From 420468c2ef7219453123a2c2072bfa770763c93d Mon Sep 17 00:00:00 2001 From: = Date: Fri, 24 May 2024 20:13:20 +0200 Subject: [PATCH] UPDATE EXAMPLE --- book/algorithms/mclmc.ipynb | 827 ------------------------------------ book/algorithms/mclmc.md | 132 +++++- 2 files changed, 125 insertions(+), 834 deletions(-) delete mode 100644 book/algorithms/mclmc.ipynb diff --git a/book/algorithms/mclmc.ipynb b/book/algorithms/mclmc.ipynb deleted file mode 100644 index 86a26ee8..00000000 --- a/book/algorithms/mclmc.ipynb +++ /dev/null @@ -1,827 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "06a50d20", - "metadata": {}, - "source": [ - "# Microcanonical Langevin Monte Carlo\n", - "\n", - "This is an algorithm based on https://arxiv.org/abs/2212.08549 ({cite:p}`robnik2023microcanonical`, {cite:p}`robnik2023microcanonical2`). A website with detailed information can be found [here](https://microcanonical-monte-carlo.netlify.app/). The algorithm is provided in both adjusted (i.e. with an Metropolis-Hastings step) and unadjusted versions; by default we use \"MCLMC\" to refer to the unadjusted version.\n", - "\n", - "The original derivation comes from thinking about the microcanonical ensemble (a concept from statistical mechanics), but the upshot is that we integrate the following SDE:\n", - "\n", - "$$\n", - "\\frac{d}{dt}\\begin{bmatrix}\n", - "x \\\\\n", - "u\n", - "\\end{bmatrix}\n", - "=\n", - "\\begin{bmatrix}\n", - "u \\\\\n", - "-P(u)(\\nabla S(x)/(d − 1)) + \\eta P(u)dW\n", - "\\end{bmatrix}\n", - "$$\n", - "\n", - "where $u$ is an auxilliary variable, $S(x)$ is the negative log PDF of the distribution from which we are sampling and the last term describes spherically symmetric noise. After $u$ is marginalized out, this converges to the target PDF, $p(x) \\propto e^{-S(x)}$.\n", - "\n", - "## How to run MCLMC in BlackJax\n", - "\n", - "It is very important to use the tuning algorithm provided, which controls the step size of the integrator and also $L$, a parameter related to $\\eta$ above.\n", - "\n", - "An example is given below, of a 1000 dim Gaussian (of which 2 dimensions are plotted)." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "bfbe03d0", - "metadata": { - "tags": [ - "hide-cell" - ] - }, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.rcParams[\"axes.spines.right\"] = False\n", - "plt.rcParams[\"axes.spines.top\"] = False\n", - "plt.rcParams[\"font.size\"] = 19" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "f11d42ca", - "metadata": { - "tags": [ - "remove-output" - ] - }, - "outputs": [], - "source": [ - "import jax\n", - "\n", - "from datetime import date\n", - "\n", - "rng_key = jax.random.key(int(date.today().strftime(\"%Y%m%d\")))" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "86107615", - "metadata": {}, - "outputs": [], - "source": [ - "import blackjax\n", - "import numpy as np\n", - "import jax.numpy as jnp" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "fc2dd389", - "metadata": {}, - "outputs": [], - "source": [ - "def run_mclmc(logdensity_fn, num_steps, initial_position, key, transform):\n", - " init_key, tune_key, run_key = jax.random.split(key, 3)\n", - "\n", - " # create an initial state for the sampler\n", - " initial_state = blackjax.mcmc.mclmc.init(\n", - " position=initial_position, logdensity_fn=logdensity_fn, rng_key=init_key\n", - " )\n", - "\n", - " # build the kernel\n", - " kernel = lambda sqrt_diag_cov_mat : blackjax.mcmc.mclmc.build_kernel(\n", - " logdensity_fn=logdensity_fn,\n", - " integrator=blackjax.mcmc.integrators.isokinetic_mclachlan,\n", - " sqrt_diag_cov_mat=sqrt_diag_cov_mat,\n", - " )\n", - "\n", - " # find values for L and step_size\n", - " (\n", - " blackjax_state_after_tuning,\n", - " blackjax_mclmc_sampler_params,\n", - " ) = blackjax.mclmc_find_L_and_step_size(\n", - " mclmc_kernel=kernel,\n", - " num_steps=num_steps,\n", - " state=initial_state,\n", - " rng_key=tune_key,\n", - " diagonal_preconditioning=False,\n", - " )\n", - "\n", - " # use the quick wrapper to build a new kernel with the tuned parameters\n", - " sampling_alg = blackjax.mclmc(\n", - " logdensity_fn,\n", - " L=blackjax_mclmc_sampler_params.L,\n", - " step_size=blackjax_mclmc_sampler_params.step_size,\n", - " )\n", - "\n", - " # run the sampler\n", - " _, samples, _ = blackjax.util.run_inference_algorithm(\n", - " rng_key=run_key,\n", - " initial_state=blackjax_state_after_tuning,\n", - " inference_algorithm=sampling_alg,\n", - " num_steps=num_steps,\n", - " transform=transform,\n", - " progress_bar=True,\n", - " )\n", - "\n", - " return samples" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "1042c3cd", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.scatter(x=samples[:, 0], y=samples[:, 1], alpha=0.1)\n", - "plt.axis(\"equal\")\n", - "plt.title(\"Scatter Plot of Samples\")" - ] - }, - { - "cell_type": "markdown", - "id": "b720b0af", - "metadata": {}, - "source": [ - "# Second example: Stochastic Volatility\n", - "\n", - "This is ported from Jakob Robnik's [example notebook](https://github.com/JakobRobnik/MicroCanonicalHMC/blob/master/notebooks/tutorials/advanced_tutorial.ipynb)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "fc18e09d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'S&P500 returns')" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.dates as mdates\n", - "\n", - "from numpyro.examples.datasets import SP500, load_dataset\n", - "from numpyro.distributions import StudentT\n", - "\n", - "# get the data\n", - "_, fetch = load_dataset(SP500, shuffle=False)\n", - "SP500_dates, SP500_returns = fetch()\n", - "\n", - "\n", - "# figure setup\n", - "_, ax = plt.subplots(figsize=(12, 5))\n", - "ax.spines[\"right\"].set_visible(False) # remove the upper and the right axis lines\n", - "ax.spines[\"top\"].set_visible(False)\n", - "\n", - "ax.xaxis.set_major_locator(mdates.YearLocator()) # dates on the xaxis\n", - "ax.xaxis.set_major_formatter(mdates.DateFormatter(\"%Y\"))\n", - "ax.xaxis.set_minor_locator(mdates.MonthLocator())\n", - "\n", - "# plot data\n", - "dates = mdates.num2date(mdates.datestr2num(SP500_dates))\n", - "ax.plot(dates, SP500_returns, \".\", markersize=3, color=\"steelblue\")\n", - "ax.set_xlabel(\"time\")\n", - "ax.set_ylabel(\"S&P500 returns\")" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "a432848b", - "metadata": {}, - "outputs": [], - "source": [ - "dim = 2429\n", - "\n", - "lambda_sigma, lambda_nu = 50, 0.1\n", - "\n", - "\n", - "def logp_volatility(x):\n", - " \"\"\"log p of the target distribution\"\"\"\n", - "\n", - " sigma = (\n", - " jnp.exp(x[-2]) / lambda_sigma\n", - " ) # we used log-transformation to make x unconstrained\n", - " nu = jnp.exp(x[-1]) / lambda_nu\n", - "\n", - " prior2 = (jnp.exp(x[-2]) - x[-2]) + (\n", - " jnp.exp(x[-1]) - x[-1]\n", - " ) # - log prior(sigma, nu)\n", - " prior1 = (dim - 2) * jnp.log(sigma) + 0.5 * (\n", - " jnp.square(x[0]) + jnp.sum(jnp.square(x[1:-2] - x[:-3]))\n", - " ) / jnp.square(\n", - " sigma\n", - " ) # - log prior(R)\n", - " lik = -jnp.sum(\n", - " StudentT(df=nu, scale=jnp.exp(x[:-2])).log_prob(SP500_returns)\n", - " ) # - log likelihood\n", - "\n", - " return -(lik + prior1 + prior2)\n", - "\n", - "\n", - "def transform(x):\n", - " \"\"\"transform x back to the parameters R, sigma and nu (taking the exponent)\"\"\"\n", - "\n", - " Rn = jnp.exp(x[:-2])\n", - " sigma = jnp.exp(x[-2]) / lambda_sigma\n", - " nu = jnp.exp(x[-1]) / lambda_nu\n", - "\n", - " return jnp.concatenate((Rn, jnp.array([sigma, nu])))\n", - "\n", - "\n", - "def prior_draw(key):\n", - " \"\"\"draws x from the prior\"\"\"\n", - "\n", - " key_walk, key_exp1, key_exp2 = jax.random.split(key, 3)\n", - "\n", - " sigma = (\n", - " jax.random.exponential(key_exp1) / lambda_sigma\n", - " ) # sigma is drawn from the exponential distribution\n", - "\n", - " def step(track, useless): # one step of the gaussian random walk\n", - " randkey, subkey = jax.random.split(track[1])\n", - " x = (\n", - " jax.random.normal(subkey, shape=track[0].shape, dtype=track[0].dtype)\n", - " + track[0]\n", - " )\n", - " return (x, randkey), x\n", - "\n", - " x = jnp.empty(dim)\n", - " x = x.at[:-2].set(\n", - " jax.lax.scan(step, init=(0.0, key_walk), xs=None, length=dim - 2)[1] * sigma\n", - " ) # = log R_n are drawn as a Gaussian random walk realization\n", - " x = x.at[-2].set(\n", - " jnp.log(sigma * lambda_sigma)\n", - " ) # sigma ~ exponential distribution(lambda_sigma)\n", - " x = x.at[-1].set(\n", - " jnp.log(jax.random.exponential(key_exp2))\n", - " ) # nu ~ exponential distribution(lambda_nu)\n", - "\n", - " return x" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "a885d81c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
\n", - " \n", - " 100.00% [10000/10000 00:00<?]\n", - "
\n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "key1, key2, rng_key = jax.random.split(rng_key, 3)\n", - "samples = run_mclmc(\n", - " logdensity_fn=logp_volatility,\n", - " num_steps=10000,\n", - " initial_position=prior_draw(key1),\n", - " key=key2,\n", - " transform=lambda x: x,\n", - ")\n", - "\n", - "samples = transform(samples.position)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "546eaa8b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "R = np.array(samples)[:, :-2] # remove sigma and nu parameters\n", - "R = np.sort(R, axis=0) # sort samples for each R_n\n", - "num_samples = len(R)\n", - "lower_quartile, median, upper_quartile = (\n", - " R[num_samples // 4, :],\n", - " R[num_samples // 2, :],\n", - " R[3 * num_samples // 4, :],\n", - ")\n", - "\n", - "# figure setup\n", - "_, ax = plt.subplots(figsize=(12, 5))\n", - "ax.spines[\"right\"].set_visible(False) # remove the upper and the right axis lines\n", - "ax.spines[\"top\"].set_visible(False)\n", - "\n", - "ax.xaxis.set_major_locator(mdates.YearLocator()) # dates on the xaxis\n", - "ax.xaxis.set_major_formatter(mdates.DateFormatter(\"%Y\"))\n", - "ax.xaxis.set_minor_locator(mdates.MonthLocator())\n", - "\n", - "# plot data\n", - "ax.plot(dates, SP500_returns, \".\", markersize=3, color=\"steelblue\")\n", - "ax.plot(\n", - " [], [], \".\", markersize=10, color=\"steelblue\", alpha=0.5, label=\"data\"\n", - ") # larger markersize for the legend\n", - "ax.set_xlabel(\"time\")\n", - "ax.set_ylabel(\"S&P500 returns\")\n", - "\n", - "# plot posterior\n", - "ax.plot(dates, median, color=\"navy\", label=\"volatility posterior\")\n", - "ax.fill_between(dates, lower_quartile, upper_quartile, color=\"navy\", alpha=0.5)\n", - "\n", - "ax.legend()" - ] - }, - { - "cell_type": "markdown", - "id": "1213bb7f", - "metadata": {}, - "source": [ - "## Adjusted MCLMC\n", - "\n", - "Blackjax also provides an adjusted version of the algorithm. This also has two hyperparameters, `step_size` and `L`. `L` is related to the `L` parameter of the unadjusted version, but not identical. The tuning algorithm is also similar, but uses a dual averaging scheme to tune the step size. We find in practice that a target MH acceptance rate of 0.9 is a good choice." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "5e576af7", - "metadata": {}, - "outputs": [], - "source": [ - "from blackjax.mcmc.adjusted_mclmc import rescale\n", - "\n", - "def run_adjusted_mclmc(logdensity_fn, num_steps, initial_position, key, transform):\n", - " init_key, tune_key, run_key = jax.random.split(key, 3)\n", - "\n", - " # create an initial state for the sampler\n", - " initial_state = blackjax.mcmc.adjusted_mclmc.init(\n", - " position=initial_position, logdensity_fn=logdensity_fn, random_generator_arg=init_key\n", - " )\n", - "\n", - " kernel = lambda rng_key, state, avg_num_integration_steps, step_size, sqrt_diag_cov_mat: blackjax.mcmc.adjusted_mclmc.build_kernel(\n", - " integrator=blackjax.mcmc.integrators.isokinetic_mclachlan,\n", - " integration_steps_fn = lambda k : jnp.ceil(jax.random.uniform(k) * rescale(avg_num_integration_steps)),\n", - " sqrt_diag_cov_mat=sqrt_diag_cov_mat,\n", - " )(\n", - " rng_key=rng_key, \n", - " state=state, \n", - " step_size=step_size, \n", - " logdensity_fn=logdensity_fn)\n", - " \n", - " \n", - " (\n", - " blackjax_state_after_tuning,\n", - " blackjax_mclmc_sampler_params,\n", - " params_history,\n", - " final_da\n", - " ) = blackjax.adaptation.mclmc_adaptation.adjusted_mclmc_find_L_and_step_size(\n", - " mclmc_kernel=kernel,\n", - " num_steps=num_steps,\n", - " state=initial_state,\n", - " rng_key=tune_key,\n", - " target=0.9,\n", - " frac_tune1=0.1,\n", - " frac_tune2=0.1,\n", - " frac_tune3=0.1,\n", - " diagonal_preconditioning=False,\n", - " )\n", - "\n", - "\n", - "\n", - " step_size = blackjax_mclmc_sampler_params.step_size\n", - " L = blackjax_mclmc_sampler_params.L\n", - " # jax.debug.print(\"params {x}\", x=(blackjax_mclmc_sampler_params.step_size, blackjax_mclmc_sampler_params.L))\n", - "\n", - "\n", - " alg = blackjax.adjusted_mclmc(\n", - " logdensity_fn=logdensity_fn,\n", - " step_size=step_size,\n", - " integration_steps_fn = lambda key: jnp.ceil(jax.random.uniform(key) * rescale(L/step_size)) ,\n", - " integrator=blackjax.mcmc.integrators.isokinetic_mclachlan,\n", - " sqrt_diag_cov_mat=blackjax_mclmc_sampler_params.sqrt_diag_cov_mat,\n", - " \n", - "\n", - " )\n", - "\n", - "\n", - " _, samples, info = blackjax.util.run_inference_algorithm(\n", - " rng_key=run_key,\n", - " initial_state=blackjax_state_after_tuning,\n", - " inference_algorithm=alg,\n", - " num_steps=num_steps, \n", - " transform=lambda x: x.position, \n", - " progress_bar=True)\n", - " return samples" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "key1, key2, rng_key = jax.random.split(rng_key, 3)\n", - "samples = run_adjusted_mclmc(\n", - " logdensity_fn=logp_volatility,\n", - " num_steps=10000,\n", - " initial_position=prior_draw(key1),\n", - " key=key2,\n", - " transform=lambda x: x,\n", - ")\n", - "\n", - "R = np.array(samples)[:, :-2] # remove sigma and nu parameters\n", - "R = np.sort(R, axis=0) # sort samples for each R_n\n", - "num_samples = len(R)\n", - "lower_quartile, median, upper_quartile = (\n", - " R[num_samples // 4, :],\n", - " R[num_samples // 2, :],\n", - " R[3 * num_samples // 4, :],\n", - ")\n", - "\n", - "# figure setup\n", - "_, ax = plt.subplots(figsize=(12, 5))\n", - "ax.spines[\"right\"].set_visible(False) # remove the upper and the right axis lines\n", - "ax.spines[\"top\"].set_visible(False)\n", - "\n", - "ax.xaxis.set_major_locator(mdates.YearLocator()) # dates on the xaxis\n", - "ax.xaxis.set_major_formatter(mdates.DateFormatter(\"%Y\"))\n", - "ax.xaxis.set_minor_locator(mdates.MonthLocator())\n", - "\n", - "# plot data\n", - "ax.plot(dates, SP500_returns, \".\", markersize=3, color=\"steelblue\")\n", - "ax.plot(\n", - " [], [], \".\", markersize=10, color=\"steelblue\", alpha=0.5, label=\"data\"\n", - ") # larger markersize for the legend\n", - "ax.set_xlabel(\"time\")\n", - "ax.set_ylabel(\"S&P500 returns\")\n", - "\n", - "# plot posterior\n", - "ax.plot(dates, median, color=\"navy\", label=\"volatility posterior\")\n", - "ax.fill_between(dates, lower_quartile, upper_quartile, color=\"navy\", alpha=0.5)\n", - "\n", - "ax.legend()" - ] - }, - { - "cell_type": "markdown", - "id": "38447c88", - "metadata": {}, - "source": [ - "```{bibliography}\n", - ":filter: docname in docnames\n", - "```\n", - "\n", - "\n", - "```" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "mclmc", - "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": "3.11.5" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/book/algorithms/mclmc.md b/book/algorithms/mclmc.md index ec9946aa..b791296d 100644 --- a/book/algorithms/mclmc.md +++ b/book/algorithms/mclmc.md @@ -4,7 +4,7 @@ jupytext: extension: .md format_name: myst format_version: 0.13 - jupytext_version: 1.15.2 + jupytext_version: 1.16.0 kernelspec: display_name: mclmc language: python @@ -59,6 +59,7 @@ rng_key = jax.random.key(int(date.today().strftime("%Y%m%d"))) ```{code-cell} ipython3 import blackjax +from blackjax.mcmc.adjusted_mclmc import rescale import numpy as np import jax.numpy as jnp ``` @@ -73,9 +74,10 @@ def run_mclmc(logdensity_fn, num_steps, initial_position, key, transform): ) # build the kernel - kernel = blackjax.mcmc.mclmc.build_kernel( + kernel = lambda sqrt_diag_cov_mat : blackjax.mcmc.mclmc.build_kernel( logdensity_fn=logdensity_fn, integrator=blackjax.mcmc.integrators.isokinetic_mclachlan, + sqrt_diag_cov_mat=sqrt_diag_cov_mat, ) # find values for L and step_size @@ -87,6 +89,7 @@ def run_mclmc(logdensity_fn, num_steps, initial_position, key, transform): num_steps=num_steps, state=initial_state, rng_key=tune_key, + diagonal_preconditioning=False, ) # use the quick wrapper to build a new kernel with the tuned parameters @@ -133,7 +136,6 @@ plt.title("Scatter Plot of Samples") This is ported from Jakob Robnik's [example notebook](https://github.com/JakobRobnik/MicroCanonicalHMC/blob/master/notebooks/tutorials/advanced_tutorial.ipynb) - ```{code-cell} ipython3 import matplotlib.dates as mdates @@ -167,7 +169,7 @@ dim = 2429 lambda_sigma, lambda_nu = 50, 0.1 -def logp(x): +def logp_volatility(x): """log p of the target distribution""" sigma = ( @@ -234,7 +236,7 @@ def prior_draw(key): ```{code-cell} ipython3 key1, key2, rng_key = jax.random.split(rng_key, 3) samples = run_mclmc( - logdensity_fn=logp, + logdensity_fn=logp_volatility, num_steps=10000, initial_position=prior_draw(key1), key=key2, @@ -278,13 +280,129 @@ ax.fill_between(dates, lower_quartile, upper_quartile, color="navy", alpha=0.5) ax.legend() ``` - ## Adjusted MCLMC Blackjax also provides an adjusted version of the algorithm. This also has two hyperparameters, `step_size` and `L`. `L` is related to the `L` parameter of the unadjusted version, but not identical. The tuning algorithm is also similar, but uses a dual averaging scheme to tune the step size. We find in practice that a target MH acceptance rate of 0.9 is a good choice. ```{code-cell} ipython3 +def run_adjusted_mclmc(logdensity_fn, num_steps, initial_position, key, transform): + init_key, tune_key, run_key = jax.random.split(key, 3) + + # create an initial state for the sampler + initial_state = blackjax.mcmc.adjusted_mclmc.init( + position=initial_position, logdensity_fn=logdensity_fn, random_generator_arg=init_key + ) + + kernel = lambda rng_key, state, avg_num_integration_steps, step_size, sqrt_diag_cov_mat: blackjax.mcmc.adjusted_mclmc.build_kernel( + integrator=blackjax.mcmc.integrators.isokinetic_mclachlan, + integration_steps_fn = lambda k : jnp.ceil(jax.random.uniform(k) * rescale(avg_num_integration_steps)), + sqrt_diag_cov_mat=sqrt_diag_cov_mat, + )( + rng_key=rng_key, + state=state, + step_size=step_size, + logdensity_fn=logdensity_fn) + + + ( + blackjax_state_after_tuning, + blackjax_mclmc_sampler_params, + params_history, + final_da + ) = blackjax.adaptation.mclmc_adaptation.adjusted_mclmc_find_L_and_step_size( + mclmc_kernel=kernel, + num_steps=num_steps, + state=initial_state, + rng_key=tune_key, + target=0.9, + frac_tune1=0.1, + frac_tune2=0.1, + frac_tune3=0.1, + diagonal_preconditioning=False, + ) + + + step_size = blackjax_mclmc_sampler_params.step_size + L = blackjax_mclmc_sampler_params.L + + alg = blackjax.adjusted_mclmc( + logdensity_fn=logdensity_fn, + step_size=step_size, + integration_steps_fn = lambda key: jnp.ceil(jax.random.uniform(key) * rescale(L/step_size)) , + integrator=blackjax.mcmc.integrators.isokinetic_mclachlan, + sqrt_diag_cov_mat=blackjax_mclmc_sampler_params.sqrt_diag_cov_mat, + + + ) + + + _, samples, info = blackjax.util.run_inference_algorithm( + rng_key=run_key, + initial_state=blackjax_state_after_tuning, + inference_algorithm=alg, + num_steps=num_steps, + transform=lambda x: x.position, + progress_bar=True) + return samples +``` + +```{code-cell} ipython3 +# run the algorithm on a high dimensional gaussian, and show two of the dimensions +sample_key, rng_key = jax.random.split(rng_key) +samples = run_adjusted_mclmc( + logdensity_fn=lambda x: -0.5 * jnp.sum(jnp.square(x)), + num_steps=1000, + initial_position=jnp.ones((1000,)), + key=sample_key, + transform=lambda x: x.position[:2], +) +plt.scatter(x=samples[:, 0], y=samples[:, 1], alpha=0.1) +plt.axis("equal") +plt.title("Scatter Plot of Samples") +``` + +```{code-cell} ipython3 +key1, key2, rng_key = jax.random.split(rng_key, 3) +samples = run_adjusted_mclmc( + logdensity_fn=logp_volatility, + num_steps=10000, + initial_position=prior_draw(key1), + key=key2, + transform=lambda x: x, +) + +R = np.array(samples)[:, :-2] # remove sigma and nu parameters +R = np.sort(R, axis=0) # sort samples for each R_n +num_samples = len(R) +lower_quartile, median, upper_quartile = ( + R[num_samples // 4, :], + R[num_samples // 2, :], + R[3 * num_samples // 4, :], +) + +# figure setup +_, ax = plt.subplots(figsize=(12, 5)) +ax.spines["right"].set_visible(False) # remove the upper and the right axis lines +ax.spines["top"].set_visible(False) + +ax.xaxis.set_major_locator(mdates.YearLocator()) # dates on the xaxis +ax.xaxis.set_major_formatter(mdates.DateFormatter("%Y")) +ax.xaxis.set_minor_locator(mdates.MonthLocator()) + +# plot data +ax.plot(dates, SP500_returns, ".", markersize=3, color="steelblue") +ax.plot( + [], [], ".", markersize=10, color="steelblue", alpha=0.5, label="data" +) # larger markersize for the legend +ax.set_xlabel("time") +ax.set_ylabel("S&P500 returns") + +# plot posterior +ax.plot(dates, median, color="navy", label="volatility posterior") +ax.fill_between(dates, lower_quartile, upper_quartile, color="navy", alpha=0.5) + +ax.legend() ``` ```{bibliography} @@ -292,4 +410,4 @@ Blackjax also provides an adjusted version of the algorithm. This also has two h ``` -``` \ No newline at end of file +```