{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Principles of a bootstrap analysis of stable clusters\n", "This tutorial illustrates the basic principles behind the \"Bootstrap Analysis of Stable Clusters (BASC)\" algorithm, using basic simulations. \n", " * **More documentation**: You can check the following [video](https://www.youtube.com/watch?v=4yAUB-FHyv0&t=751s) for a presentation of the algorithm, as well as applications to resting-state and task-based fMRI. \n", " * **.m script**: The notebook and associated .m script are available [here](https://nbviewer.jupyter.org/github/SIMEXP/niak_tutorials/blob/master/niak_tutorial_basc_principles.ipynb).\n", " * **Time for completion**: this tutorial will take 5-10 minutes to complete. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We are going to simulate data with a cluster structure. Let's assume we have 100 subjects, 300 brain regions and 3 clusters. The `alpha` parameter will control for the strength of the clustering. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "nb_subject = 100; % # of subjects\n", "nb_roi = 300; % # of regions\n", "nb_cluster = 3; % # of clusters \n", "alpha = 0.3; % this parameter controls the \"strength\" of the clustering. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The simulations just consist of random gaussian noise. We add a single (random) single signal to all regions within a cluster. All clusters are set to have the same size. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "y = randn(nb_subject,nb_roi);\n", "ind = floor(linspace(1,nb_roi,nb_cluster+1));\n", "for cc = 1:nb_cluster\n", " cluster = ind(cc):ind(cc+1);\n", " y(:,cluster) = y(:,cluster) + alpha*repmat(randn(nb_subject,1),[1 length(cluster)]);\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We compute the spatial correlation matrix (across subjects) to see how the cluster structure looks. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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M/GiU+oTwFEKieA7SczkeH4+6TpRI6KyEu8QqD6iyPPEh9YnAirYkA+R+z1sS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jQS70XY5MrMCieWxrvETa/0MnDDASo8n8KVarlo2yyUV+B3maRlJG43MFOryq3DZFd45VsW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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = corr(y);\n", "title('Spatial correlation matrix')\n", "imagesc(R), axis square, colormap(jet), colorbar" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "the cluster structure is clear, but noisy. Let's run a hierarchical clustering and see if we can recover it. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Percentage done : 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Done ! \n" ] }, { "data": { "image/png": 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rC6UPIyQAgAoUJACAChQkAIAKFCQAgAprNqmBxVWrYnHV/LEsrsriqrgcLK7q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\nYhkN6l56dXEs7NJ0LS9IAIC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hier = niak_hierarchical_clustering(R); % The similarity-based hierarchical clustering\n", "part = niak_threshold_hierarchy(hier,struct('thresh',3)); % threshold the hierarchy to get 3 clusters\n", "niak_visu_part(part) % visualize the partition" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In this representation, if a pair of region is in cluster `I`, a `I` is shown in the matrix. If the clustering had done a perfect job, we would have squares on the diagonal. Note that the adjacency matrix representation of the clustering is the same as this representation, but with all non-zero entries coded as 1 (we don't care about the actual label of clusters, as these are arbitrary). It looks like the hierarchical clustering did an OK job here. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A small aside note here. Note that we simulated the data with a simple order (cluster 1, then cluster 2, etc). In real life we don't know the order. We can use the hierarchical clustering to estimate it though:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Ul7MmKclAa6ftN+pD1I/5fe25KXURNV91ypFd85WJqAU0I2hI48hxbSEawqLK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "order = niak_hier2order(hier); % order the regions based on the hierarchy\n", "subplot(1,2,1)\n", "% Re-order the correlation matrix\n", "title('re-ordered correlation matrix')\n", "imagesc(R(order,order)), axis square, colorbar\n", "subplot(1,2,2)\n", "% Show the re-ordered partition\n", "title('re-ordered partition')\n", "niak_visu_part(part(order)), axis square" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "with that ordering, by construction the solution of the hierarchical clustering are squares on the diagonal. If you are lucky, the similarity matrix will also look like it has squares on the diagonal. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now it is time to implement a boostrap analysis of stable clusters. The steps of the algorithm are as follows: \n", " * Let's start by resample the data many times\n", " * re-run the clustering on each replication\n", " * represent each cluster solution as an adjacency matrix\n", " * compute the average of the adjacency matrix. This matrix, called stability or co-occurence, tells you the frequency at which a pair of regions fall into the same cluster. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Percentage done: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100\n" ] } ], "source": [ "nb_samp = 30;\n", "opt_b.block_length = 1; % That's a parameter for the bootstrap. We treat the subjects as independent observations. \n", "for ss = 1:nb_samp\n", " niak_progress(ss,nb_samp)\n", " y_s = niak_bootstrap_tseries(y,opt_b); % Bootstrap the subjects\n", " R_s = corr(y_s); % compute the correlation matrix for the bootstrap sample\n", " hier = niak_hierarchical_clustering(R_s,struct('flag_verbose',false)); % replication the hierarchical clustering\n", " part = niak_threshold_hierarchy(hier,struct('thresh',nb_cluster)); % Cut the hierarchy to get clusters\n", " mat = niak_part2mat(part,true); % convert the partition into an adjacency matrix\n", " if ss == 1; stab = mat; else stab = stab+mat; end; % Add all adjacency matrices\n", "end\n", "stab = stab / nb_samp; % Divide by the number of replications to get the stability matrix" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Let's have a look at the stability matrix:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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kPwT+q3d30X73Y0g/ij+hNxTnB+VtlMGP2vRPzpYAahsDKHZxGUYRysVuVIe+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\nuCSFE4nna2K07efUMKRtWF6XTrnQn3LLGmHKMtnhG0q3j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imagesc(stab), axis square, colormap(jet), colorbar" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Looks like the clusters are pretty stable. Also note that the stability matrix ressembles a lot the original similarity matrix, except that the cluster structure is much cleaner. So let's use this stability matrix as the input of a new clustering! We are now looking for clusters of regions which have a high probability of falling into the same clusters. This step is called consensus clustering. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Percentage done : 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Done ! \n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hier_consensus = niak_hierarchical_clustering(stab); % run a hierarchical clustering on the stability matrix\n", "part_consensus = niak_threshold_hierarchy(hier_consensus,struct('thresh',nb_cluster)); % cut the consensus hierarchy\n", "niak_visu_part(part_consensus), axis square, colormap(jet) % visualize the consensus partition" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Still not perfect but a bit better... In general the consensus cluster has better performance than the individual cluster solution. This is a general machine learning approach called bagging (for bootstrap aggregation)." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One last question. Which region in the consensus cluster #1 (for example) are actually stable? We can combine the sability matrix and the consensus clusters to answer this question. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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E6Xq9Mr9nFGzhly9fxGPe3t5YJt5Is5eSgd73cDvLQnwtmOlMSQG8r+Z5WJYs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\nUTvL8eyvfMscSS+1Yb1B8XvUk5uiHFL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "map = mean(stab(:,part_consensus==1),2); % Stability \"map\" of the first consensus cluster\n", "plot(map)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "For each region, we have the average stability between this region and all regions in consensus cluster #1 (which happen to be very close to our simulated cluster #1, but it could be any other cluster). For regions in the true cluster, the stability is about 0.6, while in other regions, it is about 0.25. Not bad. An ideal situation would be 1 within cluster, and 0 between cluster. We can also see each region happen to be less stable in that cluster. If each region corresponded to a parcel in the brain, we could represent this vector as a brain map. " ] } ], "metadata": { "kernelspec": { "display_name": "Octave", "language": "octave", "name": "octave" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "GNU Octave", "url": "https://www.gnu.org/software/octave/support.html" }, { "text": "Octave Kernel", "url": "https://github.com/Calysto/octave_kernel" }, { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "octave", "version": "4.0.2" } }, "nbformat": 4, "nbformat_minor": 0 }