{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dual Moons likelihood\n", "\n", "Dual moons is a tricky likelihood that mimics physically challenging models." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:02.347188Z", "iopub.status.busy": "2024-09-23T21:21:02.346655Z", "iopub.status.idle": "2024-09-23T21:21:03.866904Z", "shell.execute_reply": "2024-09-23T21:21:03.866261Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:jax._src.xla_bridge:Unable to initialize backend 'cuda': \n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'rocm': module 'jaxlib.xla_extension' has no attribute 'GpuAllocatorConfig'\n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'tpu': INTERNAL: Failed to open libtpu.so: libtpu.so: cannot open shared object file: No such file or directory\n", "WARNING:jax._src.xla_bridge:An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] } ], "source": [ "\n", "import os\n", "\n", "os.environ[\"XLA_FLAGS\"] = \"--xla_force_host_platform_device_count=6\"\n", "from jax import config\n", "\n", "config.update(\"jax_enable_x64\", True)\n", "\n", "import pylab as plt\n", "import tensorflow_probability.substrates.jax as tfp\n", "from jax import random, numpy as jnp\n", "from jax import vmap\n", "\n", "from jaxns import NestedSampler\n", "from jaxns import Model\n", "from jaxns import Prior\n", "from jaxns import bruteforce_evidence\n", "\n", "tfpd = tfp.distributions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:03.869600Z", "iopub.status.busy": "2024-09-23T21:21:03.869299Z", "iopub.status.idle": "2024-09-23T21:21:05.339101Z", "shell.execute_reply": "2024-09-23T21:21:05.338587Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True log(Z)=-5.104862238439268\n" ] } ], "source": [ "from jax._src.scipy.special import logsumexp\n", "\n", "\n", "def log_likelihood(x):\n", " \"\"\"\n", " Dual moon log-likelihood.\n", " \"\"\"\n", "\n", " def fasym(t):\n", " return jnp.piecewise(\n", " t, [t < 0, t >= 0],\n", " [lambda x: (x / 2) ** 2,\n", " lambda x: (x / 0.5) ** 4\n", " ])\n", "\n", " xx = x[..., :1]\n", " xy = x[..., 1:2]\n", " rho1 = jnp.sqrt((xx) ** 2 + (xy) ** 2)\n", " theta1 = jnp.arctan2(xy, xx)\n", " term1 = ((rho1 - 2) / 0.05) ** 2\n", " term2 = fasym(theta1 - jnp.pi / 2) / 0.2\n", "\n", " rho2 = jnp.sqrt((xx) ** 2 + (xy) ** 2)\n", " theta2 = jnp.arctan2(xy, xx)\n", " term12 = ((rho2 - 2) / 0.05) ** 2\n", " term22 = fasym(theta1 + jnp.pi / 3) / 0.2\n", "\n", " pe = logsumexp(-jnp.stack([term1 + term2, term12 + term22]), axis=0)\n", "\n", " return pe.squeeze()\n", "\n", "\n", "def prior_model():\n", " x = yield Prior(tfpd.Uniform(low=-4 * jnp.ones(2), high=4. * jnp.ones(2)), name='x')\n", " return x\n", "\n", "\n", "model = Model(prior_model=prior_model,\n", " log_likelihood=log_likelihood)\n", "\n", "log_Z_true = bruteforce_evidence(model=model, S=250)\n", "print(f\"True log(Z)={log_Z_true}\")\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:05.341463Z", "iopub.status.busy": "2024-09-23T21:21:05.341299Z", "iopub.status.idle": "2024-09-23T21:21:06.301052Z", "shell.execute_reply": "2024-09-23T21:21:06.300404Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "u_vec = jnp.linspace(0., 1., 250)\n", "args = jnp.stack([x.flatten() for x in jnp.meshgrid(*[u_vec] * model.U_ndims, indexing='ij')], axis=-1)\n", "\n", "# The `prepare_func_args(log_likelihood)` turns the log_likelihood into a function that nicely accepts **kwargs\n", "lik = vmap(model.forward)(args).reshape((u_vec.size, u_vec.size))\n", "\n", "plt.imshow(jnp.exp(lik), origin='lower', extent=(-4, 4, -4, 4), cmap='jet')\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:06.303487Z", "iopub.status.busy": "2024-09-23T21:21:06.303272Z", "iopub.status.idle": "2024-09-23T21:21:14.447912Z", "shell.execute_reply": "2024-09-23T21:21:14.447205Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running over 6 devices.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/internals/mixed_precision.py:61: UserWarning: Expected integer type, got bool, at public.py:173 in to_results -> sharded_static.py:475 in _to_results -> mixed_precision.py:105 in cast_to_count -> mixed_precision.py:67 in _cast_integer_to -> tree.py:61 in map -> tree_util.py:321 in tree_map -> tree_util.py:321 in -> mixed_precision.py:61 in conditional_cast.\n", " warnings.warn(f\"Expected integer type, got {x.dtype}, {get_grandparent_info()}.\")\n" ] } ], "source": [ "\n", "\n", "# Create the nested sampler class. In this case without any tuning.\n", "ns = NestedSampler(model=model, max_samples=1e5)\n", "\n", "termination_reason, state = ns(random.PRNGKey(42))\n", "results = ns.to_results(termination_reason=termination_reason, state=state)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:14.450960Z", "iopub.status.busy": "2024-09-23T21:21:14.450695Z", "iopub.status.idle": "2024-09-23T21:21:15.139118Z", "shell.execute_reply": "2024-09-23T21:21:15.138391Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------\n", "Termination Conditions:\n", "Small remaining evidence\n", "--------\n", "likelihood evals: 49180\n", "samples: 690\n", "phantom samples: 0\n", "likelihood evals / sample: 71.3\n", "phantom fraction (%): 0.0%\n", "--------\n", "logZ=-4.66 +- 0.3\n", "max(logL)=0.0\n", "H=-3.91\n", "ESS=69\n", "--------\n", "x[#]: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "x[0]: 0.23 +- 0.7 | -0.54 / 0.22 / 1.13 | 1.03 | 1.03\n", "x[1]: -0.0 +- 1.9 | -2.0 / -0.3 / 2.0 | -1.7 | -1.7\n", "--------\n" ] } ], "source": [ "# We can use the summary utility to display results\n", "ns.summary(results)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-09-23T21:21:15.141646Z", "iopub.status.busy": "2024-09-23T21:21:15.141404Z", "iopub.status.idle": "2024-09-23T21:21:17.122701Z", "shell.execute_reply": "2024-09-23T21:21:17.122017Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We plot useful diagnostics and a distribution cornerplot\n", "ns.plot_diagnostics(results)\n", "ns.plot_cornerplot(results)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": 1 }