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Online Stochastic Linear Optimization under One-bit Feedback

ICML 2016 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Linear and generalized linear bandits · 30 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use lazy updating (recompute x_t only when det(Z_t) grows by factor (1+c))OL2M · theoretical regret boundregret and computation: regret only increased by a constant factor sqrt(1+c)Mixed
lazy updating reduces optimization solvesOL2M · computation costnumber of optimization solvesHelped
replace nonlinear logit regret by the linear regretOL2M analysis · regret definitionregretNo clear effect
use online Newton step with exponential concavity of logistic loss instead of generalized linear bandit estimatorOL2M · stochastic linear optimization with one-bit feedbackregret boundHelped
restrict action set D to the unit ballOL2M · action selectioncomputation timeHelped

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