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: 18/04/10 20:13

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
  • 1984The University of Tokyo Faculty of Engineering

Research Activities

Published Papers

  • 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
  • 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
  • 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
  • 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. 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