"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "fig, ax = plt.subplots(ncols=n_populations, sharex=True, sharey=True, figsize=(16,6))\n",
- "samples = result_smc.samples_history + [result_smc.samples_list]\n",
- "for ii in range(n_populations):\n",
- " s = samples[ii]\n",
- " ax[ii].scatter(s[0], s[1], s=1, edgecolor='none');\n",
- " ax[ii].set_title(\"Population {}\".format(ii));\n",
- "ax[0].set_xlabel(result_smc.names_list[0]);\n",
- "ax[0].set_ylabel(result_smc.names_list[1]);"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "It can be seen that the populations iteratively concentrate more and more around the true parameter values.\n",
- "\n",
- "Note that for the later populations some of the samples lie outside allowed region. This is due to the SMC algorithm sampling near previous samples, with *near* meaning a Gaussian distribution centered around previous samples with variance as twice the weighted empirical variance. However, the outliers carry zero weight, as was defined in the prior pdfs."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Bayesian Optimization for Likelihood-Free Inference (BOLFI)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "In practice inference problems often have a more complicated and computationally heavy simulator than the function `MA2` here, and one simply cannot run it for millions of times. The [BOLFI](http://jmlr.csail.mit.edu/papers/v17/15-017.html) framework is likely to prove useful in such situation: a statistical model (e.g. [Gaussian process](https://en.wikipedia.org/wiki/Gaussian_process)) is created for the discrepancy, and its minimum is inferred with [Bayesian optimization](https://en.wikipedia.org/wiki/Bayesian_optimization). This approach typically reduces the number of required simulator calls by several orders of magnitude.\n",
- "\n",
- "As BOLFI is more advanced inference method, its interface is also a bit more involved. But not much: Using the same graphical model as earlier, the inference begins by defining a Gaussian process model, for which we use the [GPy](https://sheffieldml.github.io/GPy/) library. We are inferring 2 parameters with the same bounds as earlier, and we have to give these conditions to the surrogate model i.e. the Gaussian process."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 28,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "gp_model = elfi.GPyModel(input_dim=2, bounds=((-3,3), (-3,3)))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 29,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# redefine the model\n",
- "elfi.env.new_inference_task()\n",
- "t1 = elfi.Prior('t1', scipy.stats.uniform, 0, 2)\n",
- "t2 = elfi.Prior('t2', 'uniform', 0, 2)\n",
- "Y = elfi.Simulator('MA2', MA2, t1, t2, observed=y)\n",
- "S1 = elfi.Summary('S1', autocov, Y)\n",
- "S2 = elfi.Summary('S2', autocov2, Y)\n",
- "d = elfi.Discrepancy('d', distance, S1, S2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Taking a logarithm of the discrepancies reduces the effect that high discrepancies have on the GP."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 30,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "log_distance = lambda s1,s2: np.log(distance(s1, s2))\n",
- "d = d.change_to(elfi.Discrepancy('log_d', log_distance, S1, S2), transfer_parents=True)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Having defined the surrogate model, we can instantiate the BOLFI framework object in a somewhat similar way as earlier, except that we now additionally define the surrogate model and the number of samples to take from it (this is the number of simulator calls): "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 31,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "bolfi = elfi.BOLFI(d, [t1, t2], batch_size=5, n_surrogate_samples=150, model=gp_model)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The BOLFI class can now try to `infer` the posterior distribution of the parameters:\n",
- "\n",
- "TODO: include the following in Result_BOLFI"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 32,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- "elfi.methods - INFO - BOLFI: Sampling 150 samples in batches of 5\n",
- "elfi.posteriors - INFO - Using minimum value of discrepancy estimate mean (-0.8896) as threshold\n"
- ]
- }
- ],
- "source": [
- "post = bolfi.infer()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 33,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- "\n",
- "Model: GP regression
\n",
- "Objective: 134.47558163407354
\n",
- "Number of Parameters: 3
\n",
- "Number of Optimization Parameters: 3
\n",
- "Updates: True
\n",
- "
\n",
- "\n",
- " GP_regression. | value | constraints | priors |
\n",
- " rbf.variance | 1.21635590808 | +ve | Ga(0.01, 0.01) |
\n",
- " rbf.lengthscale | 1.00508506697 | +ve | Ga(0.01, 0.01) |
\n",
- " Gaussian_noise.variance | 0.179038184592 | +ve | Ga(0.01, 0.01) |
\n",
- "
"
- ],
- "text/plain": [
- ""
- ]
- },
- "execution_count": 33,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "gp_model.gp"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can get estimates for *maximum a posteriori* and *maximum likelihood* easily:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 34,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(array([ 0.54829442, 0.13704808]), array([ 0.55372487, 0.14196298]))"
- ]
- },
- "execution_count": 34,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "post.MAP, post.ML"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Discrepancies for samples:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 35,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAABSgAAAIeCAYAAAC4FeG2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAKCa/w9XMbFP6Vu+rAAAAABJRU5ErkJggg==\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "fig, ax = plt.subplots(ncols=2, figsize=(16,6), sharey=True)\n",
- "ax[0].scatter(bolfi.model.gp.X[:,0], bolfi.model.gp.Y[:,0]);\n",
- "ax[1].scatter(bolfi.model.gp.X[:,1], bolfi.model.gp.Y[:,0]);\n",
- "ax[0].set_ylabel('Discrepancy');\n",
- "ax[0].set_xlabel('t1');\n",
- "ax[1].set_xlabel('t2');"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can also plot the Gaussian process using GPy:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 36,
- "metadata": {
- "collapsed": false,
- "scrolled": false
- },
- "outputs": [
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- " /Users/vuolleh2/anaconda/lib/python3.5/site-packages/matplotlib/figure.py:1742: UserWarning:This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n"
- ]
- },
- {
- "data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAGGCAYAAACNCg6xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQRAEQRBc+l+6H7werfBhDQAAAABJRU5ErkJggg==\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "bolfi.model.gp.plot();"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "... or we can visualize the posterior directly:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 37,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAFqCAYAAACQ6smRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAWy87Bb+k5QYAAAAAElFTkSuQmCC\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "x, y = np.meshgrid(np.linspace(*bolfi.model.bounds[0]), np.linspace(*bolfi.model.bounds[1]))\n",
- "z = np.empty_like(x)\n",
- "for ii in range(len(x)):\n",
- " for jj in range(len(x)):\n",
- " z[ii, jj] = post.pdf(np.array([x[ii, jj], y[ii, jj]]))\n",
- "plt.contour(x, y, z);"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Saving samples for later use"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "#### This section is still under construction!"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Saving performed computations is often a good idea, especially if the simulator is expensive to call. ELFI supports persistence of results in multiple formats. The user simply has to define this with the `store` keyword argument, which can be given to all nodes in the graphical model upon instantiation.\n",
- "\n",
- "To cache the prior `t1` in memory (affects only `t1`):"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 38,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# t1 already exists\n",
- "elfi.env.new_inference_task()\n",
- "t1 = elfi.Prior('t1', 'uniform', 0, 1, store=\"cache\")"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "To store directly in a Numpy array:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 39,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "max_samples = 10000000\n",
- "t1_array = np.empty((max_samples, 1)) # make sure you allocate enough memory\n",
- "elfi.env.new_inference_task()\n",
- "t1 = elfi.Prior('t1', 'uniform', 0, 1, store=t1_array)\n",
- "\n",
- "# Save in binary Numpy format:\n",
- "# np.save('t1.npy', t1_array)\n",
- "\n",
- "# Save in ascii csv format:\n",
- "# np.savetxt('t1.csv', t1_array, delimiter=', ')\n",
- "\n",
- "# Save in HDF5 format:\n",
- "# import h5py\n",
- "# h5file = h5py.File('ma2.hdf', 'w')\n",
- "# h5file.create_dataset('t1', data=t1_array)\n",
- "# h5file.close()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "A NoSQL database is also supported, in which case the results are saved to collection matching node name. __Note__ that the optional `unqlite` [Python package](https://pypi.python.org/pypi/unqlite/0.6.0) is required."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 40,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "nosql_store = elfi.UnQLiteStore() # accepts filename to save to disk\n",
- "elfi.env.new_inference_task()\n",
- "Y = elfi.Simulator('MA2', MA2, t1, t2, observed=y, store=nosql_store)\n",
- "\n",
- "# afterwards get data:\n",
- "# Y_array = nosql_store.get('Y', slice(0,1000))"
- ]
- }
- ],
- "metadata": {
- "anaconda-cloud": {},
- "kernelspec": {
- "display_name": "Python [default]",
- "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": "3.5.2"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}
diff --git a/ELFI_tutorial_external.ipynb b/ELFI_tutorial_external.ipynb
deleted file mode 100644
index 0486562..0000000
--- a/ELFI_tutorial_external.ipynb
+++ /dev/null
@@ -1,422 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "import sys\n",
- "# Assuming we are in the notebook directory add this so that we can import the library\n",
- "sys.path.append('..')\n",
- "\n",
- "import numpy as np\n",
- "from functools import partial\n",
- "import matplotlib\n",
- "import matplotlib.pyplot as plt\n",
- "\n",
- "import elfi\n",
- "\n",
- "matplotlib.style.use('ggplot')\n",
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Using external operations with ELFI"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "If your simulator or other operations are implemented in a programming language other than Python, you can still use ELFI. This notebook briefly demonstrates how to do this in 3 common requirements:\n",
- "\n",
- "* External executable (written e.g. in C++)\n",
- "* R function\n",
- "* MATLAB function\n",
- "\n",
- "**Note** that to run this notebook you need to compile the simulator, have both R and MATLAB installed, and install the appropriate wrapper libraries (see below)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## External executables"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "ELFI supports using an external simulator and other operations that can be called from the command-line. This functionality is briefly introduced in this notebook. For a more concrete tutorial on ELFI and the MA2 model, please see the MA2 tutorial notebook."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's start by defining some constants:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "n_obs = 100\n",
- "t1_0 = 0.6\n",
- "t2_0 = 0.2\n",
- "random_state = np.random.RandomState(20161130)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now we can set up a simulator as a **precompiled** executable that accepts command-line arguments. The placeholders for arguments in the command string will be replaced by ELFI using Python's [`format`](https://docs.python.org/3/library/string.html#formatstrings). If the simulator accepts a seed for random number generation, please use the name `seed`. In this case the number of observations, `n_obs`, is the last argument for the executable, but we set it already here using `partial`, so we give it the index 0."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "# Set up the simulator (assume current dir is elfi/notebooks and ma2.bin compiled)\n",
- "command = \"../examples/cpp/ma2/ma2.bin {1} {2} {seed} {0}\"\n",
- "simulator = partial(elfi.Wrapper(command), n_obs)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now the simulator can be run inside the Python interface. By default its output is read from `stdout` as a space-limited array that is converted into a numpy array."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false,
- "scrolled": false
- },
- "outputs": [
- {
- "data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqwAAAFqCAYAAADfmwgEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1K6/5IFyswUAAAAASUVORK5CYII=\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Set up observed data y\n",
- "y_obs = simulator(t1_0, t2_0, random_state=random_state)\n",
- "\n",
- "# Plot\n",
- "plt.figure(figsize=(8, 4));\n",
- "plt.plot(y_obs.ravel());"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Custom parsers for both preprocessing and postprocessing may be given when initializing the `Wrapper`. For example, you could use the Numpy functions `savetxt` and `genfromtxt` if your simulator reads input from a file and writes its output to another:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def preproc_parser(command, args, kwargs):\n",
- " np.savetxt('my_input.dat', np.array(args))\n",
- " return command, proc_args, kwargs\n",
- " \n",
- "def postproc_parser(_):\n",
- " return np.genfromtxt('my_output.dat')\n",
- "\n",
- "# You could then give these when defining your simulator:\n",
- "# my_simulator = elfi.Wrapper(my_command, pre=preproc_parser, post=postproc_parser)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Interfacing with R"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "It is possible to run R scripts in command line for example with [Rscript](http://stat.ethz.ch/R-manual/R-devel/library/utils/html/Rscript.html). However, in Python it may be more convenient to use [rpy2](http://rpy2.readthedocs.io), which allows convenient access to the functionality of R from within Python.\n",
- "\n",
- "Here we demonstrate how to calculate the summary statistics used in the MA2 tutorial (autocovariances with lags 1 and 2) using R's `acf` function."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "import rpy2.robjects as robj"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Some boilerplate is required, so let's create a Python function that wraps the R commands (please see the documentation of [rpy2](http://rpy2.readthedocs.io) for details):"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "def autocovR(x, lag):\n",
- " xR = robj.FloatVector(x.ravel()) # convert Numpy array to a vector in R\n",
- " acfR = robj.r['acf'] # get a reference to R's acf object\n",
- " ansR = acfR(xR, plot=False, type='covariance', lag_max=lag) # call R function with Python syntax\n",
- " ans = ansR.rx2('acf')[lag] # extract the requested value from the R object\n",
- " return np.atleast_2d(ans) # return as Numpy array"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Set up summary statistics just like earlier:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "ac1 = partial(autocovR, lag=1)\n",
- "ac2 = partial(autocovR, lag=2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Interfacing with MATLAB"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "There are a number of options for running MATLAB (or Octave) scripts from within Python. Here, evaluating the discrepancy is demonstrated with MATLAB's `norm` function using the [official API](http://www.mathworks.com/help/matlab/matlab-engine-for-python.html). (Tested with MATLAB 2016b.)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "import matlab.engine"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "A MATLAB session needs to be started (and stopped) separately:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "eng = matlab.engine.start_matlab() # takes a while..."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Similarly as with R, we have to write a piece of code to interface between MATLAB and Python:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "def distance(x, y):\n",
- " x = np.array(x) # convert a list of arrays to a single array\n",
- " y = np.array(y)\n",
- " xM = matlab.double((x-y).tolist()) # MATLAB array initialized with Python's list\n",
- " d = eng.norm(xM) # call MATLAB function, which returns a double\n",
- " return np.atleast_2d(d) # return as Numpy array"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Setting up the Inference Task"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now we can continue with the definition of the Inference Task as usual:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# Specify the graphical model\n",
- "t1 = elfi.Prior('t1', 'uniform', 0, 1)\n",
- "t2 = elfi.Prior('t2', 'uniform', 0, 1)\n",
- "Y = elfi.Simulator('MA2', simulator, t1, t2, observed=y_obs)\n",
- "S1 = elfi.Summary('S1', ac1, Y)\n",
- "S2 = elfi.Summary('S2', ac2, Y)\n",
- "d = elfi.Discrepancy('d', distance, S1, S2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "There are a couple of caveats in the wrapping operation. First, if the command-line operation does not accept vectorized arguments (like our simple `ma2.bin` here), one should run them sequentially. This can be accomplished by setting the `batch_size` to 1. Note that Dask may still run several operations in parallel.\n",
- "\n",
- "Second, the wrapping operation itself has a relatively significant overhead. As you will see, the inference in this notebook seems very slow as compared to the pure Python case.\n",
- "\n",
- "However, a typical use case of using an external operation is probably such that these overheads are insignificant in comparison with the run-time of the operation."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 13,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "n_samples = 100 # very small for demonstration purposes only!\n",
- "batch_size = 1 # forces sequential running mode\n",
- "rej = elfi.Rejection(d, [t1, t2], batch_size)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 14,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "CPU times: user 52.7 s, sys: 10.1 s, total: 1min 2s\n",
- "Wall time: 1min 1s\n"
- ]
- }
- ],
- "source": [
- "%time result = rej.sample(n_samples, quantile=0.1)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Finally, don't forget to quit the MATLAB session:"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 15,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "eng.quit()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "anaconda-cloud": {},
- "kernelspec": {
- "display_name": "Python [default]",
- "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": "3.5.2"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 1
-}
diff --git a/README.md b/README.md
index 3017349..b6a88fc 100644
--- a/README.md
+++ b/README.md
@@ -3,3 +3,8 @@
This repository contains tutorials and examples in the [Jupyter Notebook](http://jupyter.org) format. These should be maintained, so please let us know if something doesn't work with current release of ELFI.
Full documentation can be found at http://elfi.readthedocs.io/. Limited user-support may be asked from elfi-support.at.hiit.fi, but the [Gitter chat](https://gitter.im/HIIT/elfi?utm_source=share-link&utm_medium=link&utm_campaign=share-link) is preferable.
+
+## About running these notebooks
+
+These notebooks have been run with Python 3.5.3 using ELFI version 0.5.0.
+
diff --git a/resources/bdm.mat b/resources/bdm.mat
new file mode 100644
index 0000000..fdc2c39
Binary files /dev/null and b/resources/bdm.mat differ
diff --git a/resources/bdm.png b/resources/bdm.png
new file mode 100644
index 0000000..4ef3334
Binary files /dev/null and b/resources/bdm.png differ