{ "cells": [ { "cell_type": "markdown", "id": "ea6fa8b0", "metadata": {}, "source": [ "# Analysing an SGD NN Optimisation Trajectory" ] }, { "cell_type": "markdown", "id": "6713a8ee", "metadata": {}, "source": [ "Simulate the XOR gate using a neural network (NN). Collect the trajectory of SGD when training the NN and analyse it." ] }, { "cell_type": "markdown", "id": "3b2abd48", "metadata": {}, "source": [ "## Setup NN" ] }, { "cell_type": "code", "execution_count": 1, "id": "5b85e385", "metadata": {}, "outputs": [], "source": [ "seed = 100" ] }, { "cell_type": "code", "execution_count": 2, "id": "a6763e8c", "metadata": {}, "outputs": [], "source": [ "import torch\n", "import torch.nn as nn\n", "import numpy as np\n", "import seaborn as sns\n", "import pandas as pd\n", "import torch.nn.init as init" ] }, { "cell_type": "code", "execution_count": 3, "id": "4b186cbc", "metadata": {}, "outputs": [], "source": [ "class XOR(nn.Module):\n", " def __init__(self):\n", " super(XOR, self).__init__()\n", "\n", " self.layers = nn.Sequential(\n", " nn.Linear(2, 2),\n", " nn.Tanh(),\n", " nn.Linear(2, 1),\n", " )\n", " def forward(self, x):\n", " return self.layers(x)" ] }, { "cell_type": "code", "execution_count": 4, "id": "71d16679", "metadata": {}, "outputs": [], "source": [ "def weight_init(m):\n", " '''\n", " Usage:\n", " model = Model()\n", " model.apply(weight_init)\n", " '''\n", " \n", " if isinstance(m, nn.Linear):\n", " init.xavier_normal_(m.weight.data)\n", " init.uniform_(m.bias.data)" ] }, { "cell_type": "code", "execution_count": 5, "id": "256d53ff", "metadata": {}, "outputs": [], "source": [ "def get_weights_biases(model: XOR):\n", " return [\n", " model.layers[0].weight[0][0].item(),\n", " model.layers[0].weight[0][1].item(),\n", " model.layers[0].weight[1][0].item(),\n", " model.layers[0].weight[1][1].item(),\n", " model.layers[0].bias[0].item(),\n", " model.layers[0].bias[1].item(),\n", " model.layers[2].weight[0][0].item(),\n", " model.layers[2].weight[0][1].item(),\n", " model.layers[2].bias[0].item(),\n", " ]" ] }, { "cell_type": "code", "execution_count": 6, "id": "a5d5bee1", "metadata": {}, "outputs": [], "source": [ "device = torch.device(\"cpu\")\n", "\n", "x_train = torch.tensor([[0,0], [0,1], [1,1], [1,0]], device=device).float()\n", "y_train = torch.tensor([[0], [1], [0], [1]], device=device).float()\n", "\n", "\n", "x_val = torch.clone(x_train)\n", "y_val = torch.clone(y_train)\n", "\n", "torch.manual_seed(seed)\n", "np.random.seed(seed)\n", "\n", "model = XOR()\n", "model.apply(weight_init)\n", "model = model.to(device)\n", "\n", "lr = 0.1\n", "n_epochs = 1000\n", "\n", "optimizer = torch.optim.SGD(model.parameters(), lr=lr)\n", "loss_fn = nn.BCEWithLogitsLoss()\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "afab2cd3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch: 0, Loss: 0.6997735500335693, \n", "Epoch: 50, Loss: 0.6368666887283325, \n", "Epoch: 100, Loss: 0.6079322099685669, \n", "Epoch: 150, Loss: 0.585761308670044, \n", "Epoch: 200, Loss: 0.566925585269928, \n", "Epoch: 250, Loss: 0.5497063994407654, \n", "Epoch: 300, Loss: 0.5328973531723022, \n", "Epoch: 350, Loss: 0.5154256820678711, \n", "Epoch: 400, Loss: 0.4956590533256531, \n", "Epoch: 450, Loss: 0.4689560532569885, \n", "Epoch: 500, Loss: 0.4196017384529114, \n", "Epoch: 550, Loss: 0.3432215452194214, \n", "Epoch: 600, Loss: 0.2689013183116913, \n", "Epoch: 650, Loss: 0.21145915985107422, \n", "Epoch: 700, Loss: 0.17034313082695007, \n", "Epoch: 750, Loss: 0.14094915986061096, \n", "Epoch: 800, Loss: 0.11939752101898193, \n", "Epoch: 850, Loss: 0.10311853140592575, \n", "Epoch: 900, Loss: 0.090479776263237, \n", "Epoch: 950, Loss: 0.08043112605810165, \n" ] } ], "source": [ "weights = []\n", "losses = []\n", "for epoch in range(n_epochs):\n", " model.train()\n", "\n", " logits = model(x_train)\n", "\n", " loss = loss_fn(logits, y_train)\n", "\n", " losses.append(loss.item())\n", " \n", " loss.backward()\n", "\n", " optimizer.step()\n", "\n", " weights.append(get_weights_biases(model))\n", " \n", " optimizer.zero_grad()\n", " if (epoch % 50 == 0):\n", " print(\"Epoch: {0}, Loss: {1}, \".format(epoch, loss.to(\"cpu\").detach().numpy()))" ] }, { "cell_type": "code", "execution_count": 8, "id": "c7bdffd8", "metadata": {}, "outputs": [], "source": [ "X = pd.DataFrame(weights)\n", "X.columns = ['w0', 'w1', 'w2', 'w3', 'b0', 'b1', 'w4', 'w5', 'b2']\n", "F = pd.DataFrame()\n", "F['train_loss'] = losses\n", "F['epoch'] = list(F.index)\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "54097bfc", "metadata": {}, "outputs": [], "source": [ "sample = {\n", " 'name': 'xor-sgd',\n", " 'X': X,\n", " 'F': F.drop(columns='epoch'),\n", " 'N': 'X-index' # use index in X to infer neighbourhood\n", "}" ] }, { "cell_type": "code", "execution_count": 10, "id": "2762e4e3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.lineplot(F, x='epoch', y='train_loss')" ] }, { "cell_type": "markdown", "id": "fcf217c2", "metadata": {}, "source": [ "## Setup `pyXla` sample" ] }, { "cell_type": "code", "execution_count": 11, "id": "acdadc4b", "metadata": {}, "outputs": [], "source": [ "from pyxla import load_data\n", "import pyxla" ] }, { "cell_type": "code", "execution_count": 12, "id": "3de58b0a", "metadata": {}, "outputs": [], "source": [ "load_data(sample)" ] }, { "cell_type": "code", "execution_count": 13, "id": "893a1038", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "feat, plot = pyxla.distr_f(sample, title=False)" ] }, { "cell_type": "code", "execution_count": 14, "id": "841c52ac", "metadata": {}, "outputs": [], "source": [ "plot.savefig('distr-f-xor-nn-trained.png', dpi=300)" ] }, { "cell_type": "code", "execution_count": 15, "id": "b0cd9346", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, imp, plot = pyxla.X_imp(sample, estimator='ridge', alpha=1, n_repeats=30, seed=seed, suptitle=False)" ] }, { "cell_type": "code", "execution_count": 16, "id": "949b5f36", "metadata": {}, "outputs": [], "source": [ "plot.savefig('x-imp-xor-nn-trained.png', dpi=300)" ] }, { "cell_type": "code", "execution_count": 17, "id": "0c24a8d3", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:No D file is present, thus, computing the D file... Computing an entire D file can be time consuming. Instead, you can call the function with the keyword argument `compute_D_file` set to `False` to speed up computation, as only the required distances will be calculated.\n", "INFO:root:D file has been loaded to the current sample and is saved to ./xor-sgd_D.csv\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, plot = pyxla.fdc(sample)" ] }, { "cell_type": "code", "execution_count": 18, "id": "5edd3e1e", "metadata": {}, "outputs": [], "source": [ "plot.savefig('fdc-xor-nn-trained.png', dpi=300)" ] }, { "cell_type": "code", "execution_count": 19, "id": "109f8428", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a610bb8b004f4a66af6677f53f23bf61", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/1 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, plot = pyxla.rdc(sample)" ] }, { "cell_type": "code", "execution_count": 20, "id": "4500f0c1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, plot = pyxla.pdc(sample)" ] }, { "cell_type": "code", "execution_count": 21, "id": "81c85840", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/toni/Projects/pyxla-wg/src/pyxla/__init__.py:1409: RuntimeWarning: divide by zero encountered in log\n", " forward = lambda x: np.log(x / init_percentage) / np.log(growth_factor)\n" ] }, { "data": { "text/plain": [ "({'train_loss': np.float64(-2.030872834502893)},\n", "
)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pyxla.disp_best(sample)" ] }, { "cell_type": "code", "execution_count": 22, "id": "b7c49fc7", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9f81dda68b724857979012ee59a8f84e", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/1 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, plot = pyxla.nfc(sample)" ] }, { "cell_type": "code", "execution_count": 23, "id": "8defa8ff", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3e5d0679f9c24fd49b0af7a30e35290f", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/1 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr, plot = pyxla.nrc(sample)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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 }