Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.

Representational models specify how activity patterns in populations of neurons (or, more generally, in multivariate brain-activity measurements) relate to sensory stimuli, motor responses, or cognitive processes. In an experimental context, representational models can be defined as hypotheses about...

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Main Authors: Jörn Diedrichsen, Nikolaus Kriegeskorte
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2017-04-01
Series:PLoS Computational Biology
Online Access:http://europepmc.org/articles/PMC5421820?pdf=render
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author Jörn Diedrichsen
Nikolaus Kriegeskorte
author_facet Jörn Diedrichsen
Nikolaus Kriegeskorte
author_sort Jörn Diedrichsen
collection DOAJ
description Representational models specify how activity patterns in populations of neurons (or, more generally, in multivariate brain-activity measurements) relate to sensory stimuli, motor responses, or cognitive processes. In an experimental context, representational models can be defined as hypotheses about the distribution of activity profiles across experimental conditions. Currently, three different methods are being used to test such hypotheses: encoding analysis, pattern component modeling (PCM), and representational similarity analysis (RSA). Here we develop a common mathematical framework for understanding the relationship of these three methods, which share one core commonality: all three evaluate the second moment of the distribution of activity profiles, which determines the representational geometry, and thus how well any feature can be decoded from population activity. Using simulated data for three different experimental designs, we compare the power of the methods to adjudicate between competing representational models. PCM implements a likelihood-ratio test and therefore provides the most powerful test if its assumptions hold. However, the other two approaches-when conducted appropriately-can perform similarly. In encoding analysis, the linear model needs to be appropriately regularized, which effectively imposes a prior on the activity profiles. With such a prior, an encoding model specifies a well-defined distribution of activity profiles. In RSA, the unequal variances and statistical dependencies of the dissimilarity estimates need to be taken into account to reach near-optimal power in inference. The three methods render different aspects of the information explicit (e.g. single-response tuning in encoding analysis and population-response representational dissimilarity in RSA) and have specific advantages in terms of computational demands, ease of use, and extensibility. The three methods are properly construed as complementary components of a single data-analytical toolkit for understanding neural representations on the basis of multivariate brain-activity data.
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spelling doaj.art-7776955fc6624ea0b93338431aa7ffc92022-12-22T00:40:37ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582017-04-01134e100550810.1371/journal.pcbi.1005508Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.Jörn DiedrichsenNikolaus KriegeskorteRepresentational models specify how activity patterns in populations of neurons (or, more generally, in multivariate brain-activity measurements) relate to sensory stimuli, motor responses, or cognitive processes. In an experimental context, representational models can be defined as hypotheses about the distribution of activity profiles across experimental conditions. Currently, three different methods are being used to test such hypotheses: encoding analysis, pattern component modeling (PCM), and representational similarity analysis (RSA). Here we develop a common mathematical framework for understanding the relationship of these three methods, which share one core commonality: all three evaluate the second moment of the distribution of activity profiles, which determines the representational geometry, and thus how well any feature can be decoded from population activity. Using simulated data for three different experimental designs, we compare the power of the methods to adjudicate between competing representational models. PCM implements a likelihood-ratio test and therefore provides the most powerful test if its assumptions hold. However, the other two approaches-when conducted appropriately-can perform similarly. In encoding analysis, the linear model needs to be appropriately regularized, which effectively imposes a prior on the activity profiles. With such a prior, an encoding model specifies a well-defined distribution of activity profiles. In RSA, the unequal variances and statistical dependencies of the dissimilarity estimates need to be taken into account to reach near-optimal power in inference. The three methods render different aspects of the information explicit (e.g. single-response tuning in encoding analysis and population-response representational dissimilarity in RSA) and have specific advantages in terms of computational demands, ease of use, and extensibility. The three methods are properly construed as complementary components of a single data-analytical toolkit for understanding neural representations on the basis of multivariate brain-activity data.http://europepmc.org/articles/PMC5421820?pdf=render
spellingShingle Jörn Diedrichsen
Nikolaus Kriegeskorte
Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
PLoS Computational Biology
title Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
title_full Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
title_fullStr Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
title_full_unstemmed Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
title_short Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis.
title_sort representational models a common framework for understanding encoding pattern component and representational similarity analysis
url http://europepmc.org/articles/PMC5421820?pdf=render
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AT nikolauskriegeskorte representationalmodelsacommonframeworkforunderstandingencodingpatterncomponentandrepresentationalsimilarityanalysis