Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...

This is a preview. Log in through your library . Abstract In this paper we introduce the concept of strong approximation of functions, and a related concept of strong Bouligand (B-) derivative, and we ...

Automatic differentiation is a transformation of the computational graph associated with the algorithmic implementation of a mathematical function. It breaks it down into atomistic primitive ...

Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...

The delta method and continuous mapping theorem are among the most extensively used tools in asymptotic derivations in econometrics. Extensions of these methods are provided for sequences of functions ...

Abstract: This paper proposes a novel event-triggered adaptive neural control scheme for pure-feedback stochastic nonlinear systems subject to input saturation and partial state constraints. By ...