114 citations · 542 across the 90 of their papers we have counts for
114 papers
Scalable anomaly detection via a univariate Christoffel function
Florian Grivet, Didier Henrion, Jean-Bernard Lasserre +1
Anomaly detection plays a critical role in identifying unusual patterns across domains such as fraud detection, network intrusion, and system fault diagnosis. Recently, Christoffel…
Least multivariate Chebyshev polynomials on diagonally determined sets
Mareike Dressler, Simon Foucart, Mioara Joldes +3
We consider a new multivariate generalization of the classical monic (univariate) Chebyshev polynomial that minimizes the uniform norm on the interval . Let be the…
Uncertainty Quantification of Set-Membership Estimation in Control and Perception: Revisiting the Minimum Enclosing Ellipsoid
Yukai Tang, Jean-Bernard Lasserre, Heng Yang
Set-membership estimation (SME) outputs a set estimator that guarantees to cover the groundtruth. Such sets are, however, defined by (many) abstract (and potentially nonconvex) con…
A Generalized Pell's equation for a class of multivariate orthogonal polynomials
Jean-Bernard Lasserre, Yuan Xu
We extend the polynomial Pell's equation satisfied by univariate Chebyshev polynomials on [--1, 1] from one variable to several variables, using orthogonal polynomials on regular d…
Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem
Adrien Le Franc, Victor Magron, Jean-Bernard Lasserre +2
AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical fo…
Polynomial Optimization, Certificates of Positivity, and Christoffel Function
Jean-Bernard Lasserre
We briefly recall basics of the Moment-SOS hierarchy in polynomial optimization and the Christoffel-Darboux kernel (and the Christoffel function (CF)) in theory of approximation an…