RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural Networks
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Publication:6370478
arXiv2106.08928MaRDI QIDQ6370478
Author name not available (Why is that?)
Publication date: 16 June 2021
Abstract: Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of studying multiple interacting areas, and RNN theory needs to be likewise extended. We take a constructive approach towards this problem, leveraging tools from nonlinear control theory and machine learning to characterize when combinations of stable RNNs will themselves be stable. Importantly, we derive conditions which allow for massive feedback connections between interacting RNNs. We parameterize these conditions for easy optimization using gradient-based techniques, and show that stability-constrained "networks of networks" can perform well on challenging sequential-processing benchmark tasks. Altogether, our results provide a principled approach towards understanding distributed, modular function in the brain.
Has companion code repository: https://github.com/ennisthemennis/sparse-combo-net
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