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A Theory of Adversary-Directed Online Learning

NeurIPS 2026 · Bandits and online learning › Online convex optimization and games · approach: Online learning with feedback graphs

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Introduces adversary-directed online learning, where the learner knows the instance set in advance but an adversary adaptively chooses the presentation order, and develops a theory for it.

Problem

Online learning where the learner knows the set of instances beforehand but an adversary adaptively determines their ordering; this formulation has not been previously studied, unlike traditional adversarial online learning.

Approach

Formalizes a new online learning model in which the instance set is known to the learner and only the adversary's ordering of instances is adaptive, distinguishing it from standard adversarial online learning and related models such as transductive online learning.

Experimental setup

Builds on: transductive online learning

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