Uniformly separating families of functions
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Publication:1248975
DOI10.1007/BF02760402zbMath0384.54007OpenAlexW2054007491MaRDI QIDQ1248975
Publication date: 1978
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02760402
Function spaces in general topology (54C35) Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45)
Related Items (21)
Dimension, superposition of functions and separation of points, in compact metric spaces ⋮ Geometry of good sets in \(n\)-fold Cartesian product ⋮ Uniform separation of points and measures and representation by sums of algebras ⋮ Approximation by ridge functions and neural networks with a bounded number of neurons ⋮ Linear superpositions with mappings which lower dimension ⋮ On the representation by sums of algebras of continuous functions ⋮ Superpositions of continuous functions ⋮ On the representation by linear superpositions ⋮ Approximation by sums of ridge functions with fixed directions ⋮ Sequentially equidistant points in metric spaces ⋮ Dimension theory ⋮ On the uniqueness of representation by linear superpositions ⋮ On the approximation by neural networks with bounded number of neurons in hidden layers ⋮ Approximation by neural networks with weights varying on a finite set of directions ⋮ On a generalization of the Stone-Weierstrass theorem ⋮ On error formulas for approximation by sums of univariate functions ⋮ Interpolation on lines by ridge functions ⋮ A note on the dimensions of projections of cells in \(E^ n\) ⋮ A note on the representation of continuous functions by linear superpositions ⋮ Atomic maps and the Chogoshvili-Pontrjagin claim ⋮ Approximation by a sum of two algebras. The lightning bolt principle
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