Data depth: computation, applications, and beyond

Pavlo Mozharovskyi (1, 2, 3, 4)

1 IP Paris - Institut Polytechnique de Paris
2 Télécom Paris
3 IDS - Département Images, Données, Signal
4 S2A - Signal, Statistique et Apprentissage

Keywords: Data depth; Computational statistics; Applications; Robustness; Halfspace depth; Anomaly detection; Outliers; Functional data; Curve data; Approximation; Missing data; Imputation; Frontier analysis; Data envelopment analysis; Algorithms; Optimization

Keywords: Profondeur de données; Statistique computationnelle; Applications; Robustesse; Detection d'anomalies; Valeurs aberrantes; Données fonctionnelles; Approximation; Données manquantes; Imputation; Analyse de frontière; Algorithmes; Optimisation

Domains: Statistics [stat]; Mathematics [math]; Statistics [math.ST]; Computer Science [cs]; Machine Learning [cs.LG]

Pavlo Mozharovskyi. Data depth: computation, applications, and beyond. Statistics [stat]. Institut Polytechnique de Paris, 2022. ⟨tel-03780415⟩