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Discovering Temporally Compositional Neural Manifolds with Switching Infinite GPFA

Yu, Changmin; Sahani, Maneesh; Lengyel, Máté; (2025) Discovering Temporally Compositional Neural Manifolds with Switching Infinite GPFA. In: Proceedings 13th International Conference on Learning Representations ICLR 2025. ICLR: Singapore, Singapore. Green open access

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Abstract

Gaussian Process Factor Analysis (GPFA) is a powerful latent variable model for extracting low-dimensional manifolds underlying population neural activities. However, one limitation of standard GPFA models is that the number of latent factors needs to be pre-specified or selected through heuristic-based processes, and that all factors contribute at all times. We propose the infinite GPFA model, a fully Bayesian non-parametric extension of the classical GPFA by incorporating an Indian Buffet Process (IBP) prior over the factor loading process, such that it is possible to infer a potentially infinite set of latent factors, and the identity of those factors that contribute to neural firings in a compositional manner at \textit{each} time point. Learning and inference in the infinite GPFA model is performed through variational expectation-maximisation, and we additionally propose scalable extensions based on sparse variational Gaussian Process methods. We empirically demonstrate that the infinite GPFA model correctly infers dynamically changing activations of latent factors on a synthetic dataset. By fitting the infinite GPFA model to population activities of hippocampal place cells during spatial tasks with alternating random foraging and spatial memory phases, we identify novel non-trivial and behaviourally meaningful dynamics in the neural encoding process.

Type: Proceedings paper
Title: Discovering Temporally Compositional Neural Manifolds with Switching Infinite GPFA
Event: The Thirteenth International Conference on Learning Representations
Open access status: An open access version is available from UCL Discovery
Publisher version: https://openreview.net/forum?id=BRjHELYKId
Language: English
Additional information: © The Author(s), 2025. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. https://creativecommons.org/licenses/by/4.0/.
Keywords: Computational neuroscience, neural data analysis, Bayesian nonparametrics, latent variable modelling
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Gatsby Computational Neurosci Unit
URI: https://discovery.ucl.ac.uk/id/eprint/10207674
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