{ "cells": [ { "cell_type": "markdown", "id": "0e80254d", "metadata": {}, "source": [ "# Quick Start\n", "\n", "Here's a quick tutorial for those in a rush!" ] }, { "cell_type": "code", "execution_count": 1, "id": "4b465a25", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": null, "id": "60766c73", "metadata": {}, "outputs": [], "source": [ "import hemcee\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "jax.config.update(\"jax_enable_x64\", True) # JAX defaults to float32\n", "\n", "import numpy as np\n", "import corner" ] }, { "cell_type": "markdown", "id": "901e6861", "metadata": {}, "source": [ "First, specifiy the log probability (doesn't have to be normalized)\n", "of your target distribution.\n", "In this case, let's start with a simple Gaussian." ] }, { "cell_type": "code", "execution_count": 3, "id": "eeb6ebe2", "metadata": {}, "outputs": [], "source": [ "def log_prob(x):\n", " return - 0.5 * jnp.einsum('j,j->', x, x)" ] }, { "cell_type": "markdown", "id": "ad216cf1", "metadata": {}, "source": [ "Now we can initalize the sampler. There are two types of samplers \n", "- `hemcee.HamiltonianEnsembleSampeler` which implements the derivative-based algorithms detailed in [Y. Chen (2025)](https://arxiv.org/abs/2505.02987).\n", "- `hemcee.EnsembleSampler` which implements the derivative-free algorithms detailed in [Goodman & Weare (2010)](https://msp.org/camcos/2010/5-1/camcos-v5-n1-p04-s.pdf). This package is meant to mimic the synatx of [emcee](https://emcee.readthedocs.io/en/stable/)\n", "\n", "Let's start with the novel part of this package...\n", "\n", "## `HamiltonianEnsembleSampler`\n", "In Chen's paper, he details a couple of affine invariant sampling scheme. He comes to the conclusion that the walk move (Algorithm 3 in [Y. Chen (2025)](https://arxiv.org/abs/2505.02987)) performs the best overall, so our package defaults to that." ] }, { "cell_type": "code", "execution_count": 4, "id": "7786db4a", "metadata": {}, "outputs": [], "source": [ "dim = 3\n", "total_chains = 20\n", "\n", "# Inintalize the sampler\n", "sampler = hemcee.HamiltonianEnsembleSampler(\n", " total_chains=total_chains,\n", " dim=dim, # <- dimension of the probability distribution\n", " log_prob=log_prob, # <- log probability goes here!\n", ")" ] }, { "cell_type": "markdown", "id": "b32091b3", "metadata": {}, "source": [ "Now, we can run the sampler!" ] }, { "cell_type": "code", "execution_count": 5, "id": "cf0d1a0f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 20 total chains: Group 1 (10), Group 2 (10)\n", "Using inital step size of 1.6\n", "Starting warmup...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 603/603 [00:10<00:00, 58.49it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Warmup complete.\n", "Found step size 0.10160634057813525 and integration length: 23\n", "Starting main sampling...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 61/61 [00:01<00:00, 34.62it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Main sampling complete.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "key = jax.random.PRNGKey(2)\n", "keys = jax.random.split(key, 2)\n", "\n", "# Initial states for mcmc algorithm\n", "inital_states = jax.random.normal(keys[0], shape=(total_chains, dim)) \n", "\n", "samples = sampler.run_mcmc(\n", " key=keys[1], # <- JAX is used under the hood, so we need to pass in a `key`\n", " initial_state=inital_states,\n", " num_samples=10**4,\n", " warmup=10**5,\n", " thin_by=1,\n", " show_progress=True, # <- Shows a progress bar\n", ")" ] }, { "cell_type": "markdown", "id": "5b78f48f", "metadata": {}, "source": [ "You'll notice there's a lot of parameters spit out here. Let's break it down.\n", "\n", "Hamiltonian samplers make proposals using Hamiltonian dynamics, where the potential is taken to be the negatively log probability (unormalized) of your target distribution. There's a lot of headache involved with selecting an appropriate step size and integration length. We have included (affine-invariant) autotuners to make your life easier.\n", "\n", "Before we start the warmup run, we select an inital step size which yields ~ 80% acceptance rate (for 1 integration step). This is the first print statement. From there we use the `Dual Averaging` and (affine-invariant modification) `ChEES` algorithms to tune the step size and integration length respectively. This is the second print statement.\n", "\n", "To learn more about adapters please look at the adaptation tutorial." ] }, { "cell_type": "code", "execution_count": 6, "id": "ac487f36", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Diagnostics:\n", "[0.9992 0.9991 0.9993 0.9991 0.9994 0.9989 0.9988 0.9992 0.9991 0.9985\n", " 0.9993 0.9988 0.9991 0.9989 0.9991 0.9994 0.999 0.9988 0.9995 0.9985]\n", "Integrated autocorrelation time:\n", "[0.4727686 0.4846164 0.46748046]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('Diagnostics:')\n", "print(sampler.diagnostics_main['acceptance_rate'])\n", "\n", "tau = hemcee.autocorr.integrated_time(samples)\n", "print('Integrated autocorrelation time:')\n", "print(tau)\n", "\n", "# Visualize results using dfm's `corner`\n", "_ = corner.corner(samples.reshape(-1, dim).__array__())" ] }, { "cell_type": "markdown", "id": "ecedd644", "metadata": {}, "source": [ "## `EnsembleSampler`\n", "\n", "If you're feeling old school (or derivatives are very expensive for you), you can use the sampler in `emcee.EnsembleSampler`. In our package you can access this via the `hemcee.EnsembleSampler` class." ] }, { "cell_type": "code", "execution_count": 7, "id": "256da65c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 20 total chains: Group 1 (10), Group 2 (10)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 663/663 [00:04<00:00, 132.92it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Integrated autocorrelation time:\n", "[38.06386299 43.37061421 42.31482191]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from hemcee.moves.vanilla.stretch import stretch_move\n", "\n", "sampler = hemcee.EnsembleSampler(\n", " total_chains=total_chains,\n", " dim=dim,\n", " log_prob=log_prob,\n", " move=stretch_move, # Defaults to `stretch_move`, which is the default in `emcee`\n", ")\n", "\n", "samples = sampler.run_mcmc(\n", " key=jax.random.PRNGKey(0),\n", " initial_state=inital_states,\n", " num_samples=10**4,\n", " warmup=10**5,\n", " thin_by=1,\n", " show_progress=True,\n", ")\n", "\n", "tau = hemcee.autocorr.integrated_time(samples)\n", "print('Integrated autocorrelation time:')\n", "print(tau)\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "794a6af5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_show = 100000 # Makes plotting faster\n", "_ = corner.corner(samples.reshape(-1, dim).__array__())" ] }, { "cell_type": "markdown", "id": "d396af9a", "metadata": {}, "source": [ "Looking at the integrated autocorrelation time, we can see the `HamiltonianEnsembleSampler` outperforms the `EnsembleSampler` by a large margin! Visually we can confirm this as the Gaussian plotted here is more jaggidy in comparison the one sampled in the previous section." ] } ], "metadata": { "kernelspec": { "display_name": "hemcee", "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }