{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "# Table of Contents\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mixing Bloom Filters, MinHashes and SBT\n", "\n", "- `Nodegraph` can work as a regular Bloom Filter,\n", " if you ignore k-size and use `count` directly by sending integers.\n", " (This is limited to 64-bit ints,\n", " since that's what the implementation supports).\n", " It works with the values in the signatures created with Sourmash,\n", " so that's what I'm using for now.\n", " \n", "- Initial SBT implementation comes from https://github.com/dib-lab/2015-09-10-scihack,\n", " which was based on https://github.com/ctb/2015-sbt-demo.\n", " The scihack version adds **better tree balancing** (all leaves are always in the last or second-to-last level),\n", " **saving and loading** from disk,\n", " and methods for **printing the tree** (for easier debugging).\n", " I extended it by supporting **different types of Leaf classes**\n", " and moving from a binary to a **n-ary** tree (might work better with lots of Leaves)\n", " \n", "- I'm using the same signatures from the **sourmash** _urchin_ demo." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:47.500678", "start_time": "2016-10-30T17:54:47.491020" }, "collapsed": false }, "outputs": [], "source": [ "cd -q .." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:47.723952", "start_time": "2016-10-30T17:54:47.510155" }, "collapsed": false, "init_cell": true, "scrolled": false }, "outputs": [], "source": [ "from collections import defaultdict\n", "from glob import glob\n", "import os\n", "from functools import partial\n", "\n", "from IPython.display import Image\n", "\n", "from sourmash_lib import signature\n", "from sbt import SBT, GraphFactory, Node\n", "from sbtmh import search_minhashes, SigLeaf" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:47.733723", "start_time": "2016-10-30T17:54:47.728680" }, "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "factory = GraphFactory(31, 1e5, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SBT methods\n", "\n", "We'll use a reduced dataset to demonstrate the SBT methods (only `lividus-*` signatures, and a binary tree)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:47.868715", "start_time": "2016-10-30T17:54:47.741165" }, "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "sig_to_search = \"urchin/lividus-SRR1735497.sig\"\n", "with open(sig_to_search, 'r') as data:\n", " to_search = signature.load_signatures(data)[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We build trees by adding leaves with the `add_node` method,\n", "which takes care of positioning the leaf in the tree and updating internal nodes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:48.315529", "start_time": "2016-10-30T17:54:47.875549" }, "collapsed": false, "scrolled": true }, "outputs": [], "source": [ "tree = SBT(factory)\n", "for f in glob(\"urchin/lividus*.sig\"):\n", " with open(f, 'r') as data:\n", " sig = signature.load_signatures(data)\n", " leaf = SigLeaf(os.path.basename(f), sig[0])\n", " tree.add_node(leaf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Printing\n", "\n", "There are two printing methods:\n", "- `print`, a simple ASCII tree\n", "- `print_dot`, which can be fed into GraphViz" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:48.320407", "start_time": "2016-10-30T17:54:48.316897" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " *Node:internal.0 [occupied: 1587, fpr: 6.4e-08]\n", " *Node:internal.2 [occupied: 1020, fpr: 1.1e-08]\n", " **Leaf:lividus-SRR1735498.sig -> lividus-SRR1735498.sig\n", " *Node:internal.5 [occupied: 787, fpr: 3.8e-09]\n", " **Leaf:lividus-SRR1735497.sig -> lividus-SRR1735497.sig\n", " **Leaf:lividus-SRR1735496.sig -> lividus-SRR1735496.sig\n", " *Node:internal.1 [occupied: 1207, fpr: 2.1e-08]\n", " *Node:internal.4 [occupied: 750, fpr: 3.2e-09]\n", " **Leaf:lividus-SRR1735499.sig -> lividus-SRR1735499.sig\n", " **Leaf:lividus-SRR1735501.sig -> lividus-SRR1735501.sig\n", " *Node:internal.3 [occupied: 848, fpr: 5.2e-09]\n", " **Leaf:lividus-SRR1735500.sig -> lividus-SRR1735500.sig\n", " **Leaf:lividus-SRR1664663.sig -> lividus-SRR1664663.sig\n" ] } ], "source": [ "tree.print()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:48.328002", "start_time": "2016-10-30T17:54:48.323208" }, "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "%%capture dag\n", "tree.print_dot()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2016-10-30T17:54:48.583981", "start_time": "2016-10-30T17:54:48.329471" }, "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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e1eeff66RI0eaHdVmzJ8/X3//+991+PBh1atXz+w4AAA7c/r0aQUHB2vGjBnM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