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March 20, 2025 01:52
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# flowMCでMCMC\n", | |
| "\n", | |
| "ここでは\n", | |
| "\n", | |
| "$y = a \\sin{(x + b)} + \\epsilon, $\n", | |
| "\n", | |
| "$\\epsilon \\sim \\mathcal{N}(0,\\sigma)$\n", | |
| "\n", | |
| "のモデルから生成されたデータに対して、$a, b, \\sigma$の推定を行う。priorは以下の通り\n", | |
| "\n", | |
| "$P(a) = \\mathcal{U}(0,4)$\n", | |
| "\n", | |
| "$P(b) = \\mathcal{U} (0,2\\pi)$\n", | |
| "\n", | |
| "$P(\\sigma) = \\mathrm{Expn}(1)$\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import jax\n", | |
| "import jax.numpy as jnp\n", | |
| "from jax.scipy.stats import norm\n", | |
| "from jax.scipy.stats import uniform\n", | |
| "from jax.scipy.stats import expon\n", | |
| "\n", | |
| "from jaxtyping import Float, Array\n", | |
| "from typing import Any, Dict\n", | |
| "\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "\n", | |
| "# flowMC関連\n", | |
| "from flowMC.resource_strategy_bundles import RQSpline_MALA_Bundle\n", | |
| "from flowMC.Sampler import Sampler\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "サンプルデータの生成" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# 真のパラメータ\n", | |
| "true_a = 2.0\n", | |
| "true_b = 1.0\n", | |
| "true_sigma = 0.3\n", | |
| "\n", | |
| "# x の作成\n", | |
| "n_points = 50\n", | |
| "x_data = jnp.linspace(0.0, 5.0, n_points)\n", | |
| "\n", | |
| "# 乱数生成器\n", | |
| "rng_key = jax.random.PRNGKey(123)\n", | |
| "\n", | |
| "# y = a*sin(x+b) + noise, noise ~ Normal(0, sigma)\n", | |
| "noise = true_sigma * jax.random.normal(rng_key, shape=(n_points,))\n", | |
| "y_data = true_a * jnp.sin(x_data + true_b) + noise\n", | |
| "\n", | |
| "# 作りやすいように辞書にまとめる\n", | |
| "data_dict = {\n", | |
| " \"x_data\": x_data,\n", | |
| " \"y_data\": y_data,\n", | |
| "}\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "対数尤度関数の定義" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def target_log_prob_fn(\n", | |
| " params: Float[Array, \"3\"], \n", | |
| " data: Dict[str, Any]\n", | |
| ") -> float:\n", | |
| " \"\"\"\n", | |
| " params: shape (3,) -> [a, b, sigma]\n", | |
| " data: {\"x_data\": (n_points,), \"y_data\": (n_points,)}\n", | |
| " \"\"\"\n", | |
| " a = params[0]\n", | |
| " b = params[1]\n", | |
| " sigma = params[2]\n", | |
| " \n", | |
| " x_obs = data[\"x_data\"]\n", | |
| " y_obs = data[\"y_data\"]\n", | |
| "\n", | |
| " # --- 対数尤度 (Gaussian) ---\n", | |
| " # y_i ~ Normal(a*sin(x_i+b), sigma)\n", | |
| " mu = a * jnp.sin(x_obs + b)\n", | |
| " # 正規分布の log pdf を各データ点で求めて合計\n", | |
| " log_likelihood = jnp.sum(norm.logpdf(y_obs, loc=mu, scale=sigma))\n", | |
| "\n", | |
| " # --- 先験分布 (例) ---\n", | |
| " # a, b ~ Uniform\n", | |
| " log_prior_ab = uniform.logpdf(a, 0, 4) + uniform.logpdf(b, 0, np.pi)\n", | |
| "\n", | |
| " # log_sigma \n", | |
| " log_prior_sigma = expon.logpdf(sigma, 0.0, 1.0)\n", | |
| " #log_prior_sigma = uniform.logpdf(0.0, 1.0)\n", | |
| "\n", | |
| " log_prior = log_prior_ab + log_prior_sigma\n", | |
| "\n", | |
| " return log_likelihood + log_prior\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "flowMCの各種パラメタ設定" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# MCMC設定\n", | |
| "n_dims = 3 # [a, b, log_sigma] の3次元\n", | |
| "n_chains = 50 # 並列で走らせるチェーン数\n", | |
| "\n", | |
| "# Bundle用のハイパーパラメータ\n", | |
| "n_local_steps = 50\n", | |
| "n_global_steps = 5\n", | |
| "n_training_loops = 10\n", | |
| "n_production_loops = 10\n", | |
| "n_epochs = 5\n", | |
| "rq_spline_hidden_units = [32, 32]\n", | |
| "rq_spline_n_bins = 8\n", | |
| "rq_spline_n_layers = 2\n", | |
| "learning_rate = 5e-3\n", | |
| "batch_size = 2000\n", | |
| "n_max_examples = 2000\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "flowMC では、ローカルな遷移(MALA) とグローバルな遷移(正規化フローによる大きなジャンプ) を組み合わせて、効率的にサンプリングするための仕組みが用意されている\n", | |
| "\n", | |
| "- MALA (Metropolis-Adjusted Langevin Algorithm): 勾配情報を使って、局所的に分布の高い領域へ移動しやすいサンプリング手法。\n", | |
| "- Normalizing flows: 潜在空間と観測空間の間を可逆変換(フロー)で結び、複雑な分布を取り扱うためのモデルです。サンプリングの「グローバルステップ」で使用することで、大きなジャンプを可能にし、複数のモード(ピーク)をまたぐ際などに効果的。\n", | |
| "\n", | |
| "flowMC には、これらを「リソース (resources)」と「ストラテジー (strategies)」として整理し、さらに手軽に使えるようにひとまとめにした Bundle と呼ばれるクラスが提供されている必要が。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "\n", | |
| "# 乱数生成器\n", | |
| "rng_key = jax.random.PRNGKey(0)\n", | |
| "rng_key, subkey = jax.random.split(rng_key)\n", | |
| "\n", | |
| "bundle = RQSpline_MALA_Bundle(\n", | |
| " subkey,\n", | |
| " n_chains,\n", | |
| " n_dims,\n", | |
| " target_log_prob_fn,\n", | |
| " n_local_steps,\n", | |
| " n_global_steps,\n", | |
| " n_training_loops,\n", | |
| " n_production_loops,\n", | |
| " n_epochs,\n", | |
| " rq_spline_hidden_units=rq_spline_hidden_units,\n", | |
| " rq_spline_n_bins=rq_spline_n_bins,\n", | |
| " rq_spline_n_layers=rq_spline_n_layers,\n", | |
| " learning_rate=learning_rate,\n", | |
| " batch_size=batch_size,\n", | |
| " n_max_examples=n_max_examples,\n", | |
| " verbose=False,\n", | |
| ")\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Resources or strategies not provided. Using resource strategy bundles.\n" | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "Tuning Phase: 0%| | 0/10 [00:00<?, ?it/s]" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Compiling MALA body\n" | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "Tuning Phase: 100%|██████████| 10/10 [00:13<00:00, 1.31s/it]\n", | |
| "Sampling Phase: 0%| | 0/10 [00:00<?, ?it/s]" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Compiling MALA body\n" | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "Sampling Phase: 100%|██████████| 10/10 [00:05<00:00, 1.86it/s]\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# 初期位置 (a, b, log_sigma) を乱数で作成\n", | |
| "rng_key, subkey = jax.random.split(rng_key)\n", | |
| "initial_position = jax.random.normal(subkey, shape=(n_chains, n_dims))\n", | |
| "\n", | |
| "# Sampler を作って sample() を呼ぶ\n", | |
| "sampler = Sampler(\n", | |
| " n_dims,\n", | |
| " n_chains,\n", | |
| " rng_key,\n", | |
| " resource_strategy_bundles=bundle,\n", | |
| ")\n", | |
| "\n", | |
| "sampler.sample(initial_position, data_dict)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "positions_prod = sampler.resources[\"positions_production\"].data\n", | |
| "# shape: (n_production_loops, n_samples_per_loop, n_dims)\n", | |
| "positions_array = positions_prod.reshape(-1, n_dims) # 2次元にまとめる\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Estimated mean of a, b, sigma:\n", | |
| "[1.9260588 0.99676865 0.3064164 ]\n", | |
| "Estimated std of a, b, sigma:\n", | |
| "[0.05795509 0.03595659 0.03301398]\n", | |
| "\n", | |
| "True values:\n", | |
| "a = 2.0, b = 1.0, sigma = 0.3\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "import numpy as np\n", | |
| "\n", | |
| "samples_np = np.array(positions_array)\n", | |
| "mean_est = samples_np.mean(axis=0)\n", | |
| "std_est = samples_np.std(axis=0)\n", | |
| "\n", | |
| "print(\"Estimated mean of a, b, sigma:\")\n", | |
| "print(mean_est)\n", | |
| "print(\"Estimated std of a, b, sigma:\")\n", | |
| "print(std_est)\n", | |
| "\n", | |
| "\n", | |
| "print(\"\\nTrue values:\")\n", | |
| "print(f\"a = {true_a}, b = {true_b}, sigma = {true_sigma}\")\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 760x760 with 9 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# !pip install corner # 必要に応じてインストール\n", | |
| "import corner\n", | |
| "\n", | |
| "fig = corner.corner(samples_np, labels=[\"a\", \"b\", \"sigma\"])\n", | |
| "plt.show()\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "base", | |
| "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": "3.12.2" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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