Computer Science > Machine Learning
arXiv:2603.09168 (cs)
[Submitted on 10 Mar 2026]
Title:Better Bounds for the Distributed Experts Problem
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Abstract:In this paper, we study the distributed experts problem, where $n$ experts are distributed across $s$ servers for $T$ timesteps. The loss of each expert at each time $t$ is the $\ell_p$ norm of the vector that consists of the losses of the expert at each of the $s$ servers at time $t$. The goal is to minimize the regret $R$, i.e., the loss of the distributed protocol compared to the loss of the best expert, amortized over the all $T$ times, while using the minimum amount of communication. We give a protocol that achieves regret roughly $R\gtrsim\frac{1}{\sqrt{T}\cdot\text{poly}\log(nsT)}$, using $\mathcal{O}\left(\frac{n}{R^2}+\frac{s}{R^2}\right)\cdot\max(s^{1-2/p},1)\cdot\text{poly}\log(nsT)$ bits of communication, which improves on previous work.
| Subjects: | Machine Learning (cs.LG); Data Structures and Algorithms (cs.DS); Machine Learning (stat.ML) |
| Cite as: | arXiv:2603.09168 [cs.LG] |
| (or arXiv:2603.09168v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2603.09168
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