{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Solving PDE-based BIP using core CUQIpy\n", "\n", "\n", "Here we build a Bayesian problem in which the forward model is a partial differential equation (PDE) model, the 1D heat problem in particular.\n", "\n", "**Try to at least run through part 1 to 3 before working on the optional exercises.**\n", "\n", "## Learning objectives of this notebook:\n", "- Solve PDE-based Bayesian problem using CUQIpy.\n", "- Use different parametrizations of the Bayesian parameters (e.g. KL expansion, non-linear maps).\n", "\n", "## Table of contents: \n", "* [1. Loading the PDE test problem](#PDE_model)\n", "* [2. Building and solving the Bayesian inverse problem](#inverse_problem)\n", "* [3. Parametrizing the unknown parameters via step function expansion](#step_function)\n", "* [4. ★ Observe on part of the domain](#Partial_Observation) \n", "* [5. ★ Parametrizing the unknown parameters via KL expansion](#KL_expansion)\n", "\n", "★ Indicates optional section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " ⚠️ Note: \n", " \n", " - This notebook was run on a local machine and not using github actions for this book due to its long execution time.\n", "\n", " - This notebook uses MCMC samplers from the new cuqi.experimental.mcmc module, which are expected to become the default soon. Check out the documentation for more details.\n", "\n", "\n", "
" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Loading the PDE test problem \n", "\n", "We first import the required python standard packages that we need:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from math import floor" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "From CUQIpy we import the classes that we use in this exercise:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from cuqi.testproblem import Heat1D\n", "from cuqi.distribution import Gaussian, JointDistribution\n", "from cuqi.experimental.mcmc import PCN, MH, CWMH" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We load the test problem `Heat1D` which provides a one dimensional (1D) time-dependent heat model with zero boundary conditions. The model is discretized using finite differences.\n", "\n", "The PDE is given by:\n", "\n", "$$ \\frac{\\partial u(\\xi,\\tau)}{\\partial \\tau} - c^2 \\Delta_\\xi u(\\xi,\\tau) = f(\\xi,\\tau), \\;\\text{in}\\;[0,L] $$\n", "$$u(0,\\tau)= u(L,\\tau)= 0 $$\n", "\n", "where $u(\\xi,\\tau)$ is the temperature and $c^2$ is the thermal diffusivity (assumed to be 1 here). We assume the source term $f$ is zero. The unknown parameters (random variable) for this test problem is the initial heat profile $g(\\xi):=u(\\xi,0)$.\n", "\n", "The data $y$ is a random variable containing the temperature measurements everywhere in the domain at the final time $\\tau^\\mathrm{max}$ corrupted by Gaussian noise:\n", "\n", "$$y = \\mathcal{G}(g) + \\eta, \\;\\;\\; \\eta\\sim\\mathrm{Gaussian}(0,\\sigma_\\text{noise}^2\\mathbf{I}),$$ \n", "\n", "where $\\mathcal{G}(g)$ is the forward model that maps the initial condition $g$ to the final time solution via solving the 1D time-dependent heat problem. $\\eta$ is the measurement noise.\n", "\n", "Given observed data $y^\\text{obs}$ the task is to infer the initial heat profile $g$.\n", "\n", "Before we load the `Heat1D` problem, let us set the parameters: final time $\\tau^\\mathrm{max}$, number of finite difference nodes $N$, and the length of the domain $L$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "N = 30 # Number of finite difference nodes \n", "L = 1 # Length of the domain\n", "tau_max = 0.02 # Final time" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We assume that the exact initial condition that we want to infer is a step function with three pieces. Here we use regular Python and NumPy functions to define the initial condition." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "n_steps = 3\n", "n_steps_values = [0,1,2]\n", "myExactSolution = np.zeros(N)\n", "\n", "start_idx=0\n", "for i in range(n_steps):\n", " end_idx = floor((i+1)*N/n_steps)\n", " myExactSolution[start_idx:end_idx] = n_steps_values[i]\n", " start_idx = end_idx" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We plot the exact solution for each node $\\xi_i$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'i')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(myExactSolution)\n", "plt.xlabel(\"i\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "While it is possible to create a PDE model from scratch, for this notebook we use the `Heat1D` test problem that is already implemented in CUQIpy.\n", "\n", "We may extract components of a `Heat1D` instance by calling the `get_components` method." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "model, data, problemInfo = Heat1D(\n", " dim=N, \n", " endpoint=L, \n", " max_time=tau_max, \n", " exactSolution=myExactSolution\n", ").get_components()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let us take a look at what we obtain from the test problem. We view the `model`:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CUQI PDEModel: Continuous1D(30,) -> Continuous1D(30,).\n", " Forward parameters: ['x'].\n", " PDE: TimeDependentLinearPDE." ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that the forward model parameter, named `x` here, is the unknown parameter which we want to infer. It represents the initial condition $g$ above, or a a parameterization of it. \n", "\n", "\n", "We can look at the returned `data`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CUQIarray: NumPy array wrapped with geometry.\n", "---------------------------------------------\n", "\n", "Geometry:\n", " Continuous1D(30,)\n", "\n", "Parameters:\n", " True\n", "\n", "Array:\n", "CUQIarray([0.02155588, 0.04193481, 0.08725646, 0.12451742, 0.1836122 ,\n", " 0.24767928, 0.28258524, 0.34038648, 0.40991494, 0.48751798,\n", " 0.57255476, 0.69108276, 0.75281419, 0.86716848, 0.92012267,\n", " 1.02898355, 1.08892438, 1.17718424, 1.21036726, 1.24497108,\n", " 1.24995716, 1.2938437 , 1.24399608, 1.20878174, 1.10657437,\n", " 0.98088088, 0.82656687, 0.62407869, 0.44378147, 0.21086027])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And the `problemInfo`:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ProblemInfo with the following set attributes:\n", "['infoString', 'exactData', 'exactSolution']\n", " infoString: Noise type: Additive i.i.d. noise with mean zero and signal to noise ratio: 200" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "problemInfo" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now let us plot the exact solution (exact initial condition) of this inverse problem and the exact and noisy data (the final time solution before and after adding observation noise):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "problemInfo.exactSolution.plot()\n", "problemInfo.exactData.plot()\n", "data.plot()\n", "plt.legend(['exact solution', 'exact data', 'noisy data']);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that the values of the initial solution and the data at 0 and $L$ are not included in this plot." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "\n", "#### Try yourself (optional)\n", "* The data plotted above was generated from the model. Confirm that the model actually generates this data (the exact data) by applying `model.forward` on the exact solution (the initial heat profile)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "* Can you view the heat profile at time $\\tau= 0.001$? At $0.002, 0.003, ..., 0.02$? What do you notice? (hint: you can do that by choosing different final time when loading `Heat1D`)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In case the parameters were changed in the exercise, we reset them here" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "N = 30 # Number of finite difference nodes \n", "L = 1 # Length of the domain\n", "tau_max = 0.02 # Final time\n", "model, data, problemInfo = Heat1D(\n", " dim=N, \n", " endpoint=L, \n", " max_time=tau_max, \n", " exactSolution=myExactSolution\n", ").get_components()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Building and solving the Bayesian inverse problem \n", "\n", "The joint distribution of the data $y$ and the parameter $x$ (where $x$ represents the unknown values of the initial condition $g$ at the grid nodes in this section) is given by\n", "\n", "$$p(x,y) = p(y|x)p(x)$$\n", "\n", "\n", "\n", "Where $p(x)$ is the prior pdf, $p(y|x)$ is the data distribution pdf (likelihood). We start by defining the prior distribution $p(x)$:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "mean = 0\n", "std = 1.2\n", "x = Gaussian(mean, cov=std**2, geometry=model.domain_geometry) # The prior distribution" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "\n", "#### Try yourself (optional)\n", "* Create prior samples.\n", "* Plot the $95\\%$ credibility interval of the prior samples.\n", "* Look at the $95\\%$ credibility interval of the PDE model solution to quantify the forward uncertainty.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To define the data distribution $p(y|x)$, we first estimate the noise level. Because here we know the exact data, we can estimate the noise level as follows:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "sigma_noise = np.std(problemInfo.exactData - data)*np.ones(model.range_dim) # noise level" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And then define the data distribution $p(y|x)$: " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "y = Gaussian(mean=model(x), cov=sigma_noise**2, geometry=model.range_geometry)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have all the components we need, we can create the joint distribution $p(x,y)$, from which the posterior distribution can be created by setting $y=y^\\text{obs}$ (we named the observed data as `data` in our code):" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "First, we define the joint distribution $p(x,y)$:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "JointDistribution(\n", " Equation: \n", "\tp(y,x) = p(y|x)p(x)\n", " Densities: \n", "\ty ~ CUQI Gaussian. Conditioning variables ['x'].\n", "\tx ~ CUQI Gaussian.\n", ")\n" ] } ], "source": [ "joint = JointDistribution(y, x)\n", "print(joint)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The posterior distribution pdf is given by the Bayes rule:\n", "$$ p(x|y=y^\\text{obs}) \\propto p(y=y^\\text{obs}|x)p(x) $$ \n", "By setting $y=\\texttt{data}$ in the joint distribution we obtain the posterior distribution:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Posterior(\n", " Equation:\n", "\t p(x|y) ∝ L(x|y)p(x)\n", " Densities:\n", "\ty ~ CUQI Gaussian Likelihood function. Parameters ['x'].\n", " \tx ~ CUQI Gaussian.\n", " )\n" ] } ], "source": [ "posterior = joint(y=data)\n", "print(posterior)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can now sample the posterior. Let's try the preconditioned Crank-Nicolson (pCN) sampler (~30 seconds):" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "tags": [ "scroll-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 30000/30000 [00:32<00:00, 933.43it/s] \n" ] } ], "source": [ "MySampler = PCN(posterior)\n", "posterior_samples = MySampler.warmup(30000, tune_freq=0.01).get_samples()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note here we use the `warmup` sampling method for the entire sampling run and we set the tuning frequency to 0.01, which means that the scale of the proposal distribution is adapted every 1% of the samples.\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the $95\\%$ credible interval:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_ci(95, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the mean reconstruction of the initial solution matches the general trend of the exact solution to some extent but it does not capture the piece-wise constant nature of the exact solution.\n", "\n", "Also we note that since the heat problem has zero boundary conditions, the initial solution reconstruction tend to go to zero at the right boundary. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Parametrizing the unknown parameters via step function expansion " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "One way to improve the solution of this Bayesian problem is to use better prior information. Here we assume the prior is a step function with three pieces (which is exactly how we created the exact solution). This also makes the Bayesian inverse problem simpler because now we only have three unknown parameters to infer.\n", "\n", "To test this case we pass `field_type='Step'` to the constructor of `Heat1D`, which creates a `StepExpansion` domain geometry for the model during initializing the `Heat1D` test problem. It is also possible to change the domain geometry manually after initializing the test problem, but we will not do that here. \n", "\n", "The parameter `field_params` is a dictionary that is used to pass keyword arguments that the underlying domain field geometry accepts. For example `StepExpansion` has a keyword argument `n_steps` and thus we can set `field_params={'n_steps': 3}`." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "n_steps = 3 # number of steps in the step expansion domain geometry\n", "N = 30\n", "model, data, problemInfo = Heat1D(\n", " dim=N,\n", " endpoint=L,\n", " max_time=tau_max,\n", " field_type=\"Step\",\n", " field_params={\"n_steps\": n_steps},\n", " exactSolution=myExactSolution,\n", ").get_components()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the `model` in this case: " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CUQI PDEModel: StepExpansion(3,) -> Continuous1D(30,).\n", " Forward parameters: ['x'].\n", " PDE: TimeDependentLinearPDE." ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then continue to create the Bayesian inverse problem (prior, data distribution and then posterior) with a prior of dimension = n_steps. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Prior\n", "x = Gaussian(mean, std**2, geometry=model.domain_geometry)\n", "\n", "# Data distribution\n", "sigma_noise = np.std(problemInfo.exactData - data)*np.ones(model.range_dim) # noise level\n", "y = Gaussian(mean=model(x), cov=sigma_noise**2, geometry=model.range_geometry)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And the posterior:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "joint = JointDistribution(y, x)\n", "posterior = joint(y=data)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then sample the posterior using Metropolis Hastings `MH` sampler (~30 seconds)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "tags": [ "scroll-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 30000/30000 [00:27<00:00, 1071.97it/s]\n" ] } ], "source": [ "MySampler = MH(posterior)\n", "posterior_samples = MySampler.warmup(30000, tune_freq=0.01).get_samples()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the posterior:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3, 30000)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_ci(95, exact=problemInfo.exactSolution)\n", "posterior_samples.shape" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We show the trace plot: a plot of the kernel density estimator (left) and chains (right) of the `n_steps` variables:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_trace()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We show pair plot of 2D marginal posterior distributions: " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[, ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_pair()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We notice that there seems to be some burn-in samples until the chain reaches the high density region. We show the pair plot after removing 200 burn-in:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[, ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.burnthin(1000).plot_pair()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see that, visually, the burn-in is indeed removed. Another observation here is the clear correlation (or inverse correlation) between each pair of the variables." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can also see the effect of removing the burn-in if we look at the $100\\%$ credible interval before and after removing the burn-in. Let us look at the $100\\%$ credible interval before:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_ci(100, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And after removing the burn-in:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.burnthin(1000).plot_ci(100, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We compute the effective sample size (ESS) which approximately gives the number of independent samples in the chain:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 73.16167664, 153.2512918 , 186.62845361])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_samples.compute_ess()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "#### Try it yourself (optional):\n", "* For this step function parametrization, try to enforce positivity of prior and the posterior samples via log parametrization which can be done by initialing `Heat1D` with `map = lambda x : np.exp(x)`. Then run the Metropolis Hastings sampler again (similar to part 3)." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 4. ★ Observe on part of the domain " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Here we solve the same problem as in section 3 but with observing the data only on the right half of the domain. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We chose the number of steps to be 4:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "N = 30\n", "n_steps = 4 # Number of steps in the StepExpansion geometry. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Then we write the `observation_nodes` map which can be passed to the `Heat1D`.\n", "It is a lambda function that takes the forward model range grid (`range_grid`) as an input and generates a sub grid of the nodes where we have observations (data). " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "# observe in the right half of the domain\n", "observation_nodes = lambda range_grid: range_grid[np.where(range_grid>L/2)] " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We load the `Heat1D` problem. Note in this case we do not pass an `exactSolution`. If no `exactSolution` is passed, the `Heat1D` test problem will create an exact solution." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "model, data, problemInfo = Heat1D(\n", " dim=N,\n", " endpoint=L,\n", " max_time=tau_max,\n", " field_type=\"Step\",\n", " field_params={\"n_steps\": n_steps},\n", " observation_grid_map=observation_nodes,\n", ").get_components()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now let us plot the exact solution of this inverse problem and the exact and noisy data:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "problemInfo.exactSolution.plot()\n", "problemInfo.exactData.plot()\n", "data.plot()\n", "plt.legend(['exact solution', 'exact data', 'noisy data']);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then continue to create the Bayesian inverse problem (prior, data distribution and then posterior) with a prior of dimension = 4. " ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "# Prior\n", "x = Gaussian(1, std**2, geometry=model.domain_geometry)\n", "\n", "# Data distribution\n", "sigma_noise = np.std(problemInfo.exactData - data)*np.ones(model.range_dim) # noise level\n", "y = Gaussian(mean=model(x), cov=sigma_noise**2, geometry=model.range_geometry)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And the posterior:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "joint = JointDistribution(y, x)\n", "posterior = joint(y=data)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then sample the posterior using the Metropolis Hastings sampler (~40 seconds)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "tags": [ "scroll-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 20000/20000 [00:18<00:00, 1058.62it/s]\n" ] } ], "source": [ "MySampler = MH(posterior, initial_point=np.ones(posterior.dim))\n", "posterior_samples = MySampler.warmup(20000, tune_freq=0.01).get_samples()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the posterior:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.burnthin(1000).plot_ci(95, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We see that the credible interval is wider on the side of the domain where data is not available (the left side) and narrower as we get to the right side of the domain." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 5. ★ Parametrizing the unknown parameters via KL expansion " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Here we explore the Bayesian inversion for a more general exact solution. We parametrize the Bayesian parameters using Karhunen–Loève (KL) expansion. This will represent the inferred heat initial profile as a linear combination of sine functions. \n", "\n", "$$u(\\xi_j,0) = \\sum_{i=0}^{N-2} \\left(\\frac{1}{(i+1)^\\gamma\\tau_\\mathrm{KL}}\\right) x_i \\, \\text{sin}\\left(\\frac{\\pi}{N}(i+1)(j+\\frac{1}{2})\\right) + \\frac{(-1)^j}{2}\\left(\\frac{1}{N^\\gamma\\tau_\\mathrm{KL}}\\right) x_{N-1}$$\n", "\n", " \n", "where $\\xi_j$ is the $j^\\text{th}$ grid point (in a regular grid), $j=0, 1, 2, 3, ..., N-1$, $N$ is the number of nodes in the grid, $\\gamma$ is a decay rate, $\\tau_\\mathrm{KL}$ is a normalization constant, and $x_i$ are the expansion coefficients (the Bayesian parameters here). " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's load the `Heat1D` test case and pass `field_type = 'KL'`, which behind the scenes will set the domain geometry of the model to be a KL expansion geometry (See [`KLExpansion`](https://cuqi-dtu.github.io/CUQIpy/api/_autosummary/cuqi.geometry/cuqi.geometry.KLExpansion.html#cuqi.geometry.KLExpansion) documentation for details): " ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "N = 35\n", "model, data, problemInfo = Heat1D(\n", " dim=N,\n", " endpoint=L,\n", " max_time=tau_max,\n", " field_type=\"KL\"\n", ").get_components()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we inspect the `model`:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CUQI PDEModel: KLExpansion(35,) -> Continuous1D(35,).\n", " Forward parameters: ['x'].\n", " PDE: TimeDependentLinearPDE." ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And the exact solution and the data:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "problemInfo.exactSolution.plot()\n", "problemInfo.exactData.plot()\n", "data.plot()\n", "plt.legend(['exact solution', 'exact data', 'noisy data']);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that the exact solution here is a general signal that is not constructed from the basis functions. We define the prior $p(x)$ as an i.i.d multivariate Gaussian with variance $3^2$. We determined the choice of this variance value through trial and error approach to get a reasonable Bayesian reconstruction of the exact solution:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "sigma_prior = 3*np.ones(model.domain_dim)\n", "x = Gaussian(mean, sigma_prior**2, geometry=model.domain_geometry)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We define the data distribution:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "sigma_noise = np.std(problemInfo.exactData - data)*np.ones(model.range_dim) # noise level\n", "y = Gaussian(mean=model(x), cov=sigma_noise**2, geometry=model.range_geometry)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And the posterior distribution:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "joint = JointDistribution(y, x)\n", "posterior = joint(y=data)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We sample the posterior, here we use Component-wise Metropolis Hastings (~90 seconds):" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "tags": [ "scroll-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [01:13<00:00, 27.20it/s]\n" ] } ], "source": [ "MySampler = CWMH(posterior, initial_point=np.ones(N))\n", "posterior_samples = MySampler.warmup(2000, tune_freq=0.01).get_samples()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And plot the $95\\%$ credibility interval (you can try plotting different credibility intervals, e.g. $80\\%$) " ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_ci(95, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The credibility interval can have zero width at some locations where the upper and lower limits seem to intersect and switch order (uppers becomes lower and vice versa). To look into what actually happen here, we plot some samples:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples_burnthin = posterior_samples.burnthin(0,10)\n", "for i, s in enumerate(posterior_samples_burnthin):\n", " model.domain_geometry.plot(s)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The samples seem to paint a different picture than what the credibility interval plot shows. Note that the computed credibility interval above, is computed on the domain geometry parameter space, then converted to the function space for plotting. We can alternatively convert the samples to function values first, then compute and plot the credibility interval." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Convert samples to function values:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "funvals_samples = posterior_samples.funvals" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Then plot the credibility interval computed from the function values:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "funvals_samples.plot_ci(95, exact=problemInfo.exactSolution)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the credibility interval now reflects what the samples plot shows and does not have these locations where the upper and lower bounds intersect." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the effective sample size (ESS):" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 48.80059703, 171.82597925, 12.21091786, 46.54004929,\n", " 22.52401927, 67.68602087, 74.08079598, 58.37290908,\n", " 41.83281616, 54.56967814, 52.70384653, 40.01953536,\n", " 331.1514258 , 32.0284844 , 65.05234881, 60.14208066,\n", " 61.04166084, 9.08819505, 48.02420851, 25.61172436,\n", " 93.76350538, 30.75696809, 44.13958884, 9.24421007,\n", " 37.46170191, 44.30450236, 62.1372466 , 48.60346056,\n", " 15.13719105, 34.13800695, 56.22208743, 71.07707933,\n", " 32.12711357, 43.70962222, 31.33962729])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_samples.compute_ess()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We note that the ESS varies considerably among the variables. We can view the trace plot for, let's say, the first and the second variables:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_trace([0,1])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We note that the (as expected from the values of ESS) the chain quality of $x1$, which corresponds to the second coefficient in the KL expansion, is much better than that of the first variable $x0$. Low quality chain (where chain samples are highly correlated) indicates difficulty in exploring the corresponding parameter and possibly high sensitivity of the model to that particular parameter. Sampling methods that incorporate gradient information (which we do not explore in this notebook) are expected to work better in this situation. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "A third way of looking at the credibility intervals, is to look at the expansion coefficients $x_i$ credibility intervals. We plot the credibility intervals for these coefficients from both prior and posterior samples by passing the flag `plot_par=True` to `plot_ci` function:" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The prior:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x.sample(1000).plot_ci(95, plot_par=True)\n", "plt.xticks(np.arange(x.dim)[::5]);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The posterior:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posterior_samples.plot_ci(95, plot_par=True)\n", "plt.xticks(np.arange(x.dim)[::5]);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "By comparing the two plots above, we see that the first few coefficients are inferred with higher certainty than the remaining coefficients. In parts, this is due to the nature of the Heat problem where high oscillatory initial heat features (corresponding to the higher modes in the expansion) will be smoothed out (lost) faster and thus are harder to retrieve based on measurements from the final solution. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.8 ('base')", "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": "3.10.5" }, "vscode": { "interpreter": { "hash": "4ff4ac6af9578637e0e623c40bf41129eb04e2c9abec3a9480d43324f3a3fec8" } } }, "nbformat": 4, "nbformat_minor": 4 }