This repository houses a set of functions dedicated to the study of how well neural networks can learn a piecewise function dataset of varying complexity. You will find code dedicated to generating ...

Abstract: This paper deals with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control ...

Threshold Decomposition is a transformation that converts a single real value x into a vector of real values [1]. If the number of thresholds is Q, then the vector contains Q+1 elements. In order to ...

We consider solving integral equations on a piecewise smooth surface S in R3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface. The theoretical ...

We investigate the validity and accuracy of weak-noise (saddle-point or instanton) approximations for piecewise-smooth stochastic differential equations (SDEs), taking as an illustrative example a ...

Linear Periodic Differential Equations (PDDEs) have been of importance for studying problems of vibration, mechanics, astronomy, electric circuits, biology among others in [1] several examples of ...