Analysis of the mean squared derivative cost function
Analysis of PDEs
2017-10-11 v2 Classical Analysis and ODEs
Dynamical Systems
Abstract
In this paper, we investigate the mean squared derivative cost functions that arise in various applications such as in motor control, biometrics and optimal transport theory. We provide qualitative properties, explicit analytical formulas and computational algorithms for the cost functions. We also perform numerical simulations to illustrate the analytical results. In addition, as a by-product of our analysis, we obtain an explicit formula for the inverse of a Wronskian matrix that is of independent interest in linear algebra and differential equations theory.
Keywords
Cite
@article{arxiv.1602.07668,
title = {Analysis of the mean squared derivative cost function},
author = {Manh Hong Duong and Minh Hoang Tran},
journal= {arXiv preprint arXiv:1602.07668},
year = {2017}
}
Comments
28 pages