{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Receiver operator characteristic curves\n", "=======================================\n", "\n", "Receiver operator characteristic (ROC) curves illustrate the ability of\n", "per-nucleotide data to predict base-paired vs. single stranded nucleotides.\n", "RNAvigate's ROC plot draws the ROC curve for all values and for each\n", "nucleotide. RNAvigate calculates the area under the ROC curve (AUC) and\n", "displays it in the legend. Higher values, approaching 1, are better, while 0.5\n", "is not better than random guessing.\n", "\n", "In short, a threshold value splits the per-nucleotide data. The fraction of\n", "nucleotides above this threshold that are single-stranded is the True Positive\n", "Rate (TPR). The fraction of base-paired nucleotides that fall above the\n", "threshold is the False Positive Rate (FPR). The ROC curve connects the TPR and\n", "FPR of every possible threshold value. Perfect predictors, at some point,\n", "acheive a TPR of 1 and FPR of 0. The area under this curve would be 1." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import rnavigate as rnav\n", "from rnavigate.examples import rnasep_1, rnasep_2, rnasep_3, rnasep_4\n", "\n", "plot = rnav.plot_roc(\n", " samples=[rnasep_1, rnasep_2, rnasep_3, rnasep_4],\n", " structure=\"ss_ct\",\n", " profile=\"shapemap\",\n", ")\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_roc in module rnavigate.plotting_functions:\n", "\n", "plot_roc(samples, structure, profile, labels=None, nts='AUCG', plot_kwargs=None)\n", " Performs receiver operator characteristic analysis (ROC), calculates\n", " area under ROC curve (AUC), and generates ROC plots to assess how well\n", " per-nucleotide data predicts base-paired status. Does this for all\n", " positions as well as positions categorized by nucleotide\n", " 5 plots: All, A, U, C, G\n", " \n", " Parameters\n", " ----------\n", " samples : list of rnavigate Samples\n", " samples used to retrieve data\n", " structure : data keyword string or data object\n", " secondary structure to use as classifier (paired or unpaired)\n", " profile data for each sample is first aligned to this structure\n", " profile : data keyword string or data object\n", " per-nucleotide data to perform ROC analysis\n", " labels : list of strings, defaults to sample.sample for each sample\n", " list containing Labels to be used in plot legends\n", " nts : string, defaults to \"AUCG\"\n", " which nucleotides to plot nucleotide-type ROC plots\n", " plot_kwargs : dict, defaults to {}\n", " Keyword-arguments passed to matplotlib.pyplot.subplots\n", " \n", " Returns\n", " -------\n", " rnavigate.plots.ROC\n", " object containing matplotlib figure and axes with additional plotting and\n", " file saving methods\n", "\n" ] } ], "source": [ "help(rnav.plot_roc)\n" ] } ], "metadata": { "kernelspec": { "display_name": "RNAvigate", "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": "3.9.2" } }, "nbformat": 4, "nbformat_minor": 2 }