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- 1.0404712 - UIVT-O 20020063 CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra - Sanguineti, M.
Minimization of Error Functionals over Variable-Basis Functions.
Prague: ICS AS CR, 2002. 17 s. Technical Report, V-864.
R&D Projects: GA ČR GA201/00/1482
Institutional research plan: AV0Z1030915
Keywords : error functionals * approximate optimalization * generalized Tychonov well-posedness * rate of decrease of intima * complexity of admissible functions * curse of dimensionality * neural networks
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0124951File Download Size Commentary Version Access v864-02.pdf 18 350.1 KB Other open-access - 2.0403747 - UIVT-O 990101 CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Best Approximation by Linear Combinations of Characteristic Functions of Half-Spaces.
Prague: ICS AS CR, 1999. 6 s. Technical Report, V-795.
R&D Projects: GA ČR GA201/99/0092
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
Permanent Link: http://hdl.handle.net/11104/0124040File Download Size Commentary Version Access v795-99.pdf 13 196.7 KB Other open-access - 3.0403664 - UIVT-O 990015 CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra - Vogt, A.
Geometry and Topology of Continuous Best and Near Best Approximations.
Prague: ICS AS CR, 1998. 9 s. Technical Report, V-769.
R&D Projects: GA ČR GA201/96/0917
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
Permanent Link: http://hdl.handle.net/11104/0123962File Download Size Commentary Version Access v769-98.pdf 13 157.2 KB Other open-access - 4.0402786 - UIVT-O 950049 CZ eng V - Research Report
Kůrková, Věra - Kainen, P.C. - Kreinovich, V.
Dimension-Independent Rates of Approximation by Neural Networks and Variation with Respect to Half-spaces.
Prague: ICS AS CR, 1995. 6 s. Technical Report, V-626.
R&D Projects: GA ČR GA201/93/0427
Keywords : one-hidden-layer feedforward neural network * Heaviside activation function * rate of approximation * estimate of the number of hidden units * variation with respect to half-spaces
Permanent Link: http://hdl.handle.net/11104/0123168File Download Size Commentary Version Access v626-95.pdf 12 152.9 KB Other open-access - 5.0402286 - UIVT-O 960010 CZ eng V - Research Report
Kůrková, Věra - Kainen, P.C. - Kreinovich, V.
Estimates of the Number of Hidden Units and Variation with Respect to Half-Spaces.
Prague: ICS AS CR, 1995. 12 s. Technical Report, V-645.
R&D Projects: GA ČR GA201/93/0427
Grant - others:NFS(US) CDA-9015006; NASA(US) NAG 9-757
Keywords : approximation of functions * one-hidden-layer sigmodial networks * estimates of the number of hidden units * variation with respect to half-spaces * integral representation
Permanent Link: http://hdl.handle.net/11104/0122693File Download Size Commentary Version Access v645-95.pdf 12 201.7 KB Other open-access - 6.0402235 - UIVT-O 940350 CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra - Kreinovich, V. - Sirisengtaksin, O.
Uniqueness of Network Parametrizations and Faster Learning.
Prague: ICS AS CR, 1993. 8 s. Technical Report, V-575.
R&D Projects: GA AV ČR IA23057; GA ČR GA201/93/0427
Permanent Link: http://hdl.handle.net/11104/0122644 - 7.0401994 - UIVT-O 930115 CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra
Affinely Recursive Functions and Neural Networks.
Prague: ÚIVT AV ČR, 1993. 6 s. Technical Report, V-576.
Permanent Link: http://hdl.handle.net/11104/0122415 - 8.0401733 - UIVT-O 920023 CS1 eng V - Research Report
Kůrková, Věra - Kainen, P.C.
Semigroups of Function Preserving Weight Transformations.
Prague: ÚIVT ČSAV, 1992. 14 s. Technical Report, V-538.
Permanent Link: http://hdl.handle.net/11104/0122185 - 9.0394024 - ÚI 2014 CZ eng V - Research Report
Kůrková, Věra - Kainen, P.C.
Fixed and Variable-Width Gaussian Networks.
Prague: ICS AS CR, 2012. 5 s. Technical Report, V-1174.
R&D Projects: GA MŠMT OC10047
Institutional support: RVO:67985807
Keywords : Gaussian radial networks * Gaussian kernel networks * functionally equivalent networks * approximation of functions by neural networks
Subject RIV: IN - Informatics, Computer Science
Permanent Link: http://hdl.handle.net/11104/0222357File Download Size Commentary Version Access v1174-12.pdf 16 86 KB Other open-access - 10.0317780 - ÚI 2009 SIGLE CZ eng V - Research Report
Kainen, P.C. - Kůrková, Věra
An integral upper bound for neural-network approximation.
Prague: ICS AS CR, 2008. 14 s. Technical Report, V-1023.
R&D Projects: GA MŠMT(CZ) 1M0567
Institutional research plan: CEZ:AV0Z10300504
Keywords : model complexity of neural networks * integral representation in the form of network with infinitely many hidden units * rates of variable-basis approximation * variational norm * Bochner integral * perceptron networks
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0167341File Download Size Commentary Version Access v1023-08.pdf 15 245.9 KB Other open-access