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The Geometry of Concept Learning

View ORCID ProfileBen Sorscher, Surya Ganguli, Haim Sompolinsky
doi: https://doi.org/10.1101/2021.03.21.436284
Ben Sorscher
1Department of Applied Physics, Stanford University, Stanford, CA, USA
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Surya Ganguli
1Department of Applied Physics, Stanford University, Stanford, CA, USA
2Stanford Institute for Human-Centered Artificial Intelligence, Stanford, CA, USA
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Haim Sompolinsky
3Center for Brain Science, Harvard University, Cambridge, MA, USA
4Racah Institute of Physics, Hebrew University, Jerusalem, Israel
5Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem, Israel
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  • For correspondence: haim@fiz.huji.ac.il
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Abstract

Understanding the neural basis of the remarkable human cognitive capacity to learn novel concepts from just one or a few sensory experiences constitutes a fundamental problem. We propose a simple, biologically plausible, mathematically tractable, and computationally powerful neural mechanism for few-shot learning of naturalistic concepts. We posit that the concepts that can be learnt from few examples are defined by tightly circumscribed manifolds in the neural firing rate space of higher order sensory areas. We further posit that a single plastic downstream readout neuron learns to discriminate new concepts based on few examples using a simple plasticity rule. We demonstrate the computational power of our proposal by showing it can achieve high few-shot learning accuracy on natural visual concepts using both macaque inferotemporal cortex representations and deep neural network models of these representations, and can even learn novel visual concepts specified only through linguistic descriptors. Moreover, we develop a mathematical theory of few-shot learning that links neurophysiology to behavior by delineating several fundamental and measurable geometric properties of high-dimensional neural representations that can accurately predict the few-shot learning performance of naturalistic concepts across all our numerical simulations. We discuss testable predictions of our theory for psychophysics and neurophysiological experiments.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted May 16, 2021.
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The Geometry of Concept Learning
Ben Sorscher, Surya Ganguli, Haim Sompolinsky
bioRxiv 2021.03.21.436284; doi: https://doi.org/10.1101/2021.03.21.436284
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The Geometry of Concept Learning
Ben Sorscher, Surya Ganguli, Haim Sompolinsky
bioRxiv 2021.03.21.436284; doi: https://doi.org/10.1101/2021.03.21.436284

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