An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists

Une introduction à l'analyse topologique des données pour data scientist : aspects fondamentaux et pratiques

Frédéric Chazal (1) , Bertrand Michel (1, 2)

1 DATASHAPE - Understanding the Shape of Data
2 LMJL - Laboratoire de Mathématiques Jean Leray

Topological Data Analysis (TDA)is a recent and fast growing field providing a set of new topological and geometric tools to infer relevant features for possibly complex data. This paper is a brief introduction, through a few selected topics, to basic fundamental and practical aspects of TDA for non experts.

Domaines: Statistiques [math.ST]; Apprentissage [cs.LG]; Machine Learning [stat.ML]; Topologie algébrique [math.AT]

Frédéric Chazal, Bertrand Michel. An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists. Frontiers in Artificial Intelligence, 2021, Front. Artif. Intell., ⟨10.3389/frai.2021.667963⟩. ⟨hal-01614384⟩