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math.OC2026
Nesterov's accelerated gradient for unbounded convex functions finds the minimum-norm point in the dual space
Keiya Sakabe
We study the behavior of first-order methods applied to a lower-unbounded convex function , i.e., . Such a setting has received little attention since the traj…
math.OC2024
Gradient descent for unbounded convex functions on Hadamard manifolds and its applications to scaling problems
Hiroshi Hirai, Keiya Sakabe
In this paper, we study the asymptotic behavior of continuous- and discrete-time gradient flows of a ``lower-unbounded" convex function on a Hadamard manifold , particularly…