1 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Laboratoire d'Analyse et d'Architecture des SystèmesFR6 papers
- Toulouse School of EconomicsFR6 papers
- Czech Technical University in PragueCZ2 papers
- Centre National d'Études SpatialesFR1 paper
- Communauté d'universités et établissements de ToulouseFR1 paper
- Université Fédérale de Toulouse Midi-PyrénéesFR1 paper
- University of OregonUS1 paper
13 papers
Volume of quasi-homogeneous sublevel sets: Two linear algebra deterministic algorithms with convergence rates
Didier Henrion, Jean B Lasserre
We consider the problem of computing the Lebesgue volume of the unit sublevel set of a positive quasi-homogeneous polynomial. Pushing the Lebesgue measure of an ambient bounding bo…
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…
Gaussian-like fixed point and variational properties of integral discriminants
Jean B Lasserre
We consider partition functions Z(g) = exp (-g(x))dx where g is a nonnegative polynomial action (a degree-2n form) vanishing only at the origin. Such integrals, known as integral d…
Connecting max-entropy with computational geometry, LP and SDP
Jean B Lasserre
We consider the well-known max-(relative) entropy problem (y) = infQP DKL(Q P ) with Kullback-Leibler divergence on a domain R d , and with ''moment'' constra…
An extension of the mean value theorem
Jean B Lasserre
Let (, ) be a measure space with R d and a finite measure on . We provide an extension of the Mean Value Theorem (MVT) in the form It is valid for non co…
Maximal entropy in the moment body
Didier Henrion
A moment body is a linear projection of the spectraplex, the convex set of trace-one positive semidefinite matrices. Determining whether a given point lies within a given moment bo…
Shannon-and von neumann-entropy regularizations of linear and semidefinite programs
Saroj Prasad Chhatoi, Jean B Lasserre
We consider the LP in standard form min {c T x\,: Ax = b; x 0} and inspired by -regularization in Optimal Transport, we introduce its -regularization ''min {c T x + …
A laplace duality for integration
Jean B Lasserre
We consider the integral v(y) = Ky f (x)dx on a domain Ky = {x R d\,: g(x) y}, where g is nonnegative and Ky is compact for all y [0, +). Under some assum…
Approximate D-optimal design and equilibrium measure
Didier Henrion, Jean Bernard Lasserre
We introduce a minor variant of the approximate D-optimal design of experiments with a more general information matrix that takes into account the representation of the design spac…
An infinite-dimensional Christoffel function and detection of abnormal trajectories
Didier Henrion, Jean-Bernard Lasserre
We introduce an infinite-dimensional version of the Christoffel function, where now (i) its argument lies in a Hilbert space of functions, and (ii) its associated underlying measur…
Gaussian mixtures closest to a given measure via optimal transport
Jean-Bernard Lasserre
Given a determinate (multivariate) probability measure , we characterize Gaussian mixtures which minimize the Wasserstein distance to when the mixing p…
A hierarchy of convex relaxations for the total variation distance
Jean-Bernard Lasserre
Given two measures , on Rd that satisfy Carleman's condition, we provide a numerical scheme to approximate as closely as desired the total variation distance between and…
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…