A highly-skewed class distribution usually causes the learned classifier to predict the majority class much more often than the minority class. This is a consequence of the fact that most classifiersâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

2002

This article grew out of recent work of Dykema, Figiel, Weiss, and Wodzicki (Commutator structure of operator ideals) which inter alia characterizes commutator ideals in terms of arithmetic means. Inâ€¦ (More)

The main result of this paper is the extension of the Schurâ€“Horn Theorem to infinite sequences: For two nonincreasing nonsummable sequences Î¾ and Î· that converge to 0, there exists a positive compactâ€¦ (More)

This paper examines whether classifier utility can be improved by altering the misclassification cost ratio (the ratio of false positive misclassification costs to false negative misclassificationâ€¦ (More)

Additive commutators of operators belonging to two{sided ideals of B(H) are studied. J){commutators is characterized and found to equal IJ ; B(H)]. It is shown that three commutators are enough in I;â€¦ (More)

The main result in [23] on the structure of commutators showed that arithmetic means play an important role in the study of operator ideals. In this survey we present the notions of arithmetic meanâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1973

Suppose an ergodic flow acts on a probability space enabling us to introduce the Ergodic Hilbert transform f of f in L(p)(), 1 <== p <== infinity. H(1) is the class of all functions of the form f +â€¦ (More)

Telecommunication networks are extremely complex systems requiring high reliability and availability. The effective management of these networks is a critical, but complex, task. To help with thisâ€¦ (More)

System requirements often express some of the behavior of a domain model in the form of policies, constraints, invariants, and rules. Although an object-oriented approach helps with the design ofâ€¦ (More)