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  • Learning from data under constraints on model complexity is studied in terms of rates of approximate minimization of the regularized expected error functional. For kernel models with an increasing number n of kernel functions, upper bounds on such rates are derived. The bounds are of the form a/n+b/sqrt(n], where a and b depend on the regularization parameter and on properties of the kernel, and of the probability measure defining the expected error. As a special case, estimates of rates of approximate minimization of the regularized empirical error are derived.
  • Learning from data under constraints on model complexity is studied in terms of rates of approximate minimization of the regularized expected error functional. For kernel models with an increasing number n of kernel functions, upper bounds on such rates are derived. The bounds are of the form a/n+b/sqrt(n], where a and b depend on the regularization parameter and on properties of the kernel, and of the probability measure defining the expected error. As a special case, estimates of rates of approximate minimization of the regularized empirical error are derived. (en)
  • Učení na základě dat s omezením modelové složitosti je studováno pomocí rychlosti přibližné minimalizace regularizovaného funkcionálu očekávané chyby. Pro jádrové modely s rostoucím počtem n jádrových funkcí jsou odvozeny horní odhady této rychlosti. (cs)
Title
  • Approximate Minimization of the Regularized Expected Error over Kernel Models
  • Přibližná minimalizace regularizovaného funkcionálu očekávané chyby na jádrových modelech (cs)
  • Approximate Minimization of the Regularized Expected Error over Kernel Models (en)
skos:prefLabel
  • Approximate Minimization of the Regularized Expected Error over Kernel Models
  • Přibližná minimalizace regularizovaného funkcionálu očekávané chyby na jádrových modelech (cs)
  • Approximate Minimization of the Regularized Expected Error over Kernel Models (en)
skos:notation
  • RIV/67985807:_____/08:00043647!RIV09-AV0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/0557), P(GA201/08/1744), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 3
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http://linked.open...dnocenehoVysledku
  • 356869
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  • RIV/67985807:_____/08:00043647
http://linked.open...riv/jazykVysledku
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  • suboptimal solutions; expected error; convex functionals; kernel methods; model complexity; rates of convergence (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [140BCF1F6D52]
http://linked.open...i/riv/nazevZdroje
  • Mathematics of Operations Research
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 33
http://linked.open...iv/tvurceVysledku
  • Kůrková, Věra
  • Sanguineti, M.
http://linked.open...ain/vavai/riv/wos
  • 000258881200013
http://linked.open...n/vavai/riv/zamer
issn
  • 0364-765X
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