{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# AutoEncoding collective variables\n", "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/luigibonati/mlcolvar/blob/main/docs/notebooks/tutorials/cvs_Autoencoder.ipynb)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Import" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/luigi/opt/anaconda3/envs/pytorch13/lib/python3.9/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" ] } ], "source": [ "# Colab setup\n", "import os\n", "\n", "if os.getenv(\"COLAB_RELEASE_TAG\"):\n", " import subprocess\n", " subprocess.run('wget https://raw.githubusercontent.com/luigibonati/mlcolvar/main/colab_setup.sh', shell=True)\n", " cmd = subprocess.run('bash colab_setup.sh TUTORIAL', shell=True, stdout=subprocess.PIPE)\n", " print(cmd.stdout.decode('utf-8'))\n", " \n", "# IMPORT PACKAGES\n", "import torch\n", "import lightning\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# IMPORT HELPER FUNCTIONS\n", "from mlcolvar.utils.plot import muller_brown_potential, plot_isolines_2D, plot_metrics" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Muller-Brown potential (high-temperature)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Load MD data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Class 0 dataframe shape: (5001, 11)\n", "\n", " - Loaded dataframe (5001, 11): ['time', 'p.x', 'p.y', 'p.z', 'ene', 'pot.bias', 'pot.ene_bias', 'lwall.bias', 'lwall.force2', 'uwall.bias', 'uwall.force2']\n", " - Descriptors (5001, 2): ['p.x', 'p.y']\n" ] } ], "source": [ "from mlcolvar.utils.io import create_dataset_from_files\n", "from mlcolvar.data import DictModule\n", "\n", "filenames = [ \"data/muller-brown/unbiased/high-temp/COLVAR\" ]\n", "\n", "# load data into dataset\n", "dataset, df = create_dataset_from_files(filenames,filter_args={'regex':'p.x|p.y'},return_dataframe=True)\n", "\n", "# create datamodule\n", "datamodule = DictModule(dataset,lengths=[0.8,0.2])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/luigi/opt/anaconda3/envs/pytorch13/lib/python3.9/site-packages/pandas/plotting/_matplotlib/core.py:1259: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", " scatter = ax.scatter(\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(figsize=(5,4),dpi=100)\n", "# ploy MB isolines\n", "plot_isolines_2D(muller_brown_potential,mode='contour',levels=np.linspace(0,24,12),ax=ax)\n", "# plot points colored according to labels\n", "df.plot.scatter('p.x','p.y',s=1,cmap='fessa',ax=ax)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Define model" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AutoEncoderCV(\n", " (normIn): Normalization(in_features=2, out_features=2, mode=mean_std)\n", " (encoder): FeedForward(\n", " (nn): Sequential(\n", " (0): Linear(in_features=2, out_features=10, bias=True)\n", " (1): Shifted_Softplus(beta=1, threshold=20)\n", " (2): Linear(in_features=10, out_features=10, bias=True)\n", " (3): Shifted_Softplus(beta=1, threshold=20)\n", " (4): Linear(in_features=10, out_features=1, bias=True)\n", " )\n", " )\n", " (decoder): FeedForward(\n", " (nn): Sequential(\n", " (0): Linear(in_features=1, out_features=10, bias=True)\n", " (1): Shifted_Softplus(beta=1, threshold=20)\n", " (2): Linear(in_features=10, out_features=10, bias=True)\n", " (3): Shifted_Softplus(beta=1, threshold=20)\n", " (4): Linear(in_features=10, out_features=2, bias=True)\n", " )\n", " )\n", ")" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from mlcolvar.cvs import AutoEncoderCV\n", "\n", "n_components = 1\n", "encoder_layers = [2,10,10,n_components]\n", "nn_args = {'activation': 'shifted_softplus'}\n", "options= {'encoder': nn_args, 'decoder': nn_args }\n", "\n", "model = AutoEncoderCV (encoder_layers, options=options )\n", "model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "VAE" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "from mlcolvar.cvs import VariationalAutoEncoderCV\n", "\n", "n_components = 1\n", "encoder_layers = [2,10,10]\n", "decoder_layers = [2]\n", "nn_args = {'activation': 'elu'}\n", "options= {'encoder': nn_args, 'decoder': nn_args }\n", "\n", "model = VariationalAutoEncoderCV(n_cvs = n_components, encoder_layers = encoder_layers, decoder_layers= decoder_layers, options=options )\n", "model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Define Trainer & Fit" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: False, used: False\n", "TPU available: False, using: 0 TPU cores\n", "IPU available: False, using: 0 IPUs\n", "HPU available: False, using: 0 HPUs\n", "/Users/luigi/opt/anaconda3/envs/pytorch13/lib/python3.9/site-packages/lightning/trainer/connectors/logger_connector/logger_connector.py:67: UserWarning: Starting from v1.9.0, `tensorboardX` has been removed as a dependency of the `lightning` package, due to potential conflicts with other packages in the ML ecosystem. For this reason, `logger=True` will use `CSVLogger` as the default logger, unless the `tensorboard` or `tensorboardX` packages are found. Please `pip install lightning[extra]` or one of them to enable TensorBoard support by default\n", " warning_cache.warn(\n", "/Users/luigi/opt/anaconda3/envs/pytorch13/lib/python3.9/site-packages/lightning/loops/utilities.py:70: PossibleUserWarning: `max_epochs` was not set. Setting it to 1000 epochs. To train without an epoch limit, set `max_epochs=-1`.\n", " rank_zero_warn(\n", "\n", " | Name | Type | Params | In sizes | Out sizes\n", "-----------------------------------------------------------------\n", "0 | normIn | Normalization | 0 | [2] | [2] \n", "1 | encoder | FeedForward | 151 | [2] | [1] \n", "2 | decoder | FeedForward | 152 | ? | ? \n", "-----------------------------------------------------------------\n", "303 Trainable params\n", "0 Non-trainable params\n", "303 Total params\n", "0.001 Total estimated model params size (MB)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " " ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/luigi/opt/anaconda3/envs/pytorch13/lib/python3.9/site-packages/lightning/loops/fit_loop.py:280: PossibleUserWarning: The number of training batches (1) is smaller than the logging interval Trainer(log_every_n_steps=50). Set a lower value for log_every_n_steps if you want to see logs for the training epoch.\n", " rank_zero_warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 8.18it/s, v_num=3]" ] }, { "name": "stderr", "output_type": "stream", "text": [ "`Trainer.fit` stopped: `max_epochs=1000` reached.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 6.24it/s, v_num=3]\n" ] } ], "source": [ "from lightning.pytorch.callbacks.early_stopping import EarlyStopping\n", "from mlcolvar.utils.trainer import MetricsCallback\n", "\n", "# define callbacks\n", "metrics = MetricsCallback()\n", "early_stopping = EarlyStopping(monitor=\"valid_loss\", min_delta=1e-5, patience=10)\n", "\n", "# define trainer\n", "trainer = lightning.Trainer(callbacks=[metrics, early_stopping],\n", " max_epochs=None, logger=None, enable_checkpointing=False)\n", "\n", "# fit\n", "trainer.fit( model, datamodule )" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Learning curve" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.eval()\n", "\n", "ax = plot_metrics(metrics.metrics, \n", " keys=['train_loss_epoch','valid_loss'],\n", " linestyles=['-.','-'], colors=['fessa1','fessa5'],\n", " yscale='log')\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Normalize output after training" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from mlcolvar.core.transform import Normalization\n", "from mlcolvar.core.transform.utils import Statistics\n", "\n", "X = dataset[:]['data']\n", "with torch.no_grad():\n", " model.postprocessing = None # reset \n", " s = model(torch.Tensor(X))\n", "\n", "norm = Normalization(n_components, mode='min_max', stats = Statistics(s) ) \n", "model.postprocessing = norm\n", "#print(Statistics(s))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis of the CV" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "CVs isolines" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axs = plt.subplots( 1, n_components, figsize=(5*n_components,4) )\n", "if n_components == 1:\n", " axs = [axs]\n", "for i in range(n_components):\n", " ax = axs[i]\n", " plot_isolines_2D(muller_brown_potential,levels=np.linspace(0,24,12),mode='contour',ax=ax)\n", " plot_isolines_2D(model, component=i, levels=25, ax=ax)\n", " plot_isolines_2D(model, component=i, mode='contour', levels=25, ax=ax)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "CV histogram" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axs = plt.subplots(1,n_components,figsize=(5*n_components,4))\n", "if n_components == 1:\n", " axs = [axs]\n", "\n", "X = dataset[:]['data']\n", "with torch.no_grad():\n", " s = model(torch.Tensor(X)).numpy()\n", "\n", "for i,ax in enumerate(axs):\n", " ax.hist(s[:,i],bins=100)\n", " ax.set_xlabel(f'CV {i}')\n", " ax.set_ylabel('Histogram')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Free energy profile" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlcolvar.utils.fes import compute_fes\n", "\n", "fig,axs = plt.subplots(1,n_components,figsize=(5*n_components,4))\n", "if n_components == 1:\n", " axs = [axs]\n", "\n", "X = dataset[:]['data']\n", "model.eval()\n", "with torch.no_grad():\n", " s = model(torch.Tensor(X)).numpy()\n", "\n", "for i,ax in enumerate(axs):\n", " fes,grid,bounds,std = compute_fes(s[:,i], kbt=2.5, plot=True, scale_by='range', bandwidth=0.02, blocks=2, plot_max_fes=20, ax=ax )\n", " ax.set_xlabel(f'CV {i}')" ] } ], "metadata": { "kernelspec": { "display_name": "pytorch", "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": "3.10.8" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "1cbeac1d7079eaeba64f3210ccac5ee24400128e300a45ae35eee837885b08b3" } } }, "nbformat": 4, "nbformat_minor": 2 }