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.
In contrast, generalized smoothness remains applicable by empirically estimating the link function ℓ (Zhang et al., 2020b)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.OC 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
support 1representative citing papers
citing papers explorer
-
Mirror Descent Under Generalized Smoothness
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.