Institut de Mathématiques de Bordeaux

High-Dimensional Analysis of Ridge Regression for Non-identically Distributed Data with a Variance Profile

Abstract. High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate high-dimensional regression models for independent but non-identically distributed data. To this end, we suppose that...

3D thermal modeling of Lascaux Cave: Dynamics of air circulation and implications for its microclimate

Understanding the thermal dynamics of painted caves, such as the Lascaux Cave, is essential for predicting and preventing deterioration of walls and artworks, particularly through processes such as condensation. As a first step, heat conduction within the surrounding rock mass wa...

On Hyperbolic Approximations for a Class of Dispersive and Diffusive-Dispersive Equations

Abstract We introduce novel approximate systems for dispersive and diffusive-dispersive equations with nonlinear fluxes. For purely dispersive equations, we construct a first-order, strictly hyperbolic approximation. Local well-posedness of smooth solutions is achieved by constru...

Bioelectrical Impedance in Cardiovascular Health

Bioelectrical impedance (BI) is gaining significant attention for its potential in cardiovascular health monitoring and early disease detection. On the basis of the principles of tissue conductivity and body composition, BI operates by applying a low-amplitude alternating current...