Abstract: One of the most important properties of neural nets (NNs) for control purposes is the universal approximation property. Unfortunately,, this property is generally proven for continuous ...

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The Annals of Statistics, Vol. 49, No. 5 (October 2021), pp. 2531-2551 (21 pages) Proposed by Donoho (Ann. Statist. 25 (1997) 1870–1911), Dyadic CART is a nonparametric regression method which ...

This paper considers a stochastic shortest path problem where the arc lengths are independent random variables following a normal distribution. In this problem, the optimal path is one that maximizes ...

Abstract: This work is concerned with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant continuous-time linear systems with saturating closed-loop ...

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A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...