From b97f3cf36c9dc47c6ed9ccfbc438f8d27e94edcb Mon Sep 17 00:00:00 2001 From: Vladislav Date: Fri, 1 Sep 2023 01:54:08 +0800 Subject: [PATCH] 1d example added --- examples/example_1d_data.ipynb | 269 +++++++++++++++++++++++++++++++++ 1 file changed, 269 insertions(+) create mode 100644 examples/example_1d_data.ipynb diff --git a/examples/example_1d_data.ipynb b/examples/example_1d_data.ipynb new file mode 100644 index 0000000..c2962e8 --- /dev/null +++ b/examples/example_1d_data.ipynb @@ -0,0 +1,269 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "import torch\n", + "\n", + "from timediffusion import TD\n", + "\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cuda\n" + ] + } + ], + "source": [ + "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", + "print(device)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating sequence data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "seq = np.sin(np.linspace(0, 20 * np.pi, 1_000)) + np.sin(np.linspace(0, 8 * np.pi, 1_000))\n", + "seq = seq.reshape(1, - 1)\n", + "plt.plot(seq.flatten())\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fit & Restore" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 20/20 [00:30<00:00, 1.51s/it]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAE distance between original and restored 1.1e-01\n" + ] + } + ], + "source": [ + "# providing input shape for model in format (channels, input sequence length)\n", + "model = TD(input_dims=seq.shape).to(device=device, dtype=torch.float32)\n", + "\n", + "losses = model.fit(seq, verbose=True)\n", + "\n", + "# restores from random noise\n", + "res = model.restore(shape=seq.shape)\n", + "res = res.cpu().numpy()\n", + "\n", + "plt.plot(seq[0])\n", + "plt.plot(res[0])\n", + "plt.legend([\"original\", \"restored\"])\n", + "plt.show()\n", + "\n", + "mae_dist = np.abs(res - seq).mean()\n", + "print(f\"MAE distance between original and restored {mae_dist: .1e}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fit masked & Restore with persistent reference" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 20/20 [00:27<00:00, 1.39s/it]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAE distance between original and restored 1.2e-01\n" + ] + } + ], + "source": [ + "# providing input shape for model in format (channels, input sequence length)\n", + "model = TD(input_dims=seq.shape).to(device=device, dtype=torch.float32)\n", + "\n", + "mask = np.zeros_like(seq)\n", + "mask[:, 200: 400] = 1 # not fitting into points in range(200, 400)\n", + "losses = model.fit(seq, mask=mask, verbose=True)\n", + "\n", + "# restores with reference (mask)\n", + "res = model.restore(example=seq, mask=mask)\n", + "res = res.cpu().numpy()\n", + "\n", + "plt.plot(seq[0])\n", + "plt.plot(res[0])\n", + "plt.axvline(x = 200, color = 'r')\n", + "plt.axvline(x = 400, color = 'r')\n", + "plt.legend([\"original\", \"restored\"])\n", + "plt.show()\n", + "\n", + "mae_dist = np.abs(res - seq).mean()\n", + "print(f\"MAE distance between original and restored {mae_dist: .1e}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fit & Forecast" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 20/20 [00:27<00:00, 1.40s/it]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAE test loss between original and restored 5.3e-01\n" + ] + } + ], + "source": [ + "horizon = 200\n", + "train, test = seq[:, : - horizon], seq[:, - horizon:]\n", + "\n", + "model = TD(input_dims=train.shape).to(device=device, dtype=torch.float32)\n", + "\n", + "losses = model.fit(train, verbose=True)\n", + "\n", + "res = model.forecast(horizon)\n", + "res = res.cpu().numpy()\n", + "\n", + "plt.plot(range(len(seq) - horizon, len(seq)), test[0])\n", + "plt.plot(range(len(seq) - horizon, len(seq)), res[0])\n", + "plt.legend([\"test\", \"forecast\"])\n", + "plt.show()\n", + "\n", + "mae_dist = np.abs(test - res).mean()\n", + "print(f\"MAE test loss between original and restored {mae_dist: .1e}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.10.11" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +}