3 papers
cond-mat.dis-nn2026
A minimal mechanism to generate long timescales without fine tuning
Kathryn McClain, Shivang Rawat, Mia Morrell +3
Long timescales in brain dynamics give rise to power law correlations measured in experiments. A simple linear recurrent neural network model can reproduce this power law behavior,…
math.PR2026
Exact Variance and Fano Factor for Arbitrary Level Crossings in Stationary Gaussian Processes
Shivang Rawat, Flaviano Morone, David J. Heeger +1
Understanding the statistics of level crossings in stochastic processes is crucial across many scientific disciplines. The traditional Kac-Rice formula gives the mean rate of level…
q-bio.NC2025
Unconditional stability of a recurrent neural circuit implementing divisive normalization
Shivang Rawat, David J. Heeger, Stefano Martiniani
Stability in recurrent neural models poses a significant challenge, particularly in developing biologically plausible neurodynamical models that can be seamlessly trained. Traditio…