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Mirror Descent Under Generalized Smoothness

math.OC · 2025-02-02 · conditional · novelty 7.0

The paper introduces ℓ*-smoothness, a norm-dual generalization of ℓ-smoothness, and proves classical O(1/T), O(1/T²), and Õ(1/√t) rates for mirror descent, accelerated mirror descent, optimistic mirror descent, mirror prox, and stochastic mirror descent.

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  • Mirror Descent Under Generalized Smoothness math.OC · 2025-02-02 · conditional · none · ref 6

    The paper introduces ℓ*-smoothness, a norm-dual generalization of ℓ-smoothness, and proves classical O(1/T), O(1/T²), and Õ(1/√t) rates for mirror descent, accelerated mirror descent, optimistic mirror descent, mirror prox, and stochastic mirror descent.