{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Learning CStree using Gibbs sampler" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows how to learn a CStree from observational data using McMC (Gibbs) sampling to approximate the posterior order distribution. " ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "import sys\n", "import logging\n", "import random\n", "\n", "from causallearn.search.ConstraintBased.PC import pc\n", "from causallearn.utils.cit import chisq\n", "\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import cslearn.cstree as ct\n", "import cslearn.scoring as sc\n", "import cslearn.stage as st\n", "import cslearn.learning as ctl\n", "import networkx as nx\n", "import numpy as np\n", "import pp\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sample a random CStree" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We sample a 4-variables random CStree." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "np.random.seed(22)\n", "random.seed(22)\n", "p = 4\n", "cards = [2] * p # state space cardinalities\n", "\n", "t = ct.sample_cstree(cards, max_cvars=2, prob_cvar=0.5, prop_nonsingleton=1)\n", "t.labels = [\"a\", \"b\", \"c\", \"d\"]\n", "t.sample_stage_parameters(alpha=2)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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"-\n", "\n", "-\n", "\n", "\n", "\n", "-->a\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ ">" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get the minimal context DAGs" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of minimal contexts: 2\n" ] } ], "source": [ "agraphs = t.to_minimal_context_agraphs()\n", "print(\"Number of minimal contexts:\", len(agraphs))" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Context: None\n" ] }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "a\n", "\n", "a\n", "\n", "\n", "\n", "b\n", "\n", "b\n", "\n", "\n", "\n", "d\n", "\n", "d\n", "\n", "\n", "\n", "b->d\n", "\n", "\n", "\n", "\n", "\n", "c\n", "\n", "c\n", "\n", "\n", "\n", "c->d\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ ">" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "keys = list(agraphs.keys())\n", "print(\"Context:\", keys[0])\n", "agraphs[keys[0]]" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Context: b=1\n" ] }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "a\n", "\n", "a\n", "\n", "\n", "\n", "c\n", "\n", "c\n", "\n", "\n", "\n", "a->c\n", "\n", "\n", "\n", "\n", "\n", "d\n", "\n", "d\n", "\n", "\n", "\n", "a->d\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ ">" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "keys = list(agraphs.keys())\n", "print(\"Context:\", keys[1])\n", "agraphs[keys[1]]" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "np.random.seed(6)\n", "x = t.sample(2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create the score tables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When creating the score tables, we restrict the possible context variables for each node by the parents estimated by PC algorithm." ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Depth=1, working on node 3: 100%|██████████| 4/4 [00:00<00:00, 1812.38it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Possible context variables per node: {'a': [], 'b': ['d'], 'c': ['d'], 'd': ['b', 'c']}\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "pcgraph = pc(x[1:].values, 0.05, \"chisq\", node_names=x.columns)\n", "poss_cvars = ctl.causallearn_graph_to_posscvars(pcgraph, labels=x.columns)\n", "print(\"Possible context variables per node:\", poss_cvars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create the score tables" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Context score tables: 100%|██████████| 4/4 [00:00<00:00, 426.29it/s]\n", "Creating #stagings tables: 100%|██████████| 4/4 [00:00<00:00, 16070.13it/s]" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "Order score tables: 100%|██████████| 4/4 [00:00<00:00, 5970.54it/s]\n" ] } ], "source": [ "score_table, context_scores, context_counts = sc.order_score_tables(\n", " x, max_cvars=2, alpha_tot=1.0, method=\"BDeu\", poss_cvars=poss_cvars\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run the Gibbs sampler" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Gibbs order sampler: 100%|██████████| 5000/5000 [00:00<00:00, 18999.33it/s]\n" ] } ], "source": [ "orders, scores = ctl.gibbs_order_sampler(5000, score_table)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trajectory score plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the first 200 iterations of the order score trajectory." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(scores[:200]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variables order positions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To further investigate the McMC trajectory we find the individual variables positions/levels in the orders and plot these. This gives an overview of the mixing properties of the sampler and if the trajectory seems to have converged." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "var_positions = {var: [x.index(var) for x in orders] for var in orders[0]}\n", "var_positions[\"iteration\"] = list(range(len(orders)))\n", "plotdf = pd.DataFrame(var_positions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assuming that the majority of probability mass is centered around the order corresponding to the true CStree (though there could be many or them), the a-line should converge to 0 (i.e. position 0), the b-line should converge to 1, and so on." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotdf[:100].plot(x=\"iteration\", y=range(p), yticks=range(len(orders[0])));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the maximal scoring order" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['b', 'd', 'a', 'c']" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maporder = orders[scores.index(max(scores))]\n", "maporder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the maximal scoring CStree for the order" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [], "source": [ "opttree = ctl._optimal_cstree_given_order(maporder, context_scores)" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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bdacPROB_0PROB_1
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" ], "text/plain": [ " b d a c PROB_0 PROB_1\n", "0 2 2 2 2 NaN NaN\n", "1 0 - - - 0.352174 0.647826\n", "2 1 - - - 0.847140 0.152860\n", "3 * * - - 0.353646 0.646354\n", "4 * * * - 0.300699 0.699301\n", "5 - - - - 0.746753 0.253247" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opttree.estimate_stage_parameters(x, alpha_tot=2.0, method=\"BDeu\")\n", "\n", "opttree.to_df(write_probs=True)" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "()\n", "\n", "ø\n", "\n", "\n", "\n", "(1,)\n", "\n", "1\n", "\n", "\n", "\n", "()->(1,)\n", "\n", "\n", "0.25\n", "\n", "\n", "\n", "(0,)\n", "\n", "0\n", "\n", "\n", "\n", "()->(0,)\n", "\n", "\n", "0.75\n", "\n", "\n", "\n", "(1, 1)\n", "\n", "1\n", "\n", "\n", "\n", "(1,)->(1, 1)\n", "\n", "\n", "0.15\n", "\n", "\n", "\n", "(1, 0)\n", "\n", "0\n", "\n", "\n", "\n", "(1,)->(1, 0)\n", 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0, 0, 0)\n", "\n", "\n", "0.3\n", "\n", "\n", "\n", "(0, 1, 1, 1)\n", "\n", "1\n", "\n", "\n", "\n", "(0, 1, 1)->(0, 1, 1, 1)\n", "\n", "\n", "0.7\n", "\n", "\n", "\n", "(0, 1, 1, 0)\n", "\n", "0\n", "\n", "\n", "\n", "(0, 1, 1)->(0, 1, 1, 0)\n", "\n", "\n", "0.3\n", "\n", "\n", "\n", "(0, 1, 0, 1)\n", "\n", "1\n", "\n", "\n", "\n", "(0, 1, 0)->(0, 1, 0, 1)\n", "\n", "\n", "0.7\n", "\n", "\n", "\n", "(0, 1, 0, 0)\n", "\n", "0\n", "\n", "\n", "\n", "(0, 1, 0)->(0, 1, 0, 0)\n", "\n", "\n", "0.3\n", "\n", "\n", "\n", "(0, 0, 1, 1)\n", "\n", "1\n", "\n", "\n", "\n", "(0, 0, 1)->(0, 0, 1, 1)\n", "\n", "\n", "0.7\n", "\n", "\n", "\n", "(0, 0, 1, 0)\n", "\n", "0\n", "\n", "\n", "\n", "(0, 0, 1)->(0, 0, 1, 0)\n", "\n", "\n", "0.3\n", "\n", "\n", "\n", "(0, 0, 0, 1)\n", "\n", "1\n", "\n", "\n", "\n", "(0, 0, 0)->(0, 0, 0, 1)\n", "\n", "\n", "0.7\n", "\n", "\n", "\n", "(0, 0, 0, 0)\n", "\n", "0\n", "\n", "\n", "\n", "(0, 0, 0)->(0, 0, 0, 0)\n", "\n", "\n", "0.3\n", "\n", "\n", "\n", "b\n", "\n", "b\n", "\n", "\n", "\n", "d\n", "\n", "d\n", "\n", "\n", "\n", "b->d\n", "\n", "\n", "\n", "\n", "\n", "a\n", "\n", "a\n", "\n", "\n", "\n", "d->a\n", "\n", "\n", "\n", "\n", "\n", "c\n", "\n", "c\n", "\n", "\n", "\n", "a->c\n", "\n", "\n", "\n", "\n", "\n", "-\n", "\n", "-\n", "\n", "\n", "\n", "-->b\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ ">" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opttree.plot(full=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the DAG representation" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "agraphs = opttree.to_minimal_context_agraphs()\n", "len(agraphs)" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "None\n" ] }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "b\n", "\n", "b\n", "\n", "\n", "\n", "d\n", "\n", "d\n", "\n", "\n", "\n", "b->d\n", "\n", "\n", "\n", "\n", "\n", "a\n", "\n", "a\n", "\n", "\n", "\n", "c\n", "\n", "c\n", "\n", "\n", "\n" ], "text/plain": [ ">" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "keys = list(agraphs.keys())\n", "print(keys[0])\n", "agraphs[keys[0]]" ] } ], "metadata": { "kernelspec": { "display_name": "cstrees", "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": "3.11.3" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }