Mert Gürbüzbalaban

Publications · Preprint · arXiv 2025

DIGing-SGLD: decentralized and scalable Langevin sampling over time-varying networks


Waheed U. Bajwa, Mert Gürbüzbalaban, Mustafa Ali Kutbay, Lingjiong Zhu, Muhammad Zulqarnain

arXiv preprint, 2025.

In brief

Agents holding different parts of the data want to sample from the joint posterior without pooling it, over a network whose links change over time — a setting in which earlier decentralized Langevin methods drift away from the target. DIGing-SGLD adds gradient tracking, so each agent follows an estimate of the network-average gradient; this removes the network-induced bias and yields the first finite-time Wasserstein guarantees for time-varying networks, matching centralized rates.

Cite
@misc{bajwa2025diging,
  title   = {DIGing-SGLD: decentralized and scalable Langevin sampling over time-varying networks},
  author  = {Waheed U. Bajwa and Mert Gürbüzbalaban and Mustafa Ali Kutbay and Lingjiong Zhu and Muhammad Zulqarnain},
  year    = {2025},
  howpublished = {arXiv preprint arXiv:2511.12836},
}

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