Stochastic activity in low-rank recurrent neural networks.

ABSTRACT: The geometrical and statistical properties of brain activity depend on the way neurons connect to form recurrent circuits. However, the link between connectivity structure and emergent activity remains incompletely understood. We investigate this relationship in recurrent neural networks with additive stochastic inputs. We assume that the synaptic connectivity can be expressed in a low-rank form, parameterized by a handful of connectivity vectors, and examine how the geometry of emergent activity relates to these vectors. Our findings reveal that this relationship critically depends on the dimensionality of the external stochastic inputs. When inputs are low-dimensional, activity remains low-dimensional, and recurrent dynamics influence it within a subspace spanned by a subset of the conne

SUBMITTER: Mastrogiuseppe F 

PROVIDER: S-EPMC12413093 | biostudies-literature | 2025 Aug

REPOSITORIES: biostudies-literature