From 658ccdb416c475771fb7b5574907fb6d1a8ade65 Mon Sep 17 00:00:00 2001 From: aevans1 Date: Mon, 7 Aug 2023 12:32:36 -0400 Subject: [PATCH] wrote zuko distribution for cryo_bife prior --- Lukes_folder/cryoBIFE_test.ipynb | 151 ++++++++++++++++++++++--------- 1 file changed, 109 insertions(+), 42 deletions(-) diff --git a/Lukes_folder/cryoBIFE_test.ipynb b/Lukes_folder/cryoBIFE_test.ipynb index cbaccfa..c0f4254 100644 --- a/Lukes_folder/cryoBIFE_test.ipynb +++ b/Lukes_folder/cryoBIFE_test.ipynb @@ -2,17 +2,32 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid character '“' (U+201C) (548338535.py, line 6)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m Cell \u001b[0;32mIn[2], line 6\u001b[0;36m\u001b[0m\n\u001b[0;31m multiprocessing.set_start_method(“fork”)\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid character '“' (U+201C)\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", + "import zuko\n", + "import torch\n", + "#import stan\n", + "\n", + "\n", "\n", "\n" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -56,7 +71,21 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -65,13 +94,13 @@ "Text(0, 0.5, '$\\\\beta F(\\\\theta)$')" ] }, - "execution_count": 20, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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", + "image/png": 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", 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" ] @@ -106,10 +135,11 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "## Attempting to sample from $P(\\theta)$ in STAN, mainly to familiarize with STAN..." + "# Make a Zuko distribution for $P(\\theta)$" ] }, { @@ -117,53 +147,90 @@ "execution_count": 5, "metadata": {}, "outputs": [], + "source": [ + "mean_a = 6.0\n", + "mean_b = 15.0\n", + "std_a = 2.0\n", + "std_b = 3.0\n", + "weight_a = 1.0\n", + "weight_b = 1.0 / 3.0\n", + "weights = torch.tensor([weight_a, weight_b])\n", + "gaussians = zuko.distributions.Normal(torch.tensor([mean_a, mean_b]), torch.tensor([std_a, std_b]))\n", + "test_dist = zuko.distributions.Mixture(zuko.distributions.Truncated(gaussians, lower=0, upper=19.0), logits = torch.log(weights))\n", + "#print(test_dist)\n", + "#new_test_dist = zuko.distributions.Truncated(test_dist, lower=0.9, upper=19.9)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/levans/anaconda3/lib/python3.10/site-packages/torch/distributions/distribution.py:173: UserWarning: sample_n will be deprecated. Use .sample((n,)) instead\n", + " warnings.warn('sample_n will be deprecated. Use .sample((n,)) instead', UserWarning)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "samples = test_dist.sample_n(10000)\n", + "samples = samples.detach().numpy()\n", + "samples = samples.astype(int)\n", + "plt.hist(samples, bins=100);" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Attempting to sample from $P(\\theta)$ in STAN, mainly to familiarize with STAN..." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], "source": [ "import stan\n", "sample_code = \"\"\"\n", "parameters {\n", - " real s;\n", + " real u;\n", "}\n", "model {\n", - " target += log(exp(-(19*s - 6)^2 / 8) + exp(-(19*s - 15)^2/18)/3);\n", + " target += log(exp(-(u - 6)^2 / 8) + exp(-(u - 15)^2/18)/3);\n", "}\n", "\"\"\"" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 9, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Building...\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Building: found in cache, done.Sampling: 0%\n", - "Sampling: 100%, done.\n", - "Messages received during sampling:\n", - " Gradient evaluation took 2.2e-05 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 0.22 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 2.2e-05 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 0.22 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 2.4e-05 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 0.24 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 2.1e-05 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 0.21 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 2.1e-05 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 0.21 seconds.\n", - " Adjust your expectations accordingly!\n" + "ename": "AttributeError", + "evalue": "module 'pystan' has no attribute 'build'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[9], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mnest_asyncio\u001b[39;00m\n\u001b[1;32m 2\u001b[0m nest_asyncio\u001b[39m.\u001b[39mapply()\n\u001b[0;32m----> 4\u001b[0m prior \u001b[39m=\u001b[39m pystan\u001b[39m.\u001b[39;49mbuild(sample_code, random_seed\u001b[39m=\u001b[39m\u001b[39m1\u001b[39m)\n\u001b[1;32m 5\u001b[0m fit \u001b[39m=\u001b[39m prior\u001b[39m.\u001b[39msample(num_chains\u001b[39m=\u001b[39m\u001b[39m5\u001b[39m, num_samples\u001b[39m=\u001b[39m\u001b[39m2000\u001b[39m)\n", + "\u001b[0;31mAttributeError\u001b[0m: module 'pystan' has no attribute 'build'" ] } ], @@ -177,7 +244,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -197,7 +264,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -260,7 +327,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.15" + "version": "3.10.8" }, "orig_nbformat": 4, "vscode": {