72 citations · 369 across the 34 of their papers we have counts for
5 papers · 1 filter
Uniform-in-Time Boltzmann Mean-Field Limits for Anchored Binary Opinion Dynamics
Jingyi Zhang, Debankur Mukherjee
We study a continuous-time opinion model in which agents interact in pairs and each agent has a fixed anchor. At each interaction, both opinions are updated according to a possibly…
Scaling Limits of Constant-Stepsize SGD at Flat Minima
Jingyi Zhang, Cheng Mao, Debankur Mukherjee
For stochastic gradient descent (SGD) with a constant stepsize , the invariant law of the iterates, centered at a minimizer, describes the behavior of the algorithm over long ti…
Waning Immunity Fails to Restore a Positive Epidemic Threshold on Power-Law Networks
Zihao He, Souvik Dhara, Debankur Mukherjee
In a seminal work, Chatterjee and Durrett (2009) established that for the SIS epidemic process on random graphs with power-law degree distributions, the infection survives for an e…
Higher-Order Approximations of Sojourn Times in M/G/1 Queues via Stein's Method
Bihan Chatterjee, Siva Theja Maguluri, Debankur Mukherjee
We study the stationary sojourn time distribution in an M/G/1 queue operating under heavy traffic. It is known that the sojourn time converges to an exponential distribution in the…
SCaLE: Switching Cost aware Learning and Exploration
Neelkamal Bhuyan, Debankur Mukherjee, Adam Wierman
This work addresses the fundamental problem of unbounded metric movement costs in bandit online convex optimization, by considering high-dimensional dynamic quadratic hitting costs…