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@yrevar
Created April 17, 2020 04:44
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MLP 2d function approximation
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np, sys\n",
"import torch, torch.nn as nn, torch.nn.functional as F, torch.optim as optim\n",
"from torch.autograd import Variable\n",
"from mpl_toolkits import mplot3d\n",
"from matplotlib import cm as cm, pyplot as plt, colors as mplotcolors\n",
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x121853990>]"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,1,100)\n",
"x1 = 1-np.sin(np.pi*x/2)\n",
"x2 = np.sin(np.pi*x/2) #1-np.cos(np.pi*x/2)\n",
"# x1 = 2/(1+np.exp(-10*x))-1\n",
"# x2 = 2/(1+np.exp(10-10*x))\n",
"plt.plot(x1, \"g-\", label=\"x1\")\n",
"plt.plot(x2, \"r--\", label=\"x2\")"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def sine_sine_f(x, y):\n",
" return (1 - np.sin(np.pi*x/2) + np.sin(np.pi*y/2))/2.\n",
"\n",
"def sine_cos_f(x, y):\n",
" return (np.sin(np.pi*x/2) + (1.-np.cos(np.pi*y/2)))/2.\n",
"\n",
"def plot_surface(x_space, y_space, f, labs=[\"x\",\"y\",\"z\"]):\n",
" X, Y = np.meshgrid(x_space, y_space)\n",
" Z = f(X, Y).reshape(X.shape)\n",
" ax = plt.axes(projection='3d')\n",
" ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
" cmap='viridis', edgecolor='none')\n",
" ax.set_title('surface')\n",
" ax.set_xlabel(labs[0])\n",
" ax.set_ylabel(labs[1])\n",
" ax.set_zlabel(labs[2])\n",
" return X, Y"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.8464, '$y=(1 - sin(x_1 * \\\\pi/2)+sin(x_2 * \\\\pi/2))$')"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,8))\n",
"x1_tr = np.linspace(0,1,10)\n",
"x2_tr = np.linspace(0,1,10)\n",
"x1_tr_mesh, x2_tr_mesh = plot_surface(x1_tr, x2_tr, sine_sine_f, labs=[\"x1\",\"x2\",\"y\"])\n",
"plt.title(r'$y=(1 - sin(x_1 * \\pi/2)+sin(x_2 * \\pi/2))$', fontsize='small')\n",
"# plt.savefig(\"./figures/fn_sin_sin.png\")"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'z')"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ball_pos = np.asarray([0., 1., 1.])\n",
"fig = plt.figure(figsize=(8,8))\n",
"points = np.linspace(0,1,10)\n",
"X, Y = np.meshgrid(points, points)\n",
"Z = sine_sine_f(X, Y).reshape(X.shape)\n",
"ax = plt.axes(projection='3d')\n",
"ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
" cmap='viridis', edgecolor='none', zorder=-3)\n",
"ax.scatter(*ball_pos, c=\"r\", s=100, zorder=3)\n",
"ax.set_title('surface')\n",
"labs=[\"x\",\"y\",\"z\"]\n",
"ax.set_xlabel(labs[0])\n",
"ax.set_ylabel(labs[1])\n",
"ax.set_zlabel(labs[2])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"F_train = sine_sine_f\n",
"x_tr = torch.FloatTensor(np.dstack((x1_tr_mesh, x2_tr_mesh)).reshape(-1,2))\n",
"y_tr = torch.FloatTensor(list(map(lambda v: F_train(*v), x_tr.detach().numpy()))).reshape(-1,1)\n",
"x, y = Variable(x_tr, requires_grad=True), Variable(y_tr)\n",
"model = torch.nn.Sequential(\n",
" torch.nn.Linear(2, 1024), torch.nn.ReLU(),\n",
" torch.nn.Linear(1024, 1),\n",
")\n",
"loss_fn = torch.nn.MSELoss()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 10] loss: 0.7917, [ 20] loss: 0.1728, [ 30] loss: 0.0733, [ 40] loss: 0.0234, [ 50] loss: 0.0075, [ 60] loss: 0.0036, [ 70] loss: 0.0016, [ 80] loss: 0.0007, [ 90] loss: 0.0004, [ 100] loss: 0.0003, [ 110] loss: 0.0002, [ 120] loss: 0.0002, [ 130] loss: 0.0001, [ 140] loss: 0.0001, [ 150] loss: 0.0001, [ 160] loss: 0.0001, [ 170] loss: 0.0001, [ 180] loss: 0.0001, [ 190] loss: 0.0001, [ 200] loss: 0.0001, [ 210] loss: 0.0000, [ 220] loss: 0.0000, [ 230] loss: 0.0000, [ 240] loss: 0.0000, [ 250] loss: 0.0000, [ 260] loss: 0.0000, [ 270] loss: 0.0000, [ 280] loss: 0.0000, [ 290] loss: 0.0000, [ 300] loss: 0.0000, [ 310] loss: 0.0000, [ 320] loss: 0.0000, [ 330] loss: 0.0000, [ 340] loss: 0.0000, [ 350] loss: 0.0000, [ 360] loss: 0.0000, [ 370] loss: 0.0000, [ 380] loss: 0.0000, [ 390] loss: 0.0000, [ 400] loss: 0.0000, [ 410] loss: 0.0000, [ 420] loss: 0.0000, [ 430] loss: 0.0000, [ 440] loss: 0.0000, [ 450] loss: 0.0000, [ 460] loss: 0.0000, [ 470] loss: 0.0000, [ 480] loss: 0.0000, [ 490] loss: 0.0000, [ 500] loss: 0.0000, "
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1287bd050>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# optimizer = optim.SGD(model.parameters(), lr=1e-2)\n",
"optimizer = optim.Adam(model.parameters(), lr=1e-2)\n",
"loss_lst = []\n",
"running_loss = 0.0\n",
"for t in range(500):\n",
" y_pred = model(x)\n",
" loss = loss_fn(y_pred, y)\n",
" loss_lst.append(loss.item())\n",
" running_loss += loss.item()\n",
" if t % 10 == 9:\n",
" print('[{:5d}] loss: {:.4f}'.format(t + 1, running_loss / 10), end=\", \")\n",
" running_loss = 0.0\n",
" optimizer.zero_grad()\n",
" loss.backward() \n",
" optimizer.step()\n",
" \n",
"plt.figure(figsize=(10,4))\n",
"plt.subplot(121)\n",
"plt.plot(loss_lst)\n",
"plt.title(\"loss\")\n",
"plt.subplot(122)\n",
"plt.plot(y, \"g-\", linewidth=2, label=\"y_gt\")\n",
"plt.plot(model(x).detach().numpy(), \"y--\", linewidth=1, label=\"y_pred\")\n",
"plt.title(\"prediction\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x288 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,8))\n",
"x1_te = np.linspace(0,1,100)\n",
"x2_te = np.linspace(0,1,100)\n",
"mlp_f = lambda x1,x2: model(torch.FloatTensor(np.dstack((x1,x2)).reshape(-1,2))).detach().numpy()\n",
"x1_te_mesh, x2_te_mesh = plot_surface(x1_te, x2_te, mlp_f, labs=[\"x1\",\"x2\",\"y\"])\n",
"plt.title(r'MLP 2 layer (2-1024-relu-1): $\\hat{y}=(1 - sin(x_1 * \\pi/2)+sin(x_2 * \\pi/2))$')\n",
"\n",
"plt.savefig(\"./figures/fn_sin_sin_mlp_approximation.png\")\n",
"\n",
"plt.figure(figsize=(14,4))\n",
"plt.subplot(121)\n",
"x_te = [1,0]\n",
"x1 = Variable(torch.FloatTensor(x_te), requires_grad=True)\n",
"y1 = model(x1)\n",
"y1.backward()\n",
"plt.imshow(np.repeat(x1.grad.numpy().reshape(-1,1), 10, 1), vmin=-1, vmax=1)\n",
"plt.title(r\"$input: {}, out: {}, \\frac{{dout}}{{din}}:$ {}\".format(x_te, y1[0].detach().numpy().round(2), x1.grad.numpy().round(2)))\n",
"plt.colorbar()\n",
"\n",
"plt.subplot(122)\n",
"x_te = [0,1]\n",
"x1 = Variable(torch.FloatTensor(x_te), requires_grad=True)\n",
"y1 = model(x1)\n",
"y1.backward()\n",
"plt.imshow(np.repeat(x1.grad.numpy().reshape(-1,1), 10, 1), vmin=-1, vmax=1)\n",
"plt.title(r\"$input: {}, out: {}, \\frac{{dout}}{{din}}:$ {}\".format(x_te, y1[0].detach().numpy().round(2), x1.grad.numpy().round(2)))\n",
"plt.colorbar()\n",
"plt.suptitle(\"Gradients\")\n",
"\n",
"plt.savefig(\"./figures/fn_sin_sin_mlp_input_gradients.png\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"def mlp_f_grad_lst(x_list, model):\n",
" x_grad_list = []\n",
" for x in x_list:\n",
" x = Variable(torch.FloatTensor(torch.FloatTensor(x)), requires_grad=True)\n",
" y = model(x)\n",
" y.backward()\n",
" x_grad_list.append(x.grad.numpy())\n",
" return x_grad_list\n",
"\n",
"x_te = np.asarray([[i,1-i] for i in np.linspace(0,1,100)])\n",
"grad_list = mlp_f_grad_lst(x_te, model)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([-0.7401468 , 0.05654339], dtype=float32),\n",
" array([-0.09462872, 0.76809835], dtype=float32))"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grad_list[0], grad_list[-1]"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x12c769110>"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"plt.imshow(np.repeat(np.asarray(grad_list), 10, 1).transpose(), vmin=-0.76, vmax=0.76)\n",
"plt.xticks(ticks=np.arange(0, len(x_te)+5, 5), labels=[str(v.round(2)) for v in x_te[::5]] + [str(x_te[-1].round(2))], rotation=90)\n",
"plt.yticks(ticks=[0,10], labels=[\"dx1\", \"dx2\"])\n",
"plt.title(\"MLP Gradient\")\n",
"plt.xlabel(\"Input\")\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:irl]",
"language": "python",
"name": "conda-env-irl-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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