{ "cells": [ { "cell_type": "markdown", "id": "07aa228d-8318-4340-babd-4c070a48e47c", "metadata": {}, "source": [ "# Example: 1D Oscillator - Part 5/5\n", "\n", "- Author: Dr. Daning Huang\n", "- Date: 12/09/2025\n", "- Updated: 05/07/2026" ] }, { "cell_type": "markdown", "id": "51501d65-d228-49e5-8a38-218ea0d87cc8", "metadata": {}, "source": [ "In Part 5 of this example, we explore the validation procedure in `DyMAD`. This is particularly useful when one wants to determine the hyperparameters of the model, such as layer size and depth. `DyMAD` provides a handy functionality that\n", "\n", "- Sweeps over a given set of parameters\n", "- Trains models for each combination\n", "- Records the validation losses\n", "- Selects the final model with the lowest validation loss." ] }, { "cell_type": "markdown", "id": "c24aac39-5ad6-4824-89ef-b9a7dd7f3821", "metadata": {}, "source": [ "## Preparation\n", "\n", "To start with, let's import the necessary modules, which should be familiar now given Part 1." ] }, { "cell_type": "code", "execution_count": 1, "id": "4d829b85-d743-4820-9095-18c5dac8dd18", "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings('ignore')\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import torch\n", "\n", "from dymad.io import load_model\n", "from dymad.models import KBF\n", "from dymad.training import WeakFormTrainer\n", "from dymad.utils import plot_multi_trajs, TrajectorySampler" ] }, { "cell_type": "markdown", "id": "f85e0f85-ab23-4013-92f1-3a6292bf104e", "metadata": {}, "source": [ "We will recycle the training data from previous parts, so no data generation here." ] }, { "cell_type": "markdown", "id": "5e48bfbb-fad2-421f-9832-13b84b055b50", "metadata": {}, "source": [ "## Parametric Sweep\n", "\n", "The full case file is given in {download}`lti_kbf_cv.yaml`, but there is really only one new addition, a `cv` entry, as shown below.\n", "\n", "The options specify a $3\\times 3$ parameter grid, where the `koopman_dimension` in the `model` entry spans over $3, 4, 5$, and the weak-form window length in the first optimizer phase spans over $13, 15, 17$.\n", "\n", "The `metric` of `total` means using the total validation loss as the criterion to select the best model. One can also choose an individual loss, e.g., `metric: \"dynamics\"` for dynamics loss of validation, to choose the model." ] }, { "cell_type": "code", "execution_count": null, "id": "74c70313-256c-4953-ae82-d33e19216df3", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "cv:\n", " param_grid:\n", " model.koopman_dimension: [3, 4, 5]\n", " phases.0.weak_form_params.N: [13, 15, 17]\n", " metric: \"total\"\n", "\"\"\"" ] }, { "cell_type": "markdown", "id": "62a022e9-e0ab-49bc-8a05-c4d9231e38d8", "metadata": {}, "source": [ "## Training\n", "\n", "The training is actually identical to the regular training. But during training, this time you would see folders such as `_c0_f0`, `_c1_f0`, etc., where `ci` indicates the `i`th parameter combination." ] }, { "cell_type": "code", "execution_count": 3, "id": "6fbdef70-6b57-4062-8992-fb718e405545", "metadata": {}, "outputs": [], "source": [ "config_path = 'lti_kbf_cv.yaml'\n", "trainer = WeakFormTrainer(config_path, KBF)\n", "trainer.train();" ] }, { "cell_type": "markdown", "id": "96da329f-722f-4e5b-b6cf-58f6403f5df5", "metadata": {}, "source": [ "Running multiple trials can be tedious, so we also offer a multi-processing option. It is recommended to do so in a standalone script, with the following lines. A full example is in [`scripts/linear_time_invariant/lti_mp.py`](https://github.com/apus-lab/dymad/blob/main/scripts/linear_time_invariant/lti_mp.py)." ] }, { "cell_type": "code", "execution_count": null, "id": "c8add47d-dc63-48e4-a4f8-362b7cf3434a", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "import torch.multiprocessing as mp\n", "\n", "if __name__ == \"__main__\":\n", " mp.set_start_method(\"spawn\", force=True) # Extra line for multi-processing\n", "\n", " # Case set up as usual\n", "\n", " # The new option, xx is the number of devices/threads that your machine can support\n", " trainer = WeakFormTrainer(config_path, KBF, max_workers=xx)\n", " trainer.train();\n", "\"\"\"" ] }, { "cell_type": "markdown", "id": "d5b06c65-178d-4dbf-9ae7-a4cc402b8acb", "metadata": {}, "source": [ "## Visualizing Validation Results\n", "\n", "Once the results are available, we can review the distribution of validation losses and assess the optimality of the hyperparameters. There are several modes of plotting, as shown below.\n", "\n", "- The first is a 2D scatter plot over both parameters, and the red box shows the best combination.\n", "- The second collapses all trials under one parameter, so for one value of parameter there are multiple points.\n", "- The third unrolls all trials into one axis.\n", "- The error bar in the latter two cases would be non-zero if we specified a $k$-fold training." ] }, { "cell_type": "code", "execution_count": 5, "id": "7fdd316c-2ac0-4295-9242-54332fe616d0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from dymad.utils import plot_cv_results # New function\n", "\n", "keys = ['model.koopman_dimension', 'phases.0.weak_form_params.N']\n", "plot_cv_results('lti_kbf_cv', keys, ifclose=False)\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "c6a80bbf-ea0f-45c5-b636-8cf8ccef215d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "keys = ['model.koopman_dimension']\n", "plot_cv_results('lti_kbf_cv', keys, ifclose=False)" ] }, { "cell_type": "code", "execution_count": 7, "id": "c46d7a0e-4b5f-449f-b7f6-afee144cc43c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cv_results('lti_kbf_cv', None, ifclose=False)" ] }, { "cell_type": "markdown", "id": "56cf8789-7fb3-4511-a501-54f1b42d91e0", "metadata": {}, "source": [ "## Checking the Prediction\n", "\n", "This last step should be standard practice by now. The prediction appears fairly decent." ] }, { "cell_type": "code", "execution_count": 9, "id": "3bbf9f14-9dbd-42f5-9e75-ab9e72413f80", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = np.array([\n", " [0., 1.],\n", " [-1., -0.1]])\n", "def f(t, x, u):\n", " return (x @ A.T) + u\n", "g = lambda t, x, u: x\n", "\n", "config_gau = {\n", " \"control\" : {\n", " \"kind\": \"gaussian\",\n", " \"params\": {\n", " \"mean\": 0.5,\n", " \"std\": 1.0,\n", " \"t1\": 4.0,\n", " \"dt\": 0.2,\n", " \"mode\": \"zoh\"}}}\n", "\n", "t_grid = np.linspace(0, 5, 501)\n", "sampler = TrajectorySampler(f, g, config='lti_data.yaml', config_mod=config_gau)\n", "ts, xs, us, ys = sampler.sample(t_grid, batch=3)\n", "\n", "res = [xs]\n", "_, prd_func = load_model(KBF, 'lti_kbf_cv.pt')\n", "with torch.no_grad():\n", " _pred = prd_func(xs, ts, u=us)\n", "res.append(_pred)\n", "\n", "plot_multi_trajs(\n", " np.array(res), ts[0], \"LTI\",\n", " us=us, labels=['Truth', 'Best'], ifclose=False);" ] } ], "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 5 }