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math.OC2026
A Projection Anderson Acceleration Algorithm for Non-quasi-monotone Variational Inequalities with Hölder Continuous Terms
Xiaojun Chen, C. T. Kelley, Lei Wang
This paper proposes a Projection Anderson Acceleration (PAA) algorithm for variational inequality (VI) problems, where the underlying function is expressed as a finite sum of Hölde…
math.OC2026
An Adaptive Smoothing Algorithm for Non-Lipschitz Optimization on Manifolds with Complexity Guarantees
Lei Wang, Xiaojun Chen
We study a class of optimization problems on Riemannian manifolds, where the objective function consists of a smooth term and quasi-norm type penalties with exponent …
math.OC2026
Complexity of Projected Gradient Methods for Strongly Convex Optimization with Hölder Continuous Gradient Terms
Xiaojun Chen, C. T. Kelley, Lei Wang
This paper studies the complexity of projected gradient descent methods for a class of strongly convex constrained optimization problems where the objective function is expressed a…