Laboratoire Jean Kuntzmann

Localization coefficients of functions with applications in partial differential equations

Abstract We identify shortcomings in two popular measures of localization of functions: the $$L^p\text {-}L^q$$ L p - L q participation ratio and the mass concentration comparison. We then introduce a novel localization measure for functions on bounded subsets of $$\varvec{R}^d$$...

Advancing conflict research and response through satellite-derived data

Abstract With armed conflicts at a historic high and attacks on civilians rising 1 , understanding the evolving nature of conflict is a critical research priority. The current paradigm in conflict research relies heavily on text-based data, using fatalities as the primary—and oft...

Active learning strategies for the estimation of a feasible set defined from a vector output black-box simulator

Many industrial problems require the use of black-box numerical simulators, for which it is essential to determine the set of so-called feasible input parameters. A set of parameters is feasible if the output of the code on these parameters satisfies given constraints, for exampl...