Probing Biological and Artificial Neural Networks with Task-dependent Neural Manifolds

Michael Kuoch, Chi Ning Chou, Nikhil Parthasarathy, Joel Dapello, James J. DiCarlo, Haim Sompolinsky, Sue Yeon Chung

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

Recently, growth in our understanding of the computations performed in both biological and artificial neural networks has largely been driven by either low-level mechanistic studies or global normative approaches. However, concrete methodologies for bridging the gap between these levels of abstraction remain elusive. In this work, we investigate the internal mechanisms of neural networks through the lens of neural population geometry, aiming to provide understanding at an intermediate level of abstraction, as a way to bridge that gap. Utilizing manifold capacity theory (MCT) from statistical physics and manifold alignment analysis (MAA) from high-dimensional statistics, we probe the underlying organization of task-dependent manifolds in deep neural networks and macaque neural recordings. Specifically, we quantitatively characterize how different learning objectives lead to differences in the organizational strategies of these models and demonstrate how these geometric analyses are connected to the decodability of task-relevant information. These analyses present a strong direction for bridging mechanistic and normative theories in neural networks through neural population geometry, potentially opening up many future research avenues in both machine learning and neuroscience.

Original languageEnglish
Pages (from-to)395-418
Number of pages24
JournalProceedings of Machine Learning Research
Volume234
StatePublished - 2024
Event1st Conference on Parsimony and Learning, CPAL 2024 - Hongkong, China
Duration: 3 Jan 20246 Jan 2024

Bibliographical note

Publisher Copyright:
© 2024 Proceedings of Machine Learning Research

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