101 citations · 148 across the 10 of their papers we have counts for
3 papers · 1 filter
Path convergence of Markov chains on large graphs
Siva Athreya, Soumik Pal, Raghav Somani +1
We consider two classes of natural stochastic processes on finite unlabeled graphs. These are Euclidean stochastic optimization algorithms on the adjacency matrix of weighted graph…
Stochastic optimization on matrices and a graphon McKean-Vlasov limit
Zaid Harchaoui, Sewoong Oh, Soumik Pal +2
We consider stochastic gradient descents on the space of large symmetric matrices of suitable functions that are invariant under permuting the rows and columns using the same permu…
Gradient flows on graphons: existence, convergence, continuity equations
Sewoong Oh, Soumik Pal, Raghav Somani +1
Wasserstein gradient flows on probability measures have found a host of applications in various optimization problems. They typically arise as the continuum limit of exchangeable p…