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Created February 18, 2019 05:40
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "lasso_tips.ipynb",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"metadata": {
"id": "C_cItATVzc2V",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "_dAfdsR40tuA",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# 劣勾配の定義\n",
"- https://en.wikipedia.org/wiki/Subderivative"
]
},
{
"metadata": {
"id": "HMR8dW0t1Arg",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"凸関数 $f: I \\rightarrow \\mathbb{R} $ の点 $x_0$ における劣微分は次の条件を満たす $c \\in \\mathbb{R}$ で定義する。\n",
"\n",
"(簡単のため$\\mathbb{R}^1$についてはなし、微分の代わりに勾配という言葉を使っている)\n",
"\n",
"$$ \\frac{\\partial f }{\\partial x}\\bigg |_{x=x_0} = \\{ c \\in \\mathbb{R} : f(x) \\geq f(x_0) + c(x - x_0) , \\forall x \\in I \\} $$"
]
},
{
"metadata": {
"id": "qaXcRuAx3w1H",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"これはまさにテイラー展開の一次近似だ。書き換えると\n",
"\n",
"$x_0$における劣勾配は次の閉区間の集合である。$a \\leq b$\n",
"$$ a = \\lim_{x \\rightarrow -x_0} \\frac{f((x) - f(x_0)}{x - x_0} $$\n",
"$$ b = \\lim_{x \\rightarrow +x_0} \\frac{f((x) - f(x_0)}{x - x_0} $$\n",
"\n",
"$$ \\frac{\\partial f }{\\partial x}\\bigg |_{x=x_0} = [a,b] $$\n",
"\n",
"これが勾配の拡張になっていることは微分可能な点においてその劣勾配が一点集合になることからわかる"
]
},
{
"metadata": {
"id": "F9FDvjwJ5c8X",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### $f(x)=|x|$の勾配\n",
"これは$x=0$で微分不可能であるがconvexよりその劣勾配が定義される"
]
},
{
"metadata": {
"id": "SxF_xwVizIrA",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 420
},
"outputId": "82d53acd-9465-4a7e-97d9-7fa8d32c17b4"
},
"cell_type": "code",
"source": [
"x = np.linspace(-1, 1, 100)\n",
"y = np.abs(x)\n",
"lines = [x[i] * x for i in range(len(x))]\n",
"\n",
"\n",
"fig = plt.figure(figsize = (8, 6))\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"\n",
"ax.plot(x, y, color = 'k')\n",
"[ax.plot(x, lines[i], color = 'darkgreen', alpha = .2) for i in range(len(x))]\n",
"ax.set_ylim(-.01, 1)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('$f$')\n",
"plt.title('Green is subgradient')"
],
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Green is subgradient')"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
},
{
"output_type": "display_data",
"data": {
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AXHQOq8XGUiVLp9dh3D+O1+Gj1CxSbpaIeKND0+vveceFnHryk/nKv36Jr/77P2734Usk\nEonkMeC2P7uJIwsP89rf/G1e8oKXsVxZEtPnHoeHXHWZdq9FzGe0Ygc74m67h+nQ9MiOc8cHcYfd\nQTxsZNvp0gIWi8UYTjAlWDVdE2X2xfIiFquFQwffj8VqYe+1F1Fv1Lf7FCQSiURyHHnoyIP82V++\nn3Aowg1X3kK9U2e1voLL7mbCP0mj0xiSWt24Iz7q4bYdH8QBot4YAXdQlNXdDjeTwWl6epfFchan\n3clUcEaU2Z/9rOfy5tf9AdmlDNcfPrDdhy+RSCSS40S/3+fCfefSbre56sKriUZiomyeCBsOZZmS\nIbWaDCexWW2ijD4ZmMLrHN2OOMggLoYPkuFZUVZv99pM+CfwOLwUGmtUWxXGfGOizF5plTlw6XVM\njk/ysU99hB/9+IfbfBYSiUQiOR588s6/5D/v/i7POeNXeesb/pB8NTdUNs/X8jS7DaPV6g6uS606\nvEwEJgFGNtQGOzyI19pV7knfQ6GxhsPmIBFODEuwms5m6VIava8bPrFmmd3n83HN3hvRNI0L9p2L\nruvbfToSiUQi+T+wspbnmkNX43K5uO3A+2n32uSqy9itDqaDM7S6LXKVJexWh5BaTRVTQ2X0bCnD\nj9I/kgYoo2BggJItZWj32kS8UYLu9Wl1r9P4ZtXVOixVFvE4POL2cmWJ157527zkBb/Bj++/lzs+\n/oHtPh2JRCKR/B+44rpLKZWLvPtt53LqyYoomyfCCawWw6FscNtmtZEtZ+jpXSYDU3gcHqqtCqv1\nFdwOtzRAGQWbDVDA6HlsLKtPBqZw2d3C2Wxwe7W+Qr1T55b9h/F6fdx6x41kFtPbfEYSiUQi+UX4\n+rf+jc//02c5edcpXHT2XlZrq9Q7NUKeMCFPWDiWDW4PhMEGZfSNWfmu2C5pgDIqYv6YyL7z1fxQ\nWT1dTIlpdTB2Avv9Ponw+o5gYibJhe+6hHq9xiUH5O64RCKRPN5otVpcfOB8sMCtV78XrLBUyWK1\n2IiHErR7beFYlggljWn04vA0eqaUFlm5NEAZMcnwLDarneXKIq1uS5TV650aK7UVfE4f4/4JOlqb\n5eoSfpefmG/MVHzLcc7bz+M05XT+9Rtf5Yv//LntPh2JRCKR/BzcdPu1pDILvPG33sTznvNCMmVj\nDioejuOwObY4lm0uo5eaRaHkNhhuGxUyiAN2m51kOEmfPqnigsi2B4G93WszFZjGaXOxUstT79SZ\nDs5gtzrIVZfpaB0OHbwdm83GFTfspVqrbvcpSSQSieR/wX3qj/nwJ+8gFh3jmr03UGoWqbYq+F1+\not4YqzWjlRp0h4h4o1vK6F2tS6aUwWqxSgOUUdPTemSLhk56yBMm4o3S7A6W+B1CcjVdTGG1Wkma\nUnuZYtp0sDGcztLFFM982hm87Y1nkcsvc+CWK7f5zCQSiUTyaPT7ffbsew/dTpf9F11LIBAUATkR\nnqXTM4aarRYbiXCSntbbUkZPl1LCEMXtcNPsNlkqLUkDlFHQ7DZYriwLA5R4KIHD5iRXXabRaWwp\nq/tdAWK+MVq9JrnqshhwaHTrrNZWueqig0xPzvDJz36C//rh97f35CQSiUTyiHzsbz7M3ff+gOc/\n94X87mvfxGIli6b3mAhM4bK7zLK6JsrqoowenMbj8AgdEb/Lz7h/HE3XOLp2hMXyojRAGQUBd5CQ\nJ0S1XWWltoLNahsqq+u6vqWsPh2cwWFzkq/maHQaxEMJMc3ucDq4/opb0DWdPfvPpdcbzZ6gRCKR\nSH4+cis5brj9GtxuN7dd/T5q7ep6mdw/IQJ0wBUg6o1RbpYoNYvi8U6vQ7ZkDL8lw3MAZMsZulqH\n6dC0NEAZFXPRuaGhtoA7KIbWlqtLW6bVNwb6TCmN3WoX2uuZcpr/9xuv5hW/fiYPPHQ/t3/08Haf\nnkQikUiOwd6DF1KpVDjvHXuYS+5edygLJ+npPTNAG2X1ntYTj89G5swy+oLI0p12J6VmUXwJkAYo\nI8Rhd5AMG7vig6G2mWBcDLHV2jXCngghT1iU1QPu4Hr/vJYn6o0JF5tSs8jN+w/j9/s5/OFbmU8d\n2e5TlEgkEskGvvrv/8hX/vVLKKc8hfPeuYfl6hIdrc24fwKv00umZJTRp4NGgN5YRnc73KzUVqi1\nawTcQaLe2NBw2yDIj4odH8SBoaG25cqSOcS2vhuu6zqJ0HBZPR5KGNPplSVa3ZZwOsuUMoyPjXPp\nOVfSaja5aP/523x2EolEIhlQb9TZe+1FWKwWbjvwPjp6h5VaHqfNxWRgSvhj+Jx+xvxjoozudfiY\n8E/Q6rbEzngyPIgTC2h6j+lgHLfDPdLz2fFBfDBBGA8lcNpc5Gs5au0afpefCf8kHa3NYiWL3WYf\nKqtvnk532pxMBqbR9B6LlSzv/IN384zTn8k3vncXd37h09t8lhKJRCIBuP7wAbJLGd7y+rfxK898\nDpmSobSZjAzUO9fXxTaW0YcSu75OIpzAYXOwUluh2q4ScAcZ848BjGwyHXZ4EK+1a/ww9UOKjYLR\n6zb/kVLFBTRdYyo4jdvuYa2+SrVV2VJWD3nChD0RGt06K7UVxv3jeBxeio0CtXaVQwc/gN1uZ/8t\nV1AqF7f5bCUSiWRn86Mf/5CPfeojTI5PcvUl1wpHMqMlGiBbzqDpPSYD07jsri1l9Hw1R6NbJ+yJ\nEPZEjpmVL5UXuSd9jzRAGQVOm1OUwNu9tsi+u1qHbDkjJFctWEgVU2i6JsrquapRRo+HEuJ2R+sI\n57NMKcNTldN4+5vfyeraCvtuuny7T1cikUh2LLquc8G+c9E0jWv23ojL4xKOZDOhOJVWWZTNx/3j\nW8rojU5DOJolwkn6fXOLqa+TDCdx2BxUWmXytRxOm1MaoIwCp91pGqBopArGUNtUcFpk0+VmCa/T\ny2Rgip7eNabRN5XVbVabEIXJlFJ4nd4hidbLzt9HcibJpz//N3zn+9/c7lOWSCSSHckdH/8AP77/\nXl76gpfz2jN/m0zJcCSLh+MAQsQlETG10UvpLWX0Pn1mI7PYrDaWK0vCVzzkCdPVusIA5aTxk6QB\nyqiI+WOiJJ6rLmOxGCsEVouVdClNV+syEZjE6/AJfdxBWX1QRt9sYToZmBLT7X1bn5v2HYI+7Ln6\nfDqdznafskQikewoMotpbr3jRrxeHzfvP8RafU1IqYY9ERbL2SEt9Ew5PaTCtlxZotVrEvONEXAH\nDcOsWg6nzUU8lAAYUm7zOD0jO7cdH8TBsB8dKLXV2jXcDjdTwRk0vUe6tO5kNii9d7XulrL6uoXp\nIj29NyTR+tIXvpxXv+K1PHz0IQ7dccs2n61EIpHsLC49eCH1eo0977qUqalpFstZIaVabVUoNNZw\n2z1MBCYpNYtGFdYsq28M2DPBuOlgZlhXJ82sfKW2IoRhJgITIz03GcQBm9XGbMRQ3BkMtY37xwm4\nAobJe211S2AfmKYMyup2q52ZUBy9r5Epp/GbKj+tXpN8Lc8NV95CKBjigx9/Lw8f/ek2n7FEIpHs\nDL701X/gX/7jq5ymnM7Zb3/Phh3wGWwW21DZXNO1oen0fr8/FLCtVivZcoaO1mbCP4nf5Te00stZ\nY7jNjCOjZEcHcU3XWC4v09N6+F1+JgNTdLXOhpUDQ81tqZKl1W0x7h8Xoi6FxtqW6fSYLyYCf6Gx\nxkwoLnbJg6EQV5x/Ne12mwv3nTvSFQSJRCLZiVRrVS6//lJsNhuHDt5OtV0Z2gFfqizS1TrrIi9m\nGX0yYEyjL1ayQgTG7/JTbpaEKttUcBpd1415KrNX7rA5aHVb5Cq5kZ3jjg7ijU6dbClLqrQAwGRg\nCp/TT6lZpNBYG5JcHai5JcNzWC02sqUsnV5HiL4MZFsHoi/ZUlb40Q4kWt/2e2fxK898Dt/9wbf5\n28/+9TafvUQikTyxOXDLleTyy7ztjWfxtNOfMSStWmvXWK2v4LK7hchLuVnC5zTMTKqtCmv1Vdx2\nD1OBabpal3QpPaTKtlRZFL3yoDskDFAyxYxcMRsFAXeQoDtItVUhX81v6H3byJprZ2FPRKi55arL\nOO1OUytdI11aENPqA9EXh83BdNAsq5fShD0R4YRWaBQ4dPB2nE4nB2/bx1phdbsvgUQikTwh+a8f\nfp9PfvYTTE/OcNVFB9eH14LTOG3ODRXX2SGRl4SQ4U6JMrvVat1iOVpplcWXgJmgOeFeStHR2kwF\np6QByqjYFdslMulGp4HL7lrPvs21s40WpbV2jag3JiYUN4u+5Gt5xvxj+Jx+sXc4GHpbLGc5affJ\nvPtt51IsFbji+r3bffoSiUTyhKPX67Fn/7noms4NV95K36avD6/5J8hVl2n3Woz5xvE5fVum0YXI\nS2AKr9PLam1VDK6N+8eH1snmoruwWq2s1dfEQNxMeGZk57rjg7jD7mA2MkufPguFeTRdI+KNDq2d\nbRx8S5uiL8nw7JD72VYt9aSYZrdgYTo4I7Lzi8+5jJPmTuZzX/kMd33769t8BSQSieSJxe0fPcwD\nD93PK19yJq98yZmki0bWnYgkaXQbYtp8OjizpYw+6Ht7HT4mApO0ui2WKsODa0IrPRTH4/DQ6rZY\nLGewWmzMRXdJA5RRE3AHhU76oMSyee1sSEu9nD2mRenGsrrL7hJa6tlyZig7b2oNbtpn2JRecvB8\n2u32dp6+RCKRPGGYTx3h8Idvxe/3c9O+w+Sqy+sOZQ4vmeK6VrrW17ZopQ/63htluI+plW5m5bqu\ns1CYN5TbIkmcdudIz1cGcZOp4LQQdCk01kT2bUiurmupexxeCg2jbDLQz2106+SruS1l9XH/uHjP\nSqs8JMn6/Oe+gN9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RApJIJJLtJreS4/r3H8TtdnPbgdvJVjLofZ2Z0AyNbl0E6Qn/xAZL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\n3tdMP1pti3pbV+ua3uLJoen0qeC0yKb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0J92VYUs8h452QQCflbLoT/vktlZSykz7fdPI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\nvpxfq6oq5+V77XuygBcfq4oqvdHXaht0ykucDU/lLPpe5z6WZ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/ekW+L9zmv0vR4XeSd/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1hr6fwJivBtySkLVUQZDCFhLY3ZLRueZkCsb4r4SBCom3YnjLsUikd+MmGMnU6/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\natSoUeOE4v8DIs5enp3qOx0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "eA_sTJ69Btx9",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Soft thresholding function\n",
"\n",
"この関数は\n",
"\n",
"$$ S(p, \\lambda) $$\n",
"で表される"
]
},
{
"metadata": {
"id": "zh4J-Tn6Dmyd",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"def soft_threshold(p, lamda):\n",
" if p < - lamda:\n",
" return p + lamda\n",
" elif p > lamda:\n",
" return p - lamda\n",
" else:\n",
" return 0\n",
"\n",
"lamda = 0.5\n",
"y = [soft_threshold(xii, lamda) for xii in x]"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "yt9jPpnJC_Qk",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 420
},
"outputId": "adb4d39a-c57f-47b7-9a53-06efb2f61fc6"
},
"cell_type": "code",
"source": [
"plt.figure(figsize = (8, 6))\n",
"plt.plot(x, y, label = '$(p, \\lambda)$')\n",
"plt.xlabel('p')\n",
"plt.ylabel('$\\\\theta$')\n",
"plt.legend()\n",
"plt.title('Soft threshold')"
],
"execution_count": 28,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Soft threshold')"
]
},
"metadata": {
"tags": []
},
"execution_count": 28
},
{
"output_type": "display_data",
"data": {
"image/png": 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dz8NrN9M3N5OF84p0tDcRkRhTuUtchUJhliytoLklxBevMgr65/iOJCISOCp3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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "oGxn8fPUDwgq",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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