{ "cells": [ { "cell_type": "markdown", "id": "9c51f457", "metadata": {}, "source": [ "# Time Series Imputation\n", "\n", "In this tutorial, we will demonstrate how to impute missing values with deep generative model. \n", "\n", "## Problem setting\n", "Given $\\mathbf{x}_{\\text{obs}} \\in \\mathbb{R}^{T \\times D}$, which contains `NaN` values, we are interested in the conditional distribution, i.e. $p(\\mathbf{x}_{\\text{target}} \\mid \\mathbf{x}_{\\text{obs}})$. From this distribution, we can draw possible full time series $\\hat{\\mathbf{x}}_{\\text{target}} \\in \\mathbb{R}^{T \\times D}$." ] }, { "cell_type": "markdown", "id": "ec8c3737", "metadata": {}, "source": [ "## Implementation\n", "### 1. import modules" ] }, { "cell_type": "code", "execution_count": 1, "id": "6c92e3d3", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/wcx/anaconda3/envs/gents/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n", "CUDA extension for cauchy multiplication not found. Install by going to extensions/cauchy/ and running `python setup.py install`. This should speed up end-to-end training by 10-50%\n", "Falling back on slow Cauchy kernel. Install at least one of pykeops or the CUDA extension for efficiency.\n", "Falling back on slow Vandermonde kernel. Install pykeops for improved memory efficiency.\n" ] } ], "source": [ "import torch\n", "from gents.dataset import Spiral2D\n", "from gents.model import VanillaDDPM\n", "from gents.evaluation import imputation_visual, crps\n", "from lightning import Trainer" ] }, { "cell_type": "markdown", "id": "62989ffd", "metadata": {}, "source": [ "### 2. setup datamodule and model\n", "Here, we set $T=32$ for an example. To manually introduce missing values, we need to set `condition='impute'` and `missing_rate=0.2` (for example). \n", "\n", "In this way, for each batch, the condition `batch['c']` is tensors with `NaN`, and the target is `batch['seq']`." ] }, { "cell_type": "code", "execution_count": 2, "id": "11d462e6", "metadata": {}, "outputs": [], "source": [ "dm = Spiral2D(\n", " seq_len=32,\n", " batch_size=64,\n", " data_dir=\"../data\",\n", " missing_rate=0.2,\n", " condition=\"impute\",\n", ")\n", "model = VanillaDDPM(seq_len=dm.seq_len, seq_dim=dm.seq_dim, condition=\"impute\", pred_x0=False)" ] }, { "cell_type": "code", "execution_count": 3, "id": "be0f5219", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (cuda), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "You are using a CUDA device ('NVIDIA GeForce RTX 3080 Ti') that has Tensor Cores. To properly utilize them, you should set `torch.set_float32_matmul_precision('medium' | 'high')` which will trade-off precision for performance. For more details, read https://pytorch.org/docs/stable/generated/torch.set_float32_matmul_precision.html#torch.set_float32_matmul_precision\n", "LOCAL_RANK: 0 - CUDA_VISIBLE_DEVICES: [0,1,2,3]\n", "\n", " | Name | Type | Params | Mode \n", "------------------------------------------\n", "0 | backbone | DiT | 1.2 M | train\n", "------------------------------------------\n", "1.2 M Trainable params\n", "512 Non-trainable params\n", "1.2 M Total params\n", "4.734 Total estimated model params size (MB)\n", "85 Modules in train mode\n", "0 Modules in eval mode\n", "`Trainer.fit` stopped: `max_epochs=300` reached.\n" ] } ], "source": [ "trainer = Trainer(max_epochs=300, devices=[0], enable_progress_bar=False)\n", "trainer.fit(model, dm)" ] }, { "cell_type": "code", "execution_count": 4, "id": "dfdbeefb", "metadata": {}, "outputs": [], "source": [ "# testing\n", "dm.setup(\"test\")\n", "real_data = torch.cat([batch[\"seq\"] for batch in dm.test_dataloader()])\n", "cond_data = torch.cat([batch[\"c\"] for batch in dm.test_dataloader()])\n", "\n", "gen_data = model.sample(\n", " n_sample=10,\n", " condition=cond_data,\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "f6b5f9f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imputation_visual(\n", " real_data=real_data,\n", " gen_data=gen_data,\n", " cond_data=cond_data,\n", " data_mask=torch.ones_like(real_data).bool(),\n", " # uncomment the following line to save the plot\n", " # save_root='./predict.png'\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "gents", "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": "3.10.19" } }, "nbformat": 4, "nbformat_minor": 5 }