Although the random forest classification procedure works well in datasets with many features, when the number of features is huge and the percentage of truly informative features is small, such as with DNA microarray data, its performance tends to decline significantly. In such instances, the procedure can be improved by reducing the contribution of trees whose nodes are populated by non-infor...

Robert D. Bell, Xiaochun Long, Mingyan Lin, Jan H. Bergmann, Vivek Nanda, Sarah L. Long Noncoding RNA Enriched − Identification and Initial Functional Characterization of a Human Vascular Cell Print ISSN: 1079-5642. Online ISSN: 1524-4636 Copyright © 2014 American Heart Association, Inc. All rights reserved. Greenville Avenue, Dallas, TX 75231 is published by the American Heart Association, 727...

In a paper of 1974, Brian Day employed a notion of factorization system in the context of enriched category theory, replacing the usual diagonal lifting property with a corresponding criterion phrased in terms of hom-objects. We set forth the basic theory of such enriched factorization systems. In particular, we establish stability properties for enriched prefactorization systems, we examine th...

In this paper, we consider an enriched orthogonality for classes of spaces, with respect to groupoids, simplicial sets and spaces themselves. This point of view allows one to characterize homotopy equivalences, shape and strong shape equivalences. We show that there exists a class of spaces, properly containing ANR-spaces, for which shape and strong shape equivalences coincide. For such a class...

We develop a theory of categories which are simultaneously (1) indexed over a base category S with finite products, and (2) enriched over an S-indexed monoidal category V . This includes classical enriched categories, indexed and fibered categories, and internal categories as special cases. We then describe the appropriate notion of “limit” for such enriched indexed categories, and show that th...

We introduce graded, enriched characteristic cycles as a method for encoding Morse modules of strata with respect to a constructible complex of sheaves. Using this new device, we obtain results for arbitrary complex analytic functions on arbitrarily singular complex analytic spaces. §

The Internet has become an important part in every day life for many users. It has changed from an instrument to exchange and link scientific data to an economical and social place, where people spend their working and spare time. But the underlying technology has not adapted to the newly risen demands of communication and collaboration. The user is almost isolated and anonymous when using the ...

In the setting of enriched category theory, we describe dual adjunctions of the form L R : Spa −→ Alg between the dual of the category Spa of “spaces” and the category Alg of “algebras” that arise from a schizophrenic object , which is both an “algebra” and a “space”. We call such adjunctions logical connections. We prove that the exact nature of is that of a module that allows to lift optimall...

We present a linear regression method for predictions on a small data set making use of a second possibly biased data set that may be much larger. Our method fits linear regressions to the two data sets while penalizing the difference between predictions made by those two models. The resulting algorithm is a shrinkage method similar to those used in small area estimation. We find a Stein-type f...

wheat germ is a by-product of milling industry rich in fiber, tocopherol, unsaturated fatty acids, polyphenol, minerals and protein. in this study, effect of adding raw and stabilized wheat germ on the characteristics of cake batter such as specific gravity, viscosity and cake properties such as volume, apparent density, solid density, porosity, water activity, moisture and firmness was studied...