{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "15bb94b3-1e30-4b1e-949d-75ed8256a42f",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"id": "61921132",
"metadata": {},
"source": [
"#### Maximum likelihood estimation\n",
"\n",
"Maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed data. This is achieved by maximizing a likelihood function so that, under the assumed statistical model, the observed data is most probable. The point in the parameter space that maximizes the likelihood function is called the maximum likelihood estimate. The logic of maximum likelihood is both intuitive and flexible, and as such the method has become a dominant means of statistical inference.\n",
"\n",
"If the likelihood function is differentiable, the derivative test for finding maxima can be applied. In some cases, the first-order conditions of the likelihood function can be solved analytically; for instance, the ordinary least squares estimator for a linear regression model maximizes the likelihood when the random errors are assumed to have normal distributions with the same variance."
]
},
{
"cell_type": "markdown",
"id": "c2e23cc2",
"metadata": {},
"source": [
"As a very simple MLE example, consider the following experiment:\n",
"\n",
"I have a bag that contains 3 balls. Each ball is either red or blue, but I have no information in addition to this. Thus, the number of blue balls, call it $\\theta$, might be 0, 1, 2 or 3. I am allowed to choose 4 balls at random from the bag *with replacement*. We define the random variables $X_1$, $X_2$, $X_3$ and $X_4$ as follows\n",
"\n",
"$X_i$ = 1 if $i$th chosen ball is blue or $X_i$ = 0 is the $i$th chosen ball is red\n",
"\n",
"thus, $X_i \\sim$ Bernoulli($\\theta$/3), where Bernoulli is a discrete probability distribution wherein the random variable can only have 2 possible outcomes. \n",
"\n",
"After doing the experiment, the following values for $X_i$ are observed:\n",
"\n",
"$x_1$=1, $x_2$=0, $x_3$=1, $x_4$=1\n",
"\n",
"i.e. we found 3 blue balls and 1 red ball. Our goal is for each possible value of $\\theta$ (the number of blue balls), find the probability of the observed sample, ($x_1$, $x_2$, $x_3$, $x_4$)=(1,0,1,1)\n",
"\n",
"The probability of $x_i$ is \n",
"\n",
"$P_{X_i} = \\theta/3$ for $x$=1 or $(1-\\theta/3)$ for $x$=0\n",
"\n",
"so the joint PMF is\n",
"\n",
"$P_{X_1 X_2 X_3 X_4}(x_1,x_2,x_3,x_4) = P_{X_1}(x_1)P_{X_2}(x_2)P_{X_3}(x_3)P_{X_4}(x_4)$\n",
"\n",
"therefore, \n",
"\n",
"$P_{X_1 X_2 X_3 X_4}(1,0,1,1) = (\\theta/3)^3(1-\\theta/3)$\n",
"\n",
"which maps as:\n",
"\n",
"$\\theta$ ``` ```$P_{X_1 X_2 X_3 X_4}(1,0,1,1;\\theta)$\n",
"```\n",
" 0 0\n",
" 1 0.0247\n",
" 2 0.0988\n",
" 3 0\n",
" ```\n",
"Note that $\\theta$ = 0 or 3 are impossible. So the highest probability is $\\theta$=2, this is call the maximum likelihood estimate of $\\theta$."
]
},
{
"cell_type": "markdown",
"id": "dec581a4",
"metadata": {},
"source": [
"\n",
"---\n",
"\n",
"Suppose that the lifetime of a lightbulb is modeled by an exponential distribution with (unknown) parameter $\\lambda$. We test 5 bulbs and find they have life times of 2, 3, 1, 3 and 4 years, respectively. What is the MLE for $\\lambda$?\n",
"\n",
"Notation is important here. With five different values it is best to use subscripts. Let $X_j$ be the lifetime of the $i$th bulb and let $x_i$ be the value $X_i$ takes. Then each $X_i$ has pdf $f_{X_i}(x_i) = \\lambda e^{-\\lambda x_i}$. We assume the lifetimes of the bulbs are independent, so the joint pdf is the produce of the individual densities:\n",
"\n",
"$$ f(x_1,x_2,x_3,x_4,x_5|\\lambda) = (\\lambda e^{-\\lambda x_1})(\\lambda e^{-\\lambda x_2})(\\lambda e^{-\\lambda x_3})(\\lambda e^{-\\lambda x_4})(\\lambda e^{-\\lambda x_5}) \n",
"= \\lambda^5 e^{-\\lambda(x_1+x_2+x_3+x_4+x_5)} $$\n",
"\n",
"Note this is a conditional density, since it depends on $\\lambda$. Viewing the data as fixed and $\\lambda$ as variable, this density is the likeihodd function. Our data has values\n",
"\n",
"$$ x_1 = 2, x_2 = 3, x_3 = 1, x_4 = 3, x_5 = 4 $$\n",
"\n",
"So the likeihood and log likeihood functions are\n",
"\n",
"$$ f(2,3,1,3,4|\\lambda) = \\lambda^5 e^{-13\\lambda} $$\n",
"$$ ln(f(2,3,1,3,4|\\lambda)) = 5 ln (\\lambda) - 13 \\lambda $$ \n",
"\n",
"Finally, to find the MLE, we take the derivative and set it to zero, such that\n",
"\n",
"$$ {d \\over d\\lambda}({\\rm log\\, likeihood}) = 5/\\lambda - 13 = 0 \\rightarrow \\lambda=5/13 $$\n",
"\n",
"therefore, the typical half-life is 1/$\\lambda$ = 2.6 years, or the same as the mean of the lifetimes."
]
},
{
"cell_type": "markdown",
"id": "738a6fc2",
"metadata": {},
"source": [
"When you approach a new problem, the first step is generally to write down the likelihood function (the probability of a dataset given the model parameters). This is equivalent to describing the generative procedure for the data. In this case, we’re going to consider a linear model where the quoted uncertainties are underestimated by a constant fractional amount. You can generate a synthetic dataset from this model:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9f379bcd",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
" This figure shows the least-squares estimate of the line parameters as a dashed line.\n",
"This isn’t an unreasonable result but the uncertainties on the slope and\n",
"intercept seem a little small (because of the small error bars on most of the\n",
"data points). The least squares solution found in the previous section is the maximum\n",
"likelihood result for a model where the error bars are assumed correct,\n",
"Gaussian and independent.\n",
"We know, of course, that this isn’t the right model.\n",
"Unfortunately, there isn’t a generalization of least squares that supports a\n",
"model like the one that we know to be true.\n",
"Instead, we need to write down the likelihood function and numerically\n",
"optimize it.\n",
"In mathematical notation, the correct likelihood function is: where This likelihood function is simply a Gaussian where the variance is\n",
"underestimated by some fractional amount: \\(f\\).\n",
" \n",
"In Python, you would code this up as:
We have already, in the previous section, written down the likelihood function
\n", "so the missing component is the “prior” function
\n", "This function encodes any previous knowledge that we have about the\n", "parameters: results from other experiments, physically acceptable ranges, etc.\n", "It is necessary that you write down priors if you’re going to use MCMC because\n", "all that MCMC does is draw samples from a probability distribution and you\n", "want that to be a probability distribution for your parameters.\n", "This is important: you cannot draw parameter samples from your likelihood\n", "function.\n", "This is because a likelihood function is a probability distribution over\n", "datasets so, conditioned on model parameters, you can draw representative\n", "datasets (as demonstrated at the beginning of this exercise) but you cannot\n", "draw parameter samples.
\n", "\n", "In this example, we’ll use uniform (so-called “uninformative”) priors on \\(m\\),\n", "\\(b\\) and the logarithm of \\(f\\).\n", "For example, we’ll use the following conservative prior on \\(m\\):\n", "\n", "In code, the log-prior is (up to a constant):
" ] }, { "cell_type": "code", "execution_count": 8, "id": "20f8759d", "metadata": {}, "outputs": [], "source": [ "def log_prior(theta):\n", " m, b, log_f = theta\n", " if -5.0 < m < 0.5 and 0.0 < b < 10.0 and -10.0 < log_f < 1.0:\n", " return 0.0\n", " return -np.inf" ] }, { "cell_type": "markdown", "id": "dabca7e1", "metadata": {}, "source": [ "Then, combining this with the definition of log_likelihood from above, the full log-probability function is:" ] }, { "cell_type": "code", "execution_count": 9, "id": "aaa3ffe0", "metadata": {}, "outputs": [], "source": [ "def log_probability(theta, x, y, yerr):\n", " lp = log_prior(theta)\n", " if not np.isfinite(lp):\n", " return -np.inf\n", " return lp + log_likelihood(theta, x, y, yerr)" ] }, { "cell_type": "markdown", "id": "12019de2", "metadata": {}, "source": [ "After all this setup, it’s easy to sample this distribution using emcee. We’ll start by initializing the walkers in a tiny Gaussian ball around the maximum likelihood result (I’ve found that this tends to be a pretty good initialization in most cases) and then run 5,000 steps of MCMC." ] }, { "cell_type": "code", "execution_count": 10, "id": "2d1a43f9", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "You must install the tqdm library to use progress indicators with emcee\n" ] } ], "source": [ "import emcee\n", "\n", "pos = soln.x + 1e-4 * np.random.randn(32, 3)\n", "nwalkers, ndim = pos.shape\n", "\n", "sampler = emcee.EnsembleSampler(\n", " nwalkers, ndim, log_probability, args=(x, y, yerr)\n", ")\n", "sampler.run_mcmc(pos, 5000, progress=True);" ] }, { "cell_type": "markdown", "id": "3158a836", "metadata": {}, "source": [ "Let’s take a look at what the sampler has done. A good first step is to look at the time series of the parameters in the chain. The samples can be accessed using the EnsembleSampler.get_chain() method. This will return an array with the shape (5000, 32, 3) giving the parameter values for each walker at each step in the chain. The figure below shows the positions of each walker as a function of the number of steps in the chain:" ] }, { "cell_type": "code", "execution_count": 11, "id": "676e44a3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "There are several methods for performing such a classification. Particle accelerator experiments like the LHC provide a lot of information about each event, and these experiments often write complicated algorithms to directly label each type of event as belonging to a certain class.\n", "Bolometer experiments like Cuore, which provide only information about the total energy of an event, and optical neutrino detectors like SNO+, which provide information about the position, energy, and perhaps direction of an event, often have to rely on statistical methods.\n", "This is largely due to the fact that the data collected is not sufficient to uniquely classify every even.\n", "For example, even if a signal occurs in a specific energy range, like $0\\nu\\beta\\beta$, backgrounds, such as radioactive decay, can have very similar energies and be much more common.\n", "Detector energy resolutions complicate matters further by smearing out the measured energies relative to the true energies.
\n", "These statistical methods don’t directly classify any particular event, but can still give a high precision answer to the overall content of a large dataset.\n", "This is possible because events of different types tend to have different distributions.\n", "For instance, radioactive backgrounds will occur more frequently near areas higher in radioactivity, while solar neutrino interactions would tend to be uniformly distributed in a detector.\n", "Similarly signals like $0\\nu\\beta\\beta$ will occur at discrete energies, while a background like $2\\nu\\beta\\beta$ will have a wide distribution of energies with a known shape.\n", "As long as one accounts for all possible types of events present in a dataset and can reliably know how these events should be distributed as a function of some parameters, one can statistically extract the makeup of a dataset.\n", "The one caveat is that event classes have to look sufficiently different as a function of the parameters chosen.
\n", "Fully accounting for all possible event classes present in a dataset is no small task, and indeed this is one of the largest difficulties of any statistical analysis of this style.\n", "Choosing parameters is another difficulty.\n", "Energy is an obvious choice, since physical interactions typically have characteristic energy distributions, but this may not be sufficient to well-separate all event classes.\n", "The final big hurdle is knowing how the different event classes are distributed as a function of your chosen parameters.\n", "To do this, one must typically generate a fully calibrated simulation model where physical interactions can be simulated independently to generate a probability distribution function as a function of the chosen parameters for each class of events.
\n", "" ] }, { "cell_type": "markdown", "id": "4d560d4b-fb9f-4ed6-9829-80b7eb588f83", "metadata": {}, "source": [ "
This will be a one dimensional analysis, i.e. one parameter will be used to distinguish event classes.\n", "More dimensions will likely enhance the ability to distinguish events, but higher dimensions require more simulated data, more processing time, and more complicated code.\n", "Higher dimensions use the same basic framework though, hence a one dimensional example is a good starting point.\n", "Now choose and region of interest (ROI) for this analysis on the chosen dimension.\n", "We’ll be working with totally made-up events as you see, but let’s assume they’re distributed in the low tens of mega electronvolts.
\n", "Now create a Monte-Carlo (MC) simulation model for two classes of events.\n", "Reality here is much more complicated, but for the purposes of this demonstration, assume:
\n", "Note that these distributions overlap significantly, and particularly for events in the 10-15 MeV range, it would be impossible on an event-by-event basis to distinguish the two classes.\n", "To make this more obvious, generate a fake sample of data with 100 class A and 200 class B events.\n", "This is a stand in for real data, and testing an analysis with artificially constructed datasets is an important step in any real analysis.
" ] }, { "cell_type": "code", "execution_count": 24, "id": "b7e53957", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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