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Showing 2022 · math-phShow all
3 papers · 2 filters
math-ph2022★ 12 cited
Rigorous dynamical mean field theory for stochastic gradient descent methods
Cedric Gerbelot, Emanuele Troiani, Francesca Mignacco +2
We prove closed-form equations for the exact high-dimensional asymptotics of a family of first order gradient-based methods, learning an estimator (e.g. M-estimator, shallow neural…
math-ph2022★ 7 cited
Recurrence times, waiting times and universal entropy production estimators
Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić +1
The universal typical-signal estimators of entropy and cross entropy based on the asymptotics of recurrence and waiting times play an important role in information theory. Building…
math-ph2022★ 5 cited
Motion of Lee-Yang zeros
Qi Hou, Jianping Jiang, Charles M. Newman
We consider the zeros of the partition function of the Ising model with ferromagnetic pair interactions and complex external field. Under the assumption that the graph with strictl…