Discrete, nonlinear approximation problems in polyhedral norms

1977 ◽  
Vol 28 (2) ◽  
pp. 143-156 ◽  
Author(s):  
D. H. Anderson ◽  
M. R. Osborne
Keyword(s):  
Nonlinear Approximation ◽  
Polyhedral Norms ◽  
Approximation Problems

Discrete, nonlinear approximation problems in polyhedral norms

1977 ◽  
Vol 28 (2) ◽  
pp. 157-170 ◽  
Author(s):  
D. H. Anderson ◽  
M. R. Osborne
Keyword(s):  
Nonlinear Approximation ◽  
Polyhedral Norms ◽  
Approximation Problems

Optimal Approximation Methods

1995 ◽  
Author(s):  
Marek A. Kowalski ◽  
Krzystof A. Sikorski ◽  
Frank Stenger
Keyword(s):  
Computational Methods ◽  
Nonlinear Approximation ◽  
Optimal Approximation ◽  
Approximation Methods ◽  
Optimal Algorithms ◽  
Optimal Methods ◽  
Sequential Methods ◽  
Linear Problems ◽  
Approximation Problems

In this chapter we outline a theory of optimal computational methods for general, nonlinear approximation problems. We define the notions of optimal algorithms and information, and we analyze the classes of parallel and sequential methods. We put special emphasis on linear problems as well as linear and spline algorithms. Several relationships between optimal methods and n-widths and s-numbers are also exhibited.

Discrete, linear approximation problems in polyhedral norms

1976 ◽  
Vol 26 (2) ◽  
pp. 179-189 ◽  
Author(s):  
D. H. Anderson ◽  
M. R. Osborne
Keyword(s):  
Linear Approximation ◽  
Polyhedral Norms ◽  
Approximation Problems

Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ Networks

2021 ◽  
Author(s):  
I. Daubechies ◽  
R. DeVore ◽  
S. Foucart ◽  
B. Hanin ◽  
G. Petrova
Keyword(s):  
Nonlinear Approximation
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