{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "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": {}, "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": {}, "outputs": [ { "data": { "text/plain": [ "DiffusionMap (20 Diffusion components and 428 observations)\n", "eigenvalues: num [1:20] 0.954 0.846 0.798 0.776 0.703 ...\n", "eigenvectors: num [1:428, 1:20] -0.0576 -0.0574 -0.0495 -0.0495 -0.0511 ...\n", " ..colnames: chr [1:20] \"DC1\" \"DC2\" \"DC3\" \"DC4\" ...\n", "optimal_sigma: num [1:428] 7.69 7.63 9.19 6.76 6.35 ...\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": {}, "outputs": [ { "data": { "application/pdf": 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Agw++ka6V2Zk7749dGBMzNwJhhRGsoeIZ4fxtjbXuQDNIFvt0CQdnClMDaGKYvl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\nDcUYyWem90pvmlA8QD4/SKCGtF2s7d+AmzeUtK10NTh76owcamt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5Ur/PHgMDMrAOAcR48dMGX0TSRnVnn6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\nTVaP6Fs8bgAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm_guo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "using the annotation shows that the approximation worked" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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Al8skmF+yjX/dTG8D5qOUK0ny+w308NBj8K91GbiojX/dTvt0yxL591I+TnwuCW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jBoFSp6Hj14UqVS9Rvco9/gHnqdXqfXmZmZ6fX69o36tuvcQumAAAADwp/7gEHr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f3uuXOM6QlgwAlqykATdOVSQ54g2wZgNJ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\nzOJkWVZ6BgAAAAAYBrhHBAAAAMA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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "palette(cube_helix(6))\n", "plot(dm_guo, col_by = 'num_cells',\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": "3.5.0" } }, "nbformat": 4, "nbformat_minor": 2 }