نتایج جستجو برای: polynomial basis functions

تعداد نتایج: 922677  

Journal: :Proceedings of the American Mathematical Society 1976

Journal: :Annales Polonici Mathematici 1971

Journal: :Journal of Differential Equations 2007

Journal: :Mediterranean Journal of Mathematics 2014

Journal: :International Journal of Mathematics and Mathematical Sciences 1991

2012
Gints Jekabsons

The task of learning useful models from available data is common in virtually all fields of science, engineering, and finance. The goal of the learning task is to estimate unknown (input, output) dependency (or model) from training data (consisting of a finite number of samples) with good prediction (generalization) capabilities for future (test) data (Cherkassky & Mulier, 2007; Hastie et al., ...

2014
Alexandr Andoni Rina Panigrahy Gregory Valiant Li Zhang

We study the question of learning a sparse multivariate polynomial over the real domain. In particular, for some unknown polynomial f(~x) of degree-d and k monomials, we show how to reconstruct f , within error , given only a set of examples x̄i drawn uniformly from the n-dimensional cube (or an n-dimensional Gaussian distribution), together with evaluations f(x̄i) on them. The result holds even ...

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