Randomized geometric tools for anomaly detection in stock markets - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2023

Randomized geometric tools for anomaly detection in stock markets

Résumé

We propose novel randomized geometric tools to detect low-volatility anomalies in stock markets; a principal problem in financial economics. Our modeling of the (detection) problem results in sampling and estimating the (relative) volume of geodesically non-convex and non-connected spherical patches that arise by intersecting a non-standard simplex with a sphere. To sample, we introduce two novel Markov Chain Monte Carlo (MCMC) algorithms that exploit the geometry of the problem and employ state-of-the-art continuous geometric random walks (such as Billiard walk and Hit-and-Run) adapted on spherical patches. To our knowledge, this is the first geometric formulation and MCMC-based analysis of the volatility puzzle in stock markets. We have implemented our algorithms in C++ (along with an R interface) and we illustrate the power of our approach by performing extensive experiments on real data. Our analyses provide accurate detection and new insights into the distribution of portfolios’ performance characteristics. Moreover, we use our tools to show that classical methods for low-volatility anomaly detection in finance form bad proxies that could lead to misleading or inaccurate results.
Fichier principal
Vignette du fichier
bachelard23a.pdf (757.05 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04223511 , version 1 (29-09-2023)

Identifiants

  • HAL Id : hal-04223511 , version 1

Citer

Cyril Bachelard, Apostolos Chalkis, Vissarion Fisikopoulos, Elias Tsigaridas. Randomized geometric tools for anomaly detection in stock markets. 26th International Conference on Artificial Intelligence and Statistics (AISTATS), Apr 2023, Valencia, Spain. ⟨hal-04223511⟩
17 Consultations
11 Téléchargements

Partager

Gmail Facebook X LinkedIn More