English

Hidden Markov Modeling over Graphs

Signal Processing 2022-03-10 v2 Multiagent Systems Systems and Control Systems and Control

Abstract

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that the difference from the optimal centralized Bayesian solution is asymptotically bounded for geometrically ergodic transition models. Experiments illustrate the theoretical findings and in particular, demonstrate the superior performance of the proposed algorithm compared to a state-of-the-art social learning algorithm.

Keywords

Cite

@article{arxiv.2111.13626,
  title  = {Hidden Markov Modeling over Graphs},
  author = {Mert Kayaalp and Virginia Bordignon and Stefan Vlaski and Ali H. Sayed},
  journal= {arXiv preprint arXiv:2111.13626},
  year   = {2022}
}

Comments

Accepted to IEEE Data Science and Learning Workshop 2022

R2 v1 2026-06-24T07:53:21.710Z