The Annals of Statistics, Vol. 37, No. 3 (Jun., 2009), pp. 1360-1404 (45 pages) We study the problem of nonparametric estimation of a multivariate function $g ...

Abstract: A Lyapunov function based on a set of quadratic functions is introduced in this paper. We call this Lyapunov function a composite quadratic function. Some important properties of this ...

Abstract: We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well as composite ...