Topological Data Analysis and Industrial Mathematics

整理番号 2025a006
種別 若手・学生研究-研究集会(Ⅰ)
研究計画題目 Topological Data Analysis and Industrial Mathematics
研究代表者 Keunsu Kim(Institute of Mathematics for Industry, Kyushu University.・Assistant Professor)
研究実施期間 2025年8月5日(火) ~ 2025年8月8日(金)
研究分野のキーワード Topological Data Analysis, Topological Optimization
目的と期待される成果 This workshop focuses on the integration of Topological Data Analysis (TDA) and Machine Learning (ML), with particular emphasis on the emerging research trend known as topological optimization. While TDA has traditionally been used as a preprocessing tool for ML (extracting topological features and converting them into vector representations) recent developments propose a more active role for ML within the TDA pipeline. This new paradigm opens up fresh possibilities for mathematical modeling, particularly in tackling complex industrial problems. By bringing together researchers in TDA, optimization, and industrial mathematics, along with professionals from industry, the workshop aims to foster interdisciplinary exchange and explore key challenges in applying TDA to real-world industrial data. The central theme will be topological optimization, where active interaction between TDA and ML allows for more adaptive and expressive data analysis. Presentations and discussions will cover both theoretical foundations and practical applications. In addition, utilizing the organizer’s academic ties in Korea, the workshop will invite Korean mathematicians and industry experts to promote collaboration between Japan and Korea. Through this event, we expect to generate new joint research directions and accelerate the application of TDA and ML to industrial challenges.
組織委員(研究集会)
参加者(短期共同利用)
Keunsu Kim(Institute of Mathematics for Industry, Kyushu University・Assistant Professor)
Jae-Hun Jung(Department of Mathematics, POSTECH・Professor)
Shizuo Kaji(Institute of Mathematics for Industry, Kyushu University・Professor)
Matias de Jong van Lier(Institute of Mathematics for Industry, Kyushu University・Graduate Student)
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