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@naturale0
Last active October 31, 2020 23:04
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Implementation of (1) softmax classifier with polynomial kernel function, (2) 2-layer neural network
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Linear classifier + RBF kernel"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.datasets import load_iris\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10b854d90>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Qyoy3q03MZgOt2mg7QGoaQRB44qUhLPr3AKuWHMHlUug3qDljJnbAYLh4im26bA7W3Pke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\n1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"text/plain": [
"<matplotlib.figure.Figure at 0x10af5bed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# XOR toy data\n",
"N = 200 # approximate number of samples per class\n",
"D = 2 # data dimension\n",
"K = 2 # number of classes\n",
"\n",
"x = np.random.randn(N*K, D)\n",
"y = np.logical_xor(x[:, 0] > 0, x[:, 1] > 0)\n",
"y = np.where(y, 1, 0)\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"polyfy = PolynomialFeatures(2)\n",
"x_poly = polyfy.fit_transform(x)\n",
"D = x_poly.shape[1]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=0.694571267825\n",
"1000: loss=0.214419075823\n",
"2000: loss=0.185647088505\n",
"3000: loss=0.173342623267\n",
"4000: loss=0.166668019828\n"
]
}
],
"source": [
"# initialize weights (and bias)\n",
"W = np.random.randn(D, K) * 0.01\n",
"b = np.zeros(K)\n",
"losses = []\n",
"\n",
"# training process\n",
"for epoch in range(5000):\n",
" # construct linear score function\n",
" f = x_poly.dot(W) + b\n",
" \n",
" # backprop to compute gradients\n",
" p = np.exp(f) / np.sum(np.exp(f), axis=1, keepdims=True)\n",
" I = np.zeros(p.shape)\n",
" I[range(x_poly.shape[0]), y] = 1\n",
" df = (p - I) / x_poly.shape[0]\n",
" reg = 0.001\n",
" \n",
" dW = (x_poly.T).dot(df)\n",
" dW += reg * W\n",
" db = np.sum(df, axis=0)\n",
" \n",
" # update weights\n",
" eta = 0.05 # learning rate\n",
" W -= eta * dW\n",
" b -= eta * db\n",
" \n",
" # print loss\n",
" data_loss = -np.sum(np.log(p[range(x_poly.shape[0]), y])) / x_poly.shape[0]\n",
" reg_loss = np.sum(0.5 * reg * (W**2))\n",
" loss = data_loss + reg_loss\n",
" losses.append(loss)\n",
" if epoch % 1000 == 0:\n",
" print(\"{}: loss={}\".format(epoch, loss))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10bad8c50>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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arWys5LO3XcvfPHWYO954ho1rF/pdkohIUc2JT6hO5FO3rGTtkmrufXwfr3YP+F2OiEhR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\nCCncRURCSOEuIhJC/x8jGdZAUJZPwQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10af5b590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.9925\n"
]
}
],
"source": [
"# predictionn\n",
"pred = np.argmax(x_poly.dot(W) + b, axis=1)\n",
"# accuracy\n",
"acc = (pred==y) / float(y.shape[0])\n",
"print(sum(acc))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"xx, yy = np.meshgrid(np.linspace(-1.5, 1.5, 200), np.linspace(-1.5, 1.5, 200))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x_test = polyfy.fit_transform(np.c_[xx.flatten(), yy.flatten()])\n",
"y_test = x_test.dot(W) + b\n",
"y_test = np.argmax(y_test, axis=1).reshape(200, 200)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.5, 1.5)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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TbdZVgEBK7aw2DSk1Wl79L/Ks5VQWbyQaDXBq5x+ILOylYMmtU7pDazTIN9vruYFCrhOF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\n/es4/I9v8kzkBFU48BKhXQ3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LJhgZaEUIkUrIPQmvz3tsOwuqt2C1pjx6o9FGQV4dIV8H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ljzqxw99m9Ulm9BlxrdvW9jCJRhK1i6DTZ6bu6dimez9Gt/3uW4VCMTs+inh0WaasP0ioGxXGoq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\nLoVpsiEkE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gjDJFhudJ7nSJcHj8GE56zZ56FnDHxz1xBf/z/nn217KlajZ9McPvw7tGQM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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10af5b490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5,5))\n",
"plt.contourf(xx, yy, y_test, cmap=mpl.cm.Spectral)\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.title(\"Decision hyperplane\")\n",
"plt.xlabel(\"original X1\")\n",
"plt.ylabel(\"original X2\")\n",
"plt.xlim(-1.5, 1.5)\n",
"plt.ylim(-1.5, 1.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2-layer Neural Net"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fisher's iris data"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"iris = load_iris()\n",
"x = iris.data[:, [0, 2]]\n",
"y = iris.target"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"N = 50 # number of samples per class\n",
"D = 2 # data dimension\n",
"K = 3 # number of classes"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def train_nn(x, y, D, K, reg=.001, eta=.05, epochs=5000):\n",
" # initialize weights\n",
" W1 = np.random.randn(D, 100) * 0.01\n",
" b1 = np.zeros((1, 100))\n",
" W2 = np.random.randn(100, K) * 0.01\n",
" b2 = np.zeros((1, K))\n",
"\n",
" # training process\n",
" losses = []\n",
"\n",
" for epoch in range(epochs):\n",
" h = np.maximum(0, x.dot(W1) + b1) # hidden layer\n",
" f = h.dot(W2) + b2 # final layer\n",
"\n",
" # backprop to hidden layer\n",
" p = np.exp(f) / np.sum(np.exp(f), axis=1, keepdims=True)\n",
" dhidden = p.copy()\n",
" dhidden[range(x.shape[0]), y] -= 1\n",
" dhidden /= x.shape[0]\n",
" dW2 = (h.T).dot(dhidden) + reg * W2\n",
" db2 = np.sum(dhidden, axis=0, keepdims=True)\n",
"\n",
" # backprop the activation (relu)\n",
" drelu = (dhidden).dot(W2.T)\n",
" drelu[h <= 0] = 0\n",
"\n",
" # backprop to input layer\n",
" dW1 = (x.T).dot(drelu) + reg * W1\n",
" db1 = np.sum(drelu, axis=0, keepdims=True)\n",
"\n",
" # update weights\n",
" W1 -= eta * dW1; b1 -= eta * db1\n",
" W2 -= eta * dW2; b2 -= eta * db2\n",
"\n",
" # compute loss\n",
" data_loss = -np.sum(np.log(p[range(x.shape[0]), y])) / x.shape[0]\n",
" reg_loss = 0.5 * reg * (np.sum(W2**2) + np.sum(W1**2))\n",
" loss = data_loss + reg_loss\n",
" losses.append(loss)\n",
" if epoch % 1000 == 0:\n",
" #print data_loss, reg_loss\n",
" print(\"{}: loss={}\".format(epoch, loss))\n",
" \n",
" return W1, b1, W2, b2, losses"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=1.10129825083\n",
"1000: loss=0.153836741213\n",
"2000: loss=0.138973742713\n",
"3000: loss=0.129289470763\n",
"4000: loss=0.121620763601\n"
]
}
],
"source": [
"W1, b1, W2, b2, losses = train_nn(x, y, D, K)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10bfe6410>]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10b8985d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.96\n"
]
}
],
"source": [
"# prediction\n",
"hidd = np.maximum(0, x.dot(W1) + b1)\n",
"scores = hidd.dot(W2) + b2\n",
"pred = np.argmax(scores, axis=1)\n",
"# accuracy\n",
"acc = (pred==y) / float(y.shape[0])\n",
"print(sum(acc))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"xx, yy = np.meshgrid(np.linspace(4, 8, 200),\n",
"np.linspace(0, 7, 200))\n",
"hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
"ff = hh.dot(W2) + b2\n",
"test = np.argmax(ff, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10d9108d0>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IsDRUmp4HkKtUauLG34CppoimmkIM7gOIDk/ttczjp0NfKkgNMBxYoCjKZiHEy8CTwFNt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\nIJVSKgpNkEopFYUmSKWUiuL/A8AUxJCfFhTIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bf5fe10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5,5))\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"#plt.xlim(-3.5, 3.5)\n",
"#plt.ylim(-3.5, 3.5)\n",
"plt.title(\"Decision hyperplane\")\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## XOR"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x11487e190>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EFyX8VE7bPWEsfg3CkXydeWVBEpF8zfT54jEkk/efscHXQs9PHkbyNRdFfgZf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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d7a3490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100 # approximate number of samples per class\n",
"D = 2 # data dimension\n",
"K = 2 # number of classes\n",
"\n",
"x = np.random.randn(N*K, D)\n",
"y = np.logical_xor(x[:, 0] > 0, x[:, 1] > 0)\n",
"y = np.where(y, 1, 0)\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=0.693112375482\n",
"1000: loss=0.193416524659\n",
"2000: loss=0.116207010265\n",
"3000: loss=0.0992894754978\n",
"4000: loss=0.092558538527\n"
]
}
],
"source": [
"W1, b1, W2, b2, losses = train_nn(x, y, D, K)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11497ff50>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CjwK3A/XA8mHC+wnn3OXOuSuBR4CvJ73SNFOUG2JhbTkvKdxFxAeJ7LkvAXY75/Y65/qA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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10afcacd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.99\n"
]
}
],
"source": [
"# prediction\n",
"hidd = np.maximum(0, x.dot(W1) + b1)\n",
"scores = hidd.dot(W2) + b2\n",
"pred = np.argmax(scores, axis=1)\n",
"# accuracy\n",
"acc = (pred==y) / float(y.shape[0])\n",
"print(sum(acc))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"xx, yy = np.meshgrid(np.linspace(-3.5, 3.5, 200),\n",
"np.linspace(-3.5, 3.5, 200))\n",
"hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
"ff = hh.dot(W2) + b2\n",
"test = np.argmax(ff, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x114a262d0>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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tdW8HI50gPTl+WS4FK4TAXVRNYe266WAJYHF4SGXiZDKJGftPxoaweM8+Dc9Z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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1149d2cd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5,5))\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(-3.5, 3.5)\n",
"plt.ylim(-3.5, 3.5)\n",
"plt.title(\"Decision hyperplane\")\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spiral data"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x116ae9810>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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xoQXnEbLs9hdwHyyFYA3LQKWHACo7BiAQUDeoK7+Ykz56IMaZwFtSzqdjb8CV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\nJI5TCHEG8CxK139VSvmIEOJBYKWUco4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nrnXVJQ2nobzq9wDfSSkfE0LcE3x/d60xlcCV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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d904f90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100 # number of samples per class\n",
"D = 2 # data dimension\n",
"K = 3 # number of classes\n",
"\n",
"x = np.zeros((N*K, D))\n",
"y = np.zeros(N*K, dtype=np.uint8)\n",
"\n",
"for j in range(K):\n",
" ix = range(j*N, (j+1)*N)\n",
" \n",
" # set radius and theta for polar coordinates\n",
" r = np.linspace(0, 1, N)\n",
" t = np.linspace(j*4, (j+1)*4, N) + 0.2 * np.random.randn(N)\n",
" \n",
" # set coordinate of each data points\n",
" x[ix] = np.c_[r*np.cos(t), r*np.sin(t)]\n",
" for ixs in ix:\n",
" y[ixs] = j\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: loss=1.09867975739\n",
"1000: loss=0.680206940006\n",
"2000: loss=0.504095651871\n",
"3000: loss=0.378495057509\n",
"4000: loss=0.337539673279\n",
"5000: loss=0.314305371564\n",
"6000: loss=0.299908118304\n",
"7000: loss=0.290452039955\n",
"8000: loss=0.284072421313\n",
"9000: loss=0.279425017868\n"
]
}
],
"source": [
"W1, b1, W2, b2, losses = train_nn(x, y, D, K, eta=.15, epochs=10000)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x116d3a510>]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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09/Ryz8sNfpciIjlG4Z7FxlQW8ekPjeLJ+Rt1WQIROSoK9yx3+5UTKc6P8O3fLtEXm0Qk\nbQr3LFdRFOWOaybz1ppdzF60xe9yRCRHKNxzwKfOreXMmlK+99xyWnXHJhFJg8I9B4RDxt0zT6O5\nrUsHV0UkLQr3HHFmbRmzzhvFT99cx7Ite/0uR0SynMI9h9xxzSTKC6P8/TOLdN0ZETkshXsOKSuM\n8r2/PI2lW/Zy/2u6obaIHJrCPcdcc+owZk4bwY9ebdDwjIgcksI9B33nL06lTMMzInIYCvccVF60\nf3jmhy+v8rscEclCCvccdc2pw/hUXS33/3E1cxqa/S5HRLKMwj2HfWfGqYyvivP1pxbqypEicgCF\new4riIa579Nn09bVw+1PLNT4u4j0U7jnuInVxXzv46czb81Ovvfccr/LEZEsEfG7ADl+nzinhhXb\n9vLwnLVMGlbMrPNG+V2SiPhMe+4Bcee1U7h0YhX//JslvLVmp9/liIjPFO4BEQ4Z9846i1FDCrnl\n5/X6gpPIIKdwD5DSgjx+/oXzKIpGuPGxd1i3o93vkkTEJwr3gKkpL+S/bj6PZG8vn3n0bTbt7vC7\nJBHxgcI9gMYPLebxL5zH3n0JPvXgW9qDFxmEFO4BdUZNGb+65Xw6unv45IPzaNANtkUGFYV7gJ02\nspSnvngBDrj+gXnMW62zaEQGi7TC3cymm9lKM2s0szsP0+8TZubMrC5zJcrxmFhdzLO3XUhVcYzP\nPvo2T9dv9LskETkJjhjuZhYG7gOuBaYCs8xs6gf0KwZuB97OdJFyfGorCvn1bRdywSlDuOOZxfzL\n75bS3aNLFYgEWTp77ucBjc65Nc65buBJYOYH9Psu8H1AV7DKQqUFeTz2uXP53IVj+Omf1vFXD85j\n4y6dSSMSVOmE+0hg4Gf5TV5bPzM7G6h1zj2Xwdokw/LCIb4z41Qe+MzZrGlu46P3zuHZP2/COed3\naSKSYcd9QNXMQsAPgG+m0fdWM6s3s/rmZl2D3C/TTxvOc1+9mInVxXzj6UXc/Hg92/fqA5dIkKQT\n7puB2gHPa7y2PsXAacAfzWwdcD4w+4MOqjrnHnLO1Tnn6qqqqo69ajluo4YU8tQXL+CfPjqFuY07\nuPIHr/Po3LW6bLBIQKQT7vOBCWY21syiwA3A7L6ZzrkW51ylc26Mc24M8BYwwzlXf0IqlowJh4yb\nLx7HH752CWeNKue7v1/G9B++weur9KlKJNcdMdydcz3AV4AXgeXA0865pWZ2t5nNONEFyok3trKI\nxz9/Lo/cWEdPr+Omx97hrx9+iwXrd/ldmogcI/PrYFpdXZ2rr9fOfbbp6knyi3nreeD11exo6+bS\niVV8/aqJTKst87s0EQHMbIFz7ojfJVK4ywfq6O7h8TfX8+Abq9nTkeBDYyu49ZJxXD5pKKGQ+V2e\nyKClcJeMaO1M8NT8jTw2dy1bWjoZPzTOTReMZuZZIynJz/O7PJFBR+EuGZVI9vLc4q08MncNSzbv\npSAvzIwzR3DDebVMqy3DTHvzIieDwl1OCOcc721u4Vdvb2D2oi10dCcZV1nEjGkjmDltJGMri/wu\nUSTQFO5ywrV2Jnj+va385t0tvLV2J87BmTWlXHv6cK6eWs24qrjfJYoEjsJdTqptLZ38btEWZi/a\nwnubWwA4paqIq08dxlVTq5lWU6YDsSIZoHAX32zes4+Xl23nf5Zt4601u0j2OqqKY1wyoYqLJ1Ry\n0fhKqopjfpcpkpMU7pIVWjoSvLayiZeWb+dPjTvY05EAYMrwEj48fggXjq/knNHlOvNGJE0Kd8k6\nyV7H0i0tzGnYwdyGHSxYv5vuZC9mMHlYCeeOKefcMRWcO6aCYaX5fpcrkpUU7pL19nUneXfDbuav\n2039+l38ef1u2ruTANSUF3DumArOGlXGmTVlTBleQjSiu0KKpBvukZNRjMgHKYiGuXB8JReOrwSg\nJ9nL8q2tzF+3i/r1u5jbuIP/927qAqTRcIipI0qYVlvGmbWlTKstZ8yQQp1fL3II2nOXrOWcY2tL\nJws37mHRxj0s3LiH9za30OHt3ZcW5HFGTSnTass4fWQpU4aXUFNeoMCXQNOeu+Q8M2NEWQEjygq4\n7vThQGrcvqGp1Qv7FhZu3MP9f1xNsje1k1IcizB5eDGTh5UwZXgJk4YVM6E6rgO2Muhoz11yXkd3\nD8u3trJi216Wb93Liq2trNjWSltXT3+fYSX5TKiOM35onAlDi5lYnfpZWqjQl9yiPXcZNAqjEc4Z\nXc45o8v725xzbNq9jxXbWmloaqVxexsNTW08+c5G9iWS/f2qimNMGBpnwtA4o4cUMXpIIaOHFFJT\nXkh+XtiPxRHJCIW7BJKZUVtRSG1FIVdNre5v7+11bN6zj8amNhqaWmnY3saqpjZ+/efNB+zpm6X2\n9kdVFHqBX0RtRSGjKwoZWV5ARWFU37iVrKZwl0ElFNof+pdPHtrf7pxjZ3s3G3Z1sGFnB+t3drB+\nVzsbdnbw2spmmls3HfA6eWFjaHE+1SUxqkvy+x/DSmNUF+dTXZp6Ho/pv5j4Q//yREjt6VfGY1TG\nY5w9qvx98zu6e9iwKxX621o62ba3k+3eo6GpjbkNO2gdsOffJx6LMLQkxrABG4Bq7/nQknyGleZT\nFY/pHH7JOIW7SBoKoxEmDyth8rCSQ/Zp7+rxAr+rP/i37e2kaW8X2/Z2Mn/dLpr2dtGd7H3f71bG\nowwtToX9wA1AdUk+VcUxyouilBfmUZAX1qmekhaFu0iGFMUijKuKH/ZSx845dnck2NbSyfbWTrb3\nfwrYv0FYvGkPO9q6P/D3o5EQ5YV5lBdGU4+iPMoKo4doS7WX5Ofp+MAgpHAXOYnMjIqiKBVFUaZy\n6E8BiWQvTa2pwG9u7WJPRze7OxLsbu9mtze9p6ObVdvb2N3ezZ59if5z/Q8WMigrjFLmBX08FqEo\nFqYoFqE4FqHIe8S9R/90foS4168oFqEoGiGsjUTOULiLZKG8cIiRZQWMLCtIq39vr6O1q2f/RqCj\n29sQJLy2bna3J9jbmaC9q4fm1i7aunpo6+qhvauHnkNsGA5WGA0ftCEIH7hB+IDpoliY4vz9G4i+\ndh1nOLEU7iIBEAoZpQV5lBbkMXrI0f2uc46unt7+oE/9TNLWlaCtK5lq69y/IWjv7qG105vuSrJ5\nT6c3nerT1fP+YwofJBoJDdhA5FEYDZOfFyI/EibW/9NrywuTH0lNxyLec29e7IB5A/rn7X+9wTgs\npXAXGeTMrD8MK+PHfxOVRLI3rY1EW3fqeapvkn2JHjoTvezpSNCZSNKZ6KWrJ0lXopfOniSJ5LF/\nmz4vbO/fWBy0IcnP86YPubFI/YxFwsQiqY1MNJLqE8sLEQ2HiHm/E/XmR0Lm2wFwhbuIZFReOOSN\n8Ucz+ro9yV66enpTwe/97Av+/ulEks6egdO9/RuKzkTygI1FX9u+7iS72xN09ezfoPTNS3e46lBC\nRv8GIDpgg/C1Kycy48wRGfrLfDCFu4jkhEg4RCQcougkfjGsJ9lLZ08vXQdsKJJ096Q2NAf+TB44\nneil29sgdSUGzEv2UlZw4q9ppHAXETmESDhEPBzKyW8a63C1iEgAKdxFRAJI4S4iEkAKdxGRAFK4\ni4gEkMJdRCSAFO4iIgGkcBcRCSBz7vi+XnvMb2zWDKw/xl+vBHZksJxcoGUeHLTMg8PxLPNo51zV\nkTr5Fu7Hw8zqnXN1ftdxMmmZBwct8+BwMpZZwzIiIgGkcBcRCaBcDfeH/C7AB1rmwUHLPDic8GXO\nyTF3ERE5vFzdcxcRkcPIuXA3s+lmttLMGs3sTr/rOVZmVmtmr5nZMjNbama3e+0VZvaSmTV4P8u9\ndjOze73lXmxmZw94rZu8/g1mdpNfy5QuMwub2btm9nvv+Vgze9tbtqfMLOq1x7znjd78MQNe4y6v\nfaWZXePPkqTHzMrM7BkzW2Fmy83sgqCvZzP7uvfveomZPWFm+UFbz2b2mJk1mdmSAW0ZW69mdo6Z\nvef9zr12tPfrc87lzAMIA6uBcUAUWARM9buuY1yW4cDZ3nQxsAqYCvw7cKfXfifwfW/6OuAFwIDz\ngbe99gpgjfez3Jsu93v5jrDs3wB+Bfzee/40cIM3/QBwmzf9t8AD3vQNwFPe9FRv3ceAsd6/ibDf\ny3WY5X0cuNmbjgJlQV7PwEhgLVAwYP1+LmjrGbgEOBtYMqAtY+sVeMfra97vXntU9fn9BzrKP+YF\nwIsDnt8F3OV3XRlatt8CVwErgeFe23BgpTf9IDBrQP+V3vxZwIMD2g/ol20PoAZ4BbgC+L33D3cH\nEDl4HQMvAhd40xGvnx283gf2y7YHUOoFnR3UHtj17IX7Ri+wIt56viaI6xkYc1C4Z2S9evNWDGg/\noF86j1wblun7R9Nnk9eW07yPoWcBbwPVzrmt3qxtQLU3fahlz7W/yQ+BO4Be7/kQYI9zrsd7PrD+\n/mXz5rd4/XNpmccCzcBPvaGoR8ysiACvZ+fcZuA/gA3AVlLrbQHBXs99MrVeR3rTB7enLdfCPXDM\nLA78Gviac27vwHkutckOzOlMZvYxoMk5t8DvWk6iCKmP7j9xzp0FtJP6uN4vgOu5HJhJasM2AigC\npvtalA/8Xq+5Fu6bgdoBz2u8tpxkZnmkgv2XzrlnvebtZjbcmz8caPLaD7XsufQ3uQiYYWbrgCdJ\nDc3cA5SZWd8diAfW379s3vxSYCe5tcybgE3Oube958+QCvsgr+crgbXOuWbnXAJ4ltS6D/J67pOp\n9brZmz64PW25Fu7zgQneUfcoqYMvs32u6Zh4R74fBZY7534wYNZsoO+I+U2kxuL72m/0jrqfD7R4\nH/9eBK42s3Jvj+lqry3rOOfucs7VOOfGkFp3rzrnPg28BlzvdTt4mfv+Ftd7/Z3XfoN3lsVYYAKp\ng09Zxzm3DdhoZpO8po8AywjweiY1HHO+mRV6/877ljmw63mAjKxXb95eMzvf+xveOOC10uP3AYlj\nOIBxHakzS1YD/+h3PcexHB8m9ZFtMbDQe1xHaqzxFaABeBmo8PobcJ+33O8BdQNe6wtAo/f4vN/L\nlubyX8b+s2XGkfpP2wj8NxDz2vO9543e/HEDfv8fvb/FSo7yLAIflnUaUO+t69+QOisi0OsZ+Bdg\nBbAE+AWpM14CtZ6BJ0gdU0iQ+oT2N5lcr0Cd9/dbDfyYgw7KH+mhb6iKiARQrg3LiIhIGhTuIiIB\npHAXEQkghbuISAAp3EVEAkjhLiISQAp3EZEAUriLiATQ/wdHN2wCHVWYvwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bf9b1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(losses)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.98\n"
]
}
],
"source": [
"# prediction\n",
"hidd = np.maximum(0, x.dot(W1) + b1)\n",
"scores = hidd.dot(W2) + b2\n",
"pred = np.argmax(scores, axis=1)\n",
"# accuracy\n",
"acc = (pred==y) / float(y.shape[0])\n",
"print(sum(acc))"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x104fdb410>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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s69gSlUNhSMnzpRvwegyGiFiKAo2sMCqxY2aYiGdeeRHf15fxQNowNCFY5q5g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\nIdW9CAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d904710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx, yy = np.meshgrid(np.linspace(-1.5, 1.5, 200),\n",
"np.linspace(-1.5, 1.5, 200))\n",
"hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
"ff = hh.dot(W2) + b2\n",
"test = np.argmax(ff, axis=1)\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.contourf(xx, yy, test.reshape(200, 200),\n",
"cmap=mpl.cm.Spectral)\n",
"plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
"plt.xlim(-1.5, 1.5)\n",
"plt.ylim(-1.5, 1.5)\n",
"plt.title(\"Decision hyperplane\")\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### animated"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"W1 = np.random.randn(D, 100) * 0.01\n",
"b1 = np.zeros((1, 100))\n",
"W2 = np.random.randn(100, K) * 0.01\n",
"b2 = np.zeros((1, K))\n",
"\n",
"# training process\n",
"reg = .001\n",
"eta = .15\n",
"epochs = 10001\n",
"losses = []\n",
"\n",
"for epoch in range(epochs):\n",
" h = np.maximum(0, x.dot(W1) + b1) # hidden layer\n",
" f = h.dot(W2) + b2 # final layer\n",
"\n",
" # backprop to hidden layer\n",
" p = np.exp(f) / np.sum(np.exp(f), axis=1, keepdims=True)\n",
" dhidden = p.copy()\n",
" dhidden[range(x.shape[0]), y] -= 1\n",
" dhidden /= x.shape[0]\n",
" dW2 = (h.T).dot(dhidden) + reg * W2\n",
" db2 = np.sum(dhidden, axis=0, keepdims=True)\n",
"\n",
" # backprop the activation (relu)\n",
" drelu = (dhidden).dot(W2.T)\n",
" drelu[h <= 0] = 0\n",
"\n",
" # backprop to input layer\n",
" dW1 = (x.T).dot(drelu) + reg * W1\n",
" db1 = np.sum(drelu, axis=0, keepdims=True)\n",
"\n",
" # update weights\n",
" W1 -= eta * dW1; b1 -= eta * db1\n",
" W2 -= eta * dW2; b2 -= eta * db2\n",
"\n",
" # compute loss\n",
" data_loss = -np.sum(np.log(p[range(x.shape[0]), y])) / x.shape[0]\n",
" reg_loss = 0.5 * reg * (np.sum(W2**2) + np.sum(W1**2))\n",
" loss = data_loss + reg_loss\n",
" losses.append(loss)\n",
" if epoch % 100 == 0:\n",
" xx, yy = np.meshgrid(np.linspace(-1.5, 1.5, 200),\n",
" np.linspace(-1.5, 1.5, 200))\n",
" hh = np.maximum(0, (np.c_[xx.flatten(), yy.flatten()]).dot(W1) + b1)\n",
" ff = hh.dot(W2) + b2\n",
" test = np.argmax(ff, axis=1)\n",
"\n",
" plt.figure(figsize=(5,5))\n",
" plt.contourf(xx, yy, test.reshape(200, 200), cmap=mpl.cm.Spectral)\n",
" plt.scatter(x[:, 0], x[:, 1], c=y, cmap=mpl.cm.Spectral, edgecolor=\"k\", alpha=.75)\n",
" plt.xlim(-1.5, 1.5)\n",
" plt.ylim(-1.5, 1.5)\n",
" plt.title(\"Decision hyperplane\")\n",
" plt.xlabel(\"X1\")\n",
" plt.ylabel(\"X2\")\n",
" plt.savefig(\"./gif/{}.png\".format(epoch))\n",
" plt.close()\n",
"print \"Done\""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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