433 lines
681 KiB
Plaintext
433 lines
681 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "d6cb560a-707c-4c1e-b50f-2b9c8037a3c7",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [],
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"source": [
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"from PIL import Image\n",
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"import torch\n",
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"import torch.nn as nn\n",
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"import torch.nn.functional as F\n",
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"import torch.optim as optim\n",
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"import torchvision\n",
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"import torchvision.transforms as transforms\n",
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"import matplotlib.pyplot as plt\n",
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"from model.model import Model\n",
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"from rbm.entity import Entity, EntityParams, TrainingParams\n",
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"from rbm.matrix import Mat, np, rms_error_accu\n",
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"from compat.torch import Optimizer\n",
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"import math"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "4065302d-862f-4639-99d7-e396d055434c",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [],
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"source": [
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"transform = transforms.Compose([\n",
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" transforms.ToTensor()\n",
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"]) "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "ffe48fc6-0f57-48a0-b5e9-aa68cbc8edf1",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [],
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"source": [
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"train_data = torchvision.datasets.MNIST(root='./data', train=True, transform=transform, download=True)\n",
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"test_data = torchvision.datasets.MNIST(root='./data', train=False, transform=transform, download=True)\n",
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"\n",
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"train_loader = torch.utils.data.DataLoader(train_data, batch_size=32, shuffle=True, num_workers=2)\n",
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"test_loader = torch.utils.data.DataLoader(test_data, batch_size=32, shuffle=True, num_workers=2)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "51b90664-e470-4c9a-884d-374a2ece61b2",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"60000\n"
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]
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}
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],
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"source": [
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"print(len(train_data))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "33501c0f-6d78-43e9-b2ce-adbe40b6d95a",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[28, 28]\n"
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]
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}
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],
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"source": [
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"print(list(train_data[1][0].size()[1:3]))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 89,
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"id": "aedf601a-9084-4047-98e8-481f4d41a2d9",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [],
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"source": [
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"N = 60000\n",
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"size = 784\n",
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"n_side = 10\n",
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"train_images = np.zeros(shape=(N,size))\n",
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"for i in range(N):\n",
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" image = train_data[i][0]\n",
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" flat_array = torch.flatten(image)\n",
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" train_images[i, :] = np.asarray(flat_array.numpy())\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 90,
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"id": "5ee865c3-2af4-487f-a184-1291f99839b1",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"60000\n"
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]
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}
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],
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"source": [
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"print(len(train_images))\n",
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"image_indices = np.random.randint(0, N-1, n_side*n_side)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 91,
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"id": "b4310933-d850-4128-a2dd-27d88c004846",
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"metadata": {},
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"outputs": [
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{
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"data": {
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|
|
"text/plain": [
|
|
"<Figure size 3000x3000 with 100 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, axes = plt.subplots(n_side, n_side, figsize=(30,30))\n",
|
|
"index = 0 \n",
|
|
"for x in range(n_side):\n",
|
|
" for y in range(n_side):\n",
|
|
" inp = train_images[image_indices[index]]\n",
|
|
" img = np.reshape(inp, (28, 28))\n",
|
|
" axes[x,y].imshow(np.asnumpy(img))\n",
|
|
" axes[x,y].axis('off')\n",
|
|
" index += 1\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 92,
|
|
"id": "08143a53-12a1-4896-a4b2-166dedf0e021",
|
|
"metadata": {
|
|
"editable": true,
|
|
"slideshow": {
|
|
"slide_type": ""
|
|
},
|
|
"tags": []
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"class TestModel(Model):\n",
|
|
"\tdef __init__(self, name: str, work_dir: str = '.'):\n",
|
|
"\t\tsuper().__init__(name, work_dir)\n",
|
|
"\t\tself.unit1 = Entity((28*28, 100), EntityParams(do_gaussian_visible=False, do_gaussian_hidden=False), TrainingParams(learning_rate=0.1, momentum=0.9, num_epochs=10000, mini_batch_size=1000, l1_lambda=0.004, do_rao_blackwell=True), True)\n",
|
|
"#\t\tself.unit2 = Entity((500, 64), EntityParams(do_gaussian_visible=False, do_gaussian_hidden=False), TrainingParams(learning_rate=0.04, momentum=0.9, num_epochs=1000, mini_batch_size=100, l2_lambda=0.01, do_rao_blackwell=True), True)\n",
|
|
"\n",
|
|
"\tdef forward(self, x: Mat):\n",
|
|
"\t\tx = self.unit1.forward(x)\n",
|
|
"#\t\tx = self.unit2.forward(x)\n",
|
|
"\t\treturn x\n",
|
|
"\n",
|
|
"\tdef backward(self, x: Mat):\n",
|
|
"#\t\tx = self.unit2.reconstruct(x)\n",
|
|
"\t\tx = self.unit1.reconstruct(x)\n",
|
|
"\t\treturn x\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 93,
|
|
"id": "6b3be9f6-38e1-442d-a7bd-1f3c164ec8d4",
|
|
"metadata": {
|
|
"editable": true,
|
|
"slideshow": {
|
|
"slide_type": ""
|
|
},
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"results/mnist_test-0-state.npz loaded successfully!\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 0%\n",
|
|
"Entity-784x100: err_rms : 0.014414508244480833\n",
|
|
"Entity-784x100: l2_norm : 25.413601322380156\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 10%\n",
|
|
"Entity-784x100: err_rms : 0.016305932137787714\n",
|
|
"Entity-784x100: l2_norm : 18.362961748495835\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 20%\n",
|
|
"Entity-784x100: err_rms : 0.01620548503399525\n",
|
|
"Entity-784x100: l2_norm : 18.48548452029196\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 30%\n",
|
|
"Entity-784x100: err_rms : 0.016206704015135853\n",
|
|
"Entity-784x100: l2_norm : 18.482700817069272\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 40%\n",
|
|
"Entity-784x100: err_rms : 0.016202401468158593\n",
|
|
"Entity-784x100: l2_norm : 18.4855822431084\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 50%\n",
|
|
"Entity-784x100: err_rms : 0.01620215643869973\n",
|
|
"Entity-784x100: l2_norm : 18.486069147676194\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 60%\n",
|
|
"Entity-784x100: err_rms : 0.016202034096700593\n",
|
|
"Entity-784x100: l2_norm : 18.486323079421453\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 70%\n",
|
|
"Entity-784x100: err_rms : 0.016201959457167476\n",
|
|
"Entity-784x100: l2_norm : 18.486481204151325\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 80%\n",
|
|
"Entity-784x100: err_rms : 0.01623254730225882\n",
|
|
"Entity-784x100: l2_norm : 18.47969998768271\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 90%\n",
|
|
"Entity-784x100: err_rms : 0.01623250724701853\n",
|
|
"Entity-784x100: l2_norm : 18.47978577224968\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 100%\n",
|
|
"Entity-784x100: err_rms : 0.016232475519207378\n",
|
|
"Entity-784x100: l2_norm : 18.479853839350724\n",
|
|
"-------------------------------------------\n",
|
|
"Entity-784x100: progress : 100%\n",
|
|
"Entity-784x100: err_rms_total : 0.01627253394868903\n",
|
|
"Entity-784x100: l2_norm : 18.477539124418225\n",
|
|
"results/mnist_test-0-state.npz saved successfully!\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"work_dir = \"results\"\n",
|
|
"prj_name = \"mnist_test\"\n",
|
|
"prj_root = \"/home/jens/work/repos/Rbm\"\n",
|
|
"\n",
|
|
"# Create model\n",
|
|
"model = TestModel(prj_name, \"results\")\n",
|
|
"\n",
|
|
"# Init state\n",
|
|
"model.init(0.01)\n",
|
|
"\n",
|
|
"# load state\n",
|
|
"model.load()\n",
|
|
"\n",
|
|
"# Train\n",
|
|
"model.train(train_images)\n",
|
|
"\n",
|
|
"# save state\n",
|
|
"model.save()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 94,
|
|
"id": "d036b106-77a3-4993-bc2a-5fb164b8ec46",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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|
|
"text/plain": [
|
|
"<Figure size 3000x3000 with 100 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Plot reconstructions\n",
|
|
"fig, axes = plt.subplots(n_side, n_side, figsize=(30,30))\n",
|
|
"index = 0 \n",
|
|
"for x in range(n_side):\n",
|
|
" for y in range(n_side):\n",
|
|
" inp = train_images[image_indices[index]]\n",
|
|
" recon = model.backward(model.forward(inp))\n",
|
|
" recon -= np.min(recon)\n",
|
|
" recon = recon / np.max(recon)\n",
|
|
" img = np.reshape(recon, (28, 28))\n",
|
|
" axes[x,y].imshow(np.asnumpy(img))\n",
|
|
" axes[x,y].axis('off')\n",
|
|
" index += 1\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 95,
|
|
"id": "9adce292-cae6-455c-9409-c57ae71a36d5",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(28, 28, 100)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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|
|
"text/plain": [
|
|
"<Figure size 3000x3000 with 100 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Plot weights\n",
|
|
"weights = model.unit1.state.w_hv\n",
|
|
"n, n_hid = weights.shape\n",
|
|
"weight_indices = np.random.randint(0, N-1, n_hid)\n",
|
|
"w = np.reshape(weights, (28, 28, n_hid))\n",
|
|
"print(w.shape)\n",
|
|
"fig, axes = plt.subplots(n_side, n_side, figsize=(30,30))\n",
|
|
"\n",
|
|
"index = 0\n",
|
|
"for x in range(n_side):\n",
|
|
" for y in range(n_side):\n",
|
|
" inp = np.asnumpy(w[:,:, weight_indices[index]])\n",
|
|
" axes[x,y].imshow(inp)\n",
|
|
" axes[x,y].axis('off')\n",
|
|
" index += 1\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "2a44660c-6ce7-4363-b345-5745f9b6f2d0",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "c2beab97-44c5-4a5c-bf4e-56f01753a4ee",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
} |