{
"cells": [
{
"cell_type": "markdown",
"id": "0bb41914-c066-44ea-9217-fb2d5c326cee",
"metadata": {},
"source": [
"# Distribution of maximum for 1-D posterior example (RBF covariance)"
]
},
{
"cell_type": "markdown",
"id": "506ed597-73da-480a-93c1-0e093d48e3f5",
"metadata": {},
"source": [
"> Investigation into the distribution of the maximum for a 1-D toy example."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2dd71b29-d8ad-478f-91dc-b1dd0fc9e2a1",
"metadata": {
"nbsphinx": "hidden",
"tags": []
},
"outputs": [],
"source": [
"import warnings\n",
"warnings.simplefilter(action='ignore', category=FutureWarning)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "801e1d44-176e-4b3b-8e95-967fe8983914",
"metadata": {},
"outputs": [],
"source": [
"from dolfin import *\n",
"import numpy as np\n",
"import numba\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pandas as pd\n",
"import matplotlib.cm as cm\n",
"# plt.rcParams['figure.figsize'] = (10,6)\n",
"from scipy.stats import multivariate_normal, linregress\n",
"from scipy import integrate\n",
"from scipy.spatial.distance import cdist, pdist, squareform\n",
"from scipy.linalg import sqrtm\n",
"from scipy.interpolate import interp1d\n",
"import sympy; sympy.init_printing()\n",
"from tqdm import tqdm\n",
"# code for displaying matrices nicely\n",
"def display_matrix(m):\n",
" display(sympy.Matrix(m))\n",
"# import required functions from oneDim\n",
"from statFEM_analysis.oneDim import mean_assembler, cov_assembler, kernMat, m_post, gen_sensor, MyExpression, m_post_fem_assembler, c_post, c_post_fem_assembler, sample_gp"
]
},
{
"cell_type": "markdown",
"id": "f8f57d61-93ca-41d5-8b61-1b8b36d4e530",
"metadata": {},
"source": [
"Let's first import the `wass` function created in the sub-module `maxDist`."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "52489f5c-399c-4f94-af25-a642433c1461",
"metadata": {},
"outputs": [],
"source": [
"from statFEM_analysis.maxDist import wass"
]
},
{
"cell_type": "markdown",
"id": "76d951a1-3fc1-4281-8037-cb4e38a19d99",
"metadata": {},
"source": [
"## Sampling from true maxiumum distribution in 1D"
]
},
{
"cell_type": "markdown",
"id": "5e3592c8-6b5c-4cf0-b60d-cabdef1d8d1a",
"metadata": {},
"source": [
"We will be interested in the toy example introduced in oneDim
, however we will use different values for the parameters in the distribution of $f$. To obtain a sample for the maximum from the true posterior we must first sample trajectories from the true posterior."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "37ad729e-b473-48b3-9b7c-8f566dce188b",
"metadata": {},
"outputs": [],
"source": [
"# set up mean and kernel functions\n",
"l_f = 0.01\n",
"σ_f = 0.1\n",
"\n",
"@numba.jit\n",
"def m_f(x):\n",
" return 1.0\n",
"\n",
"@numba.jit\n",
"def c_f(x,y):\n",
" return (σ_f**2)*np.exp(-(x-y)**2/(2*(l_f**2)))\n",
"\n",
"# translation invariant form of c_f\n",
"@numba.jit\n",
"def k_f(x):\n",
" return (σ_f**2)*np.exp(-(x**2)/(2*(l_f**2)))\n",
"\n",
"# mean of forcing for use in FEniCS\n",
"f_bar = Constant(1.0)\n",
"\n",
"# true prior solution mean\n",
"μ_true = Expression('0.5*x[0]*(1-x[0])',degree=2)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6bc588b2-6958-411c-9b2c-4cdc4cea56a2",
"metadata": {},
"outputs": [],
"source": [
"# set up true prior cov function for solution\n",
"# compute inner integral over t\n",
"def η(w,y):\n",
" I_1 = integrate.quad(lambda t: t*c_f(w,t),0.0,y)[0]\n",
" I_2 = integrate.quad(lambda t: (1-t)*c_f(w,t),y,1.0)[0]\n",
" return (1-y)*I_1 + y*I_2\n",
"\n",
"# use this function eta and compute the outer integral over w\n",
"def c_u(x,y):\n",
" I_1 = integrate.quad(lambda w: (1-w)*η(w,y),x,1.0)[0]\n",
" I_2 = integrate.quad(lambda w: w*η(w,y),0.0,x)[0]\n",
" return x*I_1 + (1-x)*I_2"
]
},
{
"cell_type": "markdown",
"id": "bd267bde-b2a5-41f6-a800-0db32214d180",
"metadata": {},
"source": [
"We will also need a function `u_quad` to accurately compute the solution for a given realisation of $f$ in order to generate sensor data. This is set up below:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "4efeb58d-7ed9-4712-b493-4e025637898b",
"metadata": {},
"outputs": [],
"source": [
"def u_quad(x,f,maxiter=50):\n",
" I_1 = integrate.quadrature(lambda w: w*f(w), 0.0, x,maxiter=maxiter)[0]\n",
" I_2 = integrate.quadrature(lambda w: (1-w)*f(w),x, 1.0,maxiter=maxiter)[0]\n",
" return (1-x)*I_1 + x*I_2"
]
},
{
"cell_type": "markdown",
"id": "208dd705-b279-461f-ae39-0f72f2d84c92",
"metadata": {},
"source": [
"We now set up a reference grid on which we will simulate trajectories. We take a grid of length $N = 41$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "6d4c4b11-c394-4266-ba04-b514da694d25",
"metadata": {},
"outputs": [],
"source": [
"N = 41\n",
"grid = np.linspace(0,1,N)"
]
},
{
"cell_type": "markdown",
"id": "b1c991e9-83a5-4fde-a2b9-67a648b56ccf",
"metadata": {},
"source": [
"We now set up the sensor grid and the true prior covariance on this sensor grid which will be needed in all further computations. We also set up the function which gives the vector $\\{c_u(x,y_i)\\}_{i=1}^{s}$ needed for the posterior."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "32b347e2-416f-4d37-98da-af89ef8a1acc",
"metadata": {},
"outputs": [],
"source": [
"s = 10 # number of sensors\n",
"# create sensor grid\n",
"Y = np.linspace(0.01,0.99,s)[::-1] \n",
"# get true prior covariance on sensor grid\n",
"C_true_s = kernMat(c_u,Y.flatten())\n",
"# create function to compute vector mentioned above\n",
"def c_u_vect(x):\n",
" return np.array([c_u(x,y_i) for y_i in Y])"
]
},
{
"cell_type": "markdown",
"id": "cdd21126-d01d-42b1-9646-415a2d8adb1f",
"metadata": {},
"source": [
"We now set up a function to get the statFEM prior and posterior for a FE mesh of size $h$, using functions from oneDim
."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "83702ad1-550a-41ba-b244-ff08640e8185",
"metadata": {},
"outputs": [],
"source": [
"# set up function to compute fem_prior\n",
"def fem_prior(h,f_bar,k_f,grid):\n",
" J = int(np.round(1/h))\n",
" μ = mean_assembler(h,f_bar)\n",
" Σ = cov_assembler(J,k_f,grid,False,True)\n",
" return μ,Σ"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "6dec9e8e-21ef-42db-a62a-41c3a83cc596",
"metadata": {},
"outputs": [],
"source": [
"# set up function to compute statFEM posterior\n",
"def fem_posterior(h,f_bar,k_f,ϵ,Y,v_dat,grid):\n",
" J = int(np.round(1/h))\n",
" m_post_fem = m_post_fem_assembler(J,f_bar,k_f,ϵ,Y,v_dat)\n",
" μ = MyExpression()\n",
" μ.f = m_post_fem\n",
" Σ = c_post_fem_assembler(J,k_f,grid,Y,ϵ,False,True)\n",
" return μ,Σ"
]
},
{
"cell_type": "markdown",
"id": "213bc041-0837-457d-b114-c2c8355c0d69",
"metadata": {},
"source": [
"Let's see how different levels of sensor noise change the statFEM posterior from the statFEM prior."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "6adf2f87-a1bb-4480-9061-992094694a60",
"metadata": {},
"outputs": [],
"source": [
"ϵ_list = [0.0001,0.0005,0.001,0.01]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "cd010cef-4479-4376-bcf7-a25519ee6ce2",
"metadata": {},
"outputs": [],
"source": [
"h = 0.05\n",
"μ_prior, Σ_prior = fem_prior(h,f_bar,k_f,grid)\n",
"posteriors = {}\n",
"sensor_dat = {}\n",
"np.random.seed(12345)\n",
"for ϵ in ϵ_list:\n",
" v_dat = gen_sensor(ϵ,m_f,k_f,Y,u_quad,grid,maxiter=400)\n",
" sensor_dat[ϵ] = v_dat\n",
" μ_posterior, Σ_posterior = fem_posterior(h,f_bar,k_f,ϵ,Y,v_dat,grid)\n",
" posteriors[ϵ] = (μ_posterior,Σ_posterior)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "440e59bf-0c28-4e5c-9212-9829875038fe",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20,15))\n",
"J_plot = 50\n",
"for (i,ϵ) in enumerate(ϵ_list):\n",
" μ_posterior, Σ_posterior = posteriors[ϵ]\n",
" v_dat = sensor_dat[ϵ]\n",
" plt.subplot(2,2,i + 1)\n",
" plot(μ_prior,mesh=UnitIntervalMesh(J_plot),label='prior mean')\n",
" plot(μ_posterior,mesh=UnitIntervalMesh(J_plot),label='posterior mean')\n",
" plt.scatter(Y,v_dat,c='red',linewidth=3,marker='x',label='sensor observations')\n",
" plt.grid()\n",
" plt.xlabel(\"$x$\")\n",
" plt.ylabel(\"$u$\")\n",
" plt.ylim(0,0.15)\n",
" plt.title('Prior and Posterior Means, ϵ: %.4f' % ϵ)\n",
" plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d29e724d-7652-4ad1-8fb2-b916057f4463",
"metadata": {},
"source": [
"Let's also plot the prior covariances next to the posterior covariances"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "339b27c0-6f3d-4e4c-b6c2-7dbbd0d40f33",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(4,3,figsize=(24,28))\n",
"for (i,ϵ) in enumerate(ϵ_list):\n",
" μ_posterior, Σ_posterior = posteriors[ϵ]\n",
" sns.heatmap(Σ_prior,cbar=True,\n",
" annot=False,\n",
" xticklabels=False,\n",
" yticklabels=False,\n",
" cmap=cm.viridis,\n",
" ax=axs[i,0])\n",
" axs[i,0].set_title('Prior covariance matrix, ϵ: %.4f' % ϵ)\\\n",
" \n",
" sns.heatmap(Σ_posterior,cbar=True,\n",
" annot=False,\n",
" xticklabels=False,\n",
" yticklabels=False,\n",
" cmap=cm.viridis,\n",
" ax=axs[i,1])\n",
" axs[i,1].set_title('Posterior covariance matrix, ϵ: %.4f' % ϵ)\n",
" \n",
" axs[i,2].plot(grid,np.diag(Σ_prior),label='prior')\n",
" axs[i,2].plot(grid,np.diag(Σ_posterior),label='posterior')\n",
" axs[i,2].grid()\n",
" axs[i,2].set_xlabel('$x$')\n",
" axs[i,2].set_ylabel('$\\operatorname{var}(u(x))$')\n",
" axs[i,2].set_title('Variance at each grid point, ϵ: %.4f' % ϵ)\n",
" axs[i,2].legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "3515fea9-5413-40fe-b63c-891ed4fdb5df",
"metadata": {},
"source": [
"Let's now consider a particular example to see if the code works and also to calibrate the number of bins. We now generate sensor data and set up the true posterior mean and covariance functions."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "2f98d81a-a279-4124-bfdc-ce38e726633e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ϵ: 0.001\n"
]
}
],
"source": [
"# sensor noise level\n",
"ϵ = ϵ_list[2]\n",
"print('ϵ: ',ϵ)\n",
"np.random.seed(235)\n",
"v_dat = gen_sensor(ϵ,m_f,k_f,Y,u_quad,grid,maxiter=300)\n",
"\n",
"# get true B mat required for posterior\n",
"B_true = (ϵ**2)*np.eye(s) + C_true_s\n",
"\n",
"# set up true posterior mean\n",
"def true_mean(x):\n",
" return m_post(x,μ_true,c_u_vect,v_dat,Y,B_true)\n",
"\n",
"# set up true posterior covariance\n",
"def c_post_true(x,y):\n",
" return c_post(x,y,c_u,Y,B_true)"
]
},
{
"cell_type": "markdown",
"id": "3aebd06d-0bef-46ec-974b-ca0ba773adf2",
"metadata": {},
"source": [
"We now sample trajectories from the true posterior and plot these."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "2226b04c-6a5b-4e1f-9eec-fec9f6fd30d7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 5.31 s, sys: 6.1 ms, total: 5.31 s\n",
"Wall time: 1min 18s\n"
]
}
],
"source": [
"%%time\n",
"n_sim = 1000\n",
"np.random.seed(12345)\n",
"u_sim = sample_gp(n_sim, true_mean, c_post_true, grid,True,False)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "3bb31592-a441-442f-bca3-402423a33eb5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#hide_input\n",
"plt.rcParams['figure.figsize'] = (10,6)\n",
"plt.plot(grid,u_sim)\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$u$')\n",
"plt.title('Trajectories from the true posterior')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "1794baa8-489a-4317-a902-850a3141fabd",
"metadata": {},
"source": [
"Let's now get the maximum value for each simulated curve and store this in a variable `max_true` for future use. We plot the histogram for these maximum values."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "1d15006e-ba95-4746-86af-abc4dd88ec28",
"metadata": {},
"outputs": [],
"source": [
"max_true = u_sim.max(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "2a8653a7-07cf-4cd4-902a-805182383dbb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.displot(max_true,kde=True,stat=\"density\")\n",
"plt.xlabel('$\\max$')\n",
"plt.title('Histogram of maximum for true posterior')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "1bd3bd45-5c26-4412-9a99-bc7a0ee86321",
"metadata": {},
"source": [
"## Sampling from statFEM posterior maxiumum distribution in 1D"
]
},
{
"cell_type": "markdown",
"id": "d43d3824-0ad6-48c1-8fa2-30f1325c8938",
"metadata": {},
"source": [
"We now create a function to utilise FEniCS to draw trajectories from the statFEM posterior."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "928a9403-e837-459c-a97b-241fc4b3bf7f",
"metadata": {},
"outputs": [],
"source": [
"def statFEM_posterior_sampler(n_sim, grid, h, f_bar, k_f, ϵ, Y, v_dat, par = False, trans = True, tol = 1e-9):\n",
" # get length of grid\n",
" d = len(grid)\n",
" \n",
" # get size of FE mesh\n",
" J = int(np.round(1/h))\n",
" \n",
" # get statFEM posterior mean function\n",
" m_post_fem = m_post_fem_assembler(J,f_bar,k_f,ϵ,Y,v_dat)\n",
" μ_func = MyExpression()\n",
" μ_func.f = m_post_fem\n",
" \n",
" # evaluate this on the grid\n",
" μ = np.array([μ_func(x) for x in grid]).reshape(d,1)\n",
" \n",
" # get statFEM posterior cov mat on grid\n",
" Σ = c_post_fem_assembler(J,k_f,grid,Y,ϵ,False,True)\n",
" \n",
" # construct the cholesky decomposition Σ = GG^T\n",
" # we add a small diagonal perturbation to Σ to ensure it\n",
" # strictly positive definite\n",
" G = np.linalg.cholesky(Σ + tol * np.eye(d))\n",
"\n",
" # draw iid standard normal random vectors\n",
" Z = np.random.normal(size=(d,n_sim))\n",
"\n",
" # construct samples from GP(m,k)\n",
" Y = G@Z + np.tile(μ,n_sim)\n",
"\n",
" # return the sampled trajectories\n",
" return Y"
]
},
{
"cell_type": "markdown",
"id": "8e91028a-d8b9-42cd-8ed3-74a1e6c44ff7",
"metadata": {},
"source": [
"Let's test this function out by using it to obtain samples from the statFEM posterior for a particular value of $h$."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "05cb4a11-7c50-4e2f-a461-997c252f6fb4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 115 ms, sys: 10 ms, total: 125 ms\n",
"Wall time: 119 ms\n"
]
}
],
"source": [
"%%time\n",
"h = 0.1\n",
"np.random.seed(3542)\n",
"u_sim_statFEM = statFEM_posterior_sampler(n_sim, grid, h, f_bar, k_f, ϵ, Y, v_dat)"
]
},
{
"cell_type": "markdown",
"id": "32061b25-d83a-4266-97c7-c8c3d79e2ce2",
"metadata": {},
"source": [
"Let's plot the above trajectories."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "0a706d89-a59b-46a1-945f-0289340d2409",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (10,6)\n",
"plt.plot(grid,u_sim_statFEM)\n",
"plt.grid()\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$u$')\n",
"plt.title('Trajectories from statFEM posterior with $h = $ %0.1f' % h)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "6242f3fb-8d28-475a-81ad-9f29050f1cad",
"metadata": {},
"source": [
"Let's now get the maximum value for each simulated curve and store this in a variable `max_statFEM` for future use. We then plot the histograms for these maximum values together with those from the true posterior."
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "bc8946bf-d333-43de-8f0e-44896d966dd9",
"metadata": {},
"outputs": [],
"source": [
"max_statFEM = u_sim_statFEM.max(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "79e55458-781b-496f-a1f6-2915b6636946",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"max_data = pd.DataFrame(data={'True': max_true, 'statFEM': max_statFEM})\n",
"sns.displot(max_data,kde=True,stat=\"density\")\n",
"plt.xlabel('$\\max$')\n",
"plt.title('Histograms of maximums for true and statFEM posteriors')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5e64b3b5-ec49-41c3-876f-4f8632cd45d0",
"metadata": {},
"source": [
"Our `wass` function requires the number of bins to be specified. Let's investigate how varying this parameter affects the computed distance between the true maximums and our statFEM maximums."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "bcac6fb0-3d53-4005-9d0c-92a740564fc0",
"metadata": {},
"outputs": [],
"source": [
"n_bins = np.arange(10,200,10)\n",
"wass_bin_dat = [wass(max_true,max_statFEM,n) for n in n_bins]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "597b2b4d-976b-4ece-8e26-3c5a2f535c79",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(n_bins,wass_bin_dat)\n",
"plt.grid()\n",
"plt.xlabel('number of bins')\n",
"plt.ylabel('2-Wasser distance')\n",
"plt.title('Plot showing how number of bins influences the computed distance')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c886bc2c-4b76-4f8e-8236-f72d88c8ea8d",
"metadata": {},
"source": [
"From the plot above we see that the distance seems to stabilize after around $100$ bins. We choose to take `n_bins=150` for the rest of this example."
]
},
{
"cell_type": "markdown",
"id": "b64c1eb7-11ed-46df-8bb3-6a1d74fbd0cb",
"metadata": {},
"source": [
"We now set up a range of $h$-values to use for the statFEM posterior."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "f846db77-5910-4928-853d-d8623efe64e2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.25, 0.2 , 0.17, 0.14, 0.12, 0.11, 0.1 , 0.09, 0.08, 0.08, 0.07,\n",
" 0.07, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.05, 0.04, 0.04, 0.04,\n",
" 0.04, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# set up range of h values to use\n",
"h_range_tmp = np.linspace(0.25,0.02,100)\n",
"h_range = 1/np.unique(np.round(1/h_range_tmp))\n",
"np.round(h_range,2)"
]
},
{
"cell_type": "markdown",
"id": "10c12651-2dbd-4110-ae84-f66d51af2042",
"metadata": {},
"source": [
"We now loop over these $h$-values, and for each value we simulate maximums from the statFEM posterior and then compute the 2-Wasserstein distance between these maximums and those from the true posterior."
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "8238b0b3-57d9-42c3-b9c9-8802fc6860da",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 30/30 [00:02<00:00, 14.67it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 2.06 s, sys: 7.08 ms, total: 2.07 s\n",
"Wall time: 2.05 s\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"%%time\n",
"errors = []\n",
"###################\n",
"n_bins = 150\n",
"##################\n",
"np.random.seed(3252)\n",
"for h in tqdm(h_range):\n",
" # sample trajectories from statFEM prior for current h value\n",
" sim = statFEM_posterior_sampler(n_sim, grid, h, f_bar, k_f, ϵ, Y, v_dat)\n",
" # get max\n",
" max_sim = sim.max(axis=0)\n",
" # compute error\n",
" error = wass(max_true,max_sim,n_bins)\n",
" # append to errors\n",
" errors.append(error)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "05f25fc4-e4cf-45f1-a3af-ba9228a7ce83",
"metadata": {},
"outputs": [],
"source": [
"errors = np.array(errors)"
]
},
{
"cell_type": "markdown",
"id": "8aa1ba2d-cc34-4734-9262-8bb15b569eb2",
"metadata": {},
"source": [
"We see that as $h$ decreases so too does the distance/error. Let's investigate the rate by plotting this data in log-log space and then estimating the slope of the line of best fit."
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "b07bdc6e-46f1-4092-8391-75dc344e9458",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(h_range,errors)\n",
"plt.grid()\n",
"plt.xlabel('$h$')\n",
"plt.ylabel('error')\n",
"plt.title('Plot of errors vs $h$ for $\\max$')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e0fce4bb-22bc-40d0-b7b9-d30c74975615",
"metadata": {},
"source": [
"We see that as $h$ decreases so too does the distance/error. Let's investigate the rate by plotting this data in log-log space and then estimating the slope of the line of best fit."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "1f92c80a-346b-4a84-90be-63da34a10126",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"slope: 1.417570 intercept: -4.420736 r value: 0.717469 p value: 0.000008\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#hide_input\n",
"log_h_range = np.log(h_range)\n",
"log_errors = np.log(errors)\n",
"\n",
"# perform linear regression to get line of best fit for the log scales:\n",
"lm = linregress(log_h_range,log_errors)\n",
"print(\"slope: %f intercept: %f r value: %f p value: %f\" % (lm.slope, lm.intercept, lm.rvalue, lm.pvalue))\n",
"\n",
"# plot line of best fit with the data:\n",
"x = np.linspace(np.min(log_h_range),np.max(log_h_range),100)\n",
"plt.scatter(log_h_range,log_errors,label='data')\n",
"plt.plot(x,lm.intercept + lm.slope * x, 'r', label='fitted line')\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.xlabel('$\\log(h)$')\n",
"plt.ylabel('$\\log(W)$')\n",
"plt.title('Plot of $\\log(W)$ vs $\\log(h)$')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ca6937b4-34bc-49f3-8082-233d5333712d",
"metadata": {},
"source": [
"We can see from the above plot that the slope is around $1.42$ - this differs from our theory showing the results for the $\\max$ are out of the remit of our theory."
]
},
{
"cell_type": "markdown",
"id": "84e69b60-bf9a-45e9-ab57-ffeea2d5212e",
"metadata": {},
"source": [
"We now repeat the above for different levels of sensor noise."
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "434926f5-2387-4dae-978e-ce46b81aa3eb",
"metadata": {},
"outputs": [],
"source": [
"results = {}"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "35ed3e45-8776-4f55-a768-cb7ba2c74125",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
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" 27%|██▋ | 8/30 [00:00<00:02, 8.23it/s]\u001b[A\n",
" 30%|███ | 9/30 [00:01<00:02, 8.49it/s]\u001b[A\n",
" 33%|███▎ | 10/30 [00:01<00:02, 8.61it/s]\u001b[A\n",
" 37%|███▋ | 11/30 [00:01<00:02, 8.65it/s]\u001b[A\n",
" 40%|████ | 12/30 [00:01<00:02, 8.57it/s]\u001b[A\n",
" 43%|████▎ | 13/30 [00:01<00:02, 8.43it/s]\u001b[A\n",
" 47%|████▋ | 14/30 [00:01<00:01, 8.58it/s]\u001b[A\n",
" 50%|█████ | 15/30 [00:01<00:01, 8.60it/s]\u001b[A\n",
" 53%|█████▎ | 16/30 [00:01<00:01, 8.87it/s]\u001b[A\n",
" 57%|█████▋ | 17/30 [00:02<00:01, 9.12it/s]\u001b[A\n",
" 63%|██████▎ | 19/30 [00:02<00:01, 9.65it/s]\u001b[A\n",
" 67%|██████▋ | 20/30 [00:02<00:01, 9.67it/s]\u001b[A\n",
" 73%|███████▎ | 22/30 [00:02<00:00, 10.74it/s]\u001b[A\n",
" 80%|████████ | 24/30 [00:02<00:00, 10.45it/s]\u001b[A\n",
" 87%|████████▋ | 26/30 [00:02<00:00, 10.39it/s]\u001b[A\n",
" 93%|█████████▎| 28/30 [00:03<00:00, 10.33it/s]\u001b[A\n",
"100%|██████████| 30/30 [00:03<00:00, 9.32it/s]\u001b[A\n",
"Eps loop: 100%|██████████| 4/4 [05:42<00:00, 85.56s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 35.9 s, sys: 200 ms, total: 36.1 s\n",
"Wall time: 5min 42s\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"%%time\n",
"np.random.seed(345346)\n",
"tol = 1e-10\n",
"n_sim = 1000\n",
"for ϵ in tqdm(ϵ_list,desc='Eps loop'):\n",
" # generate sensor data\n",
" v_dat = gen_sensor(ϵ,m_f,k_f,Y,u_quad,grid,maxiter=400)\n",
" # get true B mat required for posterior\n",
" B_true = (ϵ**2)*np.eye(s) + C_true_s\n",
"\n",
" # set up true posterior mean\n",
" def true_mean(x):\n",
" return m_post(x,μ_true,c_u_vect,v_dat,Y,B_true)\n",
" \n",
" # set up true posterior covariance\n",
" def c_post_true(x,y):\n",
" return c_post(x,y,c_u,Y,B_true)\n",
" \n",
" u_sim = sample_gp(n_sim, true_mean, c_post_true, grid,True,False)\n",
" \n",
" max_true = u_sim.max(axis=0)\n",
" \n",
" errors = []\n",
" \n",
" for h in tqdm(h_range):\n",
" # sample trajectories from statFEM prior for current h value\n",
" sim = statFEM_posterior_sampler(n_sim, grid, h, f_bar, k_f, ϵ, Y, v_dat)\n",
" # get max\n",
" max_sim = sim.max(axis=0)\n",
" # compute error\n",
" error = wass(max_true,max_sim,n_bins)\n",
" # append to errors\n",
" errors.append(error)\n",
" \n",
" results[ϵ] = (errors,u_sim)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "695448dd-2123-43a5-9d2b-e6cc5aca9e9f",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot()\n",
"plt.grid()\n",
"plt.xlabel('$h$')\n",
"plt.ylabel('error')\n",
"plt.title('Plot of errors vs $h$ for different levels of sensor noise')\n",
"for ϵ in ϵ_list:\n",
" errors = results[ϵ][0]\n",
" plt.plot(h_range,errors, label = 'ϵ = ' + str(ϵ))\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "fa1c8192-01d2-4671-8cf6-797ff44c22b9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ϵ: 0.00010, slope: 2.1862, intercept: -2.3203\n",
"ϵ: 0.00050, slope: 1.9552, intercept: -3.0104\n",
"ϵ: 0.00100, slope: 1.6573, intercept: -3.7885\n",
"ϵ: 0.01000, slope: 1.3131, intercept: -3.2989\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#hide_input\n",
"plt.plot()\n",
"plt.grid()\n",
"plt.xlabel('$\\log(h)$')\n",
"plt.ylabel('$\\log(W)$')\n",
"plt.title('Plot of $\\log(W)$ vs $\\log(h)$ for different levels of sensor noise')\n",
"log_h_range = np.log(h_range)\n",
"for ϵ in ϵ_list:\n",
" errors = results[ϵ][0]\n",
" log_errors = np.log(errors)\n",
" lm = linregress(log_h_range,log_errors)\n",
" print('ϵ: %.5f, slope: %.4f, intercept: %.4f' % (ϵ, lm.slope,lm.intercept))\n",
" plt.scatter(log_h_range,log_errors)\n",
" plt.plot(x,lm.intercept + lm.slope * x, label='ϵ = ' +str(ϵ))\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d8f2fe2c-b28a-40b1-bcf3-66aaa0a24c76",
"metadata": {},
"source": [
"We can see from these results that for we obtain different results for the rates. In particular, we observe the rate increasing from $1.3$ when $\\epsilon=0.01$ up to around $2.2$ when $\\epsilon$ decreases to $0.0001$. Thus, for small values of sensor noise we obtain rates similar to the case of linear quantities of interest. This is potentially do to the fact that for small levels of sensor noise the posterior trajectories concentrate and so the maximum is almost always located at the maximum of the true prior mean. Thus, we come to the regime where taking the maximum is the same as point evaluation, which is a linear functional."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}