Abstract: We introduce an algorithm for synthesizing and verifying piecewise linear Lyapunov functions to prove global exponential stability of piecewise linear dynamical systems. The Lyapunov ...
A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang [1]. The algorithm uses an iterative search to find ...
This repository provides a python implementation of our piecewise linear regression algorithm both with CPU and GPU. The experiments that are shown in our paper are run with MATLAB which is a slower ...
Abstract: It is well known that wavelets provide good non-linear approximation of one-dimensional (1-D) piecewise smooth functions. However, it has been shown that the use of a basis with good ...
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 ...
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