Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Search
Advanced search
OR
Browse
Search
Volume 31, Issue 3
Displaying 1-11 of 11 articles from this issue
Show all abstracts
    • |<
    • <
    • 1
    • >
    • >|
Foreword
Special Articles by JSIAM Fellows
Awards
Invited Papers
  • Algebraic Geometry and Statistical Theory
    Sumio Watanabe
    2021 Volume 31 Issue 3 Pages 7-14
    Published: September 22, 2021
    Released on J-STAGE: December 26, 2021
    DOIhttps://doi.org/10.11540/bjsiam.31.3_7
    JOURNAL FREE ACCESS
    Show abstractHide abstract

    Many statistical models and learning machines are not regular but singular, hence the conventional theory using asymptotic normality can not be employed in analysis of such models. This paper explains the new mathematical theory which enables us to clarify the asymptotic behaviors of the generalization loss and the free energy based on algebraic geometry. Also the short history how this theory has been applied to real world problems is introduced.

    View full abstract
    Download PDF (710K)
  • Counterexamples in Numerical Analysis
    Norikazu Saito
    2021 Volume 31 Issue 3 Pages 15-22
    Published: September 22, 2021
    Released on J-STAGE: December 26, 2021
    DOIhttps://doi.org/10.11540/bjsiam.31.3_15
    JOURNAL FREE ACCESS
    Show abstractHide abstract

    This paper reviews some counterexamples in numerical analysis for solving partial differential equations. We point out the danger of having a preconception regarding the fact that a numerical solution is correct. Counterexamples, on the other hand, are interesting research subjects by themselves and could give new insights.

    View full abstract
    Download PDF (12418K)
Industrial Materials
Tutorial
Forum
Back Matter
    • |<
    • <
    • 1
    • >
    • >|
feedback
 Top