Nonstationary Generalized Linear Bandits with Discounted Online Mirror Descent
We study nonstationary generalized linear bandits (GLBs), where the expected reward is modeled through a nonlinear link function with an unknown time-varying parameter. This framework encompasses a broad class of reward models, including linear, Bernoulli, and binomial rewards. Existing approaches are predominantly based on maximum-likelihood estimation (MLE), using sliding-window, restart, or discounting mechanisms to handle nonstationarity. Although these methods achieve statistically efficient regret guarantees, they generally require revisiting past observations at every round, which leads to computation and memory costs that grow with time; moreover, several of them rely on a non-con...
| Authors | Joongkyu Lee, Min-hwan Oh |
|---|---|
| Primary category | stat.ML |
| Published | 25 May 2026 |
| Last updated at source | 26 September 2026 |
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