Abstract: The vector field of a mixed-monotone system is decomposable via a decomposition function into increasing (cooperative) and decreasing (competitive) components, and this decomposition allows ...

Abstract: A dynamical system is mixed monotone when there exists a related decomposition function that separates the system dynamics into cooperative and competitive state interactions. Such a ...

Function vectors (FV) are quantitative represen tations of in-context learning demonstrations and can be added to language models to encourage a particular behavior. Recent work has demonstrated the ...

This paper proposes the continuous-time singular value decomposition (SVD) for the impulse response function, a special kind of Green’s functions, in order to find a set of singular functions and ...

In the beginning of the 1980’s, Adomian [1] -[4] proposed a new and fruitful method (hereafter called the Adomian Decomposition Method or ADM) for solving linear and nonlinear (algebraic, differential ...