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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
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  • P(GA201/05/0557), P(GA201/08/1744), Z(AV0Z10300504)
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  • 3
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  • 356869
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  • RIV/67985807:_____/08:00043647
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  • suboptimal solutions; expected error; convex functionals; kernel methods; model complexity; rates of convergence (en)
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  • US - Spojené státy americké
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  • [140BCF1F6D52]
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  • Mathematics of Operations Research
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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
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  • 0364-765X
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