Neural activity during performance of a cognitive or motor task is often described as lying on a low-dimensional manifold in the space of all possible activity patterns. When multiple tasks are performed, an individual brain region’s activity may generate multiple such manifolds. Several models have been introduced to...
Manuel Beirán, Owen Marschall, Klavdia Zemlianova et al.· bioRxiv· 0 citations
Recordings of increasingly large neural populations have revealed that the firing of individual neurons is highly coordinated. When viewed in the space of all possible patterns, the collective activity forms nonlinear structures called neural manifolds. Because such structures are observed even at rest or during sleep,...
Arianna Di Bernardo, Adrian Valente, Francesca Mastrogiuseppe et al.· Neural Computation· 0 citations
The equivariance relaxation morphism, which preserves functionality while reparameterizing a group equivariant layer to operate with equivariance constraints on a subgroup, and the [ G ]-mixed equivariant layer, which mixes operations constrained to equivariance to different groups to enable within-layer equivariance o...
Kaitlin Maile, Dennis G. Wilson, Patrick Forré et al.· 0 citations
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