Eignets for function approximation on manifolds
نویسندگان
چکیده
منابع مشابه
Eignets for function approximation on manifolds
Let X be a compact, smooth, connected, Riemannian manifold without boundary, G : X×X → R be a kernel. Analogous to a radial basis function network, an eignet is an expression of the form PM j=1 ajG(◦, yj), where aj ∈ R, yj ∈ X, 1 ≤ j ≤ M . We describe a deterministic, universal algorithm for constructing an eignet for approximating functions in L(μ;X) for a general class of measures μ and kerne...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2010
ISSN: 1063-5203
DOI: 10.1016/j.acha.2009.08.006