activity
20162026
most citedRiemannian Interior Point Methods for Constrained Optimization on Manifolds

9 citations · 19 across the 10 of their papers we have counts for

collaborators

10 papers

cs.LG2026

Geometric Data Perturbation with Noisy-Anchor Alignment for Privacy-Preserving Collaborative Learning

Keiyu Nosaka, Yamato Suetake, Yuichi Takano +2

Geometric data perturbation enables one-shot representation sharing for privacy-preserving collaborative learning: each participant applies a secret distance-preserving transformat…

cs.LG2024

Data Collaboration Analysis with Orthonormal Basis Selection and Alignment

Keiyu Nosaka, Yamato Suetake, Yuichi Takano +1

Data Collaboration (DC) enables multiple parties to jointly train a model by sharing only linear projections of their private datasets. The core challenge in DC is to align the bas…

math.OC2024

Post-Processing with Projection and Rescaling Algorithms for Semidefinite Programming

Shin-ichi Kanoh, Akiko Yoshise

We propose the algorithm that solves the symmetric cone programs (SCPs) by iteratively calling the projection and rescaling methods the algorithms for solving exceptional cases of…

math.OC2022★ 9 cited

Riemannian Interior Point Methods for Constrained Optimization on Manifolds

Zhijian Lai, Akiko Yoshise

We extend the classical primal-dual interior point method from the Euclidean setting to the Riemannian one. Our method, named the Riemannian interior point method, is for solving R…

math.OC2021

A New Extension of Chubanov's Method to Symmetric Cones

Shin-ichi Kanoh, Akiko Yoshise

We propose a new variant of Chubanov's method for solving the feasibility problem over the symmetric cone by extending Roos's method (2018) of solving the feasibility problem over…

math.OC2021

Completely Positive Factorization by a Riemannian Smoothing Method

Zhijian Lai, Akiko Yoshise

Copositive optimization is a special case of convex conic programming, and it consists of optimizing a linear function over the cone of all completely positive matrices under linea…

math.OC2021

Evaluating approximations of the semidefinite cone with trace normalized distance

Yuzhu Wang, Akiko Yoshise

We evaluate the dual cone of the set of diagonally dominant matrices (resp., scaled diagonally dominant matrices), namely (resp., ), as an approxima…

math.OC2020

Centering ADMM for the Semidefinite Relaxation of the QAP

Shin-ichi Kanoh, Akiko Yoshise

We propose a new method for solving the semidefinite (SD) relaxation of the quadratic assignment problem (QAP), called Centering ADMM. Centering ADMM is an alternating direction me…

math.OC2019★ 6 cited

Polyhedral approximations of the semidefinite cone and their application

Yuzhu Wang, Akihiro Tanaka, Akiko Yoshise

We develop techniques to construct a series of sparse polyhedral approximations of the semidefinite cone. Motivated by the semidefinite (SD) bases proposed by Tanaka and Yoshise (2…

math.OC2016★ 4 cited

LP-based Tractable Subcones of the Semidefinite Plus Nonnegative Cone

Akihiro Tanaka, Akiko Yoshise

The authors in a previous paper devised certain subcones of the semidefinite plus nonnegative cone and showed that satisfaction of the requirements for membership of those subcones…