On the uniqueness of representation by linear superpositions

DOI10.1007/S11253-017-1335-5zbMath1490.26011OpenAlexW2621282463MaRDI QIDQ1729404

Vugar E. Ismailov

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1335-5

Mathematics Subject Classification ID

Representation and superposition of functions (26B40)

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Cites Work

• Approximation by a sum of two algebras. The lightning bolt principle
• Dimension, superposition of functions and separation of points, in compact metric spaces
• Uniformly separating families of functions
• When is \(f(x_1,x_1,\dots,x_n)= u_1(x_1)+ u_2(x_2)+\cdots+ u_n(x_n)\)?
• Geometry of good sets in \(n\)-fold Cartesian product
• On the representation by linear superpositions
• An improvement in the superposition theorem of Kolmogorov
• Metric Entropy, Widths, and Superpositions of Functions
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