Evidence for compositionality in fMRI visual representations via Brain Algebra

Abstract Electrophysiological and neuroimaging studies have revealed how the brain encodes various visual categories and concepts. An open question is how combinations of multiple visual concepts are represented in terms of the component brain patterns: are brain responses to individual concepts com...

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Main Authors: Matteo Ferrante, Tommaso Boccato, Nicola Toschi, Rufin VanRullen
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Communications Biology
Online Access:https://doi.org/10.1038/s42003-025-08706-4
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author Matteo Ferrante
Tommaso Boccato
Nicola Toschi
Rufin VanRullen
author_facet Matteo Ferrante
Tommaso Boccato
Nicola Toschi
Rufin VanRullen
author_sort Matteo Ferrante
collection DOAJ
description Abstract Electrophysiological and neuroimaging studies have revealed how the brain encodes various visual categories and concepts. An open question is how combinations of multiple visual concepts are represented in terms of the component brain patterns: are brain responses to individual concepts composed according to algebraic rules? To explore this, we generated “conceptual perturbations" in neural space by averaging fMRI responses to images with a shared concept (e.g., “winter" or “summer"). After thresholding to ensure specificity, we applied these perturbations to the neural pattern associated with a base image, forming new brain patterns that incorporate the added concept. These modified brain patterns were then decoded into images using a pretrained fMRI-to-image decoding model. Qualitative and quantitative inspection of the resulting images provides insight into how the brain might combine visual concepts. For example, adding a “winter" perturbation to the brain pattern of a man on a skateboard yields a new pattern representing a man on a snowboard in a winter scene—even when the perturbation modifies only a small subset of voxels. Our findings reveal that compositional processes in neural representations may lead to predictable perceptual outcomes, as interpreted by our decoding model. This suggests that the brain’s combinatory encoding of concepts may follow a systematic, algebraic-like process—what we term “brain algebra." Although our study is model-driven, it opens avenues for future empirical work into the mechanisms of compositionality in the brain.
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spelling doaj-art-a2b5c662064f44eaa95e91048e6fdb052025-08-24T11:45:45ZengNature PortfolioCommunications Biology2399-36422025-08-018111110.1038/s42003-025-08706-4Evidence for compositionality in fMRI visual representations via Brain AlgebraMatteo Ferrante0Tommaso Boccato1Nicola Toschi2Rufin VanRullen3Department of Biomedicine and Prevention, University of Rome, Tor Vergata (IT)Department of Biomedicine and Prevention, University of Rome, Tor Vergata (IT)Martinos Center For Biomedical Imaging, MGH and Harvard Medical School (USA)CerCo, CNRS UMR5549Abstract Electrophysiological and neuroimaging studies have revealed how the brain encodes various visual categories and concepts. An open question is how combinations of multiple visual concepts are represented in terms of the component brain patterns: are brain responses to individual concepts composed according to algebraic rules? To explore this, we generated “conceptual perturbations" in neural space by averaging fMRI responses to images with a shared concept (e.g., “winter" or “summer"). After thresholding to ensure specificity, we applied these perturbations to the neural pattern associated with a base image, forming new brain patterns that incorporate the added concept. These modified brain patterns were then decoded into images using a pretrained fMRI-to-image decoding model. Qualitative and quantitative inspection of the resulting images provides insight into how the brain might combine visual concepts. For example, adding a “winter" perturbation to the brain pattern of a man on a skateboard yields a new pattern representing a man on a snowboard in a winter scene—even when the perturbation modifies only a small subset of voxels. Our findings reveal that compositional processes in neural representations may lead to predictable perceptual outcomes, as interpreted by our decoding model. This suggests that the brain’s combinatory encoding of concepts may follow a systematic, algebraic-like process—what we term “brain algebra." Although our study is model-driven, it opens avenues for future empirical work into the mechanisms of compositionality in the brain.https://doi.org/10.1038/s42003-025-08706-4
spellingShingle Matteo Ferrante
Tommaso Boccato
Nicola Toschi
Rufin VanRullen
Evidence for compositionality in fMRI visual representations via Brain Algebra
Communications Biology
title Evidence for compositionality in fMRI visual representations via Brain Algebra
title_full Evidence for compositionality in fMRI visual representations via Brain Algebra
title_fullStr Evidence for compositionality in fMRI visual representations via Brain Algebra
title_full_unstemmed Evidence for compositionality in fMRI visual representations via Brain Algebra
title_short Evidence for compositionality in fMRI visual representations via Brain Algebra
title_sort evidence for compositionality in fmri visual representations via brain algebra
url https://doi.org/10.1038/s42003-025-08706-4
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