{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating the Dimension Reduction Ensemble Similarity between ensembles\n", "\n", "Here we compare the conformational ensembles of proteins in four trajectories, using the dimension reduction ensemble similarity method.\n", "\n", "**Last updated:** December 2022 with MDAnalysis 2.4.0-dev0\n", "\n", "**Last updated:** December 2022\n", "\n", "**Minimum version of MDAnalysis:** 1.0.0\n", "\n", "**Packages required:**\n", " \n", "* MDAnalysis (Michaud-Agrawal *et al.*, 2011, Gowers *et al.*, 2016)\n", "* MDAnalysisTests\n", "* [scikit-learn](https://scikit-learn.org/stable/)\n", " \n", "**Optional packages for visualisation:**\n", "\n", "* [matplotlib](https://matplotlib.org)\n", "\n", "\n", "
\n", " \n", "**Note**\n", "\n", "The metrics and methods in the `encore` module are from (Tiberti *et al.*, 2015). Please cite them when using the ``MDAnalysis.analysis.encore`` module in published work.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:02.786638Z", "start_time": "2020-09-25T05:44:48.314302Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:06.881320Z", "iopub.status.busy": "2021-05-19T06:00:06.880313Z", "iopub.status.idle": "2021-05-19T06:00:08.072432Z", "shell.execute_reply": "2021-05-19T06:00:08.072918Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "# This import registers a 3D projection, but is otherwise unused.\n", "from mpl_toolkits.mplot3d import Axes3D \n", "%matplotlib inline\n", "\n", "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import (PSF, DCD, DCD2, GRO, XTC, \n", " PSF_NAMD_GBIS, DCD_NAMD_GBIS)\n", "from MDAnalysis.analysis import encore\n", "from MDAnalysis.analysis.encore.dimensionality_reduction import DimensionalityReductionMethod as drm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The test files we will be working with here feature adenylate kinase (AdK), a phosophotransferase enzyme. (Beckstein *et al.*, 2009)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:04.030896Z", "start_time": "2020-09-25T05:45:03.770613Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:08.077053Z", "iopub.status.busy": "2021-05-19T06:00:08.076510Z", "iopub.status.idle": "2021-05-19T06:00:08.484693Z", "shell.execute_reply": "2021-05-19T06:00:08.485506Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/pbarletta/mambaforge/envs/mda-user-guide/lib/python3.9/site-packages/MDAnalysis/coordinates/DCD.py:165: DeprecationWarning: DCDReader currently makes independent timesteps by copying self.ts while other readers update self.ts inplace. This behaviour will be changed in 3.0 to be the same as other readers\n", " warnings.warn(\"DCDReader currently makes independent timesteps\"\n" ] } ], "source": [ "u1 = mda.Universe(PSF, DCD)\n", "u2 = mda.Universe(PSF, DCD2)\n", "u3 = mda.Universe(PSF_NAMD_GBIS, DCD_NAMD_GBIS)\n", "\n", "labels = ['DCD', 'DCD2', 'NAMD']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trajectories can have different lengths, as seen below." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:04.880256Z", "start_time": "2020-09-25T05:45:04.874762Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:08.491135Z", "iopub.status.busy": "2021-05-19T06:00:08.490196Z", "iopub.status.idle": "2021-05-19T06:00:08.493573Z", "shell.execute_reply": "2021-05-19T06:00:08.493950Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "98 102 100\n" ] } ], "source": [ "print(len(u1.trajectory), len(u2.trajectory), len(u3.trajectory))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating dimension reduction similarity with default settings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dimension reduction similarity method projects ensembles onto a lower-dimensional space using your chosen dimension reduction algorithm (by default: stochastic proximity embedding). A probability density function is estimated with [Gaussian-based kernel-density estimation](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.gaussian_kde.html), using Scott's rule to select the bandwidth.\n", "\n", "The similarity of each probability density function is compared using the Jensen-Shannon divergence. This divergence has an upper bound of $\\ln{(2)}$ and a lower bound of 0.0. Normally, $\\ln{(2)}$ represents no similarity between the ensembles, and 0.0 represents identical conformational ensembles. However, due to the stochastic nature of the dimension reduction, two identical symbols will not necessarily result in an exact divergence of 0.0. In addition, calculating the similarity with `dres()` twice will result in similar but not identical numbers.\n", "\n", "You do not need to align your trajectories, as the function will align it for you (along your `select`ion atoms, which are `select='name CA'` by default). The function we use is `dres` ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/encore/similarity.html#MDAnalysis.analysis.encore.similarity.dres))." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:18.839369Z", "start_time": "2020-09-25T05:45:06.267428Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:08.498333Z", "iopub.status.busy": "2021-05-19T06:00:08.497787Z", "iopub.status.idle": "2021-05-19T06:00:24.011315Z", "shell.execute_reply": "2021-05-19T06:00:24.011935Z" }, "tags": [] }, "outputs": [], "source": [ "dres0, details0 = encore.dres([u1, u2, u3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`encore.dres` returns two outputs. `dres0` is the similarity matrix for the ensemble of trajectories." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:22.215208Z", "start_time": "2020-09-25T05:45:22.205167Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.017757Z", "iopub.status.busy": "2021-05-19T06:00:24.016938Z", "iopub.status.idle": "2021-05-19T06:00:24.019497Z", "shell.execute_reply": "2021-05-19T06:00:24.019879Z" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([[0. , 0.68915346, 0.69304598],\n", " [0.68915346, 0. , 0.65890917],\n", " [0.69304598, 0.65890917, 0. ]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dres0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`details0` contains information on the dimensionality reduction, as well as the associated reduced coordinates. Each frame is in the conformational ensemble is reduced to 3 dimensions." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:28.395157Z", "start_time": "2020-09-25T05:45:28.390077Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.023682Z", "iopub.status.busy": "2021-05-19T06:00:24.023139Z", "iopub.status.idle": "2021-05-19T06:00:24.025461Z", "shell.execute_reply": "2021-05-19T06:00:24.025824Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(3, 300)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reduced = details0['reduced_coordinates'][0]\n", "reduced.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with the other ensemble similarity methods, we can plot a flat matrix of similarity values." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:50.363936Z", "start_time": "2020-09-25T05:45:50.193591Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.054640Z", "iopub.status.busy": "2021-05-19T06:00:24.053951Z", "iopub.status.idle": "2021-05-19T06:00:24.151384Z", "shell.execute_reply": "2021-05-19T06:00:24.152022Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig0, ax0 = plt.subplots()\n", "im0 = plt.imshow(dres0, vmax=np.log(2), vmin=0)\n", "plt.xticks(np.arange(3), labels)\n", "plt.yticks(np.arange(3), labels)\n", "plt.title('Dimension reduction ensemble similarity')\n", "cbar0 = fig0.colorbar(im0)\n", "cbar0.set_label('Jensen-Shannon divergence')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the reduced coordinates to directly visualise where each trajectory lies in the lower-dimensional space.\n", "\n", "For the plotting of the reduced dimensions, we define a helper function to make it easier to partition the data." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:52.491727Z", "start_time": "2020-09-25T05:45:52.487124Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.156522Z", "iopub.status.busy": "2021-05-19T06:00:24.155878Z", "iopub.status.idle": "2021-05-19T06:00:24.157706Z", "shell.execute_reply": "2021-05-19T06:00:24.158114Z" } }, "outputs": [], "source": [ "def zip_data_with_labels(reduced):\n", " rd_dcd = reduced[:, :98] # first 98 frames\n", " rd_dcd2 = reduced[:, 98:(98+102)] # next 102 frames\n", " rd_namd = reduced[:,(98+102):] # last 100 frames\n", " return zip([rd_dcd, rd_dcd2, rd_namd], labels)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:53.072538Z", "start_time": "2020-09-25T05:45:52.879726Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.178746Z", "iopub.status.busy": "2021-05-19T06:00:24.175595Z", "iopub.status.idle": "2021-05-19T06:00:24.275066Z", "shell.execute_reply": "2021-05-19T06:00:24.275432Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rdfig0 = plt.figure()\n", "rdax0 = rdfig0.add_subplot(111, projection='3d')\n", "for data, label in zip_data_with_labels(reduced):\n", " rdax0.scatter(*data, label=label)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating dimension reduction similarity with one method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimension reduction methods should be subclasses of `analysis.encore.dimensionality_reduction.DimensionalityReductionMethod`, initialised with your chosen parameters. \n", "\n", "Below, we set up stochastic proximity embedding scheme, which maps data to lower dimensions by iteratively adjusting the distance between a pair of points on the lower-dimensional map to match their full-dimensional proximity. The learning rate controls the magnitude of these adjustments, and decreases over the mapping from `max_lam` (default: 2.0) to `min_lam` (default: 0.1) to avoid numerical oscillation. The learning rate is updated every cycle for `ncycle`s, over which `nstep` adjustments are performed.\n", "\n", "The number of dimensions to map to is controlled by the keyword `dimension` (default: 2)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:45:54.583864Z", "start_time": "2020-09-25T05:45:54.579746Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.279049Z", "iopub.status.busy": "2021-05-19T06:00:24.278415Z", "iopub.status.idle": "2021-05-19T06:00:24.280192Z", "shell.execute_reply": "2021-05-19T06:00:24.280691Z" } }, "outputs": [], "source": [ "dim_red_method = drm.StochasticProximityEmbeddingNative(dimension=3,\n", " min_lam=0.2,\n", " max_lam=1.0,\n", " ncycle=50,\n", " nstep=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also control the number of samples `nsamples` drawn from the ensembles used to calculate the Jensen-Shannon divergence.\n", "\n", "By default, MDAnalysis will run the job on one core. If it is taking too long and you have the resources, you can increase the number of cores used." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:15.038125Z", "start_time": "2020-09-25T05:45:58.170234Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:24.284097Z", "iopub.status.busy": "2021-05-19T06:00:24.283537Z", "iopub.status.idle": "2021-05-19T06:00:38.823133Z", "shell.execute_reply": "2021-05-19T06:00:38.823635Z" } }, "outputs": [], "source": [ "dres1, details1 = encore.dres([u1, u2, u3],\n", " select='name CA',\n", " dimensionality_reduction_method=dim_red_method,\n", " nsamples=1000,\n", " ncores=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reducing the learning rate, number of cycles, and number of steps for the stochastic proximity embedding seems to have left our trajectories closer on the lower-dimensional map." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:15.164726Z", "start_time": "2020-09-25T05:46:15.040249Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:38.856904Z", "iopub.status.busy": "2021-05-19T06:00:38.856153Z", "iopub.status.idle": "2021-05-19T06:00:38.942546Z", "shell.execute_reply": "2021-05-19T06:00:38.943132Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig1, ax1 = plt.subplots()\n", "im1 = plt.imshow(dres1, vmax=np.log(2), vmin=0)\n", "plt.xticks(np.arange(3), labels)\n", "plt.yticks(np.arange(3), labels)\n", "plt.title('Dimension reduction ensemble similarity')\n", "cbar1 = fig1.colorbar(im1)\n", "cbar1.set_label('Jensen-Shannon divergence')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:15.356420Z", "start_time": "2020-09-25T05:46:15.166979Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:38.970010Z", "iopub.status.busy": "2021-05-19T06:00:38.963707Z", "iopub.status.idle": "2021-05-19T06:00:39.078026Z", "shell.execute_reply": "2021-05-19T06:00:39.078392Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reduced1 = details1['reduced_coordinates'][0]\n", "\n", "rdfig1 = plt.figure()\n", "rdax1 = rdfig1.add_subplot(111, projection='3d')\n", "for data, label in zip_data_with_labels(reduced1):\n", " rdax1.scatter(*data, label=label)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating dimension reduction similarity with multiple methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may want to try different dimension reduction methods, or use different parameters within the methods. `encore.dres` allows you to pass a list of `dimensionality_reduction_method`s to be applied.\n", "\n", "
\n", " \n", "**Note**\n", "\n", "To use the other ENCORE methods available, you need to install [scikit-learn](https://scikit-learn.org/stable/).\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trying out different dimension reduction parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal component analysis uses singular value decomposition to project data onto a lower dimensional space. [(See the scikit-learn user guide for more information.)](https://scikit-learn.org/stable/modules/decomposition.html#pca)\n", "\n", "The method provided by MDAnalysis.encore accepts any of the keyword arguments of [sklearn.decomposition.PCA](https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html) *except* `n_components`. Instead, use `dimension` to specify how many components to keep." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:15.363617Z", "start_time": "2020-09-25T05:46:15.358770Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.082218Z", "iopub.status.busy": "2021-05-19T06:00:39.081719Z", "iopub.status.idle": "2021-05-19T06:00:39.083899Z", "shell.execute_reply": "2021-05-19T06:00:39.084316Z" } }, "outputs": [], "source": [ "pc1 = drm.PrincipalComponentAnalysis(dimension=1,\n", " svd_solver='auto')\n", "pc2 = drm.PrincipalComponentAnalysis(dimension=2,\n", " svd_solver='auto')\n", "pc3 = drm.PrincipalComponentAnalysis(dimension=3,\n", " svd_solver='auto')\n", "pc4 = drm.PrincipalComponentAnalysis(dimension=4,\n", " svd_solver='auto')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we pass a list of clustering methods to `encore.dres`, the results get saved in `dres2` and `details2` in order." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:19.006309Z", "start_time": "2020-09-25T05:46:15.366299Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.088976Z", "iopub.status.busy": "2021-05-19T06:00:39.088150Z", "iopub.status.idle": "2021-05-19T06:00:39.639886Z", "shell.execute_reply": "2021-05-19T06:00:39.640376Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4 4\n" ] } ], "source": [ "dres2, details2 = encore.dres([u1, u2, u3],\n", " select='name CA',\n", " dimensionality_reduction_method=[pc1, pc2, pc3, pc4],\n", " ncores=4)\n", "print(len(dres2), len(details2['reduced_coordinates']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:19.278170Z", "start_time": "2020-09-25T05:46:19.008083Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.652901Z", "iopub.status.busy": "2021-05-19T06:00:39.651599Z", "iopub.status.idle": "2021-05-19T06:00:39.877708Z", "shell.execute_reply": "2021-05-19T06:00:39.878291Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "titles = ['Dim = {}'.format(n) for n in range(1, 5)]\n", "fig2, axes = plt.subplots(1, 4, sharey=True, figsize=(15, 3))\n", "for i, (data, title) in enumerate(zip(dres2, titles)):\n", " imi = axes[i].imshow(data, vmax=np.log(2), vmin=0)\n", " axes[i].set_xticks(np.arange(3))\n", " axes[i].set_xticklabels(labels)\n", " axes[i].set_title(title)\n", "plt.yticks(np.arange(3), labels)\n", "cbar2 = fig2.colorbar(imi, ax=axes.ravel().tolist())\n", "cbar2.set_label('Jensen-Shannon divergence')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, adding more dimensions to the principal component analysis has little difference in how similar each ensemble is over its resulting probability distribution (i.e. not similar at all!)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:19.283763Z", "start_time": "2020-09-25T05:46:19.280140Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.882023Z", "iopub.status.busy": "2021-05-19T06:00:39.881458Z", "iopub.status.idle": "2021-05-19T06:00:39.883385Z", "shell.execute_reply": "2021-05-19T06:00:39.883838Z" } }, "outputs": [], "source": [ "rd_p1, rd_p2, rd_p3, _ = details2['reduced_coordinates']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we plot how the trajectories vary on one dimension with a violin plot, we can see that DCD is indeed very distant from DCD2 and NAMD on the first principal component." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:21.066390Z", "start_time": "2020-09-25T05:46:20.954724Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.891861Z", "iopub.status.busy": "2021-05-19T06:00:39.887760Z", "iopub.status.idle": "2021-05-19T06:00:39.967652Z", "shell.execute_reply": "2021-05-19T06:00:39.968250Z" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rd_p1_fig, rd_p1_ax = plt.subplots(figsize=(4, 8))\n", "split_data = [x[0].reshape((-1,)) for x in zip_data_with_labels(rd_p1)]\n", "rd_p1_ax.violinplot(split_data, showextrema=False)\n", "rd_p1_ax.set_xticks(np.arange(1, 4))\n", "rd_p1_ax.set_xticklabels(labels);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expanding out to the second principal component shows that DCD2 and NAMD mainly vary on the second axis." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:22.711419Z", "start_time": "2020-09-25T05:46:22.570112Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:39.986837Z", "iopub.status.busy": "2021-05-19T06:00:39.986321Z", "iopub.status.idle": "2021-05-19T06:00:40.086598Z", "shell.execute_reply": "2021-05-19T06:00:40.086980Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rd_p2_fig, rd_p2_ax = plt.subplots()\n", "for data, label in zip_data_with_labels(rd_p2):\n", " rd_p2_ax.scatter(*data, label=label)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting over the top three principal components gives quite a different result to the reduced coordinates given by stochastic proximity embedding." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:46:24.217241Z", "start_time": "2020-09-25T05:46:24.022300Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:40.096943Z", "iopub.status.busy": "2021-05-19T06:00:40.096283Z", "iopub.status.idle": "2021-05-19T06:00:40.226034Z", "shell.execute_reply": "2021-05-19T06:00:40.226379Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rd_p3_fig = plt.figure(figsize=(8, 6))\n", "rd_p3_ax = rd_p3_fig.add_subplot(111, projection='3d')\n", "for data, label in zip_data_with_labels(rd_p3):\n", " rd_p3_ax.scatter(*data, label=label)\n", "rd_p3_ax.set_xlabel('PC 1')\n", "rd_p3_ax.set_ylabel('PC 2')\n", "rd_p3_ax.set_zlabel('PC 3')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating the error in a dimension reduction ensemble similarity analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`encore.dres` also allows for error estimation using a bootstrapping method. This returns the average Jensen-Shannon divergence, and standard deviation over the samples. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:47:03.114880Z", "start_time": "2020-09-25T05:46:27.863556Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:00:40.230299Z", "iopub.status.busy": "2021-05-19T06:00:40.229747Z", "iopub.status.idle": "2021-05-19T06:01:08.831730Z", "shell.execute_reply": "2021-05-19T06:01:08.832264Z" } }, "outputs": [], "source": [ "avgs, stds = encore.dres([u1, u2, u3],\n", " select='name CA',\n", " dimensionality_reduction_method=dim_red_method,\n", " estimate_error=True,\n", " ncores=4)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:47:03.121704Z", "start_time": "2020-09-25T05:47:03.117153Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:01:08.837023Z", "iopub.status.busy": "2021-05-19T06:01:08.836407Z", "iopub.status.idle": "2021-05-19T06:01:08.838722Z", "shell.execute_reply": "2021-05-19T06:01:08.839117Z" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([[0. , 0.24363216, 0.59912028],\n", " [0.24363216, 0. , 0.59307327],\n", " [0.59912028, 0.59307327, 0. ]])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avgs" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2020-09-25T05:47:03.128656Z", "start_time": "2020-09-25T05:47:03.123726Z" }, "execution": { "iopub.execute_input": "2021-05-19T06:01:08.842891Z", "iopub.status.busy": "2021-05-19T06:01:08.842304Z", "iopub.status.idle": "2021-05-19T06:01:08.844397Z", "shell.execute_reply": "2021-05-19T06:01:08.844736Z" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([[0. , 0.0701954 , 0.04615557],\n", " [0.0701954 , 0. , 0.05295801],\n", " [0.04615557, 0.05295801, 0. ]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Oliver Beckstein, Elizabeth J. Denning, Juan R. Perilla, and Thomas B. Woolf.\n", "Zipping and Unzipping of Adenylate Kinase: Atomistic Insights into the Ensemble of OpenClosed Transitions.\n", "Journal of Molecular Biology, 394(1):160–176, November 2009.\n", "00107.\n", "URL: https://linkinghub.elsevier.com/retrieve/pii/S0022283609011164, doi:10.1016/j.jmb.2009.09.009.\n", "\n", "[2] Richard J. Gowers, Max Linke, Jonathan Barnoud, Tyler J. E. Reddy, Manuel N. Melo, Sean L. Seyler, Jan Domański, David L. Dotson, Sébastien Buchoux, Ian M. Kenney, and Oliver Beckstein.\n", "MDAnalysis: A Python Package for the Rapid Analysis of Molecular Dynamics Simulations.\n", "Proceedings of the 15th Python in Science Conference, pages 98–105, 2016.\n", "00152.\n", "URL: https://conference.scipy.org/proceedings/scipy2016/oliver_beckstein.html, doi:10.25080/Majora-629e541a-00e.\n", "\n", "[3] Naveen Michaud-Agrawal, Elizabeth J. Denning, Thomas B. Woolf, and Oliver Beckstein.\n", "MDAnalysis: A toolkit for the analysis of molecular dynamics simulations.\n", "Journal of Computational Chemistry, 32(10):2319–2327, July 2011.\n", "00778.\n", "URL: http://doi.wiley.com/10.1002/jcc.21787, doi:10.1002/jcc.21787.\n", "\n", "[4] Matteo Tiberti, Elena Papaleo, Tone Bengtsen, Wouter Boomsma, and Kresten Lindorff-Larsen.\n", "ENCORE: Software for Quantitative Ensemble Comparison.\n", "PLOS Computational Biology, 11(10):e1004415, October 2015.\n", "00031.\n", "URL: https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1004415, doi:10.1371/journal.pcbi.1004415." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.15 ('mda-user-guide')", "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": "3.9.15" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "vscode": { "interpreter": { "hash": "7b52aa17ef4e9358c0e91ff3f0bf50d10667bb8b55636d4b9fb967a2ff94bd8c" } } }, "nbformat": 4, "nbformat_minor": 2 }