English

On Online Learning in Kernelized Markov Decision Processes

Machine Learning 2019-11-06 v1 Machine Learning

Abstract

We develop algorithms with low regret for learning episodic Markov decision processes based on kernel approximation techniques. The algorithms are based on both the Upper Confidence Bound (UCB) as well as Posterior or Thompson Sampling (PSRL) philosophies, and work in the general setting of continuous state and action spaces when the true unknown transition dynamics are assumed to have smoothness induced by an appropriate Reproducing Kernel Hilbert Space (RKHS).

Keywords

Cite

@article{arxiv.1911.01871,
  title  = {On Online Learning in Kernelized Markov Decision Processes},
  author = {Sayak Ray Chowdhury and Aditya Gopalan},
  journal= {arXiv preprint arXiv:1911.01871},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1805.08052

R2 v1 2026-06-23T12:06:09.567Z