{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "-Kcs3_9TL4bh" }, "source": [ "# Eight Schools: object oriented / automatic log joint\n", "\n", "## Why?\n", "Edward2 / TFD are really great and different applications will call for higher or lower level abstractions. Data scientists operate across a spectrum of modeling requirements from exploratory analysis to more in depth experimentation and analysis productionization. \n", "\n", "For many, exploratory analysis and modeling can be a large part of their work. Velocity is particularly important in this setting where the data scientist might repeatedly tweak a model and inspect its output. Furthermore, many do not have significant experience with Python (let alone TF). As such, this notebook seeks to address a few desiderata:\n", "\n", "- Tweaking should be simple and fast: changes to the model should require minimal changes elsewhere (few to no manual changes to the log joint prob function, sampling code, etc.)\n", "- Minimal knowledge of TF required while retaining flexibility for more advanced users.\n", "- Hide details when appropriate, expose flexibility on demand. The user may not know much about Bayesian stats or sampling methods, but can define a model and just wants to get plots and diagnostics quicky. On the other hand, the user should be able to access the log joint prob function and apply their own sampling routine if they want (or dive down to Edward2 / TFD).\n", "\n", "## What's different here?\n", "- Drawing inspiration from PyTorch and TF Eager conventions, models are defined as classes. Like TF Eager, the user implements a `call` function for the generative process that makes the model instance callable.\n", "- Using OO / metaclasses makes things like reflection easier in Python. This allows one to automatically create a log joint probability function by keeping track of which variables are observed and unobserved.\n", "- Automatic creation of the log joint means we can do nice things like this:\n", "\n", "```\n", "# define Model here\n", "model = Model(observed_data)\n", "trace = sample(model) # ideally default to e.g. NUTS in the future + multiple chains / diagnostics\n", "```\n", "\n", "Going forward, this enables more turn-key analysis -- define your model, feed it into a sample function that auto-tunes the sampler, runs multiple chains, and returns diagnostics and traces in a format amenable to visualization.\n", "\n", "\n", "Compare to [Eight_Schools.ipynb](https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "toc", "id": "lCiT-kqyhIql" }, "source": [ "\u003e[Eight Schools: object oriented / automatic log joint](#scrollTo=-Kcs3_9TL4bh)\n", "\n", "\u003e\u003e[Why?](#scrollTo=-Kcs3_9TL4bh)\n", "\n", "\u003e\u003e[What's different here?](#scrollTo=-Kcs3_9TL4bh)\n", "\n", "\u003e[Model Definition](#scrollTo=jiwZicYe7w3f)\n", "\n", "\u003e\u003e\u003e[The model keeps track of observed and unobserved variables.](#scrollTo=JTgbqLk6kFPt)\n", "\n", "\u003e[Criticism](#scrollTo=N20sU1Jb_9Tn)\n", "\n", "\u003e[Flexibility: sample using the model log joint directly](#scrollTo=L4EsfNFNZWt8)\n", "\n", "\u003e[Appendix: Bonus Example -- Tumors in Rats](#scrollTo=Vq2F-RVdbB7-)\n", "\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "YGPK0s6nGPd5" }, "outputs": [], "source": [ "from __future__ import absolute_import\n", "from __future__ import division\n", "from __future__ import print_function\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "\n", "import tensorflow as tf\n", "import tensorflow_probability as tfp\n", "from tensorflow_probability import edward2 as ed\n", "tfd = tfp.distributions\n", "# tf.enable_eager_execution()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "cellView": "both", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "OIx9qQwG4bwp" }, "outputs": [], "source": [ "#Model Class Source\n", "import copy\n", "import collections\n", "\n", "\n", "class MetaModel(type):\n", "\n", " def __call__(cls, *args, **kwargs):\n", " obj = type.__call__(cls, *args, **kwargs)\n", " obj._load_observed()\n", " obj._load_unobserved()\n", " return obj\n", "\n", "\n", "class BaseModel(object):\n", " __metaclass__ = MetaModel\n", "\n", " def _load_unobserved(self):\n", " unobserved_fun = self._unobserved_vars()\n", " self.unobserved = unobserved_fun()\n", "\n", " def _load_observed(self):\n", " self.observed = copy.copy(vars(self))\n", "\n", " def _unobserved_vars(self):\n", "\n", " def unobserved_fn(*args, **kwargs):\n", " unobserved_vars = collections.OrderedDict()\n", "\n", " def interceptor(f, *args, **kwargs):\n", " name = kwargs.get(\"name\")\n", " rv = f(*args, **kwargs)\n", " if name not in self.observed:\n", " unobserved_vars[name] = rv.shape\n", " return rv\n", "\n", " with ed.interception(interceptor):\n", " self.__call__()\n", " return unobserved_vars\n", "\n", " return unobserved_fn\n", " \n", "# def observe(self, states):\n", "# for name, value in states.iteritems():\n", "# setattr(self, name, value)\n", "\n", " def target_log_prob_fn(self, *args, **kwargs):\n", " \"\"\"Unnormalized target density as a function of unobserved states.\"\"\"\n", "\n", " def log_joint_fn(*args, **kwargs):\n", " states = dict(zip(self.unobserved, args))\n", " states.update(self.observed)\n", " log_probs = []\n", "\n", " def interceptor(f, *args, **kwargs):\n", " name = kwargs.get(\"name\")\n", " for name, value in states.iteritems():\n", " if kwargs.get(\"name\") == name:\n", " kwargs[\"value\"] = value\n", " rv = f(*args, **kwargs)\n", " log_prob = tf.reduce_sum(rv.distribution.log_prob(rv.value))\n", " log_probs.append(log_prob)\n", " return rv\n", "\n", " with ed.interception(interceptor):\n", " self.__call__()\n", " log_prob = sum(log_probs)\n", " return log_prob\n", "\n", " return log_joint_fn\n", "\n", " def get_posterior_fn(self, states={}, *args, **kwargs):\n", " \"\"\"Get the log joint prob given arbitrary values for vars\"\"\"\n", "\n", " def posterior_fn(*args, **kwargs):\n", "\n", " def interceptor(f, *args, **kwargs):\n", " name = kwargs.get(\"name\")\n", " for name, value in states.iteritems():\n", " if kwargs.get(\"name\") == name:\n", " kwargs[\"value\"] = value\n", " rv = f(*args, **kwargs)\n", " return rv\n", "\n", " with ed.interception(interceptor):\n", " return self.__call__()\n", "\n", " return posterior_fn\n", "\n", " def __call__(self):\n", " return self.call()\n", "\n", " def call(self, *args, **kwargs):\n", " raise NotImplementedError\n", "\n", "\n", "# This is a really quick / hacky sample function.\n", "# Ideally the user could choose the kernel or inference method\n", "# e.g., I could imagine a user defining a variational approximation in the model\n", "# and then using VI as a sample option here where the sample method looks for\n", "# model.q()\n", "# Also, it's relatively straightforward to see how one could return arbitrary\n", "# diagnostics given the model.\n", "# Todo: Add diagnostics, multiple chains, more automatic inference.\n", "def sample(model,\n", " num_results=5000,\n", " num_burnin_steps=3000,\n", " step_size=.4,\n", " num_leapfrog_steps=3,\n", " numpy=True):\n", " initial_state = []\n", " for name, shape in model.unobserved.iteritems():\n", " initial_state.append(.5 * tf.ones(shape, name=\"init_{}\".format(name)))\n", "\n", " states, kernel_results = tfp.mcmc.sample_chain(\n", " num_results=num_results,\n", " num_burnin_steps=num_burnin_steps,\n", " current_state=initial_state,\n", " kernel=tfp.mcmc.HamiltonianMonteCarlo(\n", " target_log_prob_fn=model.target_log_prob_fn(),\n", " step_size=step_size,\n", " num_leapfrog_steps=num_leapfrog_steps))\n", "\n", " if numpy:\n", " with tf.Session() as sess:\n", " states, is_accepted_ = sess.run([states, kernel_results.is_accepted])\n", " accepted = np.sum(is_accepted_)\n", " print(\"Acceptance rate: {}\".format(accepted / num_results))\n", " return dict(zip(model.unobserved.keys(), states))" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 524 }, "colab_type": "code", "executionInfo": { "elapsed": 422, "status": "ok", "timestamp": 1527538550919, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "lPNSPo5YIXkp", "outputId": "c1020b16-7944-47b3-f308-2cc33b5c4c49" }, "outputs": [ { "data": { "image/png": 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PBgAAUNWFvOpz2rRpSklJ0d69e3XDDTcoIiJCCxcuDEc2AACAKi1kUYuNjdUb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\nySfVp08fDRw4UOPHj1d+fn7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"text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1bed161c90\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "num_schools = 8 # number of schools\n", "treatment_effects = np.array(\n", " [28, 8, -3, 7, -1, 1, 18, 12], dtype=np.float32) # treatment effects\n", "treatment_stddevs = np.array(\n", " [15, 10, 16, 11, 9, 11, 10, 18], dtype=np.float32) # treatment SE\n", "\n", "fig, ax = plt.subplots()\n", "plt.bar(range(num_schools), treatment_effects, yerr=treatment_stddevs)\n", "plt.title(\"8 Schools treatment effects\")\n", "plt.xlabel(\"School\")\n", "plt.ylabel(\"Treatment effect\")\n", "fig.set_size_inches(10, 8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "jiwZicYe7w3f" }, "source": [ "# Model Definition\n", "\n", "The model is created as a class which inherits from some BaseModel class. Observed data is given as arguments at initialization and saved as instance variables (instead of being passed as function arguments).\n", "\n", "The generative model itself is defined in `call`. This method is invoked when the instance is called, e.g., `model()`. " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "FwjRpRPAsG-L" }, "outputs": [], "source": [ "class Model(BaseModel):\n", "\n", " def __init__(self, num_schools, treatment_stddevs, treatment_effects):\n", " super(BaseModel, self).__init__()\n", " self.num_schools = num_schools\n", " self.treatment_stddevs = treatment_stddevs\n", " self.treatment_effects = treatment_effects\n", "\n", " def call(self):\n", " avg_effect = ed.Normal(loc=0., scale=10., name=\"avg_effect\") # `mu` above\n", " avg_stddev = ed.Normal(\n", " loc=5., scale=1., name=\"avg_stddev\") # `log(tau)` above\n", " school_effects_standard = ed.Normal(\n", " loc=tf.zeros(self.num_schools),\n", " scale=tf.ones(self.num_schools),\n", " name=\"school_effects_standard\") # `theta_prime` above\n", " school_effects = avg_effect + tf.exp(\n", " avg_stddev) * school_effects_standard # `theta` above\n", " treatment_effects = ed.Normal(\n", " loc=school_effects,\n", " scale=self.treatment_stddevs,\n", " name=\"treatment_effects\") # `y` above\n", " return treatment_effects\n", "\n", "\n", "model = Model(num_schools, treatment_stddevs, treatment_effects)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4iGGOwGy8oZ_" }, "source": [ "We can see that calling the model runs the generative process like we'd expect." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 51 }, "colab_type": "code", "executionInfo": { "elapsed": 829, "status": "ok", "timestamp": 1527538556361, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "_apyvy547Zsn", "outputId": "5e7f2205-f6fa-4f5e-f304-1af6541246b1" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 78.43161011 -587.69158936 -484.7819519 -133.64949036 -202.16320801\n", " 24.60554314 206.56976318 90.5652771 ]\n" ] } ], "source": [ "with tf.Session() as sess:\n", " print(model().eval())" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "J0t28r84AhYe" }, "source": [ "We can simply feed `model` to a function to do inference because `model` has knowledge of which variables are observed and unobserved. The example below just uses HMC, but NUTS or some other method could be applied instead (auto-tuning and diagnostics / progress indicators would be advantageous here)." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 68 }, "colab_type": "code", "executionInfo": { "elapsed": 6062, "status": "ok", "timestamp": 1527538564162, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "BNStZe-v8zoT", "outputId": "ff09b501-71a0-4f75-f57d-05337fe58fef" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Acceptance rate: 0.6122\n", "CPU times: user 17.1 s, sys: 3.28 s, total: 20.4 s\n", "Wall time: 5.84 s\n" ] } ], "source": [ "%%time\n", "trace = sample(model)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "JTgbqLk6kFPt" }, "source": [ "### The model keeps track of observed and unobserved variables.\n", "\n", "- The data / observed variables are specified when the model is first created.\n", "- The unobserved variables and their shapes can be inferred using Edward2 random variable interception -- this facilitates automatically creating the log joint.\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 68 }, "colab_type": "code", "executionInfo": { "elapsed": 268, "status": "ok", "timestamp": 1527538571912, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "4PwB435b_XgF", "outputId": "0982bfe7-1e6b-492c-c4a3-a0aff3991f7f" }, "outputs": [ { "data": { "text/plain": [ "{'num_schools': 8,\n", " 'treatment_effects': array([ 28., 8., -3., 7., -1., 1., 18., 12.], dtype=float32),\n", " 'treatment_stddevs': array([ 15., 10., 16., 11., 9., 11., 10., 18.], dtype=float32)}" ] }, "execution_count": 7, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "model.observed" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 34 }, "colab_type": "code", "executionInfo": { "elapsed": 210, "status": "ok", "timestamp": 1527538574760, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "49947Irk_Y6r", "outputId": "de1ab2b3-20a7-4d35-afd4-5dc6def3e6fc" }, "outputs": [ { "data": { "text/plain": [ "OrderedDict([('avg_effect', TensorShape([])), ('avg_stddev', TensorShape([])), ('school_effects_standard', TensorShape([Dimension(8)]))])" ] }, "execution_count": 8, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "model.unobserved" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 306 }, "colab_type": "code", "executionInfo": { "elapsed": 237, "status": "ok", "timestamp": 1527538575522, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "66594Xo6-Cbt", "outputId": "000432a1-17b4-45a7-8153-bde5549566c1" }, "outputs": [ { "data": { "text/plain": [ "{'avg_effect': array([ 0.52175266, 0.52175266, 0.52175266, ..., 8.38200474,\n", " 6.11618328, 6.84384394], dtype=float32),\n", " 'avg_stddev': array([ 1.8201077 , 1.8201077 , 1.8201077 , ..., 2.32253695,\n", " 2.07041264, 3.11274147], dtype=float32),\n", " 'school_effects_standard': array([[ 1.78855181, 0.41810328, 0.7103501 , ..., -1.13510728,\n", " 0.28806984, 1.51059973],\n", " [ 1.78855181, 0.41810328, 0.7103501 , ..., -1.13510728,\n", " 0.28806984, 1.51059973],\n", " [ 1.78855181, 0.41810328, 0.7103501 , ..., -1.13510728,\n", " 0.28806984, 1.51059973],\n", " ..., \n", " [ 1.52262437, -0.74326545, -1.81025815, ..., -0.33872336,\n", " -0.01562524, 0.89037466],\n", " [-0.03439659, -0.123478 , -1.48321962, ..., 0.14312859,\n", " 0.38729817, -0.9845925 ],\n", " [ 0.28496501, 0.15866067, -0.59375143, ..., -0.45119238,\n", " 0.64035296, 0.5587641 ]], dtype=float32)}" ] }, "execution_count": 9, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "# The sampling function can return the trace with names because the model object\n", "# knows the names of the unobserved variables it wants to sample.\n", "trace" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "BUlccOYA-P6h" }, "outputs": [], "source": [ "school_effects_samples = (\n", " trace['avg_effect'][:, np.newaxis] +\n", " np.exp(trace['avg_stddev'])[:, np.newaxis] * trace['school_effects_standard'])" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 187 }, "colab_type": "code", "executionInfo": { "elapsed": 225, "status": "ok", "timestamp": 1527538577799, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "Dw_sqscA-IwA", "outputId": "af4b3a34-148b-41a7-9e27-e975f8b2e5c4" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "E[avg_effect] = [ 0.52175266 0.52175266 0.52175266 ..., 8.38200474 6.11618328\n", " 6.84384394]\n", "E[avg_stddev] = [ 1.8201077 1.8201077 1.8201077 ..., 2.32253695 2.07041264\n", " 3.11274147]\n", "E[school_effects_standard] =\n", "[ 0.66194665 0.08731443 -0.22485133 0.07449156 -0.32263258 -0.19342983\n", " 0.53348595 0.14055873]\n", "E[school_effects] =\n", "[ 15.23376751 7.2901454 2.62525129 7.00435686 1.90174139\n", " 3.41385674 12.95154953 8.01893139]\n" ] } ], "source": [ "print(\"E[avg_effect] = {}\".format(trace['avg_effect']))\n", "print(\"E[avg_stddev] = {}\".format(trace['avg_stddev']))\n", "print(\"E[school_effects_standard] =\")\n", "print(trace['school_effects_standard'].mean(0))\n", "print(\"E[school_effects] =\")\n", "print(school_effects_samples[:, ].mean(0))" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 724 }, "colab_type": "code", "executionInfo": { "elapsed": 1469, "status": "ok", "timestamp": 1527538580582, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "0SJHQDcP-Vwb", "outputId": "a9f40c33-ff9d-43f8-f2ee-beb7c3c2bfb1" }, "outputs": [ { "data": { "image/png": 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DAExNTbFjxw4kJCQgNDQUCQkJ2LlzJ73yJyvf4cOH46233sKcOXMQGRkJR0dHLFmyRGJa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mAAAg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\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+qpuDVXyWkDh/I4uVGys99hnS4hjiz4M3KFEo+U9IF/aeSuS3PbHae9FXM3SEY5UeM6fv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\nKoqiKIqiKIqiKAP9P4qSkuQFdWR+AAAAAElFTkSuQmCC\n", "text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1beac167d0\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings('ignore')\n", "fig, axes = plt.subplots(8, 2, sharex='col', sharey='col')\n", "fig.set_size_inches(12, 10)\n", "for i in range(num_schools):\n", " axes[i][0].plot(school_effects_samples[:,i])\n", " axes[i][0].title.set_text(\"School {} treatment effect chain\".format(i))\n", " sns.kdeplot(school_effects_samples[:,i], ax=axes[i][1], shade=True)\n", " axes[i][1].title.set_text(\"School {} treatment effect distribution\".format(i))\n", "axes[num_schools - 1][0].set_xlabel(\"Iteration\")\n", "axes[num_schools - 1][1].set_xlabel(\"School effect\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "jI2tfnDI-g40" }, "outputs": [], "source": [ "# Compute the 95% interval for school_effects\n", "school_effects_low = np.array([\n", " np.percentile(school_effects_samples[:, i], 2.5) for i in range(num_schools)\n", "])\n", "school_effects_med = np.array([\n", " np.percentile(school_effects_samples[:, i], 50) for i in range(num_schools)\n", "])\n", "school_effects_hi = np.array([\n", " np.percentile(school_effects_samples[:, i], 97.5)\n", " for i in range(num_schools)\n", "])" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 524 }, "colab_type": "code", "executionInfo": { "elapsed": 431, "status": "ok", "timestamp": 1527538590891, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "G01aXwW_-gyF", "outputId": "cb3fe94b-9d62-4311-c68d-5fff8e338afd" }, "outputs": [ { "data": { "image/png": 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k5uYiLy8PDRo0KPW9z/5xqVatmtSexMRElW2am5tLxyUxMRFt2rSRymrUqIHatWsjISGh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\nYq1du1a2bWv27Nn60Y9+5HaksFuxYoV2796tPn366IUXXnA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"text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1beac16550\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1, ncols=1, sharex=True)\n", "ax.scatter(np.array(range(num_schools)), school_effects_med, color='red', s=60)\n", "ax.scatter(\n", " np.array(range(num_schools)) + 0.1, treatment_effects, color='blue', s=60)\n", "\n", "avg_effect = trace['avg_effect'].mean()\n", "\n", "plt.plot([-0.2, 7.4], [avg_effect, avg_effect], 'k', linestyle='--')\n", "\n", "ax.errorbar(\n", " np.array(range(8)),\n", " school_effects_med,\n", " yerr=[\n", " school_effects_med - school_effects_low,\n", " school_effects_hi - school_effects_med\n", " ],\n", " fmt='none')\n", "\n", "ax.legend(('avg_effect', 'Edward2/HMC', 'Observed effect'), fontsize=14)\n", "\n", "plt.xlabel('School')\n", "plt.ylabel('Treatment effect')\n", "plt.title('Edward2 HMC estimated school treatment effects vs. observed data')\n", "fig.set_size_inches(10, 8)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 51 }, "colab_type": "code", "executionInfo": { "elapsed": 229, "status": "ok", "timestamp": 1527538593470, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "mLNrr2iM-qUL", "outputId": "aa51f50b-36f7-4a65-f817-a068f79bc2cd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Inferred posterior mean: 7.30\n", "Inferred posterior mean se: 10.18\n" ] } ], "source": [ "print(\"Inferred posterior mean: {0:.2f}\".format(\n", " np.mean(school_effects_samples[:,])))\n", "print(\"Inferred posterior mean se: {0:.2f}\".format(\n", " np.std(school_effects_samples[:,])))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "N20sU1Jb_9Tn" }, "source": [ "# Criticism\n", "\n", "Posterior inference can be done by simply passing a dictionary of variable names : values to `model.get_posterior_fn()`. While it is called the posterior function, it can be used at any time to condition on any combination of the model variables and sample from the model." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "O7EaAeCcXPfz" }, "outputs": [], "source": [ "trace_mean={\n", " \"avg_effect\": trace['avg_effect'].mean(0),\n", " \"avg_stddev\": trace['avg_stddev'].mean(0),\n", " \"school_effects_standard\": trace['school_effects_standard'].mean(0)\n", "}\n", "posterior = model.get_posterior_fn(states=trace_mean)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "oYhoa6gaXWKV" }, "outputs": [], "source": [ "with tf.Session() as sess:\n", " posterior_predictive = sess.run(posterior().distribution.sample(5000))" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 736 }, "colab_type": "code", "executionInfo": { "elapsed": 973, "status": "ok", "timestamp": 1527538599075, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "vJNW1oha-4tW", "outputId": "9ee504b1-d759-41ea-a0d8-e0c94df1d3ba" }, "outputs": [ { "data": { "image/png": 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5klnMf7/PZUp0b7p7u7RDSiE6N5se6CyEEEIIITqPTw6cpaq6lsj+3rg4662W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rJixQpKSjrGOtfU1HDPPfeQkJDAz3/+8y7L5ObmsnjxYtLS0njmmWf6YFPEcHS8sJpd+2VIYn/R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\nAwAAAACPsYgBAAAAgMdYxAAAAADAYz8BtMvtEGyEKXQAAAAASUVORK5CYII=\n", "text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1bed179d90\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n", "fig.set_size_inches(12, 10)\n", "fig.tight_layout()\n", "for i, ax in enumerate(axes):\n", " sns.kdeplot(posterior_predictive[:, 2*i], ax=ax[0], shade=True)\n", " ax[0].title.set_text(\n", " \"School {} treatment effect posterior predictive\".format(2*i))\n", " sns.kdeplot(posterior_predictive[:, 2*i + 1], ax=ax[1], shade=True)\n", " ax[1].title.set_text(\n", " \"School {} treatment effect posterior predictive\".format(2*i + 1))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "PzXIyMAAOASc" }, "outputs": [], "source": [ "# The mean predicted treatment effects for each of the eight schools.# The m \n", "prediction = posterior_predictive.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 51 }, "colab_type": "code", "executionInfo": { "elapsed": 237, "status": "ok", "timestamp": 1527538600735, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "GGuNrsRmOCxr", "outputId": "56090773-74fa-490b-f67a-9423c05edffa" }, "outputs": [ { "data": { "text/plain": [ "array([ 14.7491293 , 1.3131609 , -6.10583878, 0.29395723,\n", " -2.70766521, -2.28069067, 5.85145855, 4.52022409], dtype=float32)" ] }, "execution_count": 20, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "treatment_effects - prediction" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "RsPImwZFOHfL" }, "outputs": [], "source": [ "residuals = treatment_effects - posterior_predictive" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 736 }, "colab_type": "code", "executionInfo": { "elapsed": 1033, "status": "ok", "timestamp": 1527538602598, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "LnfgVgXdONvp", "outputId": "dde0c3b2-0599-43a2-d47e-8f752440cbc6" }, "outputs": [ { "data": { "image/png": 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02AYdA9uha2K7S49t0Lb0RVUAgEF9A6BWN52MNff35vTtocbpC0WoEUCwH9uv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\nna7TOoUQQ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Ge1hvf5PqUf0p60Pe3JOegf5Dxor7v90IC6I2Y0ylScWpNz0PNqG1y88UEB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\nOe7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"text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1be7c74d10\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n", "fig.set_size_inches(12, 10)\n", "fig.tight_layout()\n", "for i, ax in enumerate(axes):\n", " sns.kdeplot(residuals[:, 2*i], ax=ax[0], shade=True)\n", " ax[0].title.set_text(\n", " \"School {} treatment effect residuals\".format(2*i))\n", " sns.kdeplot(residuals[:, 2*i + 1], ax=ax[1], shade=True)\n", " ax[1].title.set_text(\n", " \"School {} treatment effect residuals\".format(2*i + 1))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L4EsfNFNZWt8" }, "source": [ "# Flexibility: sample using the model log joint directly\n", "\n", "What if you want to use a custom sampling or optimization method? You can access the `target_log_prob_fn` by simply calling `model.target_log_prob_fn()` which returns a log joint function that takes the unobserved variable states as arguments.\n", "\n", "This elides the necessity of explicitly defining and re-defining the log joint -- define the model, and everything follows." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 34 }, "colab_type": "code", "executionInfo": { "elapsed": 7251, "status": "ok", "timestamp": 1527538775907, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "cFmbudbsZWO0", "outputId": "05351be7-726b-4634-b409-ef10cf40c9bc" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Acceptance rate: 0.6286\n" ] } ], "source": [ "# This is identical to \n", "# https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\n", "# with one change:\n", "# original: target_log_prob_fn=target_log_prob_fn\n", "# here: target_log_prob_fn=model.target_log_prob_fn()\n", "num_results = 5000\n", "num_burnin_steps = 3000\n", "\n", "states, kernel_results = tfp.mcmc.sample_chain(\n", " num_results=num_results,\n", " num_burnin_steps=num_burnin_steps,\n", " current_state=[\n", " tf.zeros([], name='init_avg_effect'),\n", " tf.zeros([], name='init_avg_stddev'),\n", " tf.ones([num_schools], name='init_school_effects_standard'),\n", " ],\n", " kernel=tfp.mcmc.HamiltonianMonteCarlo(\n", " target_log_prob_fn=model.target_log_prob_fn(),\n", " step_size=0.4,\n", " num_leapfrog_steps=3))\n", "\n", "avg_effect, avg_stddev, school_effects_standard = states\n", "\n", "with tf.Session() as sess:\n", " [\n", " avg_effect_,\n", " avg_stddev_,\n", " school_effects_standard_,\n", " is_accepted_,\n", " ] = sess.run([\n", " avg_effect,\n", " avg_stddev,\n", " school_effects_standard,\n", " kernel_results.is_accepted,\n", " ])\n", "\n", "school_effects_samples = (\n", " avg_effect_[:, np.newaxis] +\n", " np.exp(avg_stddev_)[:, np.newaxis] * school_effects_standard_)\n", "num_accepted = np.sum(is_accepted_)\n", "print('Acceptance rate: {}'.format(num_accepted / num_results))" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 724 }, "colab_type": "code", "executionInfo": { "elapsed": 1900, "status": "ok", "timestamp": 1527538778720, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "WORqJL4NZWLd", "outputId": "8b72ab02-e479-46ab-faf0-e907d4522727" }, "outputs": [ { "data": { "image/png": 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A9vb2fPnll6xZs4bQ0FDWrFnDypUr5Z2/murt27cvTz31FFOnTmXQoEF4enry/PPP6y1r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\ngbypdv1zq9rOZYhSqcTTs6DW3sPDg4QE/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TffmJRnVRxA1gcaYr0edJ1y8grYvOcqO4/c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L07iXCbY7ty75zqyZ34/3n+xX4WhczVxs+HjRQAb3KN+8rGzg2q+LB77eTXjh4Z707OBKv67V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3aXmADVhsqiyjV1PtxSsw3wy6sZFGD+J/oVy+sJmeVGoKxKyPaakpJW9f53M6ls/SraS1QV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5TJlOENk30KI666HTVVUGDcJ+vy7ePDE5rOI61x8cUxXUB1/dCoCjnZo3r7dtZaFjydeH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\nrwiDWqpKqTC+TxUK+GtsLw6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"text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1be8bfea90\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(8, 2, sharex='col', sharey='col')\n", "fig.set_size_inches(12, 10)\n", "for i in range(num_schools):\n", " axes[i][0].plot(school_effects_samples[:,i])\n", " axes[i][0].title.set_text(\"School {} treatment effect chain\".format(i))\n", " sns.kdeplot(school_effects_samples[:,i], ax=axes[i][1], shade=True)\n", " axes[i][1].title.set_text(\"School {} treatment effect distribution\".format(i))\n", "axes[num_schools - 1][0].set_xlabel(\"Iteration\")\n", "axes[num_schools - 1][1].set_xlabel(\"School effect\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Vq2F-RVdbB7-" }, "source": [ "# Appendix: Bonus Example -- Tumors in Rats (Gelman BDA3 ch. 5, p.102-103)\n", "\n", "\n", "Briefly: we use a hierarchical model to do meta-analysis of 70 experiments on tumors in rats. We want to learn a dose-response Binomial model in which the probability of a tumor is given by a parameter $\\theta$. We partially-pool information across these studies." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "GEnAwrTva2s0" }, "outputs": [], "source": [ "num_tumors = np.array([\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 1, 5, 2, 5, 2, 7, 7, 3, 3, 2, 9, 10, 4, 4, 4, 4, 4, 4,\n", " 4, 10, 4, 4, 4, 5, 11, 12, 5, 5, 6, 5, 6, 6, 6, 6, 16, 15, 15, 9\n", "], dtype=np.float32)\n", "num_rats = np.array([\n", " 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 17, 20, 20, 20, 20, 19,\n", " 19, 18, 18, 27, 25, 24, 23, 20, 20, 20, 20, 20, 20, 10, 49, 19, 46, 17, 49,\n", " 47, 20, 20, 13, 48, 50, 20, 20, 20, 20, 20, 20, 20, 48, 19, 19, 19, 22, 46,\n", " 49, 20, 20, 23, 19, 22, 20, 20, 20, 52, 46, 47, 24\n", "], dtype=np.float32)\n", "\n", "num_trials = num_tumors.shape[0]" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "MXbfJsLmZWIk" }, "outputs": [], "source": [ "class RatsModel(BaseModel):\n", "\n", " def __init__(self, num_trials, num_rats, num_tumors):\n", " super(BaseModel, self).__init__()\n", " self.num_trials = num_trials\n", " self.num_rats = num_rats\n", " self.num_tumors = num_tumors\n", "\n", " def call(self):\n", " mu = ed.Uniform(low=0., high=1., name=\"mu\")\n", " nu = ed.Uniform(low=0., high=1., name=\"nu\")\n", "\n", " alpha = mu / (nu * nu)\n", " beta = (1. - mu) / (nu * nu)\n", "\n", " thetas = ed.Beta(alpha, beta, sample_shape=self.num_trials, name=\"thetas\")\n", "\n", " num_tumors = ed.Binomial(\n", " total_count=self.num_rats,\n", " probs=thetas,\n", " value=tf.zeros(self.num_trials),\n", " name=\"num_tumors\")\n", " return num_tumors" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "Vgqo6bJq-_QI" }, "outputs": [], "source": [ "rats_model = RatsModel(num_trials, num_rats, num_tumors)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 272 }, "colab_type": "code", "executionInfo": { "elapsed": 258, "status": "ok", "timestamp": 1527539843368, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "wM4_2i_-cEAs", "outputId": "1f28a425-708e-49ca-86bf-f8b351375a34" }, "outputs": [ { "data": { "text/plain": [ "{'num_rats': array([ 20., 20., 20., 20., 20., 20., 20., 19., 19., 19., 19.,\n", " 18., 18., 17., 20., 20., 20., 20., 19., 19., 18., 18.,\n", " 27., 25., 24., 23., 20., 20., 20., 20., 20., 20., 10.,\n", " 49., 19., 46., 17., 49., 47., 20., 20., 13., 48., 50.,\n", " 20., 20., 20., 20., 20., 20., 20., 48., 19., 19., 19.,\n", " 22., 46., 49., 20., 20., 23., 19., 22., 20., 20., 20.,\n", " 52., 46., 47., 24.], dtype=float32),\n", " 'num_trials': 70,\n", " 'num_tumors': array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1.,\n", " 3., 2., 2., 2., 2., 2., 2., 2., 2., 2., 1.,\n", " 5., 2., 5., 2., 7., 7., 3., 3., 2., 9., 10.,\n", " 4., 4., 4., 4., 4., 4., 4., 10., 4., 4., 4.,\n", " 5., 11., 12., 5., 5., 6., 5., 6., 6., 6., 6.,\n", " 16., 15., 15., 9.], dtype=float32)}" ] }, "execution_count": 43, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "rats_model.observed" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 34 }, "colab_type": "code", "executionInfo": { "elapsed": 290, "status": "ok", "timestamp": 1527539843828, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "_GB7wC3OcE5g", "outputId": "db92ec9b-34cc-4d84-b269-d0cc267791c7" }, "outputs": [ { "data": { "text/plain": [ "OrderedDict([('mu', TensorShape([])), ('nu', TensorShape([])), ('thetas', TensorShape([Dimension(70)]))])" ] }, "execution_count": 44, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "rats_model.unobserved" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 68 }, "colab_type": "code", "executionInfo": { "elapsed": 63388, "status": "ok", "timestamp": 1527539915760, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "DcgtJcVNcFud", "outputId": "4203a380-1619-4c6f-994b-63c223b37b9c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Acceptance rate: 0.6825\n", "CPU times: user 3min 50s, sys: 1min 4s, total: 4min 54s\n", "Wall time: 1min 3s\n" ] } ], "source": [ "%%time\n", "trace = sample(\n", " rats_model, step_size=0.007, num_results=20000, num_burnin_steps=30000)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 306 }, "colab_type": "code", "executionInfo": { "elapsed": 288, "status": "ok", "timestamp": 1527539972708, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "DPFZZwgPei0S", "outputId": "2c88b3a7-d9c0-4dba-a5e6-d8fd4bc3f4c2" }, "outputs": [ { "data": { "text/plain": [ "{'mu': array([ 0.13621131, 0.14919996, 0.14919996, ..., 0.1653827 ,\n", " 0.15704936, 0.15029475], dtype=float32),\n", " 'nu': array([ 0.22894755, 0.25643843, 0.25643843, ..., 0.30614921,\n", " 0.28908631, 0.29585737], dtype=float32),\n", " 'thetas': array([[ 0.03820369, 0.05505243, 0.06088362, ..., 0.39380178,\n", " 0.3433612 , 0.22458574],\n", " [ 0.03352595, 0.05040256, 0.04917854, ..., 0.41271499,\n", " 0.33252752, 0.22156732],\n", " [ 0.03352595, 0.05040256, 0.04917854, ..., 0.41271499,\n", " 0.33252752, 0.22156732],\n", " ..., \n", " [ 0.03573703, 0.11624624, 0.04754673, ..., 0.30633977,\n", " 0.26184729, 0.29495266],\n", " [ 0.02742627, 0.10674512, 0.04129248, ..., 0.32037172,\n", " 0.26268104, 0.2959362 ],\n", " [ 0.00670512, 0.13406998, 0.04245885, ..., 0.33862582,\n", " 0.25996143, 0.31802705]], dtype=float32)}" ] }, "execution_count": 48, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "trace" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 } }, "colab_type": "code", "id": "bd9NuH6KeoK3" }, "outputs": [], "source": [ "alpha_ = trace['mu'] / (trace['nu']**2)\n", "beta_ = (1. - trace['mu']) / (trace['nu']**2)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, "height": 715 }, "colab_type": "code", "executionInfo": { "elapsed": 1536, "status": "ok", "timestamp": 1527540078065, "user": { "displayName": "Joshua Safyan", "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s128", "userId": "109065868024101668323" }, "user_tz": 420 }, "id": "y8Ni7WHncSsM", "outputId": "7db269df-2506-45cc-e5e1-4eb4f11ed2b7" }, "outputs": [ { "data": { "image/png": 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RiYjI/5iQExEREflQRY0BZotNERXWW7tlYPMc5Nk5nKGAiEguTMiJyIHdFkmV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\nn/1MsW2NR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"text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1bd9ae5e10\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" }, { "data": { "image/png": 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MM0qHQBQ0vwl5SUkJ7rjjDtx2221ITU3F6NGj3bM/EhERkXqJmTXZbrejqqoKH330EWpr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\nVjokIiLqEVDJ+rZ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mtZyKYGg59mjj6r3uttgkO0awKZ4ck7p54+/+QSRf3zsO14vaLpLP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\nEEIU8P8DbcG8yMLMs4MAAAAASUVORK5CYII=\n", "text/plain": [ "\u003cmatplotlib.figure.Figure at 0x7f1be0e69e50\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "def plot_trace(trace, name):\n", " fig, axes = plt.subplots(1, 2, sharex='col', sharey='col')\n", " fig.set_size_inches(14, 5)\n", " axes[0].plot(trace)\n", " axes[0].title.set_text(\"{} Trace\".format(name))\n", " sns.kdeplot(trace, ax=axes[1], shade=False)\n", " axes[1].title.set_text(\"{} Posterior Density\".format(name))\n", " fig.tight_layout()\n", " plt.show()\n", " \n", "plot_trace(beta_, \"Beta\")\n", "plot_trace(alpha_, \"Alpha\")" ] } ], "metadata": { "colab": { "collapsed_sections": [], "default_view": {}, "name": "Higher-level API Edward2", "provenance": [ { "file_id": "1aGoZojwGcMMP23mZkxP7xugYLzyE8Olh", "timestamp": 1531520776352 }, { "file_id": "15Vth0taPoTL3JmL_tw1J2IYM22ufP_1m", "timestamp": 1531515365584 }, { "file_id": "1ypnrMnv0DMwpHcOJg33if9ZP6VEHZ_Vk", "timestamp": 1525469875195 } ], "version": "0.3.2", "views": {} } }, "nbformat": 4, "nbformat_minor": 0 }