56 citations · 238 across the 48 of their papers we have counts for
6 papers · 1 filter
On the Convergence Rate of Sinkhorn's Algorithm
Promit Ghosal, Marcel Nutz
We study Sinkhorn's algorithm for solving the entropically regularized optimal transport problem. Its iterate is shown to satisfy …
Long and short time laws of iterated logarithms for the KPZ fixed point
Sayan Das, Promit Ghosal, Yier Lin
We consider the KPZ fixed point starting from a general class of initial data. In this article, we study the growth of the large peaks of the KPZ fixed point at a spatial point …
Moment Intermittency in the PAM with Asymptotically Singular Noise
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Let be a singular Gaussian noise on that is either white, fractional, or with the Riesz covariance kernel; in particular, there exists a scaling parameter s…
Randomly Initialized One-Layer Neural Networks Make Data Linearly Separable
Promit Ghosal, Srinath Mahankali, Yihang Sun
Recently, neural networks have demonstrated remarkable capabilities in mapping two arbitrary sets to two linearly separable sets. The prospect of achieving this with randomly initi…
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…
Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation
Promit Ghosal, Guilherme L. F. Silva
We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of…