A primal-dual framework with adaptive dual regularizer achieves O(√T) regret and O(√T log T) constraint violation for constrained OCO without Slater's condition under stochastic constraints, with extensions to adversarial constraints and strongly convex losses.
Mathematical finance , volume=
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Proposes an e-process-based sequential diagnostic that detects misspecified PDE inverse problem fits earlier than standard discrepancy methods while providing anytime-valid type-I error control.
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Constrained Online Convex Optimization without Slater's Condition
A primal-dual framework with adaptive dual regularizer achieves O(√T) regret and O(√T log T) constraint violation for constrained OCO without Slater's condition under stochastic constraints, with extensions to adversarial constraints and strongly convex losses.
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Sequential Structure-Sensitive Residual Diagnostics for PDE Inverse Problems
Proposes an e-process-based sequential diagnostic that detects misspecified PDE inverse problem fits earlier than standard discrepancy methods while providing anytime-valid type-I error control.