OHARA Atsumi

FacultyElectrical and Electronics Engineering
Teacher OrganizationElectrical and Electronics Engineering
Education and
 Research Organization
Faculty of Engineering /Graduate School of Engineering
PositionProfessor
Last Updated: 18/12/10 19:03

Researcher Profile & Settings

Name

    OHARA Atsumi

Affiliation

  •  Electrical and Electronics Engineering Professor

Education

  • 1989The University of Tokyo Graduate School, Division of Engineering 計数工学専攻(Mathematical Engineering and Information Physics)
  • 1984The University of Tokyo Faculty of Engineering Department of Mathematical Engineering and Information Physics

Research Activities

Published Papers

  • Doubly autoparallel structure on the probability simplex
    A. Ohara and Hideyuki Ishi
    Information geometry and its applications (IGAIA IV, Liblice, Czech Republic, 2016) (Nihat Ay et al. eds.) Springer 323-334 2018 Refereed
  • Information geometry associated with generalized means
    Shinto Eguchi, Osamu Komori and A. Ohara
    Information geometry and its applications (IGAIA IV, Liblice, Czech Republic, 2016) (Nihat Ay et al. eds.) 279-295, Springer 279-295 2018 Refereed
  • A Basic Study on Incentive Pricing for Demand Response Programs based on Social Welfare Maximization
    Hirotaka Takano, Asuka Kudo, Hisao Taoka and A. Ohara
    Journal of International Council on Electrical Engineering 8(1) 135-143 2018 Refereed
  • Conformal Flattening for Deformed Information Geometries on the Probability Simplex
    Atsumi Ohara
    Entropy 20(3) 186-(13) 2018 Refereed
  • On affine immersions of probability simplex and their conformal flattening
    Atsumi Ohara
    Geometric Science of Information (Frank Nielsen and Frederic Barbaresco eds.) Springer Lecture Notes in Computer Science 10589 247-254 2017 Refereed
  • Duality in a maximum generalized entropy model
    Shinto Eguchi, Osamu Komori and Atsumi Ohara
    Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt2014) (Ali Mohammad-Djafari and Frederic Barbaresco eds.) AIP proceedings, vol.1641 297-304 2015 Refereed
  • Curvature integrals and iteration complexities in SDP and symmetric cone programs
    Satoshi Kakihara, A.Ohara, Takashi Tsuchiya
    Computational Optimization and Applications 57(3) 623-665 2014 Refereed
  • Duality of Maximum Entropy and Minimum Divergence
    S. Eguchi, O. Komori, A.Ohara
    Entropy 16 3552-3572 2014 Refereed
  • A Bregman Extension of quasi-Newton updates I: An Information Geometrical framework
    Takafumi Kanamori, A.Ohara
    Optimization Methods and Software 28(1) 96-123 2013 Refereed
  • Information Geometry and Interior-Point Algorithms in Semidefinite Programs and Symmetric Cone Programs
    Satoshi Kakihara, A.Ohara, Takashi Tsuchiya
    Journal of Optimization Theory and Applications 157(3) 749-780 2013 Refereed
  • Geometry on Positive Definite Matrices Induced from V-Potential Function
    A.Ohara, Shinto Eguchi
    Geometric Science of Information (Frank Nielsen and Frederic Barbaresco eds.) Springer Lecture Notes in Computer Science 8085 621-629 2013 Refereed
  • Information Geometry and Interior Point Algorithms
    Satoshi Kakihara, A.Ohara, Takashi Tsuchiya
    Geometric Science of Information (Frank Nielsen and Frederic Barbaresco eds.) Springer Lecture Notes in Computer Science 8085 777-784 2013 Refereed
  • A Bregman Extension of quasi-Newton updates II: Analysis of Robustness Properties
    Takafumi Kanamori, A.Ohara
    Journal of Computational and Applied Mathematics 253(1) 104-122 2013 Refereed
  • Group Invariance of Information Geometry on q-Gaussian Distributions Induced by Beta-Divergence
    A.Ohara, Shinto Eguchi
    Entropy 15 4732-4747 2013 Refereed
  • Conformal Geometry of Escort Probability and its Applications
    A.Ohara, H. Matsuzoe, S.-I. Amari
    Modern Physics Letters B 26(10) 1250063 2012 Refereed
  • Geometry of Deformed Exponential Families: Invariant, Dually-Flat and Conformal
    S.-I. Amari, A.Ohara, H. Matsuzoe
    Physica A 391 4308-4319 2012 Refereed
  • Relationships Between the Legendre Structure in the S2-q Formalism and the Dually-Flat Structure in the Space of Escort Distributions
    Tatsuaki. Wada, A.Ohara, Antonio Scarfone
    Reports on Mathematical Physics 70 181-192 2012 Refereed
  • Geometrical tools for alpha-Voronoi partitions
    A.Ohara, Y. Nagatani
    Mathematics of Distances and Applications (M. Deza, M. Petitjean, K. Markov eds.) 169-173 2012 Refereed
  • Geometry of q-Exponential Family of Probability Distributions
    S. -I. Amari, A.Ohara
    Entropy 13 1170-1185 2011 Refereed
  • Geometry for q-exponential families
    H. Matsuzoe, A.Ohara
    Recent Progress in Differential Geometry and Its Related Fields (T. Adachi, H. Hashimoto and M. J. Hristov eds.): Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields, World Scientific Publ. 55-71 2011 Refereed
  • Information Geometry of q-Gaussian Densities and Behaviors of Solutions to Related Diffusion Equations
    A.Ohara, T. Wada
    Journal of Physics A: Mathematical and Theoretical 43 35002 2010 Refereed
  • A Dually Flat Structure on the Space of Escort Distributions
    A.Ohara, Hiroshi Matsuzoe, Shun-ichi Amari
    IOP Journal of Physics Conference Series: Proc. of Mathematical Aspects of Generalized Entropies and their Applications 201 12012 2010 Refereed
  • Geometric Study for the Legendre Duality of Generalized Entropies and Its Application to the Porous Medium Equation
    A.Ohara
    European Physical Journal B 70 15-28 2009 Refereed
  • Geometric Aspects of a Certain Type of Nonlinear Diffusion Equations
    A.Ohara, T. Wada
    Proc. of the Int. Symp. on Nonlinear Theory and its Applications 488-491 2008 Refereed
  • Geometry of Distributions Associated with Tsallis Statistics and Properties of Relative Entropy Minimization
    A.Ohara
    Physics Letters A 370(42067) 184-193 2007 Refereed
  • Jordan Algebras and Dual Affine Connections on Symmetric Cones
    K. Uohashi, A.Ohara
    Positivity 8(4) 369-378 2004 Refereed
  • Geodesics for Dual Connections and Means on Symmetric Cones
    A.Ohara
    Integral Equations and Operator Theory 50 537-548 2004 Refereed
  • Gain-Scheduled Controller Design Based on Descriptor Representation of LPV Systems: Application to Flight Vehicle Control
    Izumi Masubuchi, Jun Kato, Masami Saeki, A.Ohara
    Proc. of the 43rd IEEE Conf. on Decision and Control 815-820 2004 Refereed
  • An Algebraic Characterization of Covariance Extension Problem and Its Applications
    A.Ohara
    Proc. of the 42nd IEEE Conf. on Decision and Control 5795-5800 2003 Refereed
  • On Solvability and Numerical Solutions of Parameter-Dependent Differential Matrix Inequality
    A.Ohara, Yasuro Sasaki
    Proc. of the 40th IEEE Conf. on Decision and Control 3593-3594 2001 Refereed
  • LPV Modeling and Gain Scheduled Control of Re-entry Vehicle in Approach and Landing Phase
    A.Ohara, Yasuhiro Yamaguchi, Toahiki Morito
    Proc. of AIAA Guidance, Navigation and Control Conference paper No.2001-4038 (11pp) 2001 Refereed
  • Flight Controller Design Using IQC to Satisfy Stability Margin Requirements of MIMO System
    A.Ohara, Yasuhiro Yamaguchi, Toahiki Morito
    Proc. of AIAA Guidance, Navigation and Control Conference paper No.2001-4104 (8pp) 2001 Refereed
  • Gain Scheduled Flight Controller Design to Satisfy Stability Margin Requirements of MIMO System
    Yasuhiro Yamaguchi, A.Ohara
    Proc. of INTERMAC 2001 Joint Technical Conference OSA-01 1002 (10pp) 2001 Refereed
  • Foliations and Divergences of flat statistical manifolds
    K. Uohashi, A. Ohara, T. Fujii
     30(3) 403-414 2000 Refereed
  • 1-conformally flat statistical submanifolds
    K. Uohashi, A. Ohara, T. Fujii
    Osaka Journal of Mathematics 37(2) 501-507 2000 Refereed
  • Robust Control Design via H infinity Problem with Complex Constant Weights Which Satisfies IQC Conditions
    Yasuhiro Yamaguchi, Masahiro Ohno, Takashi Hata, A.Ohara, Kanako Matsumoto
    Proc. of the 3rd Asian Control Conference 262-267 2000 Refereed
  • Information Geometric Analysis of an Interior Point Method for Semidefinite Programming
    A.Ohara
     1999 Refereed
  • LMI-based controller Synthesis : A Unified Formulation and Solution(共著)
    I. Masubuchi, A. Ohara, N. Suda
     8(8) 669-686 1998 Refereed
  • Information Geometric Analysis of an Interior Point Method for Semidefinite Programming
    A.Ohara
    RIMS Kokyuroku(1004) 71-89 1997 Not refereed
  • H infinity Control for Descriptor Systems : A Matrix Inequalities Approach
    I. Masubuchi, Yoshiyuki Kamitane, A.Ohara, N. Suda
     33(4) 669-673 1997 Refereed
  • Dualistic Differential Geometry of Positive Definite Matrices and its Applications to Related Problems
    A. Ohara, N. Suda, S.-I. Amari
    (247) 31-53 1996 Refereed
  • Robust Multi-objective Controller Design via Convex Optimization
    Izumi Masubuchi, A.Ohara, Nobuhide Suda
    Proc. of the 35th IEEE Con. on Decision and Control 263-264 1996 Refereed
  • LMI-based Output Feedback Controller Design
    Izumi Masubuchi, A.Ohara, Nobuhide Suda
    Proc. of the 1995 American Control Conference 3473-3477 1995 Refereed
  • Differentisl Geometric Structures of Stable State Feedback Systems with Dual Connections
    A.Ohara, S.-I. Amari
    Kybernetika 30(4) 369-386 1994 Refereed
  • Dual Connections towards Information Geometry of Stable State Feedback Systems
    A.Ohara
    RIMS Kokyuroku 822 14-26 1993 Not refereed
  • Quadratic Stabilization and Robust Disturbance Attenuation Using Parametrization of Stabilizing state Feedback Gains-Convex Optimization Approach-
    A.Ohara, I. Masubuchi, N. Suda
    Proc. of 1993 American Control conference 2816-2820 1993 Refereed
  • Geometric Structures of Stable State Feedback Systems
    A.Ohara, T. Kitamori
    IEEE Trans. on Automatic Control 38(10) 1579-1583 1993 Refereed
  • Distances on Grammians and Their Applications
    A.Ohara, T. Kitamori
    Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing I, Mita Press, Tokyo 1992 Refereed
  • A Simple q-Markov COVER Algorithm for SISO Discrete-Time Systems based on State Covariance Assignment
    A.Ohara, I. Masubuchi, N. Suda
    Proc. of 1992 IEEE Int. Symp. on Circuits and Systems 2394-2397 2394-2397 1992 Refereed
  • Differential Geometric Structures of stable State Feedback Systems with Dual Connections
    A.Ohara, S.-I. Amari
    Proc. of the 2nd IFAC Workshop on System structure and Control 176-179 176-179 1992 Refereed
  • Relations between a Parametrization of Stabilizing State Feedback Gains and Eigenvalue Locations
    A.Ohara, S. Nakazumi, N. Suda
    Systems and Control Letters 16 261-266 1991 Refereed
  • Geometric Structures of Stable State Feedback Systems
    A.Ohara, T. Kitamori
    Proc. of the 29th IEEE Conf. on Decision and Control 2494-2499 1990 Refereed

Books etc

  • Mathematical Aspects of Generalized Entropies and Their Applications 7?9 July 2009, Kyoto, Japan
    Hiroki Suyari, A.Ohara, Tatsuaki Wada
    IOP Publishing 2010
  • Geometric Theory of Information
    A.Ohara, Shinto Eguchi
    Chapter 2: Geometry on Positive Definite Matrices Deformed by V-Potentials and Its Submanifold Structure
    Springer 2014
  • Matrix Inequality Approach to Control System Design (in Japanese)
    Atsumi Ohara
    Corona Publishing Co., Ltd. Mar.  2016
  • Information geometry on positive definite matrices (1),(2),(3) Iwanami Data Science vol.2, 3, 4 (in Japanese)
    A. Ohara, Takashi Tsuchiya
    Iwanami Shoten, Publishers
     2016

Conference Activities & Talks

  • Doubly autoparallelism on the space of probability distrubutions
    Atsumi Ohara and Hideyuki Ishi
    International conference on statistical physics 2017 Jun.  2017
  • Doubly autoparallel structure on statistical manifolds and its applications
    Atsumi Ohara and Hideyuki Ishi
    Information geometry and its applications IV Jun.  2016
  • Information geometry on multivariate generalized Gaussian densities and its group invariance
    Computational information geometry for image and signal processing Sep.  2015
  • On representing functions of probability distributions and conformal flattening
    Workshop on information geometry for machine learning Dec.  2014
  • Construction of Legendre dualities for generalized entropies via Conformal flattening and its applications
    Atsumi Ohara
    International Conference in Statistical Physics 2014 Jul.  2014
  • Conformal flattening and generalized entropies: an affine differential geometric approach
    Atsumi Ohara
    The Second International Workshop on Information Geometry and Affine Differential Geometry Apr.  2014
  • Geometry on Positive Definite Matrices Induced from V-Potential Function
    A. Ohara, Shinto Eguchi
    Geometric Science of Information Aug.  2013
  • Information Geometry and Interior Point Algorithms
    Satoshi Kakihara, A. Ohara, Takashi Tsuchiya
    Geometric Science of Information Aug.  2013
  • Geometrical Tools for alpha-Voronoi partitions
    Atsumi Ohara, Yuya Nagatani
    Mathematics of Distances and Applications Jul.  2012
  • Deformation of the Legendre structures and gradient flows on the simplex
    Atsumi Ohara
    The International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry Mar.  2012
  • Study of iteration-complexity for the central trajectory via curvature of information geometry
    Atsumi Ohara, Takashi Tsuchiya
    INFORMS Annual Meeting Nov.  2011
  • Conformal geometry of escort probability and its application to alpha-Voronoi partitions
    Atsumi Ohara
    International Conference in Statistical Physics 2011 Jul.  2011
  • Computation, complexity and curvature in information geometry
    A. Ohara, Takashi Tsuchiya
    The Third Conference on Information Geometry and its Applications Aug.  2010
  • Information Geometric Structure on Positive Definite Matrices and its Applications
    Asumi Ohara
     Feb.  2010