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  1. 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/11104/0124951
    FileDownloadSizeCommentaryVersionAccess
    v864-02.pdf18350.1 KBOtheropen-access
     
     
  2. 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/11104/0124040
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    v795-99.pdf13196.7 KBOtheropen-access
     
     
  3. 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/11104/0123962
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    v769-98.pdf13157.2 KBOtheropen-access
     
     
  4. 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/11104/0123168
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    v626-95.pdf12152.9 KBOtheropen-access
     
     
  5. 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/11104/0122693
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    v645-95.pdf12201.7 KBOtheropen-access
     
     
  6. 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. 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. 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. 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/11104/0222357
    FileDownloadSizeCommentaryVersionAccess
    v1174-12.pdf1686 KBOtheropen-access
     
     
  10. 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/11104/0167341
    FileDownloadSizeCommentaryVersionAccess
    v1023-08.pdf15245.9 KBOtheropen-access
     
     

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