From the 2 of 33 papers with an AI index.
20 citations
- Institut de Mathématiques de ToulouseFR24 papers
- Université Toulouse III - Paul SabatierFR21 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Institut Universitaire de FranceFR4 papers
- Toulouse Mathematics Institute4 papers
- Université Paris CitéFR3 papers
- Université Toulouse - Jean JaurèsFR3 papers
- CEA CadaracheFR2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- Communauté d'universités et établissements de ToulouseFR2 papers
- École Nationale de l’Aviation CivileFR2 papers
33 papers
Early Failure Prediction from Near-Anomaly Detection: A Proactive Approach
Léa Billet, L{é}a Billet, Louise Travé-Massuyès +3
The paper introduces CANARI, an unsupervised method based on the Christoffel function to identify near-anomalies—samples close to the distribution boundary—to predict failures befo…
Key polynomials for simple extensions of valued fields
F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1
The paper refines MacLane’s theory of key polynomials for simple transcendental extensions of rank‑1 valued fields, explicitly describing limit key polynomials and giving upper bou…
CLOE: Christoffel Loss Autoencoder for Anomaly Detection
Léa Billet, Louise Travé-Massuyès, Elodie Chanthery +1
Semi-supervised anomaly detection plays a key role in diverse fields such as process monitoring, healthcare, and finance. However, lightweight methods often struggle with high-dime…
Gradient-enhanced global sensitivity analysis with Poincar{é} chaos expansions
O Roustant, N Lüthen, David Heredia +1
Spectral methods, also known as chaos expansions, are widely used in global sensitivity analysis (GSA), as they leverage orthogonal bases of L2 spaces to efficiently compute Sobol'…
Multivariable CLT for critical points
Jean-Marc Azaïs, Federico Dalmao, Céline Delmas
We prove a multivariate central limit theorem for the numbers of critical points with all possible indexes which lie above a level of a non-necessarily isotropic Gaussian random fi…
Spectral scheme for an energetic Fokker-Planck equation with -distribution steady states
Claudia Negulescu, Hugo Parada
The concern of the present paper is the design of efficient numerical schemes for a specific Fokker-Planck equation describing the dynamics of energetic particles occurring in ther…