{ "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/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 behavior will be changed in 3.0 to be the same as other readers. Read more at https://github.com/MDAnalysis/mdanalysis/issues/3889 to learn if this change in behavior might affect you.\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. , 0.68134177, 0.68452079],\n", " [0.68134177, 0. , 0.66369356],\n", " [0.68452079, 0.66369356, 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": 24, "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": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "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": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "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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lpKQoMjJSGzZsUFhYmCQpJSXF4TyXG2+8UQkJCXryySfVpk0bVa9eXQ8++KBmzpxZ6L18fX0VHx+vv/3tbzp48KAqVqyo5s2b2+/lLooxAAAAAADAVFe+Kamwce4YPXq0Ro8ene9ncXFxefoaN26cZ2uTKxo2bKiGDRu6ff3VKMYAAAAAAABT2QyLbEbhW5CcGVOarFar4uLi9PHHHystLU02m83h823btrkVl2IMAAAAAAAwVa7ho9+MwksOuUYJTKYIxo0bp7i4ON13332KjIy85uuzXUUxBgAAAAAAmMoqi6xOHM7rzJjS9N577+n9999X9+7dTY1LMQYAAAAAAJjKZnjJ5sThvM6MKU2+vr6KiIgwPa5nPzUAAAAAAChzrPpjdUzBzbM99dRTmj9/vgzD3P1UrIwBAAAAAACmKi8rY3bv3q3t27dr48aNatasmSpUqODw+dq1a92KSzEGAAAAAACYymp4yepEocWZMaWpSpUq6tOnj+lxi7UYM3ToUL311luXbuTjo2rVqqlFixZ66KGHNHToUHl5/fGl79+/X7NmzdLOnTuVmZmpunXr6s4779TTTz+thg0bKikpSeHh4fbxN954o+rWrau77rpL48ePV4MGDYrzUQAAAAAAgJMMWWRz4nBew8MP8F2+fHmxxC32EtQ999yjlJQUJSUlaePGjercubPGjRunHj16KDc3V5L00UcfqV27dsrOztaKFSt0+PBhvfPOOwoMDNTzzz/vEG/r1q1KSUnRwYMHNWvWLB0+fFgtW7bUxx9/XNyPAgAAAAAAnHB5ZYwzzdPl5uZq69atWrRokc6dOydJOnPmjH755Re3Yxb7NiU/Pz/VqlVLklSnTh3dcsstateunbp27aq4uDgNHDhQjz76qLp3764PPvjAfl14eLhuu+02nT171iFe9erV7fHq16+vnj17qmvXrho+fLiOHz8ub2/v4n4kAAAAAABQAJthkc0ofNWLM2NK08mTJ3XPPfcoOTlZ2dnZio6OVuXKlTVv3jxdvHhRb7zxhltxS+XMmC5duqhly5Zau3atqlevrvT0dE2ePDnfsVWqVCkwlpeXl8aNG6c+ffpo7969atu2bZ4x2dnZys7Otv+clZVVpPkDKB3kMlA+kMtA2UceAyiMVV6yOrEZx5kxpWncuHFq06aNDh48qOrVq9v7+/TpoxEjRrgdt9SeunHjxkpKStLRo0ftPxclliQlJSXl+/ns2bMVGBhob6GhoW7fC0DpIZeB8oFcBso+8hhAYXINb6ebJ9u9e7f+/Oc/y9fX16E/LCxMp0+fdjtuqRVjDMOQxWIx5V3dl2NYLPkvb5o6daoyMzPt7dSpU0W+J4CSRy4D5QO5DJR95DGAwlgNi9PNk9lsNlmt1jz933//vSpXrux23FJ7tfXhw4cVHh6uhg0bSpK++eYbtW/f3u1YkhzetnQlPz8/+fn5uTdRAB6DXAbKB3IZKPvIYwCFKS9nxkRHRys2NlaLFy+WdGkRyC+//KJp06ape/fubsctlZUx27Zt06FDh9S3b1/FxMQoKChI8+bNy3fs1Qf4Xs1ms+nVV19VeHi4WrduXQyzBQAAAAAArjAML9mcaIaHv03p73//uz755BM1bdpUFy9e1MCBA1WvXj2dPn1ac+fOdTtusa+Myc7OVmpqqqxWq3744Qdt2rRJs2fPVo8ePTR48GB5e3tryZIl6tevn+6//36NHTtWERERSk9P1/vvv6/k5GS999579ngZGRlKTU3VhQsX9PXXXys2Nlb//e9/tX79et6kBAAAAACAB7DKIqsKX/XizJjSVLt2bR04cEArV67Uvn37ZLPZNHz4cD388MOqWLGi23GLvRizadMmhYSEyMfHR1WrVlXLli316quvasiQIfLyulQB69Wrl/bs2aPZs2dr4MCBysrKUmhoqLp06aKZM2c6xOvWrZskqVKlSgoLC1Pnzp21ePFiRUREFPejAAAAAAAAJ9gM57Yg2Yp+jGyxq1ixooYNG6Zhw4aZFrNYizFxcXGKi4tzamybNm20Zs2aa35er149Uw77BQAAAAAAxevyNiRnxnmyf/3rX/n2WywW+fv7KyIi4prn1xak1A7wBQAAAAAA5ZNNFtmc2ILkzJjS1Lt373zfBH25z2Kx6I477tCHH36oqlWrOh3Xs0tQAAAAAACgzCkvr7ZOSEjQrbfeqoSEBGVmZiozM1MJCQlq27atPvroI+3cuVMZGRmaNGmSS3FZGQMAAAAAAEyVa3jLy1b4S3ZyDc9+Ec+4ceO0ePFidejQwd7XtWtX+fv76/HHH9f//vc/xcbGunyeDMUYAAAAAABgKsPJbUqGh29TOn78uAICAvL0BwQE6LvvvpMkNWjQQOnp6S7FZZsSAAAAAAAwlc2wON08WVRUlJ5++mn9+OOP9r4ff/xRkydP1q233ipJOnr0qG666SaX4lKMAQAAAAAAprr8NiVnmjsWLFig8PBw+fv7KyoqSrt27brm2B07dshiseRp33zzTaH3WbJkiU6cOKGbbrpJERERatCggW666SYlJSVpyZIlkqRffvlFzz//vEvzZ5sSAAAAAAAwlbOrXtxZGRMfH6/x48drwYIFuv3227Vo0SLde++9SkxMVN26da953bfffuuw5ahGjRqF3qtx48ZKTEzUli1bdOTIERmGocaNGys6OlpeXpcKSb1793b5GSjGAAAAAAAAUxXnq61feeUVDR8+XCNGjJAkxcbGavPmzVq4cKFmz559zetq1qypKlWqOH2f3Nxc+fv768CBA7rnnnt0zz33uDzXa2GbEgAAAAAAMJWrZ8ZkZWU5tOzs7Hzj5uTkaO/evYqJiXHoj4mJ0Z49ewqcU+vWrRUSEqKuXbtq+/bthT6Dj4+PwsLCZLVanXxq51GMAQAAAAAApnK1GBMaGqrAwEB7u9YKl/T0dFmtVgUHBzv0BwcHKzU1Nd9rQkJCtHjxYq1Zs0Zr165Vo0aN1LVrV+3cubPQ5/jzn/+sqVOn6qeffnLxGygY25QAAAAAAICpXD0z5tSpUw7nufj5+RV4ncXiGNswjDx9lzVq1EiNGjWy/9y+fXudOnVKL730kjp16lTgfV599VUdO3ZMtWvXVlhYmG644QaHz/ft21fg9ddCMQYAAAAAAJjKalhkceJNSdbfizEBAQEOxZhrCQoKkre3d55VMGlpaXlWyxSkXbt2+uc//1noOHcO53UGxRgAAAAAAGCq4nqbkq+vr6KiopSQkKA+ffrY+xMSEtSrVy+n4+zfv18hISGFjps2bZpL83MWxRgAAAAAAGCq4ny19cSJEzVo0CC1adNG7du31+LFi5WcnKxRo0ZJkqZOnarTp0/r7bfflnTpbUv16tVTs2bNlJOTo3/+859as2aN1qxZ49T9zp49q9WrV+v48eN6+umnVa1aNe3bt0/BwcGqU6eOy/OXKMYAAAAAAACTFWcxpn///srIyNCMGTOUkpKiyMhIbdiwQWFhYZKklJQUJScn28fn5ORo0qRJOn36tCpWrKhmzZpp/fr16t69e6H3+uqrr9StWzcFBgYqKSlJjz32mKpVq6YPPvhAJ0+etBd8XEUxBgAAAAAAmKo4izGSNHr0aI0ePTrfz+Li4hx+njx5siZPnuzWfSZOnKihQ4dq3rx5qly5sr3/3nvv1cCBA92KKVGMAQAAAAAAJjMMiwwnCi3OjClNX3zxhRYtWpSnv06dOtd8lbYzKMYAAAAAAABT2WSRTU6sjHFiTGny9/dXVlZWnv5vv/1WNWrUcDtu4e+ZAgAAAAAAcMHlbUrONE/Wq1cvzZgxQ7/99pskyWKxKDk5WVOmTFHfvn3djksxBgAAAAAAmOryNiVnmid76aWX9OOPP6pmzZr69ddfdeeddyoiIkKVK1fWCy+84HZctikBAAAAAABTWW1estgKX/9hdWJMaQoICNDu3bu1bds27du3TzabTbfccou6detWpLgUYwAAAAAAgKkMJ7cgefrKmKSkJNWrV09dunRRly5dTIvr2SUoAAAAAABQ5hiSDMOJVtoTLUT9+vV1xx13aNGiRfrpp59Mi0sxBgAAAAAAmOry25ScaZ7syy+/VPv27TVz5kzVrl1bvXr10qpVq5SdnV2kuBRjAAAAAACAqcrLAb633HKLXnzxRSUnJ2vjxo2qWbOmRo4cqZo1a2rYsGFux6UYAwAAAAAATFVeXm19mcViUefOnfXmm29q69atql+/vt566y23413XB/h+cOSQAipTj7q7dqvSnoJHeSXp09Kegsf4JcdW2lNwCrl8Cbns6P3vyWVJyrKVjTyWyOXLyGVHm88cKO0pwAXk8SXksSPy+Pp0+UwYZ8aVBadOndLKlSv17rvv6tChQ2rfvr3+8Y9/uB3vui7GAAAAAAAA8zm7BcnTtyktXrxYK1as0H/+8x81atRIDz/8sD788EPVq1evSHEpxgAAAAAAAFOVl2LM3/72Nw0YMEDz589Xq1atTItLMQYAAAAAAJjKZlhkcaLQ4ulnxiQnJ8tiMX+OFGMAAAAAAICpbDbJYnOiGOOBx9t99dVXioyMlJeXlw4dOlTg2BYtWrh1D4oxAAAAAADAVGV5m1KrVq2UmpqqmjVrqlWrVrJYLDKuOGn48s8Wi0VWq9Wte1CMAQAAAAAApjJ+b86M8zQnTpxQjRo17P9cHCjGAAAAAAAAU5XllTFhYWH5/rOZKMYAAAAAAABzleGlMf/617+cHnv//fe7dQ+KMQAAAAAAwFxOroyRB66M6d27t8PP+Z0Zc5m7Z8Z4uXUVAAAAAADANRiG883T2Gw2e9uyZYtatWqljRs36uzZs8rMzNSGDRt0yy23aNOmTW7fg5UxAAAAAADAVGX5zJgrjR8/Xm+88YbuuOMOe9/dd9+tSpUq6fHHH9fhw4fdisvKGAAAAAAAYC7D4nxzw4IFCxQeHi5/f39FRUVp165dTl33n//8Rz4+PmrVqpVT448fP67AwMA8/YGBgUpKSnJhxo4oxgAAAAAAAFMZNuebq+Lj4zV+/Hg999xz2r9/vzp27Kh7771XycnJBV6XmZmpwYMHq2vXrk7f69Zbb9X48eOVkpJi70tNTdVTTz2ltm3buj7531GMAQAAAAAAprq8TcmZ5qpXXnlFw4cP14gRI9SkSRPFxsYqNDRUCxcuLPC6kSNHauDAgWrfvr3T91q2bJnS0tIUFhamiIgIRUREqG7dukpJSdHSpUtdnvtlnBkDAAAAAADM58LhvFlZWQ4/+/n5yc/PL8+4nJwc7d27V1OmTHHoj4mJ0Z49e64Zf/ny5Tp+/Lj++c9/aubMmU7PKyIiQl999ZUSEhL0zTffyDAMNW3aVN26dXN4q5KrKMYAAAAAAABTuXqAb2hoqEP/tGnTNH369Dzj09PTZbVaFRwc7NAfHBys1NTUfO9x9OhRTZkyRbt27ZKPj+tlEIvFopiYGMXExLh87bVQjAEAAAAAAOYy5NzKmN/HnDp1SgEBAfbu/FbFXOnqVSmGYeS7UsVqtWrgwIH661//qoYNGzoxoZJBMQYAAAAAAJjM8ntzZpwUEBDgUIy5lqCgIHl7e+dZBZOWlpZntYwknTt3Tl9++aX279+vP/3pT5Ikm80mwzDk4+OjLVu2qEuXLk7M01wUYwAAAAAAgLlcXBnjLF9fX0VFRSkhIUF9+vSx9yckJKhXr155xgcEBOjQoUMOfQsWLNC2bdu0evVqhYeHuzYBk1CMAQAAAAAA5iqmYowkTZw4UYMGDVKbNm3Uvn17LV68WMnJyRo1apQkaerUqTp9+rTefvtteXl5KTIy0uH6mjVryt/fP09/SaIYAwAAAAAAzGVYLjVnxrmof//+ysjI0IwZM5SSkqLIyEht2LBBYWFhkqSUlBQlJye7HPdabDabjh07prS0NNlsNofPOnXq5FZMijEAAAAAAMBUhu1Sc2acO0aPHq3Ro0fn+1lcXFyB106fPj3fNzXl57PPPtPAgQN18uRJGYbjMh6LxSKr1epUnKtRjAEAAAAAAOYqxpUxJWnUqFFq06aN1q9fr5CQkHzf2OQOijEAAAAAAMBUFuNSc2acJzt69KhWr16tiIgIU+N6mRoNAAAAAADAcKF5sNtuu03Hjh0zPS4rYwAAAAAAgLnKyTalJ598Uk899ZRSU1PVvHlzVahQweHzFi1auBWXYgwAAAAAADBXMb7auiT17dtXkjRs2DB7n8VikWEYHOALAAAAAAA8SDkpxpw4caJY4lKMAQAAAAAA5ionxZiwsLBiiev2Ab5Dhw6VxWKRxWJRhQoVFBwcrOjoaC1btkw2m+OLwvfv369+/fopODhY/v7+atiwoR577DEdOXJEkpSUlGSPZbFYVLlyZTVr1kxjxozR0aNHHWKtXbtW0dHRqlGjhgICAtS+fXtt3rzZ3ccAAAAAAABmu3xmjDPNwx0/flxPPvmkunXrpujoaI0dO1bHjx8vUswivU3pnnvuUUpKipKSkrRx40Z17txZ48aNU48ePZSbmytJ+uijj9SuXTtlZ2drxYoVOnz4sN555x0FBgbq+eefd4i3detWpaSk6ODBg5o1a5YOHz6sli1b6uOPP7aP2blzp6Kjo7Vhwwbt3btXnTt3Vs+ePbV///6iPAoAAAAAADCJxeZ882SbN29W06ZN9d///lctWrRQZGSkPv/8czVr1kwJCQluxy3SNiU/Pz/VqlVLklSnTh3dcsstateunbp27aq4uDgNHDhQjz76qLp3764PPvjAfl14eLhuu+02nT171iFe9erV7fHq16+vnj17qmvXrho+fLiOHz8ub29vxcbGOlwza9YsrVu3Tv/+97/VunXrojwOAAAAAACA3ZQpUzRhwgTNmTMnT/8zzzyj6Ohot+KafmZMly5d1LJlS61du1bVq1dXenq6Jk+enO/YKlWqFBjLy8tL48aNU58+fbR37161bds2zxibzaZz586pWrVq14yTnZ2t7Oxs+89ZWVnOPQwAj0IuA+UDuQyUfeQxgMJYJFmcOA/G0zcpHT58WO+//36e/mHDhuVZLOKKIm1TupbGjRsrKSnJft5L48aNixRLunSuTH5efvllnT9/Xg8++OA1Y8yePVuBgYH2Fhoa6vZ8AJQechkoH8hloOwjjwEUqpycGVOjRg0dOHAgT/+BAwdUs2ZNt+MWSzHm8vu2DaPoxyJfjmGx5P0FWrlypaZPn674+PgCv4SpU6cqMzPT3k6dOlXkeQEoeeQyUD6Qy0DZRx4DKJThQvNgjz32mB5//HHNnTtXu3bt0u7duzVnzhyNHDlSjz/+uNtxi+XV1ocPH1Z4eLgaNmwoSfrmm2/Uvn17t2NJl86ZuVJ8fLyGDx+uVatWqVu3bgXG8PPzk5+fn1v3B+A5yGWgfCCXgbKPPAZQqHLyauvnn39elStX1ssvv6ypU6dKkmrXrq3p06dr7Nixbsc1fWXMtm3bdOjQIfXt21cxMTEKCgrSvHnz8h179QG+V7PZbHr11VcVHh7ucDjvypUrNXToUL377ru67777zJw+AAAAAAAoIovhfPNkFotFEyZM0Pfff29fDfj9999r3Lhx+e7gcVaRVsZkZ2crNTVVVqtVP/zwgzZt2qTZs2erR48eGjx4sLy9vbVkyRL169dP999/v8aOHauIiAilp6fr/fffV3Jyst577z17vIyMDKWmpurChQv6+uuvFRsbq//+979av369vL29JV0qxAwePFjz589Xu3btlJqaKkmqWLGiAgMDi/I4AAAAAADADOVkZcyVKleubFqsIq2M2bRpk0JCQlSvXj3dc8892r59u1599VWtW7fOXjzp1auX9uzZowoVKmjgwIFq3LixHnroIWVmZmrmzJkO8bp166aQkBA1b95cU6ZMUZMmTfTVV1+pc+fO9jGLFi1Sbm6uxowZo5CQEHsbN25cUR4FAAAAAACYpZycGfPDDz9o0KBBql27tnx8fOTt7e3Q3OX2ypi4uDjFxcU5NbZNmzZas2bNNT+vV6+e04f97tixw6lxAAAAAACgdDi7BcnTtykNHTpUycnJev755xUSElKkrUlXKpYDfAEAAAAAwHXMZrnUnBnnwXbv3q1du3apVatWpsalGAMAAAAAAExVXlbGhIaGOr2TxxWmv00JAAAAAABc58rJmTGxsbGaMmWKkpKSTI3LyhgAAAAAAGAuZ19b7eHFmP79++vChQu6+eabValSJVWoUMHh859++smtuBRjAAAAAACAuYr51dYLFizQiy++qJSUFDVr1kyxsbHq2LFjvmN3796tZ555Rt98840uXLigsLAwjRw5UhMmTCj0PrGxse5NsBAUYwAAAAAAgLmKsRgTHx+v8ePHa8GCBbr99tu1aNEi3XvvvUpMTFTdunXzjL/hhhv0pz/9SS1atNANN9yg3bt3a+TIkbrhhhv0+OOPF3ivIUOGuD5BJ1CMAQAAAAAApirOA3xfeeUVDR8+XCNGjJB0afXK5s2btXDhQs2ePTvP+NatW6t169b2n+vVq6e1a9dq165dhRZjJMlms+nYsWNKS0uTzWZz+KxTp06uP4AoxgAAAAAAgDIiJydHe/fu1ZQpUxz6Y2JitGfPHqdi7N+/X3v27NHMmTMLHfvZZ59p4MCBOnnyZJ63KlksFlmtVucnfwWKMQAAAAAAwFwublPKyspy6Pbz85Ofn1+e4enp6bJarQoODnboDw4OVmpqaoG3uummm/Tjjz8qNzdX06dPt6+sKcioUaPUpk0brV+/XiEhIbJYLIVe4wyKMQAAAAAAwFQWQ7LYnBsnSaGhoQ7906ZN0/Tp06993VVFEcMwCi2U7Nq1S7/88os+++wzTZkyRREREXrooYcKvObo0aNavXq1IiIiChznKooxAAAAAADAXC6ujDl16pQCAgLs3fmtipGkoKAgeXt751kFk5aWlme1zNXCw8MlSc2bN9cPP/yg6dOnF1qMue2223Ts2DGKMQAAAAAAwLO5eoBvQECAQzHmWnx9fRUVFaWEhAT16dPH3p+QkKBevXo5PT/DMJSdnV3ouCeffFJPPfWUUlNT1bx5c1WoUMHh8xYtWjh9zytRjAEAAAAAAOYqxldbT5w4UYMGDVKbNm3Uvn17LV68WMnJyRo1apQkaerUqTp9+rTefvttSdLrr7+uunXrqnHjxpKk3bt366WXXtKTTz5Z6L369u0rSRo2bJi9z2Kx2LdFcYAvAAAAAADwCMX5auv+/fsrIyNDM2bMUEpKiiIjI7VhwwaFhYVJklJSUpScnGwfb7PZNHXqVJ04cUI+Pj66+eabNWfOHI0cObLQe504ccL1CTqBYgwAAAAAADBXMa6MkaTRo0dr9OjR+X4WFxfn8POTTz7p1CqY/Fwu8JiNYgwAAAAAADBXMRdjSlpiYqKSk5OVk5Pj0H///fe7FY9iDAAAAAAAMFVxblMqSd9995369OmjQ4cO2c+Kkf54tba7Z8Z4mTZDAAAAAAAA6Y+VMc40DzZu3DiFh4frhx9+UKVKlfS///1PO3fuVJs2bbRjxw6347IyBgAAAAAAmMpiu9ScGefJPv30U23btk01atSQl5eXvLy8dMcdd2j27NkaO3as9u/f71ZcVsYAAAAAAABzlZOVMVarVTfeeKMkKSgoSGfOnJF06WDfb7/91u24rIwBAAAAAACmKi9nxkRGRuqrr75S/fr1ddttt2nevHny9fXV4sWLVb9+fbfjUowBAAAAAADmKidvU/rzn/+s8+fPS5JmzpypHj16qGPHjqpevbri4+PdjksxBgAAAAAAmKucFGPuvvtu+z/Xr19fiYmJ+umnn1S1alX7G5XcQTEGAAAAAACYyvJ7c2ZcWVOtWrUix6AYAwAAAAAAzFVOVsacP39ec+bM0ccff6y0tDTZbI6vf/ruu+/ciksxBgAAAAAAmKq8HOA7YsQIffLJJxo0aJBCQkKKtDXpShRjoFeSPi3tKXiUifXal/YUPEau8ZukdaU9DTjp/e/J5Ss9eBO5LJHHZdHmMwdKewoe5e7arUp7Ch7hUi6797evKHnksSPy+JLrLo/LycqYjRs3av369br99ttNjUsxBgAAAAAAmMpiSBabc+M8WdWqVU05I+ZqXqZHBAAAAAAA1zfDhebB/va3v+kvf/mLLly4YGpcVsYAAAAAAABTleUzY1q3bu1wNsyxY8cUHBysevXqqUKFCg5j9+3b59Y9KMYAAAAAAABzleEzY3r37l3s96AYAwAAAAAATFWWV8ZMmzat2O9BMQYAAAAAAJirDK+MuZaLFy8qPj5e58+fV3R0tBo0aOB2LIoxAAAAAADAXGW8GPP0008rJydH8+fPlyTl5OSoXbt2SkxMVKVKlTR58mRt2bJFHTp0cCs+b1MCAAAAAACmurxNyZnmiTZu3KiuXbvaf16xYoWSk5N19OhR/fzzz+rXr59eeOEFt+NTjAEAAAAAAOYq46+2Tk5OVtOmTe0/b9myRf/3f/+nsLAwWSwWjRs3Tvv373c7PsUYAAAAAABgKothON08kZeXl4wr5vbZZ5+pXbt29p+rVKmin3/+2f34RZodAAAAAADAVSw255snaty4sf79739Lkv73v/8pOTlZnTt3tn9+8uRJBQcHux2fYgwAAAAAADBXMW9TWrBggcLDw+Xv76+oqCjt2rXrmmPXrl2r6Oho1ahRQwEBAWrfvr02b95cYPynn35aU6ZMUdeuXdW1a1d1795d4eHh9s83bNigtm3bujd5UYwBAAAAAAAmK84DfOPj4zV+/Hg999xz2r9/vzp27Kh7771XycnJ+Y7fuXOnoqOjtWHDBu3du1edO3dWz549CzzzpW/fvtqwYYNatGihCRMmKD4+3uHzSpUqafTo0a5P/ne82hoAAAAAAJirGF9t/corr2j48OEaMWKEJCk2NlabN2/WwoULNXv27DzjY2NjHX6eNWuW1q1bp3//+99q3br1Ne/TrVs3devWLd/Ppk2b5vrEr8DKGAAAAAAAYCpXV8ZkZWU5tOzs7Hzj5uTkaO/evYqJiXHoj4mJ0Z49e5yam81m07lz51StWjWXnql58+Y6deqUS9dcC8UYAAAAAABgLhfPjAkNDVVgYKC95bfCRZLS09NltVrzHJ4bHBys1NRUp6b28ssv6/z583rwwQddeqSkpCT99ttvLl1zLWxTAgAAAAAApnPlPJhTp04pICDA/rOfn1/BsS0Wh58Nw8jTl5+VK1dq+vTpWrdunWrWrOn8BE1GMQYAAAAAAJjLMC41Z8ZJCggIcCjGXEtQUJC8vb3zrIJJS0sr9FXT8fHxGj58uFatWnXNs2AK0rFjR1WsWNHl6/LDNiUAAAAAAGCq4nqbkq+vr6KiopSQkODQn5CQoA4dOlzzupUrV2ro0KF69913dd9997nzSNqwYYNCQkLcuvZqrIwBAAAAAACmslglixPLPyxW12NPnDhRgwYNUps2bdS+fXstXrxYycnJGjVqlCRp6tSpOn36tN5++21JlwoxgwcP1vz589WuXTv7qpqKFSsqMDCw0PsdOXJEO3bsUFpammw2m8Nnf/nLX1x/AFGMAQAAAAAAZivGV1v3799fGRkZmjFjhlJSUhQZGakNGzYoLCxMkpSSkqLk5GT7+EWLFik3N1djxozRmDFj7P1DhgxRXFxcgfd688039cQTTygoKEi1atVyOJfGYrFQjAEAAAAAAJ7B2S1Irm5Tumz06NEaPXp0vp9dXWDZsWOHezeRNHPmTL3wwgt65pln3I6RH4oxAAAAAADAXC4e4Oupfv75Z/Xr18/0uBzgCwAAAAAATFVcB/iWtH79+mnLli2mx2VlDAAAAAAAMFcxnhlTkiIiIvT888/rs88+U/PmzVWhQgWHz8eOHetWXIoxAAAAAADAVMV9ZkxJWbx4sW688UZ98skn+uSTTxw+s1gsFGMAAAAAAICHKCdnxpw4caJY4nJmDAAAAAAAMFV5OTPmspycHH377bfKzc01JR7FGAAAAAAAYCqLzfnmyS5cuKDhw4erUqVKatasmZKTkyVdOitmzpw5bsd1qRgzdOhQWSyWPDf88MMPZbFY8oxv1KiRfH19dfr06Tyf3XXXXfnGkqTu3bvLYrFo+vTpecZbLBb5+fmpTp066tmzp9auXevKIwAAAAAAgOJmM5xvHmzq1Kk6ePCgduzYIX9/f3t/t27dFB8f73Zcl1fG+Pv7a+7cufr5558LHLd7925dvHhR/fr1U1xcXL5jQkNDtXz5coe+M2fOaNu2bQoJCckz/rHHHlNKSoqOHTumNWvWqGnTphowYIAef/xxVx8DAAAAAAAUF8OF5sE+/PBD/eMf/9Add9zhsAiladOmOn78uNtxXS7GdOvWTbVq1dLs2bMLHLd06VINHDhQgwYN0rJly2TkcyhPjx49lJGRof/85z/2vri4OMXExKhmzZp5xleqVEm1atVSaGio2rVrp7lz52rRokV68803tXXrVlcfBQAAAAAAFAOLnDwzprQnWogff/wx3/rE+fPn890h5CyXizHe3t6aNWuWXnvtNX3//ff5jjl37pxWrVqlRx55RNHR0Tp//rx27NiRZ5yvr68efvhhh9UxcXFxGjZsmNPzGTJkiKpWrcp2JQAAAAAAPMXltyk50zzYrbfeqvXr19t/vlyAefPNN9W+fXu347r1aus+ffqoVatWmjZtmpYuXZrn8/fee08NGjRQs2bNJEkDBgzQ0qVL1blz5zxjhw8frjvuuEPz58/X3r17lZmZqfvuu8/hvJiCeHl5qWHDhkpKSrrmmOzsbGVnZ9t/zsrKcio2AM9CLgPlA7kMlH3kMYDCOPumJE9/m9Ls2bN1zz33KDExUbm5uZo/f77+97//6dNPP9Unn3zidly336Y0d+5cvfXWW0pMTMzz2dKlS/XII4/Yf37kkUe0du1anT17Ns/YFi1aqEGDBlq9erWWLVumQYMGqUKFCi7NxTCMApcHzZ49W4GBgfYWGhrqUnwAnoFcBsoHchko+8hjAIUqJ2fGdOjQQf/5z3904cIF3XzzzdqyZYuCg4P16aefKioqyu24bhdjOnXqpLvvvlvPPvusQ39iYqI+//xzTZ48WT4+PvLx8VG7du3066+/auXKlfnGGjZsmF5//XWtXr3apS1KkmS1WnX06FGFh4dfc8zUqVOVmZlpb6dOnXLpHgA8A7kMlA/kMlD2kccACmMxDKebp2vevLneeustff3110pMTNQ///lPNW/evEgx3dqmdNmcOXPUqlUrNWzY0N63dOlSderUSa+//rrD2HfeeUdLly7VE088kSfOwIEDNWnSJLVs2VJNmzZ1aQ5vvfWWfv75Z/Xt2/eaY/z8/OTn5+dSXACeh1wGygdyGSj7yGMAhbL93pwZ58H27dunChUq2Isv69at0/Lly9W0aVNNnz5dvr6+bsV1e2WMdKk69PDDD+u1116TJP32229655139NBDDykyMtKhjRgxQnv37tXBgwfzxKlatapSUlL08ccfF3i/CxcuKDU1Vd9//70+//xzPfPMMxo1apSeeOKJfM+jAQAAAAAAJc9iM5xunmzkyJE6cuSIJOm7775T//79ValSJa1atUqTJ092O26RijGS9Le//c3+2up//etfysjIUJ8+ffKMa9CggZo3b57vgb+SVKVKFd1www0F3uvNN99USEiIbr75ZvXp00eJiYmKj4/XggULivoYAAAAAADALOXkbUpHjhxRq1atJEmrVq3SnXfeqXfffVdxcXFas2aN23Fd2qYUFxeXpy8sLEwXL160/2y1Wq95/VdffWX/5/xedX2lAwcOOPxc2HgAAAAAAOAZysvblAzDkM12aS/V1q1b1aNHD0lSaGio0tPT3Y5bpDNjAAAAAAAA8nB21YuHr4xp06aNZs6cqW7duumTTz7RwoULJUknTpxQcHCw23GLvE0JAAAAAADgShab882TxcbGat++ffrTn/6k5557ThEREZKk1atXq0OHDm7HZWUMAAAAAAAwVzlZGdOiRQsdOnQoT/+LL74ob29vt+NSjAEAAAAAAOYyfm/OjCsDcnJylJaWZj8/5rK6deu6FY9tSgAAAAAAwFQWw3C6uWPBggUKDw+Xv7+/oqKitGvXrmuOTUlJ0cCBA9WoUSN5eXlp/PjxTt/nyJEj6tixoypWrKiwsDCFh4crPDxc9erVU3h4uFtzl1gZAwAAAAAAzFaM25Ti4+M1fvx4LViwQLfffrsWLVqke++9V4mJifmuVMnOzlaNGjX03HPP6e9//7tL93r00Ufl4+Ojjz76SCEhIbJYLC7PNz8UYwAAAAAAgKksNkMWa+GFFovN9WLMK6+8ouHDh2vEiBGSLh2yu3nzZi1cuFCzZ8/OM75evXqaP3++JGnZsmUu3evAgQPau3evGjdu7PI8C8I2JQAAAAAAYC5Df6yOKbBdGp6VleXQsrOz8w2bk5OjvXv3KiYmxqE/JiZGe/bsMf0xmjZtqvT0dNPjUowBAAAAAADmcqoQ88dWptDQUAUGBtpbfitcJCk9PV1Wq1XBwcEO/cHBwUpNTTX9MebOnavJkydrx44dysjIyFM0chfblAAAAAAAgLlskpw5XuX3lxOdOnVKAQEB9m4/P78CL7v67BbDMEw7z+VK3bp1kyR17do13/tZrVa34lKMAQAAAAAApnL2TUmXxwQEBDgUY64lKChI3t7eeVbBpKWl5VktY4bt27ebHlOiGAMAAAAAAMxWTG9T8vX1VVRUlBISEtSnTx97f0JCgnr16uXqLAt15513mh5T4swYAAAAAABgNhfPjHHFxIkTtWTJEi1btkyHDx/WhAkTlJycrFGjRkmSpk6dqsGDBztcc+DAAR04cEC//PKLfvzxRx04cECJiYlO3W/Xrl165JFH1KFDB50+fVqS9M4772j37t0uz/0yVsYAAAAAAABzFdPKGEnq37+/MjIyNGPGDKWkpCgyMlIbNmxQWFiYJCklJUXJyckO17Ru3dr+z3v37tW7776rsLAwJSUlFXivNWvWaNCgQXr44Ye1b98++1uezp07p1mzZmnDhg0uz19iZQwAAAAAADCbzYXmhtGjRyspKUnZ2dnau3evOnXqZP8sLi5OO3bscBhvGEaeVlghRpJmzpypN954Q2+++aYqVKhg7+/QoYP27dvn3uTFyhgAAAAAAGAyVw/w9VTffvutQ6HnsoCAAJ09e9btuKyMAQAAAAAA5rLanG8eLCQkRMeOHcvTv3v3btWvX9/tuBRjAAAAAACAuYrxAN+SNHLkSI0bN06ff/65LBaLzpw5oxUrVmjSpEkaPXq023HZpgQAAAAAAEzmbKHFs4sxkydPVmZmpjp37qyLFy+qU6dO8vPz06RJk/SnP/3J7bgUYwAAAAAAgLmK8W1KJe2FF17Qc889p8TERNlsNjVt2lQ33nhjkWJSjAEAAAAAAOayGXJq1YvNM4sxDzzwQKFjfHx8VKtWLUVHR6tnz54uxacYAwAAAAAAzGXYLjVnxnmgwMDAQsfYbDYdPXpUS5Ys0aRJkzRjxgyn41OMAQAAAAAA5irj25SWL1/u9Nj169friSeeoBgDAAAAAABKURnfpuSK22+/XW3atHHpGooxAAAAAADAXGV8ZYwrqlSporVr17p0DcUYAAAAAABgLpshyYnzYMrByhh3XJfFGOP3ylvWL555UFBJ+yWH7+FKucZvpT0Fj5GrS9+F4aHVanLZUZaN7+FK5PIlnp7HErmMgpHLl3h6LpPHKAh5fImn57HpbDY5V4y5Pv+9cV0WY86dOydJCrslqXQnAg+1rrQn4HHOnTvn1GniJY1cRsHI5St5ah5L5DIK811pT8CjeGouk8coGHl8JU/NY9NdR9uU3HFdFmNq166tU6dOqXLlyrJYLKU2j6ysLIWGhurUqVMKCAgotXl4Ar4LR57yfRiGoXPnzql27dqlNoeCkMueh+/iD57yXXh6Hkuekcue8uvlKfg+/uAp34Wn57In5LHkOb9enoDvwpEnfB+ensemoxhToOuyGOPl5aWbbrqptKdhFxAQwL8gf8d34cgTvg9PrtqTy56L7+IPnvBdeHIeS56Vy57w6+VJ+D7+4AnfhSfnsiflseQZv16egu/CUWl/H56cx6a7jt6m5I7rshgDAAAAAACKj2HYZBiFnwfjzJjyiGIMAAAAAAAwl2E4t+qFbUooaX5+fpo2bZr8/PxKeyqlju/CEd9H2cKv1x/4Lv7Ad1G28OvliO/jD3wXZQu/Xn/gu3DE91EKDCe3KV2nxRiLcd28VwsAAAAAABSnrKwsBQYGqmvlh+Vj8S10fK6Ro4/PrVBmZuZ1db4RK2MAAAAAAICpDKtVhsVa+Dij8DHlEcUYAAAAAABgLrYpFYhiDAAAAAAAMJfNkCwUY67Fq7QnAAAAAAAAyhnDkAybE829YsyCBQsUHh4uf39/RUVFadeuXQWO/+STTxQVFSV/f3/Vr19fb7zxhlv3NQvFGJMMHTpUFotFFotFFSpUUHBwsKKjo7Vs2TLZbI7vTd+/f7/69eun4OBg+fv7q2HDhnrsscd05MgRSVJSUpI9lsViUeXKldWsWTONGTNGR48eLY3HK1BpPfvatWsVHR2tGjVqKCAgQO3bt9fmzZtL7Lmvdvl7mDNnjkP/hx9+KIvFkmd8o0aN5Ovrq9OnT+f57K677so3liR1795dFotF06dPzzPeYrHIz89PderUUc+ePbV27dqiP9h1hDwmj8nj8oFcJpfJ5fKBXCaXyeWyzbAZTjdXxcfHa/z48Xruuee0f/9+dezYUffee6+Sk5PzHX/ixAl1795dHTt21P79+/Xss89q7NixWrNmTVEf020UY0x0zz33KCUlRUlJSdq4caM6d+6scePGqUePHsrNzZUkffTRR2rXrp2ys7O1YsUKHT58WO+8844CAwP1/PPPO8TbunWrUlJSdPDgQc2aNUuHDx9Wy5Yt9fHHH5fG4xWoNJ59586dio6O1oYNG7R371517txZPXv21P79+0v02a/k7++vuXPn6ueffy5w3O7du3Xx4kX169dPcXFx+Y4JDQ3V8uXLHfrOnDmjbdu2KSQkJM/4xx57TCkpKTp27JjWrFmjpk2basCAAXr88cfdfp7rEXlMHpPH5QO5TC6Ty+UDuUwuk8tlmFOrYn5vLnrllVc0fPhwjRgxQk2aNFFsbKxCQ0O1cOHCfMe/8cYbqlu3rmJjY9WkSRONGDFCw4YN00svvVTUp3SfAVMMGTLE6NWrV57+jz/+2JBkvPnmm8b58+eNoKAgo3fv3vnG+Pnnnw3DMIwTJ04Ykoz9+/c7fG61Wo277rrLCAsLM3Jzc01+Avd50rM3bdrU+Otf/+ruoxTJkCFDjB49ehiNGzc2nn76aXv/Bx98YFydakOHDjWmTJlibNy40ahfv75hs9kcPr/zzjuNJ554wqhevbqxe/due/8LL7xg9OzZ02jZsqUxbdo0h/Hjxo3LM6dly5YZkoyEhARzHrKc86TfyyXNk56dPHZEHrvOk34/lzRPenZy2RG57DpP+v1c0jzp2cllR+Ry4TIzMw1Jxl2WPkY3rwcLbXdZ+hiSjMzMTKfiZ2dnG97e3sbatWsd+seOHWt06tQp32s6duxojB071qFv7dq1ho+Pj5GTk+PegxYRK2OKWZcuXdSyZUutXbtWmzdvVnp6uiZPnpzv2CpVqhQYy8vLS+PGjdPJkye1d+/eYpituUr62W02m86dO6dq1aoVdepu8/b21qxZs/Taa6/p+++/z3fMuXPntGrVKj3yyCOKjo7W+fPntWPHjjzjfH199fDDDztU7+Pi4jRs2DCn5zNkyBBVrVqV5ZRFRB6Tx1cjj8smcplcvhq5XDaRy+Ty1chlz5RrZCvX5kQzsiVJWVlZDi07OzvfuOnp6bJarQoODnboDw4OVmpqar7XpKam5js+NzdX6enpJjyt6yjGlIDGjRsrKSnJviezcePGRYolXdr7WRaU5LO//PLLOn/+vB588EG372GGPn36qFWrVpo2bVq+n7/33ntq0KCBmjVrJm9vbw0YMEBLly7Nd+zw4cP1/vvv6/z589q5c6cyMzN13333OT0XLy8vNWzYsMz8fvFk5DF5fCXyuOwil8nlK5HLZRe5TC5fiVz2LL6+vqpVq5Z2a4N2aF2hbbc26MYbb1RoaKgCAwPtbfbs2QXe5+pzgwzDyPcsoYLG59dfUni1dQm4/JvCMOGVXaX9G8ZVJfXsK1eu1PTp07Vu3TrVrFmzyPcqqrlz56pLly566qmn8ny2dOlSPfLII/afH3nkEXXq1Elnz57N8zcYLVq0UIMGDbR69Wpt375dgwYNUoUKFVyaS2H/UoJzyGPy+ErkcdlFLpPLVyKXyy5ymVy+ErnsWfz9/XXixAnl5OQ4fU1+36mfn1++Y4OCguTt7Z1nFUxaWlqe1S+X1apVK9/xPj4+ql69utPzNBMrY0rA4cOHFR4eroYNG0qSvvnmmyLFkqTw8HBT5lbcSuLZ4+Pj7RXubt26uT9ZE3Xq1El33323nn32WYf+xMREff7555o8ebJ8fHzk4+Ojdu3a6ddff9XKlSvzjTVs2DC9/vrrWr16tUtLKCXJarXq6NGjZeb3iycjj8njy8jjso1cJpcvI5fLNnKZXL6MXPZM/v7+CggIcLoFBgbm6btWMcbX11dRUVFKSEhw6E9ISFCHDh3yvaZ9+/Z5xm/ZskVt2rRxuRhnFooxxWzbtm06dOiQ+vbtq5iYGAUFBWnevHn5jj179myBsWw2m1599VWFh4erdevWxTBbc5XEs69cuVJDhw7Vu+++69LywpIwZ84c/fvf/9aePXvsfUuXLlWnTp108OBBHThwwN4mT558zaWUAwcO1KFDhxQZGammTZu6NIe33npLP//8s/r27VukZ7nekcfkMXlcPpDL5DK5XD6Qy+QyuYyJEydqyZIlWrZsmQ4fPqwJEyYoOTlZo0aNkiRNnTpVgwcPto8fNWqUTp48qYkTJ+rw4cNatmyZli5dqkmTJpXWI7BNyUzZ2dlKTU2V1WrVDz/8oE2bNmn27Nnq0aOHBg8eLG9vby1ZskT9+vXT/fffr7FjxyoiIkLp6el6//33lZycrPfee88eLyMjQ6mpqbpw4YK+/vprxcbG6r///a/Wr18vb2/vUnzSvErj2VeuXKnBgwdr/vz5ateunX3ZWcWKFRUYGFgq38OVmjdvrocfflivvfaaJOm3337TO++8oxkzZigyMtJh7IgRIzRv3jwdPHhQLVu2dPisatWqSklJKbRie+HCBaWmpio3N1enT5/W2rVr9fe//11PPPGEOnfubO7DlWPkMXl8JfK47CKXyeUrkctlF7lMLl+JXMZl/fv3V0ZGhmbMmKGUlBRFRkZqw4YNCgsLkySlpKQoOTnZPj48PFwbNmzQhAkT9Prrr6t27dp69dVXS7eoVgJvbLouDBkyxJBkSDJ8fHyMGjVqGN26dTOWLVtmWK1Wh7FffPGF8cADDxg1atQw/Pz8jIiICOPxxx83jh49ahjGH6+fu9wqVapkNGnSxBg9erR9jCcprWe/8847HcZebkOGDCmpR3eQ3ysIk5KSDD8/P0OSsXr1asPLy8tITU3N9/rmzZsbTz75pGEY136V3mX5vXrv8vP7+voaISEhRo8ePfK87g0FI4/JY/K4fCCXyWVyuXwgl8llchnlmcUwTDj5CQAAAAAAAE7hzBgAAAAAAIASRDEGAAAAAACgBFGMAQAAAAAAKEEUYwAAAAAAAEoQxRgAAAAAAIASRDEGAAAAAACgBFGMAQAAAAAAKEEUYwAAAAAAAEoQxRgAAAAAAIASRDEGAAAAAACgBFGMAQAAAAAAKEEUYwAAAAAAAErQ/wPzORKRk5N3YQAAAABJRU5ErkJggg==", "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": { "text/plain": [ "[Text(1, 0, 'DCD'), Text(2, 0, 'DCD2'), Text(3, 0, 'NAMD')]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Yr7/+uq6//vrjfp1zTj6fz/v8rz8+3syxFixYoLlz53qfNzU1EQMAJiX9qaG/NmjQIA0ePFjbtm2TJIVCIbW2tqqxsTFhrr6+Xnl5ed7Ml19+2WFbX331lTfTmUAgoKysrIQFACw6o0LQ0NCgnTt3atCgQZKkkSNHKi0tTStWrPBm6urqtGXLFo0ZM0aSNHr0aEUiEb3//vvezIYNGxSJRLwZAMDxdetTQ83Nzfr888+9z7dv366amhplZ2crOztbFRUVmjp1qgYNGqQdO3bonnvuUU5Ojn784x9LkoLBoG655RbNmzdPAwYMUHZ2tubPn6/hw4d7ryK65JJLNHHiRM2cOVNPPvmkJGnWrFkqKSnhFUMA0BWuG61atcpJ6rCUlZW5gwcPuuLiYjdw4ECXlpbmzj//fFdWVuZqa2sTttHS0uLKy8tddna2y8jIcCUlJR1mGhoa3PTp011mZqbLzMx006dPd42NjSe1r5FIxElykUjkVA8bAM4IXX1c8znnXBI7dMZoampSMBhUJBLhegGAXqGrj2tn1DUCAEDPIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA47o1BO+9954mT56s/Px8+Xw+vfLKKwm3O+dUUVGh/Px8ZWRk6KqrrtJHH32UMBONRjV79mzl5OSoX79+mjJlinbt2pUw09jYqNLSUgWDQQWDQZWWlmrfvn3deWgA0Gt0awgOHDigESNG6PHHH+/09gcffFAPP/ywHn/8cW3cuFGhUEjjx4/X/v37vZk5c+Zo+fLlWrp0qdasWaPm5maVlJQoFot5M9OmTVNNTY2qqqpUVVWlmpoalZaWduehAUDv4XqIJLd8+XLv83g87kKhkLv//vu9dYcOHXLBYNA98cQTzjnn9u3b59LS0tzSpUu9md27dzu/3++qqqqcc859/PHHTpJbv369N7Nu3TonyX3yySdd3r9IJOIkuUgk8k0PEQDOKF19XEvaNYLt27crHA6ruLjYWxcIBDR27FitXbtWklRdXa22traEmfz8fBUWFnoz69atUzAY1KhRo7yZoqIiBYNBb6Yz0WhUTU1NCQsAWJS0EITDYUlSXl5ewvq8vDzvtnA4rPT0dPXv3/+EM7m5uR22n5ub6810prKy0rumEAwGVVBQcErHAwBnq6S/asjn8yV87pzrsO5Yx850Nv9121mwYIEikYi37Ny58yT3HAB6h6SFIBQKSVKHn9rr6+u9s4RQKKTW1lY1NjaecObLL7/ssP2vvvqqw9nGXwsEAsrKykpYAMCipIVgyJAhCoVCWrFihbeutbVVq1ev1pgxYyRJI0eOVFpaWsJMXV2dtmzZ4s2MHj1akUhE77//vjezYcMGRSIRbwYAcHyp3bnx5uZmff75597n27dvV01NjbKzs3X++edrzpw5WrRokYYOHaqhQ4dq0aJF6tu3r6ZNmyZJCgaDuuWWWzRv3jwNGDBA2dnZmj9/voYPH65x48ZJki655BJNnDhRM2fO1JNPPilJmjVrlkpKSjRs2LDuPDwA6B2686VLq1atcpI6LGVlZc65wy8hXbhwoQuFQi4QCLgrr7zSbd68OWEbLS0trry83GVnZ7uMjAxXUlLiamtrE2YaGhrc9OnTXWZmpsvMzHTTp093jY2NJ7WvvHwUQG/T1cc1n3POJbFDZ4ympiYFg0FFIhGuFwDoFbr6uJb0Vw0BAJKLEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYFzSQ1BRUSGfz5ewhEIh73bnnCoqKpSfn6+MjAxdddVV+uijjxK2EY1GNXv2bOXk5Khfv36aMmWKdu3a1dOHAgBnpaSHQJIuu+wy1dXVecvmzZu92x588EE9/PDDevzxx7Vx40aFQiGNHz9e+/fv92bmzJmj5cuXa+nSpVqzZo2am5tVUlKiWCyWjMMBgLNKarJ3QJJSU1MTzgKOcs7p0Ucf1S9/+Utdf/31kqTf/va3ysvL04svvqhbb71VkUhEixcv1nPPPadx48ZJkp5//nkVFBTo7bff1oQJE3r0WADgbHNGnBFs27ZN+fn5GjJkiG666Sb9+c9/liRt375d4XBYxcXF3mwgENDYsWO1du1aSVJ1dbXa2toSZvLz81VYWOjNdCYajaqpqSlhAQCLkh6CUaNG6b/+67/05ptv6qmnnlI4HNaYMWPU0NCgcDgsScrLy0v4mry8PO+2cDis9PR09e/f/7gznamsrFQwGPSWgoKC03xkAHB2SHoIJk2apKlTp2r48OEaN26cXn/9dUmHnwI6yufzJXyNc67DumN93cyCBQsUiUS8ZefOnadwFABw9kp6CI7Vr18/DR8+XNu2bfOuGxz7k319fb13lhAKhdTa2qrGxsbjznQmEAgoKysrYQEAi864EESjUW3dulWDBg3SkCFDFAqFtGLFCu/21tZWrV69WmPGjJEkjRw5UmlpaQkzdXV12rJlizcDADi+pL9qaP78+Zo8ebLOP/981dfX61/+5V/U1NSksrIy+Xw+zZkzR4sWLdLQoUM1dOhQLVq0SH379tW0adMkScFgULfccovmzZunAQMGKDs7W/Pnz/eeagIAnFjSQ7Br1y79/d//vfbu3auBAweqqKhI69ev1+DBgyVJd999t1paWnT77bersbFRo0aN0ltvvaXMzExvG4888ohSU1P1k5/8RC0tLfrbv/1bPfvss0pJSUnWYQHAWcPnnHPJ3okzQVNTk4LBoCKRCNcLAPQKXX1cO+OuEQAAehYhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAuF4Vgl//+tcaMmSI+vTpo5EjR+p///d/k71LAHDG6zUh+N3vfqc5c+bol7/8pTZt2qQrrrhCkyZNUm1tbbJ3DQDOaD7nnEv2TpwOo0aN0t/8zd/oN7/5jbfukksu0XXXXafKysqv/fqmpiYFg0FFIhFlZWV1564CQI/o6uNarzgjaG1tVXV1tYqLixPWFxcXa+3atZ1+TTQaVVNTU8ICABb1ihDs3btXsVhMeXl5Cevz8vIUDoc7/ZrKykoFg0FvKSgo6IldBYAzTq8IwVE+ny/hc+dch3VHLViwQJFIxFt27tzZE7sIAGec1GTvwOmQk5OjlJSUDj/919fXdzhLOCoQCCgQCPTE7gHAGa1XnBGkp6dr5MiRWrFiRcL6FStWaMyYMUnaKwA4O/SKMwJJmjt3rkpLS3X55Zdr9OjR+o//+A/V1tbq5z//ebJ3DQDOaL0mBDfeeKMaGhp07733qq6uToWFhXrjjTc0ePDgZO8aAJzRes37CE4V7yMA0NuYeh8BAOCbIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABiX1BBccMEF8vl8CcsvfvGLhJna2lpNnjxZ/fr1U05Oju688061trYmzGzevFljx45VRkaGzj33XN17771yzvXkoQDAWSs12Ttw7733aubMmd7n55xzjvdxLBbTtddeq4EDB2rNmjVqaGhQWVmZnHN67LHHJElNTU0aP368rr76am3cuFGfffaZZsyYoX79+mnevHk9fjwAcLZJeggyMzMVCoU6ve2tt97Sxx9/rJ07dyo/P1+S9NBDD2nGjBm67777lJWVpRdeeEGHDh3Ss88+q0AgoMLCQn322Wd6+OGHNXfuXPl8vk63HY1GFY1Gvc+bmppO/8EBwFkg6dcIHnjgAQ0YMEDf/e53dd999yU87bNu3ToVFhZ6EZCkCRMmKBqNqrq62psZO3asAoFAwsyePXu0Y8eO437fyspKBYNBbykoKDj9BwcAZ4GkhuCuu+7S0qVLtWrVKpWXl+vRRx/V7bff7t0eDoeVl5eX8DX9+/dXenq6wuHwcWeOfn50pjMLFixQJBLxlp07d56uwwKAs8ppf2qooqJCv/rVr044s3HjRl1++eX6x3/8R2/dd77zHfXv319/93d/550lSOr0qR3nXML6Y2eOXig+3tNCkhQIBBLOIgDAqtMegvLyct10000nnLngggs6XV9UVCRJ+vzzzzVgwACFQiFt2LAhYaaxsVFtbW3eT/2hUKjDT/719fWS1OFMAQDQ0WkPQU5OjnJycr7R127atEmSNGjQIEnS6NGjdd9996murs5b99ZbbykQCGjkyJHezD333KPW1lalp6d7M/n5+ccNDgDgL5J2jWDdunV65JFHVFNTo+3bt+ull17SrbfeqilTpuj888+XJBUXF+vSSy9VaWmpNm3apHfeeUfz58/XzJkzlZWVJUmaNm2aAoGAZsyYoS1btmj58uVatGjRCV8xBAD4Ky5Jqqur3ahRo1wwGHR9+vRxw4YNcwsXLnQHDhxImPviiy/ctdde6zIyMlx2drYrLy93hw4dSpj58MMP3RVXXOECgYALhUKuoqLCxePxk9qfSCTiJLlIJHLKxwYAZ4KuPq75nOMtuNLh9xEEg0FFIhHvbAMAzmZdfVxL+vsIAADJRQgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxnVrCO677z6NGTNGffv21be+9a1OZ2prazV58mT169dPOTk5uvPOO9Xa2pows3nzZo0dO1YZGRk699xzde+998o5lzCzevVqjRw5Un369NGFF16oJ554orsOCwB6ldTu3Hhra6tuuOEGjR49WosXL+5weywW07XXXquBAwdqzZo1amhoUFlZmZxzeuyxxyRJTU1NGj9+vK6++mpt3LhRn332mWbMmKF+/fpp3rx5kqTt27frhz/8oWbOnKnnn39e//d//6fbb79dAwcO1NSpU7vzEAHg7Od6wDPPPOOCwWCH9W+88Ybz+/1u9+7d3rolS5a4QCDgIpGIc865X//61y4YDLpDhw55M5WVlS4/P9/F43HnnHN33323u/jiixO2feutt7qioqIu72MkEnGSvO8LAGe7rj6uJfUawbp161RYWKj8/Hxv3YQJExSNRlVdXe3NjB07VoFAIGFmz5492rFjhzdTXFycsO0JEyboT3/6k9ra2jr93tFoVE1NTQkLAFiU1BCEw2Hl5eUlrOvfv7/S09MVDoePO3P086+baW9v1969ezv93pWVlQoGg95SUFBwWo4JAM42Jx2CiooK+Xy+Ey5/+tOfurw9n8/XYZ1zLmH9sTPuyIXik535awsWLFAkEvGWnTt3dnmfAaA3OemLxeXl5brppptOOHPBBRd0aVuhUEgbNmxIWNfY2Ki2tjbvJ/xQKOT95H9UfX29JH3tTGpqqgYMGNDp9w4EAglPNwGAVScdgpycHOXk5JyWbz569Gjdd999qqur06BBgyRJb731lgKBgEaOHOnN3HPPPWptbVV6ero3k5+f7wVn9OjReu211xK2/dZbb+nyyy9XWlraadlXAOituvUaQW1trWpqalRbW6tYLKaamhrV1NSoublZklRcXKxLL71UpaWl2rRpk9555x3Nnz9fM2fOVFZWliRp2rRpCgQCmjFjhrZs2aLly5dr0aJFmjt3rve0z89//nN98cUXmjt3rrZu3aqnn35aixcv1vz587vz8ACgd+jOly6VlZU5SR2WVatWeTNffPGFu/baa11GRobLzs525eXlCS8Vdc65Dz/80F1xxRUuEAi4UCjkKioqvJeOHvXuu++6733vey49Pd1dcMEF7je/+c1J7SsvHwXQ23T1cc3n3DFv0TWqqalJwWBQkUjEOxsBgLNZVx/X+F1DAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYFy3/qlKoDdoj8XVFnNqi8fVHjtz3ojvk5Sa4lNail/pKX75/Z3/ynXg6xACmBePO/2/g61qPtSulraYDrXF1NoeV2ssrrZYXPF4svewa1JSfEpP8Ss91a9Aql990lKUkZaiYN80ZfXht/Di+AgBzGuLx9XU0qamQ+06EG3XobaYzsbfwBWLObXEYmppjSnF71NGeorOCaTK5xMhwAkRApgXSE3RhQPP8T53zinaHtehtpii7XFF2+JqjR35uD1++Gyh/fDZQk8Hw++X0lNSFEjzez/9Hz0DCKQeXt8nNUXpqVz+Q9cRAuAYPp9PfdJS1Cct5YRzR4MRbYvrUPvhn8QPtsa0/1Cb9h9q/8bfP8XvU1ZGmjL7pCrjyH70STv8QM8DPLoDIQC+ob8ORlCJT718tT+qD3buO+ltpqf6VXThAB7w0aMIAXCaHGqLaW9zVHubW9XQHP1G22htj2vdnxs08JyAcjLTld03XakpRAHdixAAp8H/O9Cqzbsjams/9ZcYtbXHtWdfi/bsa1Fmn1R97/z+nCGgWxEC4DTI7peusRcN1On+g39H/y43Tr943CnmnOLOKR7X4X+74eq/z+dTis8nn+/w9Z8Un++Me88HIQBOIx64z2yH2mKKtBy+mL/vYKv2HWzr8X04p0+qBvRL1zl9UpXVJ039Asl/GE7+HgDAKYq2x7T/UHuHl/e2xeJqjzvFOlmSpflQu5oPtcvvl1L8fqX6ffL7fErx+5R65E2BR/9NSzn8xsDMPqlf+yq2U0EIAJz1AqkpCpxz/AfKv34ayLnDTwPF4k5xd/hlwEf/7S4+n09+31/+TTny4O/zSX6f78iSvDNKQgCg1/P7ffKLp+2Oh5ciAIBxhAAAjCMEAGAcIQAA4wgBABhHCADAOEIAAMYRAgAwjhAAgHGEAACMIwQAYBwhAADjCAEAGEcIAMA4QgAAxhECADCOEACAcYQAAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxqcnegTOFc06S1NTUlOQ9AYDT4+jj2dHHt+MhBEfs379fklRQUJDkPQGA02v//v0KBoPHvd3nvi4VRsTjce3Zs0eZmZny+XzJ3p3jampqUkFBgXbu3KmsrKxk7w6+Ae7Ds9/Zch8657R//37l5+fL7z/+lQDOCI7w+/0677zzkr0bXZaVlXVG/weIr8d9ePY7G+7DE50JHMXFYgAwjhAAgHGE4CwTCAS0cOFCBQKBZO8KviHuw7Nfb7sPuVgMAMZxRgAAxhECADCOEACAcYQAAIwjBABgHCFIohkzZsjn88nn8yktLU15eXkaP368nn76acXj8YTZTZs26YYbblBeXp769Omjiy66SDNnztRnn30mSdqxY4e3LZ/Pp8zMTF122WW64447tG3btmQcXq+TrPtr2bJlGj9+vAYOHKisrCyNHj1ab775Zo8dd29x9P67//77E9a/8sornf5amWHDhik9PV27d+/ucNtVV13V6bYk6Yc//KF8Pp8qKio6zPt8PgUCAZ177rmaPHmyli1bduoHdhoQgiSbOHGi6urqtGPHDv3xj3/U1VdfrbvuukslJSVqb2+XJP3hD39QUVGRotGoXnjhBW3dulXPPfecgsGg/vmf/zlhe2+//bbq6ur0wQcfaNGiRdq6datGjBihd955JxmH1+sk4/567733NH78eL3xxhuqrq7W1VdfrcmTJ2vTpk09euy9QZ8+ffTAAw+osbHxhHNr1qzRoUOHdMMNN+jZZ5/tdKagoEDPPPNMwro9e/Zo5cqVGjRoUIf5mTNnqq6uTp9//rn+53/+R5deeqluuukmzZo16xsfz2njkDRlZWXuRz/6UYf177zzjpPknnrqKXfgwAGXk5Pjrrvuuk630djY6Jxzbvv27U6S27RpU8LtsVjMXXXVVW7w4MGuvb39NB+BLWfS/XXppZe6X/3qV9/0UEwqKytzJSUl7uKLL3b/9E//5K1fvny5O/ahcMaMGe4Xv/iF++Mf/+guvPBCF4/HE24fO3asu+2229yAAQPcmjVrvPX33Xefmzx5shsxYoRbuHBhwvxdd93VYZ+efvppJ8mtWLHi9BzkN8QZwRnommuu0YgRI7Rs2TK9+eab2rt3r+6+++5OZ7/1rW+dcFt+v1933XWXvvjiC1VXV3fD3qKn7694PK79+/crOzv7VHfdnJSUFC1atEiPPfaYdu3a1enM/v379d///d+6+eabNX78eB04cEDvvvtuh7n09HRNnz494azg2Wef1c9+9rMu709ZWZn69++f9KeICMEZ6uKLL9aOHTu854svvvjiU9qWdPh5aXSPnry/HnroIR04cEA/+clPvvH3sOzHP/6xvvvd72rhwoWd3r506VINHTpUl112mVJSUnTTTTdp8eLFnc7ecssteumll3TgwAG99957ikQiuvbaa7u8L36/XxdddFHS/7/Jr6E+Qznn5PP5vvYvC3V1W5LO6L+zcLbrqftryZIlqqio0Kuvvqrc3NxT/l5WPfDAA7rmmms0b968DrctXrxYN998s/f5zTffrCuvvFL79u3rcEb3ne98R0OHDtXLL7+sVatWqbS0VGlpaSe1L0f/20kmzgjOUFu3btWQIUN00UUXSZI++eSTU9qWJA0ZMuS07Bs66on763e/+533E+i4ceO++c5CV155pSZMmKB77rknYf3HH3+sDRs26O6771ZqaqpSU1NVVFSklpYWLVmypNNt/exnP9O///u/6+WXXz6pp4UkKRaLadu2bUn//yYhOAOtXLlSmzdv1tSpU1VcXKycnBw9+OCDnc7u27fvhNuKx+P6t3/7Nw0ZMkTf+973umFv0RP315IlSzRjxgy9+OKLJ/XUA47v/vvv12uvvaa1a9d66xYvXqwrr7xSH3zwgWpqarzl7rvvPu7TQ9OmTdPmzZtVWFioSy+99KT24be//a0aGxs1derUUzqWU8VTQ0kWjUYVDocVi8X05ZdfqqqqSpWVlSopKdFPf/pTpaSk6D//8z91ww03aMqUKbrzzjv17W9/W3v37tVLL72k2tpaLV261NteQ0ODwuGwDh48qC1btujRRx/V+++/r9dff10pKSlJPNLeIRn315IlS/TTn/5U//qv/6qioiKFw2FJUkZGRpf++hQ6N3z4cE2fPl2PPfaYJKmtrU3PPfec7r33XhUWFibM/sM//IMefPBBffDBBxoxYkTCbf3791ddXd3XPiV08OBBhcNhtbe3a/fu3Vq2bJkeeeQR3Xbbbbr66qtP78GdrCS+Ysm8srIyJ8lJcqmpqW7gwIFu3Lhx7umnn3axWCxhduPGje766693AwcOdIFAwH372992s2bNctu2bXPO/eXliEeXvn37uksuucTdfvvt3gxOTbLur7FjxybMHl3Kysp66tB7hc5e/rtjxw4XCAScJPfyyy87v9/vwuFwp18/fPhwN3v2bOfc8V8OelRnLx89er+lp6e7QYMGuZKSErds2bJTPazTgr9HAADGcY0AAIwjBABgHCEAAOMIAQAYRwgAwDhCAADGEQIAMI4QAIBxhAAAjCMEAGAcIQAA4/4/954VRyItb+4AAAAASUVORK5CYII=", "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": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "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": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "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. , 0.24545978, 0.60069985],\n", " [0.24545978, 0. , 0.59556372],\n", " [0.60069985, 0.59556372, 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. , 0.06153911, 0.05076614],\n", " [0.06153911, 0. , 0.03881675],\n", " [0.05076614, 0.03881675, 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": "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": "5edc5d8d8cbc0935a054a8e44024f729bc376180aae27775d15f2ff38c68f892" } } }, "nbformat": 4, "nbformat_minor": 2 }