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20232026
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cs.LG2026

Regret and Polylogarithmic Constraint Violation for COCO

Dhruv Sarkar, Abhishek Sinha

We study constrained online convex optimization with adversarial convex costs and constraints (). At each round , a learner selects from a -dimensi…

cs.LG2026

Constrained Contextual Bandits with Adversarial Contexts

Dhruv Sarkar, Abhishek Sinha

We study constrained contextual bandits with adversarial contexts, where each action yields a random reward and incurs a random cost. The conditional mean reward and cost belong to…

cs.LG2026

A Geometric Approach to Constrained Online Learning

Dhruv Sarkar, Abhishek Sinha

We study constrained online convex optimization with adversarial time-varying constraints. At each round the learner acts before observing the loss and constraint, and is compared…

cs.LG2025

Optimal Anytime Algorithms for Online Convex Optimization with Adversarial Constraints

Dhruv Sarkar, Abhishek Sinha

We propose an anytime online algorithm for the problem of learning a sequence of adversarial convex cost functions while approximately satisfying another sequence of adversarial on…

cs.LG2025

Universal Dynamic Regret and Constraint Violation Bounds for Constrained Online Convex Optimization

Subhamon Supantha, Abhishek Sinha

We consider a generalization of the celebrated Online Convex Optimization (OCO) framework with adversarial online constraints. In this problem, an online learner interacts with an…

cs.LG2025

Online Learning for Approximately-Convex Functions with Long-term Adversarial Constraints

Dhruv Sarkar, Samrat Mukhopadhyay, Abhishek Sinha

We study an online learning problem with long-term budget constraints in the adversarial setting. In this problem, at each round , the learner selects an action from a convex de…

cs.LG2025

Beyond Constraint Violation for Online Convex Optimization with Adversarial Constraints

Abhishek Sinha, Rahul Vaze

We study Online Convex Optimization with adversarial constraints (COCO). At each round a learner selects an action from a convex decision set and then an adversary reveals a convex…

cs.LG2025

Static Regret and Instance Dependent Constraint Violation for Constrained Online Convex Optimization

Rahul Vaze, Abhishek Sinha

The constrained version of the standard online convex optimization (OCO) framework, called COCO is considered, where on every round, a convex cost function and a convex constraint…

cs.LG2025

Projection-free Algorithms for Online Convex Optimization with Adversarial Constraints

Dhruv Sarkar, Aprameyo Chakrabartty, Subhamon Supantha +2

We study a generalization of the Online Convex Optimization (OCO) framework with time-varying adversarial constraints. In this setting, at each round, the learner selects an action…

cs.LG2024

Tight Bounds for Online Convex Optimization with Adversarial Constraints

Abhishek Sinha, Rahul Vaze

A well-studied generalization of the standard online convex optimization (OCO) is constrained online convex optimization (COCO). In COCO, on every round, a convex cost function and…

cs.LG2023

Optimal Algorithms for Online Convex Optimization with Adversarial Constraints

Abhishek Sinha, Rahul Vaze

A well-studied generalization of the standard online convex optimization (OCO) framework is constrained online convex optimization (COCO). In COCO, on every round, a convex cost fu…