mirror of
https://github.com/ml-explore/mlx-examples.git
synced 2025-06-25 01:41:19 +08:00
607 lines
202 KiB
Plaintext
607 lines
202 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Import Library"
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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": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import mnist"
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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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"metadata": {},
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"outputs": [],
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"source": [
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"import mlx.core as mx\n",
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"import mlx.nn as nn\n",
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"import mlx.optimizers as optim\n",
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"\n",
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"from tqdm import tqdm\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# GAN Architecture"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Generator 👨🏻🎨"
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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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"metadata": {},
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"outputs": [],
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"source": [
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"def GenBlock(in_dim:int,out_dim:int):\n",
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" \n",
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" return nn.Sequential(\n",
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" nn.Linear(in_dim,out_dim),\n",
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" nn.BatchNorm(out_dim),\n",
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" nn.ReLU()\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": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"class Generator(nn.Module):\n",
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"\n",
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" def __init__(self, z_dim:int = 10, im_dim:int = 784, hidden_dim: int =128):\n",
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" super(Generator, self).__init__()\n",
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" # Build the neural network\n",
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" self.gen = nn.Sequential(\n",
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" GenBlock(z_dim, hidden_dim),\n",
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" GenBlock(hidden_dim, hidden_dim * 2),\n",
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" GenBlock(hidden_dim * 2, hidden_dim * 4),\n",
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" GenBlock(hidden_dim * 4, hidden_dim * 8),\n",
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"\n",
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"\n",
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" nn.Linear(hidden_dim * 8,im_dim),\n",
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" nn.Sigmoid()\n",
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" )\n",
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" \n",
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" def __call__(self, noise):\n",
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"\n",
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" return self.gen(noise)"
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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": 6,
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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": [
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"Generator(\n",
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" (gen): Sequential(\n",
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" (layers.0): Sequential(\n",
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" (layers.0): Linear(input_dims=100, output_dims=128, bias=True)\n",
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" (layers.1): BatchNorm(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
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" (layers.2): ReLU()\n",
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" )\n",
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" (layers.1): Sequential(\n",
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" (layers.0): Linear(input_dims=128, output_dims=256, bias=True)\n",
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" (layers.1): BatchNorm(256, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
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" (layers.2): ReLU()\n",
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" )\n",
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" (layers.2): Sequential(\n",
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" (layers.0): Linear(input_dims=256, output_dims=512, bias=True)\n",
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" (layers.1): BatchNorm(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
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" (layers.2): ReLU()\n",
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" )\n",
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" (layers.3): Sequential(\n",
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" (layers.0): Linear(input_dims=512, output_dims=1024, bias=True)\n",
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" (layers.1): BatchNorm(1024, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
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" (layers.2): ReLU()\n",
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" )\n",
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" (layers.4): Linear(input_dims=1024, output_dims=784, bias=True)\n",
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" (layers.5): Sigmoid()\n",
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" )\n",
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")"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"gen = Generator(100)\n",
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"gen"
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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": 7,
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"metadata": {},
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"outputs": [],
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"source": [
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"def get_noise(n_samples, z_dim):\n",
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" return np.random.randn(n_samples,z_dim)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Discriminator 🕵🏻♂️"
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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": 8,
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"metadata": {},
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"outputs": [],
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"source": [
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"def DisBlock(in_dim:int,out_dim:int):\n",
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" return nn.Sequential(\n",
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" nn.Linear(in_dim,out_dim),\n",
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" nn.LeakyReLU(negative_slope=0.2)\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": 9,
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"metadata": {},
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"outputs": [],
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"source": [
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"class Discriminator(nn.Module):\n",
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"\n",
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" def __init__(self,im_dim:int = 784, hidden_dim:int = 128):\n",
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" super(Discriminator, self).__init__()\n",
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"\n",
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" self.disc = nn.Sequential(\n",
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" DisBlock(im_dim, hidden_dim * 4),\n",
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" DisBlock(hidden_dim * 4, hidden_dim * 2),\n",
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" DisBlock(hidden_dim * 2, hidden_dim),\n",
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"\n",
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" nn.Linear(hidden_dim,1),\n",
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" )\n",
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" \n",
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" def __call__(self, noise):\n",
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"\n",
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" return self.disc(noise)"
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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": 10,
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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": [
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"Discriminator(\n",
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" (disc): Sequential(\n",
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" (layers.0): Sequential(\n",
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" (layers.0): Linear(input_dims=784, output_dims=512, bias=True)\n",
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" (layers.1): LeakyReLU()\n",
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" )\n",
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" (layers.1): Sequential(\n",
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" (layers.0): Linear(input_dims=512, output_dims=256, bias=True)\n",
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" (layers.1): LeakyReLU()\n",
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" )\n",
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" (layers.2): Sequential(\n",
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" (layers.0): Linear(input_dims=256, output_dims=128, bias=True)\n",
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" (layers.1): LeakyReLU()\n",
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" )\n",
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" (layers.3): Linear(input_dims=128, output_dims=1, bias=True)\n",
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" )\n",
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")"
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]
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},
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"execution_count": 10,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"disc = Discriminator()\n",
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"disc"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Model Training 🏋🏻♂️"
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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": 11,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Set your parameters\n",
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"criterion = nn.losses.binary_cross_entropy\n",
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"n_epochs = 200\n",
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"z_dim = 64\n",
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"display_step = 500\n",
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"batch_size = 128\n",
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"lr = 0.00001"
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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": 12,
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"metadata": {},
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"outputs": [],
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"source": [
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"gen = Generator(z_dim)\n",
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"mx.eval(gen.parameters())\n",
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"gen_opt = optim.Adam(learning_rate=lr)\n",
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"\n",
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"disc = Discriminator()\n",
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"mx.eval(disc.parameters())\n",
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"disc_opt = optim.Adam(learning_rate=lr)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Losses"
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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": 13,
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"metadata": {},
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"outputs": [],
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"source": [
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"def disc_loss(gen, disc, real, num_images, z_dim):\n",
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" noise = mx.array(get_noise(num_images, z_dim))\n",
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" fake_images = gen(noise)\n",
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" \n",
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" fake_disc = disc(fake_images)\n",
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" \n",
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" fake_labels = mx.zeros((fake_images.shape[0],1))\n",
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" fake_loss = nn.losses.binary_cross_entropy(fake_disc,fake_labels,with_logits=True)\n",
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" \n",
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" real_disc = disc(real)\n",
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" real_labels = mx.ones((real.shape[0],1))\n",
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"\n",
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" real_loss = nn.losses.binary_cross_entropy(real_disc,real_labels,with_logits=True)\n",
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"\n",
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" disc_loss = (fake_loss + real_loss) / 2\n",
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"\n",
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" return disc_loss"
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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": 14,
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"metadata": {},
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"outputs": [],
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"source": [
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"def gen_loss(gen, disc, num_images, z_dim):\n",
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"\n",
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" noise = mx.array(get_noise(num_images, z_dim))\n",
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" fake_images = gen(noise)\n",
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" fake_disc = disc(fake_images)\n",
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"\n",
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" fake_labels = mx.ones((fake_images.shape[0],1))\n",
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" \n",
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" gen_loss = nn.losses.binary_cross_entropy(fake_disc,fake_labels,with_logits=True)\n",
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"\n",
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" return gen_loss"
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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": 15,
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"metadata": {},
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"outputs": [],
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"source": [
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"train_images, _, test_images, _ = map(\n",
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" mx.array, getattr(mnist, 'mnist')()\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": 16,
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"metadata": {},
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"outputs": [],
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"source": [
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"def batch_iterate(batch_size:int, ipt:list):\n",
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" perm = mx.array(np.random.permutation(len(ipt)))\n",
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" for s in range(0, ipt.size, batch_size):\n",
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" ids = perm[s : s + batch_size]\n",
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" yield ipt[ids]"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### show batch of images"
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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": 17,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 16 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for X in batch_iterate(16, train_images):\n",
|
|
" fig,axes = plt.subplots(4, 4, figsize=(4, 4))\n",
|
|
"\n",
|
|
" for i, ax in enumerate(axes.flat):\n",
|
|
" img = mx.array(X[i]).reshape(28,28)\n",
|
|
" ax.imshow(img,cmap='gray')\n",
|
|
" ax.axis('off')\n",
|
|
" break"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def show_images(imgs:list[int]):\n",
|
|
" fig,axes = plt.subplots(4, 4, figsize=(4, 4))\n",
|
|
"\n",
|
|
" for i, ax in enumerate(axes.flat):\n",
|
|
" img = mx.array(imgs[i]).reshape(28,28)\n",
|
|
" ax.imshow(img,cmap='gray')\n",
|
|
" ax.axis('off')\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array(0.683622, dtype=float32)"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"z_dim = 64\n",
|
|
"gen = Generator(z_dim)\n",
|
|
"mx.eval(gen.parameters())\n",
|
|
"gen_opt = optim.Adam(learning_rate=lr)\n",
|
|
"\n",
|
|
"disc = Discriminator()\n",
|
|
"mx.eval(disc.parameters())\n",
|
|
"disc_opt = optim.Adam(learning_rate=lr)\n",
|
|
"\n",
|
|
"g_loss = gen_loss(gen, disc, 8, z_dim)\n",
|
|
"g_loss\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"60000"
|
|
]
|
|
},
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"len(train_images)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 65,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" 3%|▎ | 6/200 [02:24<1:16:40, 23.71s/it]"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Step 5: Generator loss: array(8.15901, dtype=float32), discriminator loss: array(nan, dtype=float32)\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" 6%|▌ | 11/200 [04:22<1:13:56, 23.47s/it]"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Step 10: Generator loss: array(8.52206, dtype=float32), discriminator loss: array(nan, dtype=float32)\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" 8%|▊ | 16/200 [06:18<1:11:26, 23.30s/it]"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Step 15: Generator loss: array(8.47402, dtype=float32), discriminator loss: array(nan, dtype=float32)\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" 8%|▊ | 16/200 [06:31<1:15:05, 24.49s/it]\n"
|
|
]
|
|
},
|
|
{
|
|
"ename": "KeyboardInterrupt",
|
|
"evalue": "",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
|
|
"Cell \u001b[0;32mIn[65], line 38\u001b[0m\n\u001b[1;32m 35\u001b[0m gen_opt\u001b[38;5;241m.\u001b[39mupdate(gen, G_grads)\n\u001b[1;32m 37\u001b[0m \u001b[38;5;66;03m# Update gradients\u001b[39;00m\n\u001b[0;32m---> 38\u001b[0m \u001b[43mmx\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43meval\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgen\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mparameters\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mgen_opt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mstate\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 40\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m cur_step \u001b[38;5;241m%\u001b[39m display_step \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m0\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m cur_step \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[1;32m 41\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStep \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mepoch\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m: Generator loss: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mG_loss\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m, discriminator loss: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mD_loss\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n",
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"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
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]
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 16 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 16 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
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"text/plain": [
|
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"<Figure size 400x400 with 16 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"batch_size = 16\n",
|
|
"display_step = 5\n",
|
|
"cur_step = 0\n",
|
|
"mean_generator_loss = 0\n",
|
|
"mean_discriminator_loss = 0\n",
|
|
"\n",
|
|
"D_loss_grad = nn.value_and_grad(disc, disc_loss)\n",
|
|
"G_loss_grad = nn.value_and_grad(gen, gen_loss)\n",
|
|
"\n",
|
|
"\n",
|
|
"for epoch in tqdm(range(200)):\n",
|
|
"\n",
|
|
" for real in batch_iterate(batch_size, train_images[:50]):\n",
|
|
" cur_batch_size = len(real)\n",
|
|
" # real = real.reshape(-1)\n",
|
|
" \n",
|
|
" # Flatten the batch of real images from the dataset\n",
|
|
" \n",
|
|
" # plt.imshow(real[0].reshape(28,28))\n",
|
|
" # print(len(real))\n",
|
|
" # break\n",
|
|
" \n",
|
|
" D_loss,D_grads = D_loss_grad(gen, disc, real, batch_size, z_dim)\n",
|
|
"\n",
|
|
" # Update optimizer\n",
|
|
" disc_opt.update(disc, D_grads)\n",
|
|
" \n",
|
|
" # Update gradients\n",
|
|
" mx.eval(disc.parameters(), disc_opt.state)\n",
|
|
"\n",
|
|
" \n",
|
|
" G_loss,G_grads = G_loss_grad(gen, disc, batch_size, z_dim)\n",
|
|
" \n",
|
|
" # Update optimizer\n",
|
|
" gen_opt.update(gen, G_grads)\n",
|
|
" \n",
|
|
" # Update gradients\n",
|
|
" mx.eval(gen.parameters(), gen_opt.state)\n",
|
|
" \n",
|
|
" if cur_step % display_step == 0 and cur_step > 0:\n",
|
|
" print(f\"Step {epoch}: Generator loss: {G_loss}, discriminator loss: {D_loss}\")\n",
|
|
" fake_noise = mx.array(get_noise(batch_size, z_dim))\n",
|
|
" fake = gen(fake_noise)\n",
|
|
" show_images(fake)\n",
|
|
" # print(fake.shape)\n",
|
|
" cur_step += 1\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "base",
|
|
"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": "3.10.10"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|