activity
20022026
most citedThe ODE method for stability of skip-free Markov chains with applications to MCMC

22 citations · 73 across the 12 of their papers we have counts for

collaborators

12 papers

math.OC2026

Fast PAC Global Optimization via Restarted Langevin: Exploration, Exploitation, and Degenerate Cooling

Ioannis Kontoyiannis, Sean Meyn

This paper addresses a fundamental question in non-convex optimization: \textit{How should a stochastic optimizer allocate computation between global exploration and local exploita…

math.OC2022★ 5 cited

Markovian Foundations for Quasi-Stochastic Approximation with Applications to Extremum Seeking Control

Caio Kalil Lauand, Sean Meyn

This paper concerns quasi-stochastic approximation (QSA) to solve root finding problems commonly found in applications to optimization and reinforcement learning. The general const…

math.ST2021★ 9 cited

The ODE Method for Asymptotic Statistics in Stochastic Approximation and Reinforcement Learning

Vivek Borkar, Shuhang Chen, Adithya Devraj +2

The paper concerns the -dimensional stochastic approximation recursion, where is a stochastic process on a general st…

cs.LG2020★ 9 cited

Q-learning with Uniformly Bounded Variance: Large Discounting is Not a Barrier to Fast Learning

Adithya M. Devraj, Sean P. Meyn

Sample complexity bounds are a common performance metric in the Reinforcement Learning literature. In the discounted cost, infinite horizon setting, all of the known bounds have a…

math.PR2015

On the -Norm Ergodicity of Markov Processes in Continuous Time

I. Kontoyiannis, S. P. Meyn

Consider a Markov process evolving on a Polish space . A version of the -Norm Ergodic Theorem is obtained: Suppose that the process is -irreduci…

math.PR2009★ 2 cited

Geometric Ergodicity and the Spectral Gap of Non-Reversible Markov Chains

Ioannis Kontoyiannis, Sean P. Meyn

We argue that the spectral theory of non-reversible Markov chains may often be more effectively cast within the framework of the naturally associated weighted- space $L_\…