{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "initial_id", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:04.892871424Z", "start_time": "2024-02-28T08:00:01.399983125Z" }, "collapsed": true, "execution": { "iopub.execute_input": "2024-09-26T08:32:29.988729Z", "iopub.status.busy": "2024-09-26T08:32:29.988567Z", "iopub.status.idle": "2024-09-26T08:32:32.942604Z", "shell.execute_reply": "2024-09-26T08:32:32.941987Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/internals/mixed_precision.py:14: UserWarning: JAX x64 is not enabled. Setting it now. Check for errors.\n", " warnings.warn(\"JAX x64 is not enabled. Setting it now. Check for errors.\")\n", "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", "INFO:jaxns:Sanity check...\n", "INFO:jaxns:Sanity check passed\n" ] } ], "source": [ "import jax\n", "import tensorflow_probability.substrates.jax as tfp\n", "\n", "tfpd = tfp.distributions\n", "\n", "from jaxns.framework.model import Model\n", "from jaxns.framework.prior import Prior\n", "\n", "\n", "def prior_model():\n", " mu = yield Prior(tfpd.Normal(loc=0., scale=1.))\n", " # Let's make sigma a parameterised variable. \n", " # It requires a name, but will not be collected as a Bayesian variable.\n", " sigma = yield Prior(tfpd.Exponential(rate=1.), name='sigma').parametrised()\n", " x = yield Prior(tfpd.Cauchy(loc=mu, scale=sigma), name='x')\n", " uncert = yield Prior(tfpd.Exponential(rate=1.), name='uncert')\n", " return x, uncert\n", "\n", "\n", "def log_likelihood(x, uncert):\n", " return tfpd.Normal(loc=0., scale=uncert).log_prob(x)\n", "\n", "\n", "model = Model(prior_model=prior_model, log_likelihood=log_likelihood)\n", "\n", "# You can sanity check the model (always a good idea when exploring)\n", "model.sanity_check(key=jax.random.PRNGKey(0), S=100)" ] }, { "cell_type": "code", "execution_count": 2, "id": "57f60983e4060827", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:05.146052551Z", "start_time": "2024-02-28T08:00:04.893608824Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:32.944720Z", "iopub.status.busy": "2024-09-26T08:32:32.944494Z", "iopub.status.idle": "2024-09-26T08:32:33.144895Z", "shell.execute_reply": "2024-09-26T08:32:33.144316Z" } }, "outputs": [], "source": [ "# Sample the prior in U-space (base measure)\n", "U = model.sample_U(key=jax.random.PRNGKey(0))\n", "# Transform to X-space\n", "X = model.transform(U=U)\n", "# Only named Bayesian prior variables are returned, the rest are treated as hidden variables.\n", "assert set(X.keys()) == {'x', 'uncert'}\n", "\n", "# Get the return value of the prior model, i.e. the input to the likelihood\n", "x_sample, uncert_sample = model.prepare_input(U=U)" ] }, { "cell_type": "code", "execution_count": 3, "id": "711a04c5a485eb67", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:05.233743071Z", "start_time": "2024-02-28T08:00:05.148652096Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:33.147411Z", "iopub.status.busy": "2024-09-26T08:32:33.147252Z", "iopub.status.idle": "2024-09-26T08:32:33.200889Z", "shell.execute_reply": "2024-09-26T08:32:33.200324Z" } }, "outputs": [], "source": [ "# Evaluate different parts of the model\n", "log_prob_prior = model.log_prob_prior(U)\n", "log_prob_likelihood = model.log_prob_likelihood(U, allow_nan=False)\n", "log_prob_joint = model.log_prob_joint(U, allow_nan=False)" ] }, { "cell_type": "code", "execution_count": 4, "id": "d3b4a1ddef258c8e", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:05.802052522Z", "start_time": "2024-02-28T08:00:05.239093912Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:33.203535Z", "iopub.status.busy": "2024-09-26T08:32:33.203375Z", "iopub.status.idle": "2024-09-26T08:32:33.762711Z", "shell.execute_reply": "2024-09-26T08:32:33.762176Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-9.372949645737593 {'sigma_param': Array(-5.82616862, dtype=float64)}\n" ] } ], "source": [ "init_params = model.params\n", "\n", "\n", "def log_prob_joint_fn(params, U):\n", " # Calling model with params returns a new model with the params set\n", " return model(params).log_prob_joint(U, allow_nan=False)\n", "\n", "\n", "value, grad = jax.value_and_grad(log_prob_joint_fn)(init_params, U)\n", "print(value, grad)" ] }, { "cell_type": "code", "execution_count": 5, "id": "d7876cdf55aa6ade", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:14.916074316Z", "start_time": "2024-02-28T08:00:05.806221166Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:33.764776Z", "iopub.status.busy": "2024-09-26T08:32:33.764613Z", "iopub.status.idle": "2024-09-26T08:32:41.077195Z", "shell.execute_reply": "2024-09-26T08:32:41.076619Z" } }, "outputs": [], "source": [ "from jaxns import NestedSampler\n", "\n", "ns = NestedSampler(model=model, max_samples=1e5)\n", "\n", "# Run the sampler\n", "termination_reason, state = ns(jax.random.PRNGKey(42))\n", "# Get the results\n", "results = ns.to_results(termination_reason=termination_reason, state=state)" ] }, { "cell_type": "code", "execution_count": 6, "id": "5f39eb79467304d3", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:17.769749093Z", "start_time": "2024-02-28T08:00:14.925079949Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:41.079317Z", "iopub.status.busy": "2024-09-26T08:32:41.079144Z", "iopub.status.idle": "2024-09-26T08:32:44.167094Z", "shell.execute_reply": "2024-09-26T08:32:44.166503Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------\n", "Termination Conditions:\n", "Small remaining evidence\n", "--------\n", "likelihood evals: 192008\n", "samples: 2025\n", "phantom samples: 0\n", "likelihood evals / sample: 94.8\n", "phantom fraction (%): 0.0%\n", "--------\n", "logZ=-1.41 +- 0.13\n", "max(logL)=16.04\n", "H=-1.09\n", "ESS=170\n", "--------\n", "uncert: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "uncert: 0.74 +- 0.83 | 0.07 / 0.39 / 1.91 | 0.0 | 0.0\n", "--------\n", "x: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "x: 0.02 +- 0.53 | -0.61 / 0.0 / 0.81 | -0.0 | -0.0\n", "--------\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from jaxns import summary, plot_diagnostics, plot_cornerplot\n", "\n", "summary(results)\n", "plot_diagnostics(results, save_name='intro_diagnostics.png')\n", "plot_cornerplot(results, save_name='intro_cornerplot.png')" ] }, { "cell_type": "code", "execution_count": 7, "id": "f85410f95b4fd3e", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:18.138423479Z", "start_time": "2024-02-28T08:00:17.788747819Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:44.169097Z", "iopub.status.busy": "2024-09-26T08:32:44.168941Z", "iopub.status.idle": "2024-09-26T08:32:44.482410Z", "shell.execute_reply": "2024-09-26T08:32:44.481815Z" } }, "outputs": [], "source": [ "from jaxns import resample\n", "\n", "samples = resample(\n", " key=jax.random.PRNGKey(0),\n", " samples=results.samples,\n", " log_weights=results.log_dp_mean,\n", " S=1000,\n", " replace=True\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "fc8a5029a0d6c509", "metadata": { "ExecuteTime": { "end_time": "2024-02-28T08:00:41.055005332Z", "start_time": "2024-02-28T08:00:18.142616281Z" }, "collapsed": false, "execution": { "iopub.execute_input": "2024-09-26T08:32:44.484915Z", "iopub.status.busy": "2024-09-26T08:32:44.484680Z", "iopub.status.idle": "2024-09-26T08:33:00.687391Z", "shell.execute_reply": "2024-09-26T08:33:00.686786Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Convergence achieved at step 2, due to log_Z 0.027936573460494607 < log_Z_ftol * log_Z_uncert 0.11888251218887814.: 40%|███████████████████████████▏ | 2/5 [00:10<00:15, 5.30s/it]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "--------\n", "Termination Conditions:\n", "Small remaining evidence\n", "--------\n", "likelihood evals: 222600\n", "samples: 2205\n", "phantom samples: 0\n", "likelihood evals / sample: 101.0\n", "phantom fraction (%): 0.0%\n", "--------\n", "logZ=-1.23 +- 0.12\n", "max(logL)=16.85\n", "H=-1.02\n", "ESS=169\n", "--------\n", "sigma: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "sigma: 0.7 +- 0.0 | 0.7 / 0.7 / 0.7 | 0.7 | 0.7\n", "--------\n", "uncert: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "uncert: 0.6 +- 0.65 | 0.04 / 0.37 / 1.62 | 0.0 | 0.0\n", "--------\n", "x: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "x: 0.1 +- 1.8 | -1.6 / -0.0 / 1.8 | 0.5 | 0.6\n", "--------\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/plotting.py:199: UserWarning: Attempting to set identical low and high xlims makes transformation singular; automatically expanding.\n", " ax.set_xlim(per_1, per_99)\n", "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/plotting.py:247: UserWarning: Attempting to set identical low and high xlims makes transformation singular; automatically expanding.\n", " ax.set_xlim(param_limits[parameters[col]])\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from jaxns.experimental import EvidenceMaximisation\n", "\n", "# Let's train the sigma parameter to maximise the evidence\n", "\n", "em = EvidenceMaximisation(model)\n", "results, params = em.train(num_steps=5)\n", "\n", "summary(results, with_parametrised=True)\n", "plot_cornerplot(results, with_parametrised=True)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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 }