Abstract

High-resolution functional imaging is providing increasingly rich measurements of brain activity in animals and humans. A major challenge is to leverage such data to gain insight into the brain's computational mechanisms. The first step is to define candidate brain-computational models (BCMs) that can perform the behavioural task in question. We would then like to infer which of the candidate BCMs best accounts for measured brain-activity data. Here we describe a method that complements each BCM by a measurement model (MM), which simulates the way the brain-activity measurements reflect neuronal activity (e.g. local averaging in functional magnetic resonance imaging (fMRI) voxels or sparse sampling in array recordings). The resulting generative model (BCM-MM) produces simulated measurements. To avoid having to fit the MM to predict each individual measurement channel of the brain-activity data, we compare the measured and predicted data at the level of summary statistics. We describe a novel particular implementation of this approach, called probabilistic representational similarity analysis (pRSA) with MMs, which uses representational dissimilarity matrices (RDMs) as the summary statistics. We validate this method by simulations of fMRI measurements (locally averaging voxels) based on a deep convolutional neural network for visual object recognition. Results indicate that the way the measurements sample the activity patterns strongly affects the apparent representational dissimilarities. However, modelling of the measurement process can account for these effects, and different BCMs remain distinguishable even under substantial noise. The pRSA method enables us to perform Bayesian inference on the set of BCMs and to recognize the data-generating model in each case.This article is part of the themed issue ‘Interpreting BOLD: a dialogue between cognitive and cellular neuroscience’.

Highlights

  • To understand how the brain works, we need to build brain-computational models (BCMs) that can perform cognitive tasks, such as object recognition, planning and motor control [1]

  • A BCM that explains a feat of human intelligence, by definition, constitutes an artificial intelligence (AI) system

  • Brain computation activity measurement model data model summary statistics p data summary statistics we explore in this article is that when a population of neurons that is spatially organized at multiple scales is sampled by local averaging, the resulting measurement channel representational dissimilarity matrices (RDMs) can differ substantially from the neuronal RDM

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Summary

Introduction

To understand how the brain works, we need to build brain-computational models (BCMs) that can perform cognitive tasks, such as object recognition, planning and motor control [1]. We explore in this article is that when a population of neurons that is spatially organized at multiple scales (as seen for many cortical areas, e.g. early visual cortex) is sampled by local averaging (as in fMRI voxels), the resulting measurement channel RDM can differ substantially from the neuronal RDM This needs to be taken into account when performing inference on BCMs [32]. To model locally averaging measurement channels, we need to make predictions about the spatial layout of the BCM units, as provided, for example, by the visuotopic maps in deep convolutional neural networks. Each simulated dataset comprised 500 simulated voxels, which were randomly sampled from a population of simulated voxels obtained by Gaussian smoothing (using the local-averaging range parameter to define the FWHM) and random weighting of feature maps using weights drawn uniformly from the unit interval. This is a multinormal distribution centred on m, whose shape is defined by stimulus-pair-by-stimulus-pair covariance matrix V, with D2 1⁄4 ((K2 2 K )/2) entries: V1⁄4

Np þ 2 NpðNp À 1Þ trðSR Á P2
Results
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Discussion
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