Topological structure of population activity in mouse visual cortex encodes densely sampled stimulus rotations

Beshkov, Kosio; Fyhn, Marianne; Hafting, Torkel; Einevoll, Gaute T.

doi:10.1016/j.isci.2024.109370

iScience

2024

DOI: 10.1016/j.isci.2024.109370

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Topological structure of population activity in mouse visual cortex encodes densely sampled stimulus rotations

Kosio Beshkov,

Marianne Fyhn,

Torkel Hafting

et al.

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2024

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Cited by 1 publication

References 55 publications

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Bridging tuning and invariance with equivariant neuronal representations

Hoeller,

Zhong,

Pachitariu

et al. 2024

Preprint

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As we move through the world, we see the same visual scenes from different perspectives. Although we experience perspective deformations, our perception of a scene remains stable. This raises the question of which neuronal representations in visual brain areas are perspective-tuned and which are invariant. Focusing on planar rotations, we introduce a mathematical framework based on the principle of equivariance, which asserts that an image rotation results in a corresponding rotation of neuronal representations, to explain how the same representation can range from being fully tuned to fully invariant. We applied this framework to large-scale simultaneous neuronal recordings from four visual cortical areas in mice, where we found that representations are both tuned and invariant but become more invariant across higher-order areas. While common deep convolutional neural networks show similar trends in orientation-invariance across layers, they are not rotation-equivariant. We propose that equivariance is a prevalent computation of populations of biological neurons to gradually achieve invariance through structured tuning.

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Bridging tuning and invariance with equivariant neuronal representations

Hoeller,

Zhong,

Pachitariu

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

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Topological structure of population activity in mouse visual cortex encodes densely sampled stimulus rotations

Cited by 1 publication

References 55 publications

Bridging tuning and invariance with equivariant neuronal representations

Bridging tuning and invariance with equivariant neuronal representations

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