Persistent Homology and Discrete Fourier Transform: An Application to Topological Musical Data Analysis
暫譯: 持續同調與離散傅立葉變換：應用於拓撲音樂數據分析

Victoria Callet-Feltz is a Doctor of Mathematics. She did her PhD at the Institut de Recherche Mathématiques Avancées in Strasbourg and teaches now at the Institut Nationale des Sciences Appliquées in Strasbourg. In her work, she has studied some links between algebraic topology and music analysis: more specifically, her research areas concern the topological analysis of some musical structures and processes using a simplicial tool called persistent homology. She found that combining this approach with the theory of the discrete Fourier transform could produce consistent results in the field of topological musical data analysis, and especially in automatic classification field. She is also a member of the French association Femmes & Mathématiques, which allows her to take part in mediation activities aimed at promoting the place of women in scientific and technical fields.

維多利亞·卡萊-費爾茲是一位數學博士。她在斯特拉斯堡的高級數學研究所（Institut de Recherche Mathématiques Avancées）完成了博士學位，現在在斯特拉斯堡的國立應用科學學院（Institut Nationale des Sciences Appliquées）任教。在她的研究中，她探討了代數拓撲與音樂分析之間的一些聯繫：更具體地說，她的研究領域涉及使用一種稱為持續同調（persistent homology）的簡形工具對某些音樂結構和過程進行拓撲分析。她發現，將這種方法與離散傅立葉變換（discrete Fourier transform）理論相結合，可以在拓撲音樂數據分析領域產生一致的結果，特別是在自動分類領域。她也是法國女性與數學協會（Femmes & Mathématiques）的成員，這使她能夠參加旨在促進女性在科學和技術領域地位的媒介活動。