Isao Yamada, Associate Professor
Contact Research Teaching Biography Photo
Contact Ｉnformation
Address:
Department of Communications and Integrated Systems,
Tokyo Institute of Technology
Ookayama, Meguro-ku,
Email: isao[atmark]comm.ss.titech.ac.jp
TEL: +81-3-5734-2503
FAX: +81-3-5734-2905
Office: Room 502 on the 5th floor of the South Bldg. 3 in Ookayama
Campus
Research and Publications
I have been enjoying as well as fighting the problems mainly in the following areas:
A. Mathematical/Multidimensional/Adaptive/Statistical/
Signal Processing including Wavelet Theory and applications
Major part of my dessertation (in Japanese) was later
published as
A Multidimensional
Isomorphic Operator and Its Properties --
A Proposal of Finite-Extent Multi-Dimensional Cepstrum,
IEEE
Trans on Signal Processing, vol.42,(1994)pp.1766-1785.
In this paper, we present a computationally efficient bridge
Between the world dominated by
convolutive operation and the
Standard signal processing world (i.e. standard linear space).
For other contribution in multidimensional
systems theory and
signal processing, see for example:
Algebraic multidimensional phase unwrapping and zero distribution
of complex polynomials
- Characterization of multivariate stable polynomials,
IEEE
Trans on Signal Processing, vol.46,(1998)pp.1639-1664.
On a
recent development of the algebraic phase unwrapping problem
for continuous-time systems, see example：
Algebraic Phase Unwrapping and Zero Distribution of Polynomial for
Continuous-Time Systems, IEEE Trans. Circuits and Systems –I,
pp.298—304,
vol.49, no.3, 2002,
(with Prof.N.K.Bose,Penn State
researcher
in the field of the multidimensional systems theory and
the
author of the books:
Applied
Multidimensional Systems Theory[Van Nostrand, 1982],
Digital
Filters: Theory and Applications[Krieger,1993],
Multidimensional
Systems: Progress, Directions and Open Problems,
[D.
Reidel, 1985].
Neural
Networks Fundamentals: Graphs, Algorithms and Applications,
[McGraw-Hill,
1995].)
On a
design problem of multidimensional filter, see for example a
Joint
paper (with my former student H.Hasegawa and Prof.K.Sakaniwa):
A Simple
Least-squares Design of MD IIR Filters with Fixed Separable
Denominator Based on Multivariate Division
Algorithm, in
Multidimensional Systems and Signal
Processing, 339-358 (2000)
We also developed a sound mathematical
foundation for the matrix
valued wavelet. See a joint paper with my Ph.D
student K.Slavakis:
Biorthogonal
Unconditional Bases of Compactly Supported Matrix
Valued
Wavelet, Numerical Functional Analysis and Optimization,
vol.21(1&2), pp.223-253 (2001).
On the robust adaptive filtering problem,
see for example an upcoming
Paper
(with my students K.Slavakis and K.Yamada):
An
Efficient Robust Adaptive Filtering algorithm Based on Parallel
Subgradient Projection Techniques, IEEE Trans on Signal Processing
B. Optimization Theory and Fixed Point Theory with their Applications
to
Broad Range of Signal Processing Problems,
See
for example the following monograph:
The hybrid steepest descent method for the variational
inequality problem over the intersection of fixed point sets of
Nonexpansive Mappings, in Inherently Parallel Algorithm in Feasibility and Optimization and their Applications [See the excellent authors (except myself) in the book] (D.Butnariu, Y.Censor and S.Reich, Eds.) Studies in Computational Mathematics, Elsevier 2001(It is my great honor to be with most outstanding mathematicians in these challenging fields. [Photo at the Technion Israel, by Prof.Bertsekas, MIT] (In the photo, the gentleman wearing a blue shirt in the center of the front line is Prof.Frank Deutsch of Penn State).
![It is my great honor to be with most outstanding mathematicians in these challenging fields. [Photo at the Technion Israel, by Prof.Bertsekas, MIT]](haifa_2000.jpg){kind=link}
On a recent progress of the hybrid steepest descent method,
See for example an upcoming paper (with
my former student N.Ogura)
A
Non-strictly convex minimization over the fixed point set of
the
asymptotically shrinking nonexpansive mapping, in
Numerical
Functional Analysis and Optimization,
On
further progresses on this method, a series of papers will be
Published within a couple of years.
C. Neural Network and Its Learning Algorithms,
We proposed a learning algorithm with guarantee of convergence to
globally optimal solutions essentially based on the following techniques:
(a) A Global Optimization Algorithm based on Excluding Hypersphers
(with Prof.K.Sakaniwa and my former student T.Miyamura),
Proc. of 1995 European Conference on Circuit Theory and Design, 1995.
(b) A Fast Neural Network Learning with Guaranteed Convergence to Zero
System Error(with my former student T. Ajimura and Prof.K. Sakaniwa),
IEICE Trans. on Fundamentals, vol.E79-A, no.9 (1996).
Moreover we proposed an associative memory that can recall the nearest
pattern from input (Note: Such an important function can not be achieved by the simple Hopfield network).
See a paper: An Associative Memory Neural Network to Recall Nearest Pattern from Input(with my former student S. Iino and Prof.K. Sakaniwa),
IEICE Transactions Fundamentals, E82-A, No. 12, (1999).
D. Information and Communication Theory.
We proposed a simple algebraic upper bound for the number of code words
of Certain multilevel codes. See a paper: An Algebraic Upper Bound for
Eneregy Constrained M-ary Codes (with my former student K.Wattanawong
and Prof.K.Kurosawa), Proc. of International Symposium on Information
Theory and Its Applications, 1992.
Teaching Courses
I am trying to introduce
the essential ideas in simple ways !
1. Foundations of Functional
Analysis [for Undergraduates]
(since 2004/4)
2．Communication Theory - Basic Information and Coding Theory
[for Undergraduates] (since 1994/10)
3. Advanced Information and Communication Theory(with Prof.Sakaniwa and Prof.Uyematsu) [for Graduate students](since 1994/4)
Biographical Ｓketch
Isao YAMADA was born in Tokyo, Japan, on
September 26, 1962. He received the B.E. degree in computer science in 1985
from
His current research interests are in Mathematical/
Multidimensional/ Statistical/ Adaptive/ Array Signal Processing, Image Processing,
Optimization Theory, Nonlinear Inverse Problem, Information and Coding Theory
and Neural Computing. He received the Excellent Paper
Awards, in 1990, 1994 and 2006, and the Young Researcher Award, in 1992,
from IEICE (Institute of
Electronics, Information and Communication Engineers), the ICF Research Award in 2004,
from ICF (International
Communications Foundation) and the DoCoMo Mobile Science Award (Fundamental Science Division) in 2005,from
MCF (Mobile Communication Fund). Dr. Yamada is a member of the IEEE (