Jensen's inequality is a powerful mathematical tool and one of the workhorses in statistical learning. Its applications therein include the EM algorithm, Bayesian estimation ...
Some new results that provide refinements and reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) -inequality in the general setting of Measure Theory and under some boundedness condi...
Given a polyhedron P by a list of inequalities we develop unbiased estimates of the number of vertices and bases of P. The estimates are based on applying tree estimation methods ...
We use viability techniques for solving Dirichlet problems with inequality constraints (obstacles) for a class of Hamilton-Jacobi equations. The hypograph of the “solution” is ...
Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Sai...