From 3387d994cf4625c9f2b420eece0f61369305bdb1 Mon Sep 17 00:00:00 2001 From: patel-zeel Date: Wed, 13 Jul 2022 15:00:54 +0530 Subject: [PATCH] name change to `bijax` --- .github/workflows/{CI.yml => CI.yml.disabled} | 0 .../{publish.yml => publish.yml.disabled} | 0 .gitignore | 2 +- README.md | 22 ++-- {abi_jax => bijax}/__init__.py | 0 {abi_jax => bijax}/advi.py | 0 {abi_jax => bijax}/core.py | 0 {abi_jax => bijax}/laplace.py | 0 {abi_jax => bijax}/mcmc.py | 0 {abi_jax => bijax}/utils.py | 0 examples/advi/bayesian_neural_network.ipynb | 58 ++++----- examples/advi/coin_toss.ipynb | 10 +- examples/advi/gaussian_mixture_model.ipynb | 55 ++++---- examples/advi/gp_classification.ipynb | 123 ++++-------------- examples/advi/neural_linear_model.ipynb | 86 ++++++------ examples/mcmc/eight_schools_unfinished.ipynb | 4 +- pyproject.toml | 2 +- setup.cfg | 4 +- 18 files changed, 151 insertions(+), 215 deletions(-) rename .github/workflows/{CI.yml => CI.yml.disabled} (100%) rename .github/workflows/{publish.yml => publish.yml.disabled} (100%) rename {abi_jax => bijax}/__init__.py (100%) rename {abi_jax => bijax}/advi.py (100%) rename {abi_jax => bijax}/core.py (100%) rename {abi_jax => bijax}/laplace.py (100%) rename {abi_jax => bijax}/mcmc.py (100%) rename {abi_jax => bijax}/utils.py (100%) diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml.disabled similarity index 100% rename from .github/workflows/CI.yml rename to .github/workflows/CI.yml.disabled diff --git a/.github/workflows/publish.yml b/.github/workflows/publish.yml.disabled similarity index 100% rename from .github/workflows/publish.yml rename to .github/workflows/publish.yml.disabled diff --git a/.gitignore b/.gitignore index f1375ba..b1f5a3b 100644 --- a/.gitignore +++ b/.gitignore @@ -8,6 +8,6 @@ __pycache__/ *.gif *.txt *.egg-info/ -abi_jax/_version.py +bijax/_version.py build tmp.py \ No newline at end of file diff --git a/README.md b/README.md index aec4a27..7df9082 100644 --- a/README.md +++ b/README.md @@ -1,25 +1,25 @@ -## ABI_JAX +## BIJAX -Approximate Bayesian Inference in JAX. +Bayesian Inference in JAX. ## Installation ``` -pip install git+https://github.com/patel-zeel/abi_jax.git +pip install git+https://github.com/patel-zeel/bijax.git ``` -## Methods implemented in abi_jax +## Methods implemented in BIJAX -* `from abi_jax.advi import ADVI` - [Automatic Differentiation Variational Inference](https://arxiv.org/abs/1603.00788) -* `from abi_jax.laplace import ADLaplace` - Automatic Differentiation Laplace approximation. -* `from abi_jax.mcmc import MCMC` - A helper class for external Markov Chain Monte Carlo (MCMC) sampling. +* `from bijax.advi import ADVI` - [Automatic Differentiation Variational Inference](https://arxiv.org/abs/1603.00788) +* [WIP]`from bijax.laplace import ADLaplace` - Automatic Differentiation Laplace approximation. +* `from bijax.mcmc import MCMC` - A helper class for external Markov Chain Monte Carlo (MCMC) sampling. -## How to use abi_jax? +## How to use BIJAX? -abi_jax is built without too many layers of abstractions or some new conventions. Thus, it is also useful for educational purposes. If you like to directly dive into the examples, please refer to the [examples](examples) directory. +BIJAX is built without layers of abstractions or proposing new conventions. Thus, it is also useful for educational purposes. If you like to directly dive into the examples, please refer to the [examples](examples) directory. -There are a few core components of abi_jax: +There are a few core components of bijax: ### Prior `tensoflow_probability.substrates.jax` should be used to define the distributions for prior. @@ -110,7 +110,7 @@ params = model.init(seed) ``` ### Optimization -Models in abi_jax have `loss_fn` method which can be used to compute the loss. The loss can be optimized with any method that work with `JAX`. We also have a utility function `from abi_jax.utils import train` to train the model using `optax` optimizers. +Models in bijax have `loss_fn` method which can be used to compute the loss. The loss can be optimized with any method that work with `JAX`. We also have a utility function `from bijax.utils import train` to train the model using `optax` optimizers. ### Get the posterior distribution Some of the models (`ADVI` and `ADLaplace`) support `.apply()` method to get the posterior distribution. diff --git a/abi_jax/__init__.py b/bijax/__init__.py similarity index 100% rename from abi_jax/__init__.py rename to bijax/__init__.py diff --git a/abi_jax/advi.py b/bijax/advi.py similarity index 100% rename from abi_jax/advi.py rename to bijax/advi.py diff --git a/abi_jax/core.py b/bijax/core.py similarity index 100% rename from abi_jax/core.py rename to bijax/core.py diff --git a/abi_jax/laplace.py b/bijax/laplace.py similarity index 100% rename from abi_jax/laplace.py rename to bijax/laplace.py diff --git a/abi_jax/mcmc.py b/bijax/mcmc.py similarity index 100% rename from abi_jax/mcmc.py rename to bijax/mcmc.py diff --git a/abi_jax/utils.py b/bijax/utils.py similarity index 100% rename from abi_jax/utils.py rename to bijax/utils.py diff --git a/examples/advi/bayesian_neural_network.ipynb b/examples/advi/bayesian_neural_network.ipynb index d8f0d1e..98242e7 100644 --- a/examples/advi/bayesian_neural_network.ipynb +++ b/examples/advi/bayesian_neural_network.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "32259b5f", "metadata": {}, "outputs": [], @@ -23,9 +23,9 @@ "import flax.linen as nn\n", "from flax.core.frozen_dict import freeze, unfreeze\n", "\n", - "from ajax.advi import ADVI\n", - "from ajax.base import transform_dist_params\n", - "from ajax.utils import train, initialize_params\n", + "from bijax.advi import ADVI\n", + "from bijax.core import transform_dist_params\n", + "from bijax.utils import train_fn, initialize_params\n", "\n", "from functools import partial\n", "import regdata as rd\n", @@ -43,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "id": "3e215ec6", "metadata": {}, "outputs": [], @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "id": "0d7a760c", "metadata": {}, "outputs": [ @@ -82,7 +82,7 @@ "((100, 1), (100,))" ] }, - "execution_count": 3, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -118,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "f0243acd", "metadata": {}, "outputs": [], @@ -146,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "f7f34d06", "metadata": { "scrolled": false @@ -167,7 +167,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "497698f6", "metadata": {}, "outputs": [], @@ -193,7 +193,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "d4d20bbb", "metadata": {}, "outputs": [ @@ -207,7 +207,7 @@ " 'noise_scale': }" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -235,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "a1a7f49c", "metadata": { "scrolled": false @@ -251,7 +251,7 @@ " 'noise_scale': }" ] }, - "execution_count": 8, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -272,7 +272,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "1fd20f0e", "metadata": {}, "outputs": [], @@ -293,7 +293,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "c3f3062a", "metadata": {}, "outputs": [], @@ -311,7 +311,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "ceb8984a", "metadata": {}, "outputs": [], @@ -334,7 +334,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "id": "a2518956", "metadata": {}, "outputs": [ @@ -342,8 +342,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 8.15 s, sys: 1.15 s, total: 9.3 s\n", - "Wall time: 4.44 s\n" + "CPU times: user 8.04 s, sys: 1.13 s, total: 9.16 s\n", + "Wall time: 4.55 s\n" ] } ], @@ -354,7 +354,7 @@ "seed2 = jax.random.PRNGKey(init + 5)\n", "\n", "loss_fn = partial(model.loss_fn, inputs={\"X\": X}, outputs=y, full_data_size=len(y), n_samples=100)\n", - "results = train(\n", + "results = train_fn(\n", " loss_fn,\n", " params,\n", " n_epochs=1000,\n", @@ -374,7 +374,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "id": "c2c9bab3", "metadata": { "scrolled": true @@ -382,7 +382,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -407,7 +407,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "id": "34202144", "metadata": {}, "outputs": [], @@ -433,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "id": "99ae81cc", "metadata": {}, "outputs": [ @@ -443,7 +443,7 @@ "(1000, 200)" ] }, - "execution_count": 17, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -468,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "id": "b034a6c7", "metadata": { "scrolled": false @@ -478,12 +478,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.101322226\n" + "0.08503217\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] diff --git a/examples/advi/coin_toss.ipynb b/examples/advi/coin_toss.ipynb index 84fef0f..53ba387 100644 --- a/examples/advi/coin_toss.ipynb +++ b/examples/advi/coin_toss.ipynb @@ -27,8 +27,8 @@ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", - "from abi_jax import ADVI, MCMC\n", - "from abi_jax.utils import train_fn\n", + "from bijax import ADVI, MCMC\n", + "from bijax.utils import train_fn\n", "\n", "import pymc as pm\n", "import numpy as np\n", @@ -228,7 +228,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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" ] @@ -434,7 +434,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 2000/2000 [00:01<00:00, 1105.29it/s, init loss: 5.7461, avg. loss [1901-2000]: 4.9520]\n" + "100%|██████████| 2000/2000 [00:01<00:00, 1093.07it/s, init loss: 5.7461, avg. loss [1901-2000]: 4.9520]\n" ] }, { diff --git a/examples/advi/gaussian_mixture_model.ipynb b/examples/advi/gaussian_mixture_model.ipynb index 876b740..4280e1e 100644 --- a/examples/advi/gaussian_mixture_model.ipynb +++ b/examples/advi/gaussian_mixture_model.ipynb @@ -5,12 +5,12 @@ "id": "e372e31a", "metadata": {}, "source": [ - "# Variational Bayes for Gaussian Mixture Models using AJAX" + "# Variational Bayes for Gaussian Mixture Models using bijax" ] }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 15, "id": "e3264976", "metadata": {}, "outputs": [], @@ -30,10 +30,10 @@ "from functools import partial\n", "\n", "try:\n", - " from ajax.advi import ADVI\n", + " from bijax.advi import ADVI\n", "except ModuleNotFoundError:\n", - " %pip install git+https://github.com/patel-zeel/ajax.git\n", - " from ajax.advi import ADVI\n", + " %pip install git+https://github.com/patel-zeel/bijax.git\n", + " from bijax.advi import ADVI\n", " \n", "try:\n", " from probml_utils.plotting import savefig, latexify\n", @@ -41,7 +41,7 @@ " %pip install git+https://github.com/probml/probml-utils.git\n", " from probml_utils.plotting import savefig, latexify\n", "\n", - "from ajax.utils import train#, build_log_joint\n", + "from bijax.utils import train_fn\n", "\n", "from jax.config import config\n", "config.update(\"jax_enable_x64\", True)\n", @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 16, "id": "9519f2e8", "metadata": {}, "outputs": [ @@ -95,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 17, "id": "cd80d7f3", "metadata": {}, "outputs": [], @@ -124,7 +124,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 18, "id": "7b1757e3", "metadata": { "scrolled": true @@ -136,7 +136,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 22, "id": "e0ebf99c", "metadata": {}, "outputs": [], @@ -144,16 +144,16 @@ "seed = jax.random.PRNGKey(123)\n", "params = model.init(seed)\n", "\n", - "loss_fn = partial(model.loss_fn, outputs=data_normalized, inputs=None, full_data_size=ndata, n_samples=1)\n", + "loss_fn = partial(model.loss_fn, outputs=data_normalized, inputs=None, full_data_size=ndata, n_samples=100)\n", "\n", "tx = optax.adam(learning_rate=2e-2)\n", "seed = jax.random.PRNGKey(1)\n", - "results = train(loss_fn, params, tx, n_epochs=1000, seed=seed, return_args={\"losses\"})" + "results = train_fn(loss_fn, params, tx, n_epochs=1000, seed=seed, return_args={\"losses\"})" ] }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 23, "id": "6de924b7", "metadata": { "scrolled": false @@ -161,7 +161,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -186,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 171, + "execution_count": 24, "id": "e8eaa38b", "metadata": {}, "outputs": [], @@ -236,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 172, + "execution_count": 25, "id": "7a3cd9a6", "metadata": { "scrolled": false @@ -246,12 +246,13 @@ "name": "stderr", "output_type": "stream", "text": [ - " /home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:79: UserWarning:set FIG_DIR environment variable to save figures\n" + "/home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:80: UserWarning: set FIG_DIR environment variable to save figures\n", + " warnings.warn(\"set FIG_DIR environment variable to save figures\")\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -272,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 173, + "execution_count": 26, "id": "65202302", "metadata": {}, "outputs": [ @@ -280,12 +281,13 @@ "name": "stderr", "output_type": "stream", "text": [ - " /home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:79: UserWarning:set FIG_DIR environment variable to save figures\n" + "/home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:80: UserWarning: set FIG_DIR environment variable to save figures\n", + " warnings.warn(\"set FIG_DIR environment variable to save figures\")\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -306,7 +308,7 @@ }, { "cell_type": "code", - "execution_count": 176, + "execution_count": 27, "id": "9122b1c8", "metadata": { "scrolled": true @@ -316,12 +318,13 @@ "name": "stderr", "output_type": "stream", "text": [ - " /home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:79: UserWarning:set FIG_DIR environment variable to save figures\n" + "/home/patel_zeel/miniconda3/envs/ajax/lib/python3.9/site-packages/probml_utils/plotting.py:80: UserWarning: set FIG_DIR environment variable to save figures\n", + " warnings.warn(\"set FIG_DIR environment variable to save figures\")\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -342,7 +345,7 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": 28, "id": "edd1194a", "metadata": {}, "outputs": [ @@ -355,7 +358,7 @@ " 'scale': (10, 2)}" ] }, - "execution_count": 177, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } diff --git a/examples/advi/gp_classification.ipynb b/examples/advi/gp_classification.ipynb index a612ae7..9e5777f 100644 --- a/examples/advi/gp_classification.ipynb +++ b/examples/advi/gp_classification.ipynb @@ -2,10 +2,18 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "id": "c3a96efc", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING (aesara.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" + ] + } + ], "source": [ "from time import time\n", "import jax\n", @@ -20,8 +28,8 @@ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", - "from abi_jax import ADVI, MCMC\n", - "from abi_jax.utils import train_fn\n", + "from bijax import ADVI, MCMC\n", + "from bijax.utils import train_fn\n", "\n", "import pymc as pm\n", "import numpy as np\n", @@ -34,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 2, "id": "ce89d5d3", "metadata": { "scrolled": true @@ -68,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "id": "5121e2df", "metadata": {}, "outputs": [ @@ -87,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "id": "b2ebf76c", "metadata": {}, "outputs": [], @@ -128,18 +136,10 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": null, "id": "89332e69", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5.5663111209869385 minutes\n" - ] - } - ], + "outputs": [], "source": [ "mcmc = MCMC(prior, bijector, log_likelihood_fn)\n", "kernel = mcmc.get_nuts_kernel(outputs=y, inputs=x, step_size=1e-3)\n", @@ -157,28 +157,10 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": null, "id": "7f2eed72", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.06661317348480225 minutes\n" - ] - }, - { - "data": { - "text/plain": [ - "((100, 100), (100, 100))" - ] - }, - "execution_count": 127, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "eps = 1\n", "n = 100\n", @@ -205,7 +187,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "6cce44bb", "metadata": {}, "outputs": [], @@ -236,23 +218,10 @@ }, { "cell_type": "code", - "execution_count": 129, + "execution_count": null, "id": "a6648413", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plot_uq(y_pred_mean, y_pred_std);" ] @@ -267,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "51b980bd", "metadata": {}, "outputs": [], @@ -277,27 +246,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "fa46abe9", "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "Using a non-tuple sequence for multidimensional indexing is not allowed; use `arr[tuple(seq)]` instead of `arr[seq]`. See https://github.com/google/jax/issues/4564 for more information.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "Input \u001b[0;32mIn [15]\u001b[0m, in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m# print(params['posterior'].mean(), params['posterior'].variance())\u001b[39;00m\n\u001b[1;32m 8\u001b[0m loss_fn \u001b[38;5;241m=\u001b[39m jax\u001b[38;5;241m.\u001b[39mtree_util\u001b[38;5;241m.\u001b[39mPartial(advi\u001b[38;5;241m.\u001b[39mloss_fn, outputs\u001b[38;5;241m=\u001b[39my, inputs\u001b[38;5;241m=\u001b[39mx, full_data_size\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mlen\u001b[39m(y))\n\u001b[0;32m----> 9\u001b[0m \u001b[43mlog_likelihood_fn\u001b[49m\u001b[43m(\u001b[49m\u001b[43mparams\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mposterior\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m]\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msample\u001b[49m\u001b[43m(\u001b[49m\u001b[43mseed\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mseed\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n", - "Input \u001b[0;32mIn [6]\u001b[0m, in \u001b[0;36mlog_likelihood_fn\u001b[0;34m(latent_sample, outputs, inputs, **kwargs)\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mlog_likelihood_fn\u001b[39m(latent_sample, outputs, inputs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[0;32m---> 12\u001b[0m f_sample, gp \u001b[38;5;241m=\u001b[39m \u001b[43mget_gp_sample\u001b[49m\u001b[43m(\u001b[49m\u001b[43mlatent_sample\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minputs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 13\u001b[0m likelihood \u001b[38;5;241m=\u001b[39m tfd\u001b[38;5;241m.\u001b[39mBernoulli(logits\u001b[38;5;241m=\u001b[39mf_sample)\n\u001b[1;32m 14\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m likelihood\u001b[38;5;241m.\u001b[39mlog_prob(outputs)\u001b[38;5;241m.\u001b[39msum()\n", - "Input \u001b[0;32mIn [6]\u001b[0m, in \u001b[0;36mget_gp_sample\u001b[0;34m(latent_sample, inputs)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mget_gp_sample\u001b[39m(latent_sample, inputs):\n\u001b[0;32m----> 2\u001b[0m scale \u001b[38;5;241m=\u001b[39m jnp\u001b[38;5;241m.\u001b[39mexp(\u001b[43mlatent_sample\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mscale\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m]\u001b[49m)\n\u001b[1;32m 3\u001b[0m scaled_inputs \u001b[38;5;241m=\u001b[39m inputs\u001b[38;5;241m/\u001b[39mscale\n\u001b[1;32m 4\u001b[0m gp_kernel \u001b[38;5;241m=\u001b[39m jnp\u001b[38;5;241m.\u001b[39mexp(latent_sample[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mvar\u001b[39m\u001b[38;5;124m'\u001b[39m]) \u001b[38;5;241m*\u001b[39m kernels\u001b[38;5;241m.\u001b[39mExpSquared(scale\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1.0\u001b[39m)\n", - "File \u001b[0;32m~/miniconda3/envs/ajax/lib/python3.9/site-packages/jax/_src/numpy/lax_numpy.py:3540\u001b[0m, in \u001b[0;36m_rewriting_take\u001b[0;34m(arr, idx, indices_are_sorted, unique_indices, mode, fill_value)\u001b[0m\n\u001b[1;32m 3537\u001b[0m stop \u001b[38;5;241m=\u001b[39m arr\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;28;01mif\u001b[39;00m idx\u001b[38;5;241m.\u001b[39mstop \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;28;01melse\u001b[39;00m idx\u001b[38;5;241m.\u001b[39mstop\n\u001b[1;32m 3538\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _getslice(arr, start, stop)\n\u001b[0;32m-> 3540\u001b[0m treedef, static_idx, dynamic_idx \u001b[38;5;241m=\u001b[39m \u001b[43m_split_index_for_jit\u001b[49m\u001b[43m(\u001b[49m\u001b[43midx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43marr\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mshape\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 3541\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _gather(arr, treedef, static_idx, dynamic_idx, indices_are_sorted,\n\u001b[1;32m 3542\u001b[0m unique_indices, mode, fill_value)\n", - "File \u001b[0;32m~/miniconda3/envs/ajax/lib/python3.9/site-packages/jax/_src/numpy/lax_numpy.py:3615\u001b[0m, in \u001b[0;36m_split_index_for_jit\u001b[0;34m(idx, shape)\u001b[0m\n\u001b[1;32m 3610\u001b[0m \u001b[38;5;124;03m\"\"\"Splits indices into necessarily-static and dynamic parts.\u001b[39;00m\n\u001b[1;32m 3611\u001b[0m \n\u001b[1;32m 3612\u001b[0m \u001b[38;5;124;03mUsed to pass indices into `jit`-ted function.\u001b[39;00m\n\u001b[1;32m 3613\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 3614\u001b[0m \u001b[38;5;66;03m# Convert list indices to tuples in cases (deprecated by NumPy.)\u001b[39;00m\n\u001b[0;32m-> 3615\u001b[0m idx \u001b[38;5;241m=\u001b[39m \u001b[43m_eliminate_deprecated_list_indexing\u001b[49m\u001b[43m(\u001b[49m\u001b[43midx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 3617\u001b[0m \u001b[38;5;66;03m# Expand any (concrete) boolean indices. We can then use advanced integer\u001b[39;00m\n\u001b[1;32m 3618\u001b[0m \u001b[38;5;66;03m# indexing logic to handle them.\u001b[39;00m\n\u001b[1;32m 3619\u001b[0m idx \u001b[38;5;241m=\u001b[39m _expand_bool_indices(idx, shape)\n", - "File \u001b[0;32m~/miniconda3/envs/ajax/lib/python3.9/site-packages/jax/_src/numpy/lax_numpy.py:3895\u001b[0m, in \u001b[0;36m_eliminate_deprecated_list_indexing\u001b[0;34m(idx)\u001b[0m\n\u001b[1;32m 3891\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 3892\u001b[0m msg \u001b[38;5;241m=\u001b[39m (\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mUsing a non-tuple sequence for multidimensional indexing is not allowed; \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 3893\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124muse `arr[array(seq)]` instead of `arr[seq]`. \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 3894\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mSee https://github.com/google/jax/issues/4564 for more information.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m-> 3895\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(msg)\n\u001b[1;32m 3896\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 3897\u001b[0m idx \u001b[38;5;241m=\u001b[39m (idx,)\n", - "\u001b[0;31mTypeError\u001b[0m: Using a non-tuple sequence for multidimensional indexing is not allowed; use `arr[tuple(seq)]` instead of `arr[seq]`. See https://github.com/google/jax/issues/4564 for more information." - ] - } - ], + "outputs": [], "source": [ "seed = jax.random.PRNGKey(0)\n", "optimizer = optax.adam(learning_rate=0.0001)\n", @@ -326,7 +278,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "id": "f9da1ae0", "metadata": {}, "outputs": [], @@ -381,34 +333,15 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": null, "id": "850cd814", "metadata": { "scrolled": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "DeviceArray(3399.78922223, dtype=float64)" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "objective(x_obs, y_obs)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "01cb209e", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/examples/advi/neural_linear_model.ipynb b/examples/advi/neural_linear_model.ipynb index 1d23b28..59942ed 100644 --- a/examples/advi/neural_linear_model.ipynb +++ b/examples/advi/neural_linear_model.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "id": "32259b5f", "metadata": {}, "outputs": [], @@ -22,9 +22,9 @@ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", - "from ajax.advi import ADVI\n", - "from ajax.base import transform_dist_params\n", - "from ajax.utils import train, initialize_params\n", + "from bijax.advi import ADVI\n", + "from bijax.core import transform_dist_params\n", + "from bijax.utils import train_fn, initialize_params\n", "\n", "from functools import partial\n", "import regdata as rd\n", @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "id": "3e215ec6", "metadata": {}, "outputs": [], @@ -64,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "id": "0d7a760c", "metadata": {}, "outputs": [ @@ -81,7 +81,7 @@ "((100, 1), (100,))" ] }, - "execution_count": 3, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, @@ -117,7 +117,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "id": "f0243acd", "metadata": {}, "outputs": [], @@ -142,7 +142,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "id": "a6f096db", "metadata": {}, "outputs": [ @@ -152,7 +152,7 @@ "(100,)" ] }, - "execution_count": 5, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -173,7 +173,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "id": "f7f34d06", "metadata": { "scrolled": false @@ -207,7 +207,7 @@ "})" ] }, - "execution_count": 6, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "id": "497698f6", "metadata": {}, "outputs": [ @@ -254,7 +254,7 @@ " [ 0.0288471 ]], dtype=float32)}}}" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -282,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "id": "d4d20bbb", "metadata": {}, "outputs": [ @@ -293,7 +293,7 @@ " 'kernel': }}}" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -319,7 +319,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "id": "a1a7f49c", "metadata": { "scrolled": true @@ -332,7 +332,7 @@ " 'kernel': }}}" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -352,7 +352,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "id": "1fd20f0e", "metadata": {}, "outputs": [], @@ -376,7 +376,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "id": "c3f3062a", "metadata": {}, "outputs": [], @@ -394,7 +394,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "id": "ceb8984a", "metadata": {}, "outputs": [], @@ -414,7 +414,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 16, "id": "a2518956", "metadata": {}, "outputs": [ @@ -422,8 +422,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 6.64 s, sys: 1.22 s, total: 7.86 s\n", - "Wall time: 4.42 s\n" + "CPU times: user 7.35 s, sys: 1.34 s, total: 8.69 s\n", + "Wall time: 6.65 s\n" ] } ], @@ -434,7 +434,7 @@ "seed2 = jax.random.PRNGKey(init + 5)\n", "\n", "loss_fn = partial(model.loss_fn, inputs={\"X\": X}, outputs=y, full_data_size=len(y), n_samples=100)\n", - "results = train(\n", + "results = train_fn(\n", " loss_fn,\n", " params,\n", " n_epochs=20000,\n", @@ -446,28 +446,28 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 17, "id": "963787d9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'params': {'log_noise_scale': DeviceArray(-2.8454833, dtype=float32),\n", - " 'mlp_params': {'params': {'Dense_0': {'bias': DeviceArray([ 0. , 0. , -0.22669978, 0. ,\n", - " -0.33321518, -0.29768008, -0.38232845, 0. ,\n", + "{'params': {'log_noise_scale': DeviceArray(-3.6541853, dtype=float32),\n", + " 'mlp_params': {'params': {'Dense_0': {'bias': DeviceArray([ 0. , 0. , -0.15914324, 0. ,\n", + " -0.34641784, -0.30050346, -0.38571617, 0. ,\n", " 0. , 0. , 0. , 0. ,\n", - " -0.27496648, 0. , -0.0660319 , -0.30162513], dtype=float32),\n", - " 'kernel': DeviceArray([[-0.01561241, -0.7494856 , 0.48327857, -1.3324082 ,\n", - " 0.7126357 , 0.63551235, 0.8138066 , -0.87009794,\n", + " 0.15448804, 0. , -0.00669614, -0.30679905], dtype=float32),\n", + " 'kernel': DeviceArray([[-0.01561241, -0.7494856 , 0.95457 , -1.3324082 ,\n", + " 0.8921254 , 0.61364335, 0.7853247 , -0.87009794,\n", " -1.4571064 , -0.5685537 , -1.7247839 , -1.0837975 ,\n", - " 0.588867 , -0.854734 , 0.14853178, 0.6436516 ]], dtype=float32)}}},\n", + " 0.99790084, -0.854734 , 0.01346357, 0.6237599 ]], dtype=float32)}}},\n", " 'posterior': },\n", - " 'losses': DeviceArray([8.1133769e+05, 9.8833588e+05, 7.5665644e+05, ...,\n", - " 2.9829662e+00, 2.9574804e+00, 3.1571722e+00], dtype=float32)}" + " 'losses': DeviceArray([6.6277651e+08, 8.0289677e+08, 6.4402413e+08, ...,\n", + " 2.0044613e+03, 2.0669446e+03, 2.4036260e+03], dtype=float32)}" ] }, - "execution_count": 14, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -486,7 +486,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 18, "id": "c2c9bab3", "metadata": { "scrolled": true @@ -494,7 +494,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -519,7 +519,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "id": "34202144", "metadata": {}, "outputs": [], @@ -545,7 +545,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, "id": "99ae81cc", "metadata": {}, "outputs": [ @@ -555,7 +555,7 @@ "(1000, 200)" ] }, - "execution_count": 17, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -581,7 +581,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "id": "b034a6c7", "metadata": { "scrolled": true @@ -589,7 +589,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] diff --git a/examples/mcmc/eight_schools_unfinished.ipynb b/examples/mcmc/eight_schools_unfinished.ipynb index 8560cde..2fdbb0f 100644 --- a/examples/mcmc/eight_schools_unfinished.ipynb +++ b/examples/mcmc/eight_schools_unfinished.ipynb @@ -29,7 +29,7 @@ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", - "from ajax.mcmc import MCMC\n", + "from bijax.mcmc import MCMC\n", "\n", "from functools import partial\n", "import regdata as rd\n", @@ -396,7 +396,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python [conda env:ajax]", + "display_name": "Python [conda env:bijax]", "language": "python", "name": "conda-env-ajax-py" }, diff --git a/pyproject.toml b/pyproject.toml index fe97389..27d2960 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -9,7 +9,7 @@ requires = [ ] [tool.setuptools_scm] -write_to = "abi_jax/_version.py" +write_to = "bijax/_version.py" [tool.black] line-length = 120 diff --git a/setup.cfg b/setup.cfg index 1d32cd3..9a1da6b 100644 --- a/setup.cfg +++ b/setup.cfg @@ -1,9 +1,9 @@ [metadata] -name = abi_jax +name = bijax author = Zeel B Patel author-email = patel_zeel@iitgn.ac.in description = Approximate Bayesian Inference in JAX -url = https://github.com/patel-zeel/abi_jax +url = https://github.com/patel-zeel/bijax license = MIT long_description_content_type = text/markdown long_description = file: README.md