33 citations · 164 across the 51 of their papers we have counts for
4 papers · 1 filter
Universal halting times in optimization and machine learning
Levent Sagun, Thomas Trogdon, Yann LeCun
The authors present empirical distributions for the halting time (measured by the number of iterations to reach a given accuracy) of optimization algorithms applied to two random s…
Boundary value problems for evolution partial differential equations with discontinuous data
Gino Biondini, Thomas Trogdon
We characterize the behavior of the solutions of linear evolution partial differential equations on the half line in the presence of discontinuous initial conditions or discontinuo…
On the condition number of the critically-scaled Laguerre Unitary Ensemble
Percy Deift, Govind Menon, Thomas Trogdon
We consider the Laguerre Unitary Ensemble (aka, Wishart Ensemble) of sample covariance matrices , where is an matrix with iid standard complex normal ent…
Numerical Inverse Scattering for the Toda Lattice
Deniz Bilman, Thomas Trogdon
We present a method to compute the inverse scattering transform (IST) for the famed Toda lattice by solving the associated Riemann--Hilbert (RH) problem numerically. Deformations f…