Search results
- 1.0524108 - ÚI 2021 RIV US eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Approximative Compactness of Linear Combinations of Characteristic Functions.
Journal of Approximation Theory. Roč. 257, September 2020 (2020), č. článku 105435. ISSN 0021-9045. E-ISSN 1096-0430
R&D Projects: GA ČR(CZ) GA18-23827S
Institutional support: RVO:67985807
Keywords : Approximative compactness * Compact sets of characteristic (indicator) functions * Symmetric difference metric * Hausdorff metric * Haar measure * Neural networks
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impact factor: 1.091, year: 2020
Method of publishing: Limited access
http://dx.doi.org/10.1016/j.jat.2020.105435
Permanent Link: http://hdl.handle.net/11104/0308450 - 2.0428366 - ÚI 2015 RIV GB eng J - Journal Article
Kůrková, Věra - Kainen, P.C.
Comparing Fixed and Variable-Width Gaussian Networks.
Neural Networks. Roč. 57, September (2014), s. 23-28. ISSN 0893-6080. E-ISSN 1879-2782
R&D Projects: GA MŠMT(CZ) LD13002
Institutional support: RVO:67985807
Keywords : Gaussian radial and kernel networks * Functionally equivalent networks * Universal approximators * Stabilizers defined by Gaussian kernels * Argminima of error functionals
Subject RIV: IN - Informatics, Computer Science
Impact factor: 2.708, year: 2014
Permanent Link: http://hdl.handle.net/11104/0233708 - 3.0404820 - UIVT-O 220809 RIV NL eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Sanguineti, M.
Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions.
[Rychlost minimalizace chybových funkcionálů na booleovských funkcích s proměnnou bází.]
Journal of Mathematical Modelling and Algorithms. Roč. 4, č. 4 (2005), s. 355-368. ISSN 1570-1166
R&D Projects: GA ČR GA201/02/0428; GA ČR GA201/05/0557
Grant - others:Area MC 6(EU) Project 22
Institutional research plan: CEZ:AV0Z10300504
Keywords : high-dimensional optimization * minimizing sequences * Boolean decision functions * decision tree
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125053 - 4.0404318 - UIVT-O 20030003 RIV US eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Best Approximation by Linear Combinations of Characteristic Functions of Half-Spaces.
Journal of Approximation Theory. Roč. 122, č. 2 (2003), s. 151-159. ISSN 0021-9045. E-ISSN 1096-0430
R&D Projects: GA ČR GA201/99/0092; GA ČR GA201/02/0428
Institutional research plan: AV0Z1030915
Keywords : best approximation * proximinal * approximatively compact * boundedly compact * heaviside perceptron networks * plane waves
Subject RIV: BA - General Mathematics
Impact factor: 0.528, year: 2003
Permanent Link: http://hdl.handle.net/11104/0124577 - 5.0403954 - UIVT-O 20000100 RIV CZ eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
An Integral Formula for Heaviside Neural Networks.
Neural Network World. Roč. 10, č. 3 (2000), s. 313-319. ISSN 1210-0552.
[Neural Network World 2000. Prague, 09.07.2000-12.07.2000]
R&D Projects: GA ČR GA201/99/0092
Institutional research plan: AV0Z1030915
Keywords : feedforward neural network * one-hidden-layer network * Heaviside function * plane wave * integral formula * numerical quadrature * Laplacian * Green's function * perceptron
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0003431 - 6.0403756 - UIVT-O 20000030 RIV US eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Best Approximation by Heaviside Perceptron Networks.
Neural Networks. Roč. 13, č. 7 (2000), s. 695-697. ISSN 0893-6080. E-ISSN 1879-2782
R&D Projects: GA ČR GA201/96/0917; GA AV ČR IAA2030602
Institutional research plan: AV0Z1030915
Keywords : one-hidden-layer networks * heaviside perceptrons * best approximation * metric projection * continuous selection * approximatively compact
Subject RIV: BA - General Mathematics
Impact factor: 1.221, year: 2000
Permanent Link: http://hdl.handle.net/11104/0124048 - 7.0403687 - UIVT-O 20010005 RIV NL eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Continuity of Approximation by Neural Networks in Lp Spaces.
Annals of Operations Research. Roč. 101, č. 1-4 (2001), s. 143-147. ISSN 0254-5330. E-ISSN 1572-9338
R&D Projects: GA ČR GA201/99/0092
Institutional research plan: AV0Z1030915
Keywords : Chebyshev set * strictly convex space * boundedly compact * continuous selection * near best approximation
Subject RIV: BA - General Mathematics
Impact factor: 0.255, year: 2001
Permanent Link: http://hdl.handle.net/11104/0123984 - 8.0403663 - UIVT-O 20000019 RIV US eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Geometry and Topology of Continuous Best and Near Best Approximations.
Journal of Approximation Theory. Roč. 105, č. 2 (2000), s. 252-262. ISSN 0021-9045. E-ISSN 1096-0430
R&D Projects: GA ČR GA201/99/0092; GA AV ČR IAA2030602; GA ČR GA201/00/1489
Institutional research plan: AV0Z1030915
Keywords : best approximation * near best approximation * continuous selection * Chebyshev set * strictly convex space * uniformly convex space * conctraible set * tangent hypercone * modulus of convexity * Chebyshev radius
Subject RIV: BA - General Mathematics
Impact factor: 0.556, year: 2000
Permanent Link: http://hdl.handle.net/11104/0123961File Download Size Commentary Version Access 0403663.pdf 1 326.6 KB Author´s preprint open-access - 9.0403383 - UIVT-O 990036 RIV NL eng J - Journal Article
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Approximation by Neural Networks is not Continuous.
Neurocomputing. Roč. 29, č. 1-3 (1999), s. 47-56. ISSN 0925-2312. E-ISSN 1872-8286
R&D Projects: GA AV ČR IAA2030602
Institutional research plan: AV0Z1030915
Subject RIV: BA - General Mathematics
Impact factor: 0.360, year: 1999
Permanent Link: http://hdl.handle.net/11104/0123694 - 10.0402777 - UIVT-O 970069 US eng J - Journal Article
Kůrková, Věra - Kainen, P.C. - Kreinovich, V.
Estimates of the Number of Hidden Units and Variation with Respect to Half-Spaces.
Neural Networks. Roč. 10, č. 6 (1997), s. 1061-1068. ISSN 0893-6080. E-ISSN 1879-2782
R&D Projects: GA ČR GA201/93/0427; GA ČR GA201/96/0917
Keywords : aproximation of functions * one-hidden-layer sigmoidal networks * estimates of the number of hidden units * variation with respect to half-spaces * integral representation
Impact factor: 1.019, year: 1997
Permanent Link: http://hdl.handle.net/11104/0123159