2001
DOI: 10.1090/s0273-0979-01-00923-5
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On the mathematical foundations of learning

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Cited by 1,275 publications
(1,193 citation statements)
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References 36 publications
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“…One such example is a Gaussian kernel K(x, y) = e −|x−y| 2 /σ 2 on any closed subset X of R n . See Section 8, and more examples and background in [8].…”
Section: S)mentioning
confidence: 99%
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“…One such example is a Gaussian kernel K(x, y) = e −|x−y| 2 /σ 2 on any closed subset X of R n . See Section 8, and more examples and background in [8].…”
Section: S)mentioning
confidence: 99%
“…The set x may be determined as in a net (Shannon, with x = Z) or may have come from a random sample as in [8] or [4]. For x ∈ X, we denote the variance of the conditional measures ρ x of ρ as σ 2…”
Section: S)mentioning
confidence: 99%
“…The proof follows the proof of a similar result for regression algorithms by the reference [30]. In particular, the random variable In the following, we estimate the second part of Eq.…”
mentioning
confidence: 61%
“…In the paper, we propose to study the minimizer of the empirical error in 30 the compressed hypothesis space instead of the original hypothesis space. That is, we propose to find solutions in the compressed hypothesis space.…”
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confidence: 99%
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