English

Computing Stationary Distribution via Dirichlet-Energy Minimization by Coordinate Descent

Probability 2026-03-09 v1 Optimization and Control

Abstract

We present an optimization-based formulation of the Red Light Green Light (RLGL) algorithm for computing stationary distributions of large Markov chains. This perspective clarifies the algorithm's behavior, establishes exponential convergence for a class of chains, and suggests practical scheduling strategies to accelerate convergence.

Cite

@article{arxiv.2603.06391,
  title  = {Computing Stationary Distribution via Dirichlet-Energy Minimization by Coordinate Descent},
  author = {Konstantin Avrachenkov and Lorenzo Gregoris and Nelly Litvak},
  journal= {arXiv preprint arXiv:2603.06391},
  year   = {2026}
}
R2 v1 2026-07-01T11:07:06.271Z