Search Results for author: Lin Fan

Found 5 papers, 1 papers with code

The Typical Behavior of Bandit Algorithms

no code implementations11 Oct 2022 Lin Fan, Peter W. Glynn

The tail characterizations there are associated with atypical bandit behavior on trajectories where the optimal arm mean is under-estimated, leading to mis-identification of the optimal arm and large regret.

Thompson Sampling

The Fragility of Optimized Bandit Algorithms

no code implementations28 Sep 2021 Lin Fan, Peter W. Glynn

It is well known that designs that are optimal over certain exponential families can achieve expected regret that grows logarithmically in the number of arm plays, at a rate governed by the Lai-Robbins lower bound.

Diffusion Approximations for Thompson Sampling

no code implementations19 May 2021 Lin Fan, Peter W. Glynn

In the regime where the gaps between arm means scale as $1/\sqrt{n}$ with the time horizon $n$, we show that the dynamics of Thompson sampling evolve according to discrete versions of SDEs and random ODEs.

Multi-Armed Bandits Thompson Sampling

Change-Point Testing for Risk Measures in Time Series

no code implementations7 Sep 2018 Lin Fan, Peter W. Glynn, Markus Pelger

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series.

Time Series

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