5 papers
Whither quantum advantage? New classical lower bounds for Max-Cut on large-girth 3-regular graphs
Flaviano Morone, Shivang Rawat, Dries Sels
Every 3-regular graph of girth at least has a cut containing at least a fraction of its edges, and the best rigorous bounds at large girth are $0.912\le \lim_{g\to\infty}…
Prospective Coding Improves Learning in Deep Continuous-Time Recurrent Networks
Shivang Rawat, Mirko Morello, Flaviano Morone +1
Temporal integration gives continuous-time recurrent networks memory, but in deep stacks it also delays bottom-up signals and attenuates top-down errors. We develop Recursive Quadr…
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,…
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…
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…