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stat.ML2026
Non-Adaptive 1-Bit Mean Estimation: Minimax Rates and the Sample-Interval Tradeoff
Ivan Lau, Jonathan Scarlett
We study distributed one-dimensional mean estimation under a 1-bit communication constraint. Each agent observes one sample, drawn independently from an unknown distribution, and r…
stat.ML2026
Batched Stochastic Linear Bandits with 1-Bit Communication Constraints
Ivan Lau, Daniel McMorrow, Kevin Jamieson +1
We study stochastic linear bandits under a natural combination of batching and communication constraints: the time horizon is partitioned into batches of equal size , and during…
stat.ML2026
Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes
Ivan Lau, Jonathan Scarlett
In this paper, we study the problem of mean estimation under 1-bit communication constraints. We propose a novel adaptive mean estimator based solely on randomized threshold querie…