Keiya Sakabe’s Homepage

Last updated: Mar. 30, 2025
[日本語]

Keiya Sakabe

I am researching the “optimization” of lower-unbounded convex functions on Euclidean spaces and Hadamard manifolds. Although the minimization of lower-unbounded convex functions may seem useless at first sight, it has recently been shown that the asymptotic behaviors of optimization algorithms, such as gradient descent and accelerated gradient descent, have essential connections to unboundedness characteristics of the objective functions. Interesting applications include minimum-norm point problems, matrix/operator scaling problems, and (semi-)stability determination in geometric invariant theory.

From Apr. 2025, I will be a PhD candidate at Ruhr University Bochum in Germany, supervised by Michael Walter in the Quantum Information group. [university mypage]

Email: ksakabe (at) g.ecc.u-tokyo.ac.jp (soon to be changed)

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