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  • Basics of frame expansions in separable Hilbert spaces are explained in context with the theory of pseudoinverse operators. A new geometric approach is outlined connecting both areas. An iterative frame-based procedure is suggested which finds, to a given function, a finite frame or Riesz basis for its expansion which is suboptimal in a certain sense. In particular a new type of kernel smoothing operator based on dual frame expansions is introduced with which the above procedure allows us to find easily not only suboptimal bandwidths (scales) as with common kernel smoothing, but also suboptimal shifts.
  • Basics of frame expansions in separable Hilbert spaces are explained in context with the theory of pseudoinverse operators. A new geometric approach is outlined connecting both areas. An iterative frame-based procedure is suggested which finds, to a given function, a finite frame or Riesz basis for its expansion which is suboptimal in a certain sense. In particular a new type of kernel smoothing operator based on dual frame expansions is introduced with which the above procedure allows us to find easily not only suboptimal bandwidths (scales) as with common kernel smoothing, but also suboptimal shifts. (en)
Title
  • Kernel frame smoothing operators
  • Kernel frame smoothing operators (en)
skos:prefLabel
  • Kernel frame smoothing operators
  • Kernel frame smoothing operators (en)
skos:notation
  • RIV/00216224:14310/01:00004859!RIV/2002/MSM/143102/N
http://linked.open.../vavai/riv/strany
  • 308
http://linked.open...avai/riv/aktivita
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  • Z(MSM 143100001)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 684270
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/01:00004859
http://linked.open...riv/jazykVysledku
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  • nctional approximation; kernel operators;frame and wavelet expansions; pseudoinverse operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [006405C700B6]
http://linked.open...v/mistoKonaniAkce
  • Prague
http://linked.open...i/riv/mistoVydani
  • Prague
http://linked.open...i/riv/nazevZdroje
  • Proceedings ROBUST'2000
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...iv/tvurceVysledku
  • Veselý, Vítězslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • JCMF Prague
https://schema.org/isbn
  • 80-7015-792-5
http://localhost/t...ganizacniJednotka
  • 14310
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