Titlebook: Empirical Inference; Festschrift in Honor Bernhard Schölkopf,Zhiyuan Luo,Vladimir Vovk Book 2013 Springer-Verlag Berlin Heidelberg 2013 Bay

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On Learnability, Complexity and Stabilitying and in the general learningGeneral learning setting introduced by Vladimir Vapnik. We survey classic results characterizing learnability in terms of suitable notions of complexity, as well as more recent results that establish the connection between learnability and stability of a learning algorithm.

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Kernel Ridge Regressione method is identical to a formula in Bayesian statistics, but Kernel Ridge Regression has performance guarantees that have nothing to do with Bayesian assumptions. I will discuss two kinds of such performance guarantees: those not requiring any assumptions whatsoever, and those depending on the assumption of randomness.

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Semi-supervised Learning in Causal and Anticausal Settingsa given problem, and rule out others. We formulate the hypothesis that semi-supervised learning can help in an anti-causal setting, but not in a causal setting, and corroborate it with empirical results.

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Strong Universal Consistent Estimate of the Minimum Mean Squared Errord simple estimators of the minimum mean squared error Mean squared error—(Minimum mean squared error—(., and prove their strong consistenciesConsistency—(. We bound the rate of convergenceRate of convergence, too.

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Modellrechnungen im Grundwasser,onger generalization bounds. Therefore, we propose algorithms to find the deepest hypothesis. Following the definitions of depth in multivariate statistics, we refer to the deepest hypothesis as the median hypothesis. We show that similarly to the univariate and multivariate medians, the median hypo

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intoxicate

The Median Hypothesisonger generalization bounds. Therefore, we propose algorithms to find the deepest hypothesis. Following the definitions of depth in multivariate statistics, we refer to the deepest hypothesis as the median hypothesis. We show that similarly to the univariate and multivariate medians, the median hypo

ODIUM

beta-cells