From e5f88cc841e5c6c5cae9803bd3db191807533589 Mon Sep 17 00:00:00 2001 From: Victor Huynh <43865837+VictorHuynh@users.noreply.github.com> Date: Fri, 26 Jul 2024 11:02:28 -0700 Subject: [PATCH] feat: add system/lds demo to resolve #66 (#92) --- demos/systems/lds_demo.ipynb | 85 ++++++++++++++++++++++++++++++++++++ 1 file changed, 85 insertions(+) create mode 100644 demos/systems/lds_demo.ipynb diff --git a/demos/systems/lds_demo.ipynb b/demos/systems/lds_demo.ipynb new file mode 100644 index 00000000..eda99d81 --- /dev/null +++ b/demos/systems/lds_demo.ipynb @@ -0,0 +1,85 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from dynadojo.systems.lds import LDSystem\n", + "from dynadojo.wrappers import SystemChecker\n", + "from dynadojo.utils.lds import plot" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
, )" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "latent_dim = 9\n", + "embed_dim = 14\n", + "n = 500\n", + "timesteps = 50\n", + "system = SystemChecker(LDSystem(latent_dim, embed_dim, noise_scale=0, seed=0))\n", + "x0 = system.make_init_conds(n)\n", + "y0 = system.make_init_conds(30, in_dist=False)\n", + "x = system.make_data(x0, timesteps=timesteps)\n", + "y = system.make_data(y0, timesteps=timesteps, noisy=True)\n", + "plot([x, y], target_dim=min(latent_dim, 3), labels=[\"in\", \"out\"], max_lines=15)" + ] + } + ], + "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 +}