{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Graph editing and complex topologies\n", "We can edit principal graphs or build principal graphs with complex topologies by adding/deleting paths between nodes.\n", "\n", "Let's start by creating a more complex dataset to fit" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import elpigraph\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "np.random.seed(0)\n", "\n", "# load toy data\n", "X_tree = np.loadtxt('../data/tree_data.csv',delimiter=',')[:,:2]\n", "n = 30\n", "x = np.repeat(1.2,n) + np.random.normal(scale=.05,size=n)\n", "y = np.linspace(0,1,n)\n", "\n", "X_tree_loop = np.vstack((X_tree, np.hstack((x[:,None],y[:,None]))))\n", "plt.scatter(*X_tree_loop.T)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can fit a principal graph with tree topology to the dataset, but it won't capture the loop" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pg_tree = elpigraph.computeElasticPrincipalTree(\n", " X_tree_loop,NumNodes=30,\n", " Do_PCA=False,CenterData=False,\n", " MaxNumberOfGraphCandidatesDict={\"AddNode2Node\":20,\"BisectEdge\":10,\"ShrinkEdge\":10})[0]\n", "elpigraph.plot.PlotPG(X_tree_loop,pg_tree,Do_PCA=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case we can add paths to the graph by fitting principal curves between two nodes.\n", "\n", "After adding the paths, the entire graph can optionally be refitted. \n", "\n", "Elasticity parameters of cycle edges can be tuned separately and setting them lower can sometimes give better results" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "new_pg = elpigraph._graph_editing.addPath(X_tree_loop,pg_tree,4,25,refit_graph=False)\n", "new_pg_refit = elpigraph._graph_editing.addPath(X_tree_loop,pg_tree,4,25,refit_graph=True)\n", "new_pg_refit2 = elpigraph._graph_editing.addPath(X_tree_loop,pg_tree,4,25,refit_graph=True,Mu=.1,Lambda=.01,cycle_Mu=.01,cycle_Lambda=.001)\n", "f,axs=plt.subplots(1,3,figsize=(20,5))\n", "axs=axs.flat\n", "axs[0].set_title('Adding path without refitting graph')\n", "axs[1].set_title('Adding path and refitting graph')\n", "axs[2].set_title('Adding path and refitting graph \\nUsing:\\n cycle_Mu = Mu/10 \\ncycle_Lambda = Lambda/10')\n", "elpigraph.plot.PlotPG(X_tree_loop,new_pg,Do_PCA=False,ax=next(axs))\n", "elpigraph.plot.PlotPG(X_tree_loop,new_pg_refit,Do_PCA=False,ax=next(axs))\n", "elpigraph.plot.PlotPG(X_tree_loop,new_pg_refit2,Do_PCA=False,ax=next(axs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also guess paths to add based on simple heuristics, e.g.: the path connects nodes that are close in space, \n", "\n", "far along the graph and the resulting cycle doesn't contain many points\n", "\n", "This is implemented by findPaths()." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using default parameters: max_n_points=26, radius=0.52, min_node_n_points=2, min_path_len=6, nnodes=6\n", "testing 0 candidates\n", "Found no valid path to add\n" ] } ], "source": [ "new_PG = elpigraph.findPaths(X_tree_loop,pg_tree,verbose=1,plot=True,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Default parameters (radius in particular) are too strict and no candidates are found. \n", "\n", "We can make the search more permissive by changing parameters" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using default parameters: max_n_points=26, radius=1.00, min_node_n_points=2, min_path_len=6, nnodes=6\n", "testing 22 candidates\n", "Suggested paths:\n", " source node target node inner fraction MSE n° of points in path\n", " 25 4 0.134 0.0047 101\n" ] } ], "source": [ "# printing suggestions with verbose\n", "new_PG = elpigraph.findPaths(X_tree_loop,pg_tree,max_inner_fraction=.15,radius=1,verbose=1)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plotting suggestions with plot\n", "new_PG = elpigraph.findPaths(X_tree_loop,pg_tree,max_inner_fraction=.15,radius=1,plot=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output PG dictionary contains the graph with all suggested paths added. In this case we only added one" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "elpigraph.plot.PlotPG(X_tree_loop,new_PG,Do_PCA=False)" ] } ], "metadata": { "interpreter": { "hash": "45f36c84640d0e099547e6a94a70a71b9b33a6325c75bdb8daedd15a937919cf" }, "kernelspec": { "display_name": "Python 3.7.7 ('wip')", "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": "3.7.7" }, "orig_nbformat": 2 }, "nbformat": 4, "nbformat_minor": 2 }