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q-bio.NC2026
Dynamics of random recurrent neural networks: colored noise and sublinear activations
German Mato, Facundo Rigatuso, Gonzalo Torroba
We study the dynamics of recurrent neural networks with random couplings, sublinear odd activation functions, and temporally correlated noise. Using large N methods, we determine s…
q-bio.NC2025
Statistics of correlations in nonlinear recurrent neural networks
German Mato, Facundo Rigatuso, Gonzalo Torroba
The statistics of correlations are central quantities characterizing the collective dynamics of recurrent neural networks. We derive exact expressions for the statistics of correla…