OCO Algorithms learned so far Given first-order information oracle:problem-dedependent bound Assumption(s) Setting of Setting of nt Problem-dependent Optimism Regret Bound Small-loss L-Smooth+ Bound Non-negative M:=0 ≈鼎a (v1+F) Variance D 一 Bound M=t-1 V1+Var:-1 (1+Var Variation D L-Smooth Bound M:=Vf-1(xt-1） V1+V- O(1+) Advanced Optimization(Fall 2023) Lecture 11.Adversarial Bandits 7 Advanced Optimization (Fall 2023) Lecture 11. Adversarial Bandits 7 OCO Algorithms learned so far • Given first-order information oracle: problem-dedependent bound Assumption(s) Setting of Optimism Problem-dependent Regret Bound Small-loss Bound L-Smooth + Non-negative Variance Bound — Variation Bound L-Smooth