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math.OC2026
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…
math.OC2024
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…
math.OC2024
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…