11 citations · 19 across the 16 of their papers we have counts for
4 papers · 1 filter
Augmented Lagrangian methods for convex optimization with priority constraints via an infeasibility control framework
Yuya Yamakawa, Shota Yamanaka, Nobuo Yamashita
We consider convex optimization problems with prioritized equality constraints, which may be infeasible. In many applications, such as network optimization and image reconstruction…
An uncertainty model for positive-valued parameters with application to robust optimization
Tatsuya Tanaka, Huimin Li, Shota Yamanaka +2
Many practical optimization problems involve uncertain parameters that are strictly positive. However, the most common uncertainty sets used in robust optimization are the box and…
Duality of nonconvex optimization with positively homogeneous functions
Shota Yamanaka, Nobuo Yamashita
We consider an optimization problem with positively homogeneous functions in its objective and constraint functions. Examples of such positively homogeneous functions include the a…
Duality of optimization problems with gauge functions
Shota Yamanaka, Nobuo Yamashita
Recently, Yamanaka and Yamashita proposed the so-called positively homogeneous optimization problem, which includes many important problems, such as the absolute-value and the gaug…