Tomohiko Mizutani / 水谷 友彦Lecture Department of Mathematical and Systems Engineering Shizuoka University - Email address
- mizutani.t@shizuoka.ac.jp
- tomohiko.mizutani@gmail.com
- Postal address: 3-5-1 Johoku, Naka-ku, Hamamatsu City, 432-8561, Japan
- Office: Room 519, Building 5
My current research interests are in optimization and data mining. Papers**Convex programming based spectral clustering**, Tomohiko Mizutani, arXiv, May, 2018.**Efficient preconditioning for noisy separable NMFs by successive projection based low-rank approximations**, Tomohiko Mizutani and Mirai Tanaka, Machine Learning, 107(4), pp. 643-673, 2018. [Preprint | Slide | Poster]
**Robustness analysis of preconditioned successive projection algorithm for general form of separable NMF problem**, Tomohiko Mizutani, Linear Algebra and its Applications, 497, pp. 1-22, 2016. [Preprint]
**Spectral clustering by ellipsoid and its connection to separable nonnegative matrix factorization**, Tomohiko Mizutani, arXiv, March, 2015.
**Ellipsoidal rounding for nonnegative matrix factorization under noisy separability**, Tomohiko Mizutani, Journal of Machine Learning Research, 15, pp. 1011-1039, 2014. [Preprint]
**Correlative sparsity structures and semidefinite relaxations for concave cost transportation problems with change of variables**, Tomohiko Mizutani and Makoto Yamashita, Journal of Global Optimization, 56(3), pp. 1073-1100, 2013. [Preprint]
**Constructing polyhedral homotopies on grid-of-clusters**, Tomohiko Mizutani and Makoto Yamashita, Pacific Journal on Optimization, 7(2), pp. 369-386, 2011. [Preprint]
- DEMiCs: A software package for computing the mixed volume via dynamic enumeration of all mixed cell, Tomohiko Mizutani and Akiko Takeda, Software for Algebraic Geometry, IMA Volumes in Mathematics and its Applications, 148, Springer, New York, M. Stillman, N. Takayama and J. Verschelde (eds.), pp. 59-79, 2008. [Preprint | Software]
**Dynamic enumeration of all mixed cells**, Tomohiko Mizutani, Akiko Takeda and Masakazu Kojima, Discrete and Computational Geometry, 37(3), pp. 351-367, 2007. [Preprint]
**PHoM -- A polyhedral homotopy continuation method for polynomial systems**, Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Katsuki Fujisawa and Tomohiko Mizutani, Computing, 73(1), pp. 57-77, 2004. [Preprint]
**On the face-lattice of the metric polytope**, Antoine Deza, Komei Fukuda, Tomohiko Mizutani and Cong Vo, Lecture Notes in Computer Science 2866 Springer-Verlag, Berlin, pp. 118-128, 2003. [Preprint]
PhD ThesisFinding all mixed cells for polyhedral homotopies, Tokyo Institute of Technology, 2008. Short BiographyI received my PhD degree from the mathematical and computing sciences department of Tokyo Institute of Technology in 2008, and my thesis advisor was Prof. Masakazu Kojima. During my PhD study, I had an opportunity to study at the mathematics department of Michigan State University under Prof. Tien-Yien Li. I spent one year as a postdoc at Tokyo Institute of Technology. My PhD and postdoc studies were supported by Japan Society for the Promotion Science (JSPS) as DC2 and PD. After one year postdoc, I moved to the information system creation department of Kanagawa University in 2009. In 2014, I moved to the industrial engineering and management department of Tokyo Institute of Technology. |