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Research map / Bandits and online learning / Multi-armed bandits

Bandits with many optimal arms

NeurIPS 2021 · Bandits and online learning › Multi-armed bandits · approach: Best-arm identification in linear bandits · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use reservoir sampling and horizon-independent UCB bonuses calibrated to the optimal-arm proportionSampling UCB · Cumulative regretexpected cumulative regret: O\left( \frac{\log(T) \log(1/\Delta)}{\pstar \Delta}\right)Helped
Add fresh arms from the reservoir at each elimination roundSuccessive elimination · Best-arm identificationprobability of error: 2\log(T) \exp\left(- c \frac{ \Delta^2 \pstar T}{ \log T} \right)Helped
Attempt to adapt cumulative-regret performance to the optimal-arm proportion without knowing itCumulative-regret algorithms · Cumulative regretexpected cumulative regret: \E R(T) \geq \frac{\sqrt{T}\Delta}{4}Hurt

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