Bulletin of the Japan Society for Industrial and Applied Mathematics

Bulletin of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2432-1982

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Volume 31, Issue 4

Displaying 1-11 of 11 articles from this issue

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Foreword

Basics and Applications

Hiroshi Sekigawa

2021 Volume 31 Issue 4 Pages 1
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_1

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Awards

Best Paper Award 2021, Best Author Award 2021

2021 Volume 31 Issue 4 Pages 2-6
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_2

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Invited Papers

Shrinkage Estimation and Superharmonicity

Takeru Matsuda

2021 Volume 31 Issue 4 Pages 7-14
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_7

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In this paper, we review the theory of shrinkage estimation and superharmonicity. First, we introduce Steinʼs paradox on estimation of the normal mean vector and explain its relationship with superharmonicity. Next, we investigate the extension to matrices, in which the shrinkage of singular values plays a key role for exploiting low-rankness. Finally, we illustrate recent developments on shrinkage predictive densities, empirical Bayes marix completion and matrix superharmonicity.

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Formal Language Theory: Between Commutativity and Non-Commutativity

Ryoma Sin'ya

2021 Volume 31 Issue 4 Pages 15-22
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_15

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Formal language theory is the field of study of non-commutative objects so-called “languages” (sets of words). While many problems on languages are difficult to solve due to the non-commutativity, the situation could be drastically changed if we consider a commutative invariant of a language. This paper explains some commutative invariants of languages with concrete examples.

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Industrial Materials

Applied Mathematics in the Automobile Industry

Kohta Suzuno, Kota Maekawa

2021 Volume 31 Issue 4 Pages 23-27
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_23

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Tutorial

Mathematical Cell Biology (4): Dealing with Insufficient Information

Naotoshi Nakamura

2021 Volume 31 Issue 4 Pages 28-33
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_28

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Forum

Promenade of Applied Mathematics(107) Origami Engineering, Origami Printer, Foldable Fan

Ichiro Hagiwara

2021 Volume 31 Issue 4 Pages 34-37
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_34

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‘Mathematical Innovation in Data Scienceʼ by Nippon Steel and The University of Tokyo

Junichi Nakagawa

2021 Volume 31 Issue 4 Pages 38-41
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_38

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Back Matter

JSIAM News

2021 Volume 31 Issue 4 Pages 42
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_42

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Index Vol. 31

2021 Volume 31 Issue 4 Pages 43-44
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_43

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Table of Contents

2021 Volume 31 Issue 4 Pages 45
Published: December 22, 2021
Released on J-STAGE: March 31, 2022

DOIhttps://doi.org/10.11540/bjsiam.31.4_45

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