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math.OC2025
The Adaptive Complexity of Finding a Stationary Point
Huanjian Zhou, Andi Han, Akiko Takeda +1
In large-scale applications, such as machine learning, it is desirable to design non-convex optimization algorithms with a high degree of parallelization. In this work, we study th…
math.OC2024
Projection onto hyperbolicity cones and beyond: a dual Frank-Wolfe approach
Takayuki Nagano, Bruno F. Lourenço, Akiko Takeda
We discuss the problem of projecting a point onto an arbitrary hyperbolicity cone from both theoretical and numerical perspectives. While hyperbolicity cones are furnished with a g…