{ "cells": [ { "cell_type": "markdown", "id": "5fbc2d16-59f9-4be3-b93e-1a5440c7efd0", "metadata": {}, "source": [ "# Tutorial 3 - Initialization Types" ] }, { "cell_type": "markdown", "id": "1afe6a1e-3ab4-4f3f-ad47-f6cd66419504", "metadata": {}, "source": [ "Having worked with different layer types, for this tutorial we will stick to Chebyshev-based KANs in order to explore different initialization strategies. Once again, we will be re-using the code shown in the previous notebooks for the definition, training and evaluation of the models." ] }, { "cell_type": "code", "execution_count": 1, "id": "0a2ef2a6-f681-427f-8252-ade2111ce0e6", "metadata": {}, "outputs": [], "source": [ "from jaxkan.models.KAN import KAN\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import mean_squared_error\n", "\n", "from flax import nnx\n", "import optax\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import os\n", "os.environ[\"TF_CPP_MIN_LOG_LEVEL\"] = \"2\"" ] }, { "cell_type": "code", "execution_count": null, "id": "cf5b274c-0e17-4416-b07e-959596e7d7da", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "60e70a5d-0340-4bdc-af4e-150d0098a87e", "metadata": {}, "source": [ "## Experiment Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "b986e75a-6d4a-402f-bea7-36d13f4a7866", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set size: (800, 2)\n", "Test set size: (200, 2)\n" ] } ], "source": [ "def f(x,y):\n", " return x**2 + 2*jnp.exp(y)\n", "\n", "def generate_data(minval=-1, maxval=1, num_samples=1000, seed=42):\n", " key = jax.random.PRNGKey(seed)\n", " x_key, y_key = jax.random.split(key)\n", "\n", " x1 = jax.random.uniform(x_key, shape=(num_samples,), minval=minval, maxval=maxval)\n", " x2 = jax.random.uniform(y_key, shape=(num_samples,), minval=minval, maxval=maxval)\n", "\n", " y = f(x1, x2).reshape(-1, 1)\n", " X = jnp.stack([x1, x2], axis=1)\n", " \n", " return X, y\n", "\n", "seed = 42\n", "\n", "X, y = generate_data(minval=-1, maxval=1, num_samples=1000, seed=seed)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=seed)\n", "\n", "print(\"Training set size:\", X_train.shape)\n", "print(\"Test set size:\", X_test.shape)\n", "\n", "# Define the static parameters\n", "n_in = X_train.shape[1]\n", "n_out = y_train.shape[1]\n", "n_hidden = 6\n", "\n", "layer_dims = [n_in, n_hidden, n_hidden, n_out]" ] }, { "cell_type": "markdown", "id": "db8bf4bc-49fe-4014-94aa-4e5dbf632369", "metadata": {}, "source": [ "As in the previous notebook, we define a function that incorporates everything. Here, we set `init_scheme` as its only input, in order to investigate different initialization strategies." ] }, { "cell_type": "code", "execution_count": 3, "id": "b350b56f-5daa-411f-9090-b544760c34ef", "metadata": {}, "outputs": [], "source": [ "def run_experiment(init_scheme):\n", "\n", " layer_type = \"chebyshev\"\n", "\n", " required_parameters = {'D': 5, 'flavor': 'exact',\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': init_scheme,\n", " 'add_bias': True}\n", "\n", " # Initialize a KAN model, depending on the inputs of the experiment\n", " model = KAN(layer_dims = layer_dims,\n", " layer_type = layer_type,\n", " required_parameters = required_parameters,\n", " seed = 42\n", " )\n", "\n", " # Define Optimizer\n", " opt_type = optax.adam(learning_rate=0.001)\n", " optimizer = nnx.Optimizer(model, opt_type, wrt=nnx.Param)\n", "\n", " # Define train loop\n", " @nnx.jit\n", " def train_step(model, optimizer, X_train, y_train):\n", " \n", " def loss_fn(model):\n", " residual = model(X_train) - y_train\n", " loss = jnp.mean((residual)**2)\n", " \n", " return loss\n", " \n", " loss, grads = nnx.value_and_grad(loss_fn)(model)\n", " optimizer.update(model, grads)\n", " \n", " return loss\n", "\n", " # Do training\n", " num_epochs = 2000\n", " train_losses = jnp.zeros((num_epochs,))\n", " \n", " for epoch in range(num_epochs):\n", " # Calculate the loss\n", " loss = train_step(model, optimizer, X_train, y_train)\n", " \n", " # Append the loss\n", " train_losses = train_losses.at[epoch].set(loss)\n", "\n", " # Get MSE on test set\n", " y_pred = model(X_test)\n", " mse = mean_squared_error(y_test, y_pred)\n", "\n", " print(f\"The MSE of the fit is {mse:.5f}\\n\\n\")\n", "\n", " # Plot Losses\n", " plt.figure(figsize=(7, 4))\n", "\n", " plt.plot(np.array(train_losses), label='Train Loss', marker='o', color='#25599c', markersize=1)\n", " \n", " plt.xlabel('Epochs')\n", " plt.ylabel('Loss')\n", " plt.title('Training Loss Over Epochs')\n", " plt.yscale('log')\n", " \n", " plt.legend()\n", " plt.grid(True, which='both', linestyle='--', linewidth=0.5) \n", " \n", " plt.show()\n", "\n", " return" ] }, { "cell_type": "code", "execution_count": null, "id": "40cb5aa7-36eb-49c8-8d49-59ed25362a3e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f681d135-c885-4e59-87d7-1ea16a157c50", "metadata": {}, "source": [ "## Experiments" ] }, { "cell_type": "markdown", "id": "6df40b13-962e-424f-9dd6-92214d3c3ced", "metadata": {}, "source": [ "We will then run this function with different initialization techniques." ] }, { "cell_type": "markdown", "id": "95797a40-bbbd-4b68-8a41-b7d4f74dea56", "metadata": {}, "source": [ "### Default Initialization" ] }, { "cell_type": "markdown", "id": "83766364-a5b2-4458-acb0-cfa22dffc86d", "metadata": {}, "source": [ "The `default` initialization corresponds to the first initialization type introduced for each KAN layer in the paper that proposed it." ] }, { "cell_type": "code", "execution_count": 4, "id": "b7ae30b9-82f7-480c-a443-c991d5f52742", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00563\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init_scheme = {\"type\": \"default\"}\n", "\n", "run_experiment(init_scheme)" ] }, { "cell_type": "code", "execution_count": null, "id": "4c52024a-31c6-4469-88e6-ce275d358b9b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "813d0ceb-d6ec-4556-9b44-e39f55077de1", "metadata": {}, "source": [ "### LeCun Initialization" ] }, { "cell_type": "markdown", "id": "f86678fe-2e11-4c1d-81db-b0df96678c9a", "metadata": {}, "source": [ "The `lecun` initialization corresponds to the LeCun-inspired initialization introduced in [Initialization Schemes for Kolmogorov–Arnold Networks: An Empirical Study](https://openreview.net/forum?id=dwNXKkiP51). See the paper for more details.\n", "\n", "Note that this initialization includes additional parameters for the `init_scheme` dictionary.\n", "\n", "- `distribution`: Corresponds to the distribution used to create a sample from which to draw all expectation values involved in the initialization process.\n", "- `sample_size`: Defines the size of the aforementioned sample.\n", "- `gain`: Introduces a multiplicative factor for the standard distribution of the initialized weights." ] }, { "cell_type": "code", "execution_count": 5, "id": "723901b6-c82c-4671-8a7a-dc26e95e9d87", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00630\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init_scheme = {\"type\": \"lecun\", \"distribution\": \"uniform\", \"sample_size\": 10000, \"gain\": None}\n", "\n", "run_experiment(init_scheme)" ] }, { "cell_type": "code", "execution_count": null, "id": "a716daa9-4c47-4d42-94fe-178c2a8c83db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e5244a48-276d-41b1-818c-a10381a02a1c", "metadata": {}, "source": [ "### Glorot Initialization" ] }, { "cell_type": "markdown", "id": "dc8fe6e5-9374-4d94-a964-de24f38eccf0", "metadata": {}, "source": [ "The `glorot` initialization corresponds to the Glorot-inspired initialization introduced in [Initialization Schemes for Kolmogorov–Arnold Networks: An Empirical Study](https://openreview.net/forum?id=dwNXKkiP51). See the paper for more details." ] }, { "cell_type": "code", "execution_count": 6, "id": "6d70bfe1-78df-4209-963f-7ba78ee1655c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00090\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init_scheme = {\"type\": \"glorot\", \"distribution\": \"uniform\", \"sample_size\": 10000, \"gain\": None}\n", "\n", "run_experiment(init_scheme)" ] }, { "cell_type": "code", "execution_count": null, "id": "b04b05b0-2bfb-4e1c-954d-ff5642d28dde", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "ba86754b-befe-4bd0-8df9-54043d56c19d", "metadata": {}, "source": [ "### Fine Glorot Initialization" ] }, { "cell_type": "markdown", "id": "4c276e08-4532-49e4-a414-b97a1292ee38", "metadata": {}, "source": [ "The `glorot_fine` initialization corresponds to the Glorot-inspired initialization introduced in [Training Deep Physics-Informed Kolmogorov-Arnold Networks](https://www.sciencedirect.com/science/article/pii/S0045782526000356). Essentially, it's a basis-function-term-dependent initialization, which introduces a different standard deviation per basis function term. See the paper for more details." ] }, { "cell_type": "code", "execution_count": 7, "id": "749b1bf4-8d02-41df-8fb5-18c83c510780", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00090\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init_scheme = {\"type\": \"glorot_fine\", \"distribution\": \"uniform\", \"sample_size\": 10000, \"gain\": None}\n", "\n", "run_experiment(init_scheme)" ] }, { "cell_type": "code", "execution_count": null, "id": "843204d6-0315-42eb-89df-0b962e023414", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "ec7dc2b3-66b1-454e-8e92-3c5333032a4e", "metadata": {}, "source": [ "### Power-Law Initialization" ] }, { "cell_type": "markdown", "id": "8aad8b83-c687-4c04-b30a-9b674355b0df", "metadata": {}, "source": [ "The `power` initialization corresponds to a generalization of the power-law initialization introduced in [Initialization Schemes for Kolmogorov–Arnold Networks: An Empirical Study](https://openreview.net/forum?id=dwNXKkiP51).\n", "\n", "In its more general form, this initialization initializes residual and basis weights following $\\mathcal{N}\\left(0, \\sigma_r^2\\right)$ and $\\mathcal{N}\\left(0, \\sigma_b^2\\right)$, respectively, where\n", "\n", "$$ \\sigma_r = c_r \\times \\frac{1}{n_\\text{in}^{\\alpha_1} \\times \\left(D+1\\right)^{\\alpha_2}} \\qquad \\sigma_b = c_b \\times \\frac{1}{n_\\text{in}^{\\beta_1} \\times \\left(D+1\\right)^{\\beta_2}}, $$\n", "\n", "with $D$ being equal to $G+k$ for spline-based KAN layers.\n", "\n", "See the paper for more details, where $c_r = c_b = 1.0$, $\\alpha_1 = \\alpha_2 = \\alpha$ and $\\beta_1 = \\beta_2 = \\beta$." ] }, { "cell_type": "code", "execution_count": 8, "id": "7c644f4e-3756-490f-8a68-42c53b50d7e7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00127\n", "\n", "\n" ] }, { "data": { "image/png": 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