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Other departments in Institute of Mathematics for Industry ›Faculties at Kyushu University ›
Hayato Waki, Professor
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Professor Hayato Waki of the Advanced Optimization and Quantum Mathematics Division conducts research and education in optimization and mathematical programming. The professor is particularly interested in optimization problems involving continuous variables. The professor previously worked on developing algorithms for optimization problems, but is now interested in using the properties of optimization problems to investigate the structure and properties of the phenomena and problems they model.
Hirokazu Anai, Professor
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Professor Hirokazu Anai's lab conducts research that tackles challenges facing industry and society using mathematical technologies and artificial intelligence such as machine learning. The lab aims for innovation in the mathematical technologies themselves, which is necessary for solving problems and creating new value. Centered on research into algorithms and applications of computer algebra, the lab has also continued work on automatically solving mathematical problems. The lab aims to discover mathematics within applications, feed it back to mathematics, and create new mathematics.
Masatoshi Kitagawa, Associate Professor
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Associate Professor Masatoshi Kitagawa studies the representation theory of Lie groups and Lie algebras. The problem of studying how a representation of a group behaves when restricted to a subgroup is called the branching problem. This problem is approached using the structure of the spaces on which representations are realized and the algebras that act on them.
Hayato Waki, Professor
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This optimization and mathematical programming lab (Professor Hayato Waki) studies optimization problems involving continuous variables. The lab previously published papers on developing algorithms for optimization problems, but it is now interested in using the properties of optimization problems to investigate the structure of the phenomena and problems they model. The lab works on semidefinite programming problems and studies, for example, the relationship between the convergence rate of the method of alternating projections and the properties of the problem.
Masatoshi Kitagawa, Associate Professor
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Associate Professor Masatoshi Kitagawa studies the representation theory of Lie groups, in particular a problem known as branching laws. A branching law concerns how an irreducible representation of a group behaves when it is restricted to a subgroup. Using modules over Lie algebras and D-modules on algebraic varieties as tools, the lab studies the structure of representations algebraically.
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