{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "options(repr.plot.width = 7, repr.plot.height = 6)\n", "options(jupyter.plot_mimetypes = c('application/pdf', 'image/png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quickstart\n", "=====\n", "\n", "A short version to achive the above is by using the preprocessed version of the dataset provided with this package. `data(guo)` is already preprocessed (using the method first mentioned), has its threshold set to a constant 15 and is ready to use. Since the platform’s maximum amplification cycles are 40, that number can be used as upper border of the uncertainty range." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "library(destiny)\n", "data(guo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be used directly for diffusion map creation:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "DiffusionMap (20 Diffusion components and 428 samples)\n", "eigenvalues: num [1:20] 0.955 0.847 0.784 0.764 0.687 ...\n", "eigenvectors: num [1:428, 1:20] 0.119 0.117 0.104 0.111 0.116 ...\n", " ..colnames: chr [1:20] \"DC1\" \"DC2\" \"DC3\" \"DC4\" ...\n", "optimal_sigma: num [1:428] 7.41 7.56 9.09 6.62 6.29 ...\n", "distance: chr \"euclidean\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dm_guo <- DiffusionMap(guo, verbose = FALSE,\n", " censor.val = 15, censor.range = c(15, 40))\n", "dm_guo" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/pdf": 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icNkUQMgW4MTQod53m+QhN4ctUq2vW8ZLpqFX1Hw6y7I4ZgQMQQ6Mbg0+jXMw0B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\nZWNvZGUKICAgL1N1YnR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XM/Pz9LlwNYC4KduRHsAABAOeFSLAAA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\nympuEVdX1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6jfv161fka7hx40btxBku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\nb9HV1bVs2bKDBw8GBQVt3ry5sLCQ7J9PAHwKyd8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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm_guo, pch = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "using the annotation shows that the approximation worked" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/pdf": 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DPN4tqskYy6spl2KaCY8v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\nc3RhcnR4cmVmCjI0OTgxCiUlRU9GCg==", 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wxIdua+90B2hRBizh2nvp/rfWL+Z10s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\nf/xmYvbSjS8340ohP7L1unXrVq1aJRKJtmzZMn/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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "palette(cube_helix(6))\n", "plot(dm_guo, col_by = 'num_cells', pch = 20,\n", " legend_main = 'Cell stage')" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.3.1" } }, "nbformat": 4, "nbformat_minor": 0 }