58 citations · 296 across the 62 of their papers we have counts for
4 papers · 1 filter
Revisiting SIR in the age of COVID-19: Explicit Solutions and Control Problems
Vivek S. Borkar, D. Manjunath
The non-population conserving SIR (SIR-NC) model to describe the spread of infections in a community is proposed and studied. Unlike the standard SIR model, SIR-NC does not assume…
Dynamic social learning under graph constraints
Konstantin Avrachenkov, Vivek S. Borkar, Sharayu Moharir +1
We introduce a model of graph-constrained dynamic choice with reinforcement modeled by positively -homogeneous rewards. We show that its empirical process, which can be written…
Whittle index based Q-learning for restless bandits with average reward
Konstantin E. Avrachenkov, Vivek S. Borkar
A novel reinforcement learning algorithm is introduced for multiarmed restless bandits with average reward, using the paradigms of Q-learning and Whittle index. Specifically, we le…
A variational characterization of the optimal exit rate for controlled diffusions
Ari Arapostathis, Vivek S. Borkar
The main result in this paper is a variational formula for the exit rate from a bounded domain for a diffusion process in terms of the stationary law of the diffusion constrained t…