{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Standard Gaussian Hidden Markov Model\n", "This notebook covers the fundamental procedures for training and examining a Gaussian Hidden Markov Model (HMM). The model is designed for analyzing a single set of time series data, such as neuroimaging or electrophysiological recordings. If you need to model interactions between two sets of time series, you can look at [*Gaussian-Linear Hidden Markov Model*](./GLHMM_example.ipynb) provided in the toolbox.\n", "\n", "**Note:** Due to rendering issues when viewing this notebook through github, internal links, like the table of contents, may not work correctly. To ensure that the notebook renders correctly, you can view it through [this link](https://nbviewer.org/github/vidaurre/glhmm/blob/main/docs/notebooks/GaussianHMM_example.ipynb).\n", "\n", "Authors: Christine Ahrends " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Outline\n", "1. [Background](#background)\n", "2. [Example: Modelling time-varying amplitude and functional connectivity in fMRI recordings](#example-modelling)\n", " * [Preparation](#preparation)\n", " * [Load data](#load-data)\n", " * [Initialise and train an HMM](#initialise-hmm)\n", " * [Inspect model](#inspect-model)\n", " * [State means: Time-varying amplitude patterns](#state-means)\n", " * [State covariances: Time-varying functional connectivity](#state-covariances)\n", " * [Transition probabilities](#transition-probabilities)\n", " * [Viterbi path](#viterbi-path)\n", " * [Summary metrics](#summary-metrics)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background \n", "The HMM is a generative probabilistic model that assumes that an observed timeseries (e.g., neuroimaging or electrophysiological recordings) were generated by a sequence of hidden \"states\". In the Gaussian HMM, we model states as Gaussian distributions, so we assume that the observations *Y* at time point *t* were generated by a Gaussian distribution with parameters $\\mu$ and $\\Sigma$ when state *k* is active, i.e.:\n", "$$Y_t\\sim N(\\mu^k,\\Sigma^k)$$\n", "\n", "Additionally, the HMM estimates the probabilities $\\theta$ of transitioning between each pair of states, i.e., the probability that the currently active state at time point *t* is *k* given that the state at the previous timepoint *t-1* was *l*:\n", "$$P(s_t=k|s_{t-1}=l) = \\theta_{k,l}$$\n", "\n", "And the probability $\\pi$ that a segment of the timeseries starts with state *k*:\n", "$$P(s_0=k)=\\pi_k$$\n", "\n", "When we fit the model to the observations, we aim to estimate the parameters of the prior distributions for these parameters ($\\mu$, $\\Sigma$, $\\theta$, and $\\pi$) using variational inference. \n", "\n", "We define the posterior estimates as \n", "$$\\gamma_{t,k}:=P(s_t=k|s_{>t},s_{t},s_{\n", "We will now go through an example illustrating how to fit and inspect a standard Gaussian HMM. The example uses simulated data that can be found in the `example_data` folder. The data were generated to resemble fMRI timeseries, and our goal is to estimate time-varying amplitude and functional connectivity (FC) for a group of subjects. Imagine that the data were recorded from 20 different subjects. Each subject has been recorded for 1,000 timepoints and their timeseries were extracted in a parcellation with 50 brain regions. The data *Y* here thus has dimensions ((20 subjects * 1000 timepoints), 50 brain regions). We use the *indices* array to specify where in the timeseries each of the 20 subjects' session starts and ends." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Preparation \n", "If you dont have the **GLHMM-package** installed, then run the following command in your terminal:\n", "\n", "```pip install glhmm```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Import libraries**\\\n", "Let's start by importing the required libraries and modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sb\n", "from glhmm import glhmm, preproc, utils, graphics" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Load and prepare data \n", "Example data for this tutorial are available for download from the OSF. This notebook will fetch the relevant data from the OSF project page using the osfclient package. If you prefer, you can also directly download the files from the [OSF project page](https://osf.io/8qcyj/?view_only=119c38072a724e0091db5ba377935666) and skip the next two cells. " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# checks if osfclient is installed and otherwise installs it using pip install\n", "# skip this if you have manually downloaded the data\n", "import sys\n", "import pip\n", "\n", "def install(package):\n", " pip.main(['install', package])\n", "\n", "try:\n", " import osfclient\n", "except ImportError:\n", " print('osfclient is not installed, installing it now')\n", " install('osfclient')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100%|██████████████████████████████████| 18.2M/18.2M [00:01<00:00, 13.8Mbytes/s]\n", "100%|███████████████████████████████████████| 218/218 [00:00<00:00, 502kbytes/s]\n" ] } ], "source": [ "! osf -p 8qcyj fetch GLHMM/data.csv ./example_data/data.csv\n", "! osf -p 8qcyj fetch GLHMM/T.csv ./example_data/T.csv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The standard HMM requires only one input: a timeseries `Y`. When running the model on a concatenated timeseries, e.g., a group of subjects or several scanning sessions, you also need to provide the `indices` indicating where each subject/session in the concatenated timeseries `Y` starts and ends.\n", "\n", "Input data for the glhmm should be in numpy format. Other data types, such as .csv, can be converted to numpy using e.g. pandas, as shown below. Alternatively, the `io` module provides useful functions to load input data in the required format, e.g., from existing .mat-files. If you need to create indices from session lengths (as used in the HMM-MAR toolbox) you can use the `auxiliary.make_indices_from_T` function. \n", "\n", "Synthetic data for this example should now be in the `glhmm/docs/notebooks/example_data` folder. The file `data.csv` contains synthetic timeseries. The data should have the shape ((no subjects/sessions * no timepoints), no features), meaning that all subjects and/or sessions have been concatenated along the first dimension. The second dimension is the number of features, e.g., the number of parcels or channels. The file `T.csv` specifies the indices in the concatenated timeseries corresponding to the beginning and end of individual subjects/sessions in the shape (no subjects, 2). In this case, we have generated timeseries for 20 subjects and 50 features. Each subject has 1,000 timepoints. The timeseries has the shape (20000, 50) and the indices have the shape (20, 2)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./example_data/data.csv', header=None).to_numpy()\n", "T_t = pd.read_csv('./example_data/T.csv', header=None).to_numpy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**NOTE: It is important to standardise your timeseries and, if necessary, apply other kinds of preprocessing before fitting the model.**\\\n", "Standardising will be done separately for each session/subject as specified in the indices. The data provided here are already close to standardised (so the code below will not do much). Other preprocessing steps may be filtering or dimensionality reduction, which may be reasonable depending on the data and model variety. The preprocessing function also outputs a log to keep track of which preprocessing has been performed that can be passed on to the glhmm object. This is required if you have performed preprocessing steps that require backtransforming (PCA/ICA)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data,_,log = preproc.preprocess_data(data, T_t)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Initialise and train an HMM \n", "We first initialise the glhmm object and specify hyperparameters. In the case of the standard Gaussian HMM, since we do not want to model an interaction between two sets of variables, we set `model_beta='no'`. The number of states is specified using the `K` parameter. We here estimate `K=4` states. If you want to model a different number of states, change K to a different value. In this example, we want to model states as Gaussian distributions with a mean and full covariance matrix, so that each state is described by a mean amplitude and functional connectivity pattern. To do this, specify `covtype='full'`, the state-specific mean is already set by default. If you do not want to model the mean, add `model_mean='no'`. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "hmm = glhmm.glhmm(model_beta='no', K=4, covtype='full', preproclog=log)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optionally, you can check the hyperparameters (including the ones set by default) to make sure that they correspond to how you want the model to be set up." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'K': 4, 'covtype': 'full', 'model_mean': 'state', 'model_beta': 'no', 'dirichlet_diag': 10, 'connectivity': None, 'Pstructure': array([[ True, True, True, True],\n", " [ True, True, True, True],\n", " [ True, True, True, True],\n", " [ True, True, True, True]]), 'Pistructure': array([ True, True, True, True])}\n" ] } ], "source": [ "print(hmm.hyperparameters)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then train the HMM using the data and indices loaded above. Since we here do not model an interaction between two sets of timeseries but run a standard HMM instead, we set `X=None`. `Y` should be the timeseries in which we want to estimate states (in here called `data`) and indices should be the beginning and end indices of each subject (here called `T_t`). During training, the output will usually show the progress in model fit at each iteration. This can be quite long, so we have here suppressed it for displaying purposes. You can remove the first line (`%%capture`) to show it." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "np.random.seed(123)\n", "hmm.train(X=None, Y=data, indices=T_t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optionally, you can also return `Gamma` (the state probabilities at each timepoint), `Xi` (the joint probabilities of past and future states conditioned on the data) and `FE` (the free energy of each iteration) at this step, but it is also possible to retrieve them later using the `decode` function for Gamma and Xi and the `get_fe` function for the free energy. " ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "np.random.seed(123)\n", "Gamma,Xi,FE = hmm.train(X=None, Y=data, indices=T_t)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Inspect model \n", "We can then inspect some interesting aspects of the model. We start by checking what the states look like by interrogating the state means and the state covariances. We will then look at the dynamics, i.e., how states transition between each other (transition probabilities) and how the state sequence develops over time (the Viterbi path). Finally, we will have a look at some summary metrics that can be useful to describe the overall patterns or to relate the model to behaviour using [statistical testing](./Testing_across_sessions_within_subject.ipynb) or [machine learning/out-of-sample prediction](./Prediction_tutorial.ipynb). \n", "> We here show some simple result plots. For more plotting options, see the [Graphics](../../glhmm/graphics.py) module" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "#### State means: Time-varying amplitude patterns \n", "The state means can be interpreted as time-varying patterns of amplitude (relative to the baseline). They can be retrieved from the model using the `get_means()` function, or `get_mean(k)` to retrieve only the mean for state `k`:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "K = hmm.hyperparameters[\"K\"] # the number of states\n", "q = data.shape[1] # the number of parcels/channels\n", "state_means = np.zeros(shape=(q, K))\n", "state_means = hmm.get_means() # the state means in the shape (no. features, no. states)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then plot these amplitude patterns. This will show the states on the x-axis, each parcel/brain region/channel on the y-axis, and the mean activation of each parcel in each state as the color intensity." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmap = \"coolwarm\"\n", "plt.imshow(state_means, cmap=cmap,interpolation=\"none\")\n", "plt.colorbar(label='Activation Level') # Label for color bar\n", "plt.title(\"State mean activation\")\n", "plt.xticks(np.arange(K), np.arange(1,K+1))\n", "plt.gca().set_xlabel('State')\n", "plt.gca().set_ylabel('Brain region')\n", "plt.tight_layout() # Adjust layout for better spacing\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "#### State covariances: Time-varying functional connectivity \n", "The state covariances represent the time-varying functional connectivity patterns that we have estimated in the fMRI recordings. They can be obtained from the model using the `get_covariance_matrix` function:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "state_FC = np.zeros(shape=(q, q, K))\n", "for k in range(K):\n", " state_FC[:,:,k] = hmm.get_covariance_matrix(k=k) # the state covariance matrices in the shape (no. features, no. features, no. states)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then plot the covariance (i.e., functional connectivity) of each state. These are square matrices showing the brain region by brain region functional connectivity patterns:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for k in range(K):\n", " plt.subplot(2,2,k+1)\n", " plt.imshow(state_FC[:,:,k],cmap=cmap)\n", " plt.xlabel('Brain region')\n", " plt.ylabel('Brain region')\n", " plt.colorbar()\n", " plt.title(\"State covariance\\nstate #%s\" % (k+1))\n", "plt.subplots_adjust(hspace=0.7, wspace=0.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Transition probabilities \n", "The transition probabilities indicate the temporal order in the state sequence, i.e., the probability of transitioning from any one state to any other state. They are contained in `hmm.P` with a shape of [K, K]:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "TP = hmm.P.copy() # the transition probability matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then plot the transition probability matrix. Note that self-transitions (i.e., staying in the same state) are considerably more likely in a timeseries that has some order, so there should be a strong diagonal pattern. For comparison, we also show the transition probabilities excluding self-transitions:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot Transition Probabilities\n", "plt.figure(figsize=(7, 4))\n", "\n", "# Plot 1: Original Transition Probabilities\n", "plt.subplot(1, 2, 1)\n", "plt.imshow(TP, cmap=cmap, interpolation='nearest') # Improved color mapping\n", "plt.title('Transition Probabilities')\n", "plt.xlabel('To State')\n", "plt.ylabel('From State')\n", "plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", "# Plot 2: Transition Probabilities without Self-Transitions\n", "TP_noself = TP - np.diag(np.diag(TP)) # Remove self-transitions\n", "TP_noself2 = TP_noself / TP_noself.sum(axis=1, keepdims=True) # Normalize probabilities\n", "plt.subplot(1, 2, 2)\n", "plt.imshow(TP_noself2, cmap=cmap, interpolation='nearest') # Improved color mapping\n", "plt.title('Transition Probabilities\\nwithout Self-Transitions')\n", "plt.xlabel('To State')\n", "plt.ylabel('From State')\n", "plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", "plt.tight_layout() # Adjust layout for better spacing\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Viterbi path \n", "The Viterbi path is a discrete representation of the state timecourse, indicating which state is active at which timepoint. We may be able to see whether some states tend to occur more for certain subjects, or are related to a stimulus that occurs at specific timepoints. The Viterbi path can also be informative to understand whether the HMM is \"mixing\", i.e., states occur across subjects, or whether the model estimates the entire session of one subject as one state (see [Ahrends et al. 2022](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9361391/)).\n", "You can retrieve the Viterbi path using the `decode` function and setting `viterbi=True`:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "vpath = hmm.decode(X=None, Y=data, indices=T_t, viterbi=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the Viterbi path (see also `graphics` module):" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphics.plot_vpath(vpath, title=\"Viterbi path\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also visualize the Viterbi path for the first subject from timepoints 0-1000" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_subject = 0\n", "graphics.plot_vpath(vpath[T_t[num_subject,0]:T_t[num_subject,1],:], title=\"Viterbi path\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the Viterbi path indicates that the states show fast dynamics across all subjects (concatenated along the y-axis)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Summary metrics \n", "Once we have estimated the model parameters, we can compute some summary metrics to describe the patterns we see more broadly. These summary metrics can be useful to relate patterns in the timeseries to behaviour, using e.g., statistical testing (see [Statistical testing tutorial](./1_across_subjects_test.ipynb)) or machine learning (see [Prediction tutorial](./Prediction_tutorial.ipynb)). The module `utils` provides useful functions to obtain these summary metrics.\n", "\n", "The *fractional occupancy (FO)* indicates the fraction of time in each session that is occupied by each state. For instance, if one state was active for the entire duration of the session, this state's FO would be 1 (100%) and all others would be 0. If, on the other hand, all states are present for an equal amount of timepoints in total, the FO of all states would be 1/*K* (the number of states). This can be informative to understand whether one state is more present in a certain group of subjects or experimental condition, or to interrogate mixing (explained above).\n", "\n", "You can obtain the fractional occupancies using the `get_FO` function. The output is an array containing the FO of each subject along the first dimension and each state along the second dimension. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "FO = utils.get_FO(Gamma, indices=T_t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the Fractional Occupancies (see also `graphics` module):" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphics.plot_FO(FO, num_ticks=FO.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The switching rate indicates how quickly subjects switch between states (as opposed to stay in the same state)." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "SR = utils.get_switching_rate(Gamma, T_t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the switching rate (see also `graphics` module):" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphics.plot_switching_rates(SR, num_ticks=SR.shape[0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The state lifetimes (also called *dwell times*) indicate how long a state is active at a time (either on average, median, or maximum). This can be informative to understand whether states tend to last longer or shorter times, pointing towards slower vs. faster dynamics:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "LTmean, LTmed, LTmax = utils.get_life_times(vpath, T_t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will plot the mean the state lifetime (see also `graphics` module):" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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