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High-Dimensional Approximation by Neural Networks.
Approximation of high-dimensional mappings by neural networsk is investigated in the context of nonlinear approximation theory.It is shown that the 'curse of dimensionality' can be avoided when functio...
BA - Obecná matematika
- 2003 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Comparison of Worst-Case Errors in Linear and Neural Network Approximation.
approximation by fixed versus variable basis functions. Comparison of approximation rates are formulated in terms of certain norms tailored to sets of basic functions. The resultsSets of multivariable function...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Mappings between High-Dimensional Representations in Connectionistic Systems
Approximations of high-dimensional mappings by neural network is investigated in the context of nonlinear approximation theory. It is shown that the "curse of dimensionality" can be avoided when certain no...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Radial Basis Functions for High-Dimensional Visualization
High dimensional visualization is connected with large un-ordered data sets. The paper describes applications of radial basis functions for interpolation and approximation of data with a significant reduction of pr...
JC - Počítačový hardware a software
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Simple and Effective Probability Density Estimation and Classification
A mapping is introduced which maps the true distribution to a function of distances. The approximation of this function in the form of a suitable power of the distance is presented. The exponent in this approximation
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Model Complexity of Neural Networks in High-Dimensional Approximation
The role of dimensionality in approximation by neural networks is investigated. Methods from nonlinear approximation theory are used to describe sets of functions which can be approximated by neural networ...
IN - Informatika
- 2012 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Approximation of Binary-Valued Functions by Networks of Finite VC Dimension
Distributions of errors in approximation of binary-valued functions by networks with sets of input-output functions of finite VC dimension is investigated. Conditions on concentration of approximation errors around...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2023 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Bounds on Rates of Variable-Basis and Neural Network Approximation.
Tightness of bounds on rates of approximation by feedforward neural networks is investigated in a more general context of nonlinear approximation by variable-basis functions. Tight bounds on the worst case error in appr...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Dimension Independent Approximation by Neural Networks: How Can we Cope With the Curse of Dimensionality?
In this paper we study feedforward neural networks as nonlinear approximation schemes computing parametrized sets of variable-basis functions. We show that under suitable constraints on the functions be approximated
BA - Obecná matematika
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
The Behavior of LWPR Method on Approximation of Multivariable Functions
Locally Weighted Projection Regression is an incremental approximation method used in real-time control. It was developed to approximate functions with high-dimensional inputs. When used for problems with ...
JD - Využití počítačů, robotika a její aplikace
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
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