Research field (3):
Basic analysis
, Applied mathematics and statistics
, Information theory
Research keywords (7):
ゲーム理論
, 非加法的測度・非線形積分
, Data Science
, 深層学習ネットワーク
, バナッハ空間の幾何学
, 情報エントロピー
, シャープレイ値の公理
Research theme for competitive and other funds (9):
2015 - 2018 非加法的測度による積分を用いた数理モデルの構築とデータ解析への応用
2014 - 2017 Shepp 空間の linear quasi-metric と数列表現
2013 - 2016 不動点理論に関連する種々の非線形問題
2012 - 2016 視覚障害者に対する情報確保支援のためのソフトウェアの開発
2010 - 2013 Lp関数の定める数列空間の線形性と位相
2009 - 2012 数学図形の非視覚的情報交換のための情報構造解析
2001 - 2003 無限直積ガウス測度の確率平行移動
1996 - 1997 無限次元測度の平行移動と絶対連続性
1995 - 1996 確率過程のランダム平行移動と分布の絶対連続性
Show all
Papers (94):
Aoi Honda, Masayuki Itabashi, Simon James. A neural network based on the inclusion-exclusion integral and its application to data analysis. Information Sciences. 2023. 648. 119549-119549
Aoi Honda, Yoshihiro Fukushima. Program design and implementation of inclusion-exclusion integral neural network. Proceedings The 20th International Conference on Modeling Decisions for Artificial Intelligence. 2023. 98-109
Suitable Lp spaces for a k-additive set function. 2023. 457. 20-31
Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki. Constructive Set Function and Extraction of a k-dimensional Element. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2023. 13890 LNCS. 58-69
Kiyoshi Hatakenaka, Aoi Honda. A New Design Method of Cylindrical Bearings Based on a Simplified Thermohydrodynamic Lubrication Model. Tribology Online. 2022
Waveform inspection program and waveform inspection device WAVEFORM INSPECTION PROGRAM AND WAVEFORM INSPECTION DEVICE
波形検査プログラム及び波形検査装置
Books (2):
Modeling Decisions for Artificial Intelligence(共編著)
Springer 2017 ISBN:9783319674216
Non-Additive Measure Theory and Applications
Springer 2013 ISBN:9783319031545
Lectures and oral presentations (201):
非加法的測度が導くL0上の一様構造
(日本数学会年会 2024)
Uniformness of a non-additive measure and the openness (closedness) of a ball for the topology of convergence in non-additive measure
(実解析学シンポジウム2023 2023)
THE OPERATIONS RESEARCH SOCIETY OF JAPAN
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, JAPAN SOCIETY FOR FUZZY THEORY AND INTELLIGENT INFORMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN