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Author

Akiko Takeda

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Preprint Oct 2026

Accelerated Proximal Gradient Method for Non-Strongly Convex Time-Varying Optimization

This paper studies time-varying composite optimization problems with convex but not necessarily strongly convex objective functions, on compact domains and with bounded temporal variability. As a baseline, we first analyze the time-varying proximal gradient (TV-PG) method. We show that its asymptotic function value gap...

Tomoya Kamijima, Naoki Marumo, Akiko Takeda · 0 citations
Preprint Jul 2026

Parameter-Free Cubic-Regularized Newton Method: Sharp Complexity and Generalized Smoothness

A variant of the cubic-regularized Newton method for nonconvex optimization that is parameter-free in that it requires no prior knowledge of problem-dependent parameters is analyzed, and an oracle complexity bound is derived for finding an $(varepsilon, \delta)-second-order stationary point.

Shaoying Fang, Naoki Marumo, Akiko Takeda · 1 citation

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