Discovering learning-induced changes in neural representations from large-scale neural data tensors

Learning induces changes in neural activity over slow timescales. These changes can be summarized by restructuring neural population data into a three-dimensional array or tensor, of size neurons by time points by trials. Classic dimensionality reduction methods often assume that neural representations are constrained to a fixed low-dimensional latent subspace. Consequently, this view does not capture how the latent subspace could evolve over learning, nor how high-dimensional neural activity could emerge over learning. Furthermore, the link between these empirically-observed changes in neural activity as a result of learning and circuit-level changes in recurrent dynamics is unclear. In this talk I will discuss our recent efforts towards developing dimensionality reduction and data-driven modeling methods based on tensors in order to identify how neural representations change over learning. First we introduce a new tensor decomposition, sliceTCA, which is able to disentangle latent variables of multiple covariability classes that are often mixed in neural population data. We demonstrate in three datasets that sliceTCA is able to capture more behaviorally-relevant information in neural data than previous methods. Second, to probe for how circuit-level changes in neural dynamics implement the observed changes in neural activity, we develop a data-driven RNN-based framework in which the recurrent connectivity is constrained to be low tensor rank. We demonstrate that such low tensor rank RNNs (ltrRNNs) are able to capture changes in neural geometry and dynamics in motor cortical data from a motor adaptation task. Together, both sliceTCA and ltrRNN demonstrate the utility of interpretable, tensor-based methods for discovery of learning-induced changes in neural representations directly from data.