1 citations · 1 across the 6 of their papers we have counts for
6 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…
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…
Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem
Didier Henrion, Adrien Le Franc, Victor Magron
We describe a parametric univariate quadratic optimization problem for which the moment-SOS hierarchy has finite but increasingly slow convergence when the parameter tends to its l…
Solving moment and polynomial optimization problems on Sobolev spaces
Didier Henrion, Alessandro Rudi
Using standard tools of harmonic analysis, we state and solve the problem of moments for non-negative measures supported on the unit ball of a Sobolev space of multivariate periodi…