3O3ZPC9d+Mur5JmBWtzbOOZepzgM2m1kZgKTHgXnA7yTlEATY06ILSBpNsAnstWa2\nsY36n5N0GfC4Wfuml/paHM65TLcNmCspNxxvPpfgr3wIgvc6M9sRuTictv034FYzeyWO+j8PPArU\nSDog6aCkA/E0zAO0cy6jmdlSgnteywlm+mURJhsQ3CtrPrzxRYKx5dui0vBGtFL/ADPLMrPeZjYw\nfD0wnrYlW5qdc+nB86BTipndDhzzQ4seao069h3gO+2p3xfsdy6ZeB60C/mC/THkbK5nyE8rodHT\noV0C+HrQ7ghfsL+57Eoj/wcHGfLzqkQ3xWUiz4N2R/iC/S3p9VoNca7s55xz3cEX7G9J3Zw+iW6C\ncy6DdWbB/rQN0A39xZ4v9GffDXmJbopzLgOFiyVdR5CStxq4z8xeak8daTsGXT8hh31f6g9Zx6yK\n55xzPeFBggXgVgMXAj9qbwVp24N2LqE8D9oFy5fOAJB0H8E6Qu2Stj1o5xLK86Ad1EWehIvFtZv3\noJ3rDr4etINZUWtuiGDd6APhc4tnundGB+iqqkby8vyPCNcNCgqgfQuXuTRjZp3e1iljo9NN1+/j\nlKm7uOn6fYluinPOxZSRAbqqqpGn/noYgKf+epiqqsYEt8g5546VkQE6Ly+LCy8KFpW68KK+Pszh\nnEtKPRqZJF0gab2kDZJujXH+EkmrwvVViyTNj7dse9119xDeWDeSu+4e0tmqnHOuW/RYgJaUDfyc\nIGF7GnC1pGnNLnsOmGVms4FPA/e2o2y7ec/ZdRvPg3ZdoCcj1Bxgg5ltMrNa4CGCjRqbmFll1J5d\neYDFW9a5pOJ50K4L9GSALgC2R73eER47iqRLJa0j2PPr0+0suyCyrfrevX7jzyWQrwftukDS/Y1v\nZk+Y2VTgw8C321l2YWRb9aFDk+6juUzi60GnFEk3SyqWtEbSonChIyR9SdK68NwPmpUZK6lS0le7\nq109OVGlBBgT9Xp0eCwmM3tZ0kRJ+e0t65xz8ZJUANxIsHZGtaRHgKskbSUYSp1lZjUxNob9MfBU\nd7atJ7uZrwOTJU2Q1Jtgt9wnoy+QNCnc9hxJpwJ9gPJ4yjrnXCfkEEzFzgFygVLgeuB7ZlYDYGa7\nIxdL+jCwGSjuzkb1WIAOFwv5IrAEWAs8YmbFkq6TdF142WXAGkkrCLI2rrRAzLKtvV9DC3sRVlU1\ntjkxxSeupKfoexRlZWWJbo7rWfmRn334WBA5YWYlwJ3ANmAnUGFmzwBTgPdIWirpJUmnA0jqD9wC\nfIMXx3sAAAdqSURBVKu7G92ja3GY2WJgcbNj90Q9/z7w/XjLtmZtcT03Xb/vqDznm67f1zSD8MKL\n+sbMgY5cc+FFfXn/D+N9N5cKzGwhsBCgsLDQF8rILHvMrDDWCUlDCIYyJhBs5vqopGsI4uNQgl24\nTwcekTQRuAP4XzOrDP/g7zayNF3QRVLkg70BNBL8tXBKs8si5yKaX9P8fCz5wJ6OtzQu/h5tG2dm\nw+O9WFIZce4L59JCi/8+JF0BXGBmnwlfX0sQlCcC3zezF8LjG8Pjj3Pknthgghhxm5n9rKsbnbar\n2ZlZj2ylIqmopd/M/h49/x7xak8wd2lvGzBXUi5QDZwLFAGrgLOBFyRNAXoT9MTfEyko6Q6gsjuC\nM6RxgHbOuXiY2VJJjwHLgXqCv5wXEkyUu1/SGqAW/v/27jVWrqoM4/j/aYE2KSoE0jQooDEqhloa\nP6AFFDQSBK0QEBNIiUFBIWgtp1LvaLQkWg2GBmtUPhDKLQTCpTE1oQSMCoHIJWBsSiwxghcgBEKB\nUtPy+GGtMePRg52ZPefsmfP8Pp0ze2e9e81J3rNmrTXr5dOe5imHsZ3imC7jMvIclxgR4yTf5hjc\nzxOjVTEixkZG0BERLZURdERESyVBR0S0VBJ0AzTs3erTQNKCmX6GiPhPmYMegKTDgads7xlijKOB\nfYHdtu8fUoyPACcAl9neOaQYQ+9HxLjJCLpPkj4KrAcWDTHGSZRDoT4G3CDpC/UcgCZjnEz5ev2d\nQ0zOQ+9HxDhKgu6DpI8Da4F19aCV7mtzG2hfkuYBZwErbX8dOJ1yXsAF9RtPA5P0LuBW4HLbv5a0\nUNJbJS1uqP1p6UfEuEqC7pGkA4BvAo/b/p2kgyWdI2lC0gG29wyapOsJfrsoJ/ctkbS/7UeAVcAp\nwLkDd6TYAVwJvE/SscANlL7dJenCQRufxn5EjKUk6N69BHwVeEXS5ZQR6GJgGbBF0sENzkk/ChwE\nvF3SPvWI1UuACUlHDdq47b8BV1D6dA9wu+3zKFMRayW9f5D2uxZPh9qPiHGVBN2jejb1vcA1wPHA\nJttfsX0m8BiwpsFYmynJcyWwuI5AHwR+BQy0c6Qzyrf9JLABWG57vSTZ/j1lNN3XP5rOjpDOuQXD\n7EfEOMsujr0kaW73yLhWXjjc9nZJc2y/JukSynu6buqWpmz/SMpxnFu7KzfUaz8A3gDsohTPXQ0c\na/vPPcY4Dnib7Y2T+1RHtrvrz2dTDiRfbvsvPcY4FTgR+K7tZzrvTZP9iJgtkqD/D0nvtP14/Xly\nklZnlFgP+F4FnGN7a48xOjspnqBsRfuc7b9OSpofApZQqjz8xPYfe2h/DqWMz/2UEev6TqGESTH2\noyzgfZtSzaancj6Sjgd+BnzR9p1T3NN3PyJmmyTo11F3a9wE3Gb77Pra5CQ9F/gA8A1gwvZjPcY4\ngXKI0ArbD0i6lZK4tnSPPrvu/3dC7aM/ayjTFkcBD9v+8f+4Zxnw935GtZImgDm2fyTpEOBI4EVg\nm+0XJt3bdz8iZosk6CnUedRbKNUTjgH2sb2iXusedS6gJL39bfdcLUTSu4FFtu+WtIhyJu0DwNPA\nfbavrrXQFtr+ZfeovY9YE8BhwCbgPEr9tV22v1anP+bb3tJP27X9lcB+NUHfS6lYspsyaj+XkrDf\nPGg/ImaLLBJOwfbLwGeA64EvA/MlXVuvdZLz0nrPa/0k59rW1k5JHeCzwAbbpwH3AadIOpRSK+2h\nev8gSe124B+276JUjLgQeFO9tojBKxTfDZwv6UbgF7bPokyXvAycRJnWaKIfEbNCRtB7SdJBlKmI\nnbZXSFoCvAP4zeRFvQZjbqZMm/Q0p/067R0CXEbZhbIG2AgcTamSfk1DMZZTvmG50fal9bWrgM22\nb2kiRsRskZJXe8n2c5I+D/xQ0jbKp48PNpWcJ3/kl3QGsBB4von2oex7lvQk8C3gItub6qLdn5qK\nAWymjJq/I6lTlHUp8P0GY0TMChlB90jSxZQtaCf2uiC4l+3PA1YAE5SdFH9ouP1DKfPZD9bf/2sh\nsqE47wU+CcwDrh7GexUx7pKgeyDpQMqujtW2Hx1SjH0p+4i32942jBg1ThbpIlouCbpHkubbfnWm\nnyMixl8SdERES2WbXURESyVBR0S0VBJ0RERLJUFHRLRUEnREREslQUdEtFQS9AiTdIGkn3b9vlbS\nxpl8pohoTvZBj7BaFXsb8B7gOOB7wDG2d87og0VEI5KgR5ykdcAC4GTK+SDbZ/iRIqIhSdAjTtIR\nwFbgVNt3zPTzRERzctzo6LsUeJauv2Wt8rIB+Cdwj+3rZujZImIAWSQcYZJWA/OBTwFf6rp0OnCz\n7fOBT8zEs0XE4DKCHlGSPkyp87fM9g5Jb5S01PYjwFuAzvnLe6ZsJCJaLSPoESTpMOAq4EzbO+rL\nVwCr6s9PUZI05G8cMbKySDiG6hz0lcCrwG8zBx0xmpKgIyJaKh9/IyJaKgk6IqKlkqAjIloqCToi\noqWSoCMiWioJOiKipZKgIyJaKgk6IqKl/gVOMidGC3aIlQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115201b38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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TOB0o9M+dASwys1Vh498AnpP0JzyPuwcZtgklHsxsA94WdUeGEzyBdnnQgcPM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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115e28160>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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w/8LM5kl6BJgfjr8kLMyfVUj6GUHxpu8CNwJPAJjZUuBcF+jMJ28F+o2P1nHB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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1136d00b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from skopt.plots import plot_objective\n",
"\n",
"_ = plot_objective(nmf_results[0])\n",
"_ = plot_objective(nmf_results[1])\n",
"_ = plot_objective(nmf_results[2])\n",
"_ = plot_objective(nmf_results[3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Objective Function: Mutual Information"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Let's remind ourselves of what the objective function was\n",
"def objective(space):\n",
" # New setting for each hyperparameter\n",
" alpha, l1 = space\n",
"\n",
" model.set_params(alpha=alpha, l1_ratio=l1)\n",
" W=model.fit_transform(rcv1.data)\n",
"\n",
" nmf_labels_pred=np.array(W.argmax(1)).flatten()\n",
" rcv1_labels_true=np.array(rcv1.target.argmax(1)).flatten()\n",
" rel_err = model.reconstruction_err_\n",
" nmf_nmi = metrics.normalized_mutual_info_score(rcv1_labels_true, nmf_labels_pred)\n",
" # nmf_ch = metrics.calinski_harabaz_score(rcv1.data, nmf_labels_pred)\n",
" print('rel err:' + str(rel_err) + ' nmf_nmi:' + str(nmf_nmi))\n",
" return nmf_nmi"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of Gaussian processes over non-negative matrix factorizations: 4\n",
"\n"
]
}
],
"source": [
"from skopt import load\n",
"nmf_mi_path = '/Users/ygx/hitchhikers_journal/nmf_map/results_mi/'\n",
"\n",
"nmf_mi_results = []\n",
"for file in os.listdir(nmf_mi_path):\n",
" full_path = os.path.join(nmf_mi_path, file)\n",
" #print(file)\n",
" nmf_mi_results.append(load(str(full_path)))\n",
"\n",
"print(\"Number of Gaussian processes over non-negative matrix factorizations: {}\\n\".format(len(nmf_mi_results)))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"res_mi0 = nmf_mi_results[0]\n",
"res_mi1 = nmf_mi_results[1]\n",
"res_mi2 = nmf_mi_results[2]\n",
"res_mi3 = nmf_mi_results[3]"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1155db898>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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aTAlJIZNGjNTNs/9F33nuT/phyfP6zLBhmjJilNNlAQAAAMCAVVhYqNLSUu3f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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11580df98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from skopt.plots import plot_convergence\n",
"fig=plt.figure(figsize=(18, 16))\n",
"\n",
"plot_convergence((\"gp_zero\", res_mi0),\n",
" (\"gp_one\", res_mi1),\n",
" (\"gp_two\", res_mi2),\n",
" (\"gp_three\", res_mi3))"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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rtjBr1Rbmrd3GvgNOuteu7VowtFtbBnUpZFDXQgZ0ak1e8yN94GGE9Z0B/BEn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\nHfzkxUV0btuCE3sXeW1S6hBFPuww8+2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JiHOA0ZI2RcRo4FNgG/ALsFXSmoi4ABgl6b3q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\nZlYSDmwzs5L4B4hstMjUVCXxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113d45cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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3EzuSWttd2pfRu3M7ulWW07l9GZ3blVFe0oa2pW2obFvKJccM+cgxc3EtEefS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\nAnfWe24JwV+k2MQy27HeUqv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g7i3pPolUNb0RK4AVZvZK+PgBgoT9IWZ2YvizVRNosplt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\nwsCWpCYMbElqwsCWpCZ+AWJPULqz1wG4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113d45d68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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CfpEyhGN678fdZ/XnkyXruPaZ6VTtjvMDxLhxvtqVIUwDeohIVxFpAIwBJkWfICKdgH8D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\nRUUww0g+Ff2hhyZNrJhcPewzcikpnHtu0zmzPk9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"text/plain": [
"<matplotlib.figure.Figure at 0x1152ede10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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/bTPix1bY2YIPK+yq2LFDmfD9j7w/4wf+N2sZ37ux3J1bNGBQl+bss0sxe3Rs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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115fc9be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from skopt.plots import plot_objective\n",
"\n",
"_ = plot_objective(nmf_mi_results[0])\n",
"_ = plot_objective(nmf_mi_results[1])\n",
"_ = plot_objective(nmf_mi_results[2])\n",
"_ = plot_objective(nmf_mi_results[3])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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