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math.OC2026
On the Complexity of Finding Stationary Points of p-th Order Hölder Smooth Functions in One Dimension
Huanjian Zhou, Taiji Suzuki
We study the query complexity of finding an an -stationary points of a one-dimensional non-convex function whose -th derivative is -Hölder continuous. We deter…
math.OC2026
Wasserstein Saddle-Free Newton: Saddle Escape and Local Spectral Convergence
Razvan-Andrei Lascu, Taiji Suzuki
Extending saddle-free Newton methods to Wasserstein space requires controlling Hessian dependent operators along nonlinear transport trajectories and accounting for a Hessian spect…