Research map / Bandits and online learning / Contextual bandits and Thompson sampling
No-Regret Algorithms for Heavy-Tailed Linear Bandits
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| dynamic truncation of losses (alpha_t = t^{1/(2(1+eps))}) in the mean estimator | linear bandit confidence-region algorithm · synthetic heavy-tailed noise, T=10^6 | regret: about 25% lower regret | Helped |
| median-of-means estimator with batched updates (m = T^{2eps/(1+3eps)} batches) | linear bandit confidence-region algorithm · theoretical regret bound | regret exponent | Helped |
| median-of-means estimator in place of ridge regression in the regime eps→1 | linear bandit confidence-region algorithm · theoretical regret bound, all moments exist | regret exponent: eO(vT^{2/3}) vs eO(vT^{1/2}) for truncation | Hurt |
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