diff --git a/demos/systems/lorenz_demo.ipynb b/demos/systems/lorenz_demo.ipynb new file mode 100644 index 0000000..835d44a --- /dev/null +++ b/demos/systems/lorenz_demo.ipynb @@ -0,0 +1,103 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "from dynadojo.systems.lorenz import LorenzSystem\n", + "from dynadojo.wrappers import SystemChecker\n", + "from dynadojo.utils.lds import plot" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "latent_dim = 3\n", + "embed_dim = latent_dim\n", + "n = 50\n", + "test_size = 10\n", + "timesteps = 50\n", + "system = SystemChecker(LorenzSystem(latent_dim, embed_dim, noise_scale=0, seed=1912))\n", + "\n", + "x0 = system.make_init_conds(n)\n", + "y0 = system.make_init_conds(30, in_dist=False)\n", + "\n", + "x = system.make_data(x0, timesteps=timesteps)\n", + "y = system.make_data(y0, timesteps=timesteps, noisy=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
, )" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot([x, y], target_dim=min(latent_dim, 3), labels=[\"IND\", \"OOD\"], max_lines=test_size)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.10.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}