Faculty Introduction

SATOH, Hideki

Professor
Research Fields
Nonlinear science
Academic Background
M.E. degrees in Electronics and Communication Engineering
Subjects in Charge (Undergraduate)
Probability Theory and Statistics，Operations Research，Theory of Network Communication，Speech and music processing
Degree
Ph.D. degree in Information Science

Message for Students

I hope you feel interest in various phenomena in the world.

Research Contents

A macroscopic structure was analyzed for a system composed of multiple elements the dynamics of which are affected by the distribution of the elements. First, the moment vector equation (MVE) is derived. The average probability density function (pdf) in a steady state is derived using eigen analysis of the coefficient matrix of the MVE. The macroscopic structure of the system and the mechanism that provides the average pdf and the transient response are then analyzed using eigen analysis.

These mothods have been applied to sparse nonlinear optimization problems, and they have been used to solve a recipe optimization problem.

Attractive Factors of My Research

We can obtain not only the transient and stationary properties of the system but also the macroscopic structure and the mechanism providing the properties for arbitrary high-dimensional systems.

Achievements

My main achievement is journal papers (20 papers).

Major Books and Papers

  • H. Satoh, “Eigen Analysis of Moment Vector Equation for Interacting Chaotic Elements Described by Nonlinear Boltzmann Equation”, IEICE Trans. Fundamentals, vol. E97-A, no. 1, pp. 331–338, Jan. 2014.
  • H. Satoh,”Eigen analysis of space embedded equation in moment vector space for multi-dimensional chaotic systems”, IEICE Trans. Fundamentals, vol. E96-A, no. 2, pp. 600–608, Feb. 2013.
  • H. Satoh,”Global Nonlinear Optimization Based on Wave Function and Wave Coefficient Equation”, IEICE Trans. Fundamentals, vol. E93-A, no. 1, pp. 291–301, Jan. 2010.
  • H. Satoh, “Global Nonlinear Optimization Based on Eigen Analysis of Schrodinger-type Equation”, IEICE Trans. Fundamentals, vol. E93-A, no. 8, pp. 1476–1485, Aug. 2010.