Machine Learning Optimized Orthogonal Basis Piecewise Polynomial Approximation

arXiv:2403.08579v1 Announce Type: new
Abstract: Piecewise Polynomials (PPs) are utilized in several engineering disciplines, like trajectory planning, to approximate position profiles given in the form of a set of points. While the approximation target along with domain-specific requirements, like Ck -continuity, can be formulated as a system of equations and a result can be computed directly, such closed-form solutions posses limited flexibility with respect to polynomial degrees, polynomial bases or adding further domain-specific requirements. Sufficiently complex optimization goals soon call …

abstract approximation arxiv continuity cs.lg domain engineering form machine machine learning planning polynomial profiles requirements set trajectory type