Kernel frame smoothing operators

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00004859" target="_blank" >RIV/00216224:14310/01:00004859 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Kernel frame smoothing operators
Popis výsledku v původním jazyce
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 easilynot only suboptimal bandwidths (scales) as with common kernel smoothing, but also suboptimal shifts.
Název v anglickém jazyce
Kernel frame smoothing operators
Popis výsledku anglicky
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 easilynot only suboptimal bandwidths (scales) as with common kernel smoothing, but also suboptimal shifts.

Rok uplatnění
2001
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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