Fubini’s Theorem for Non-Negative or Non-Positive Functions

Iterative Weighted Non-smooth Non-negative Matrix Factorization for Face Recognition

Non-negative Matrix Factorization (NMF) is a part-based image representation method. It comes from the intuitive idea that entire face image can be constructed by combining several parts. In this paper, we propose a framework for face recognition by finding localized, part-based representations, denoted “Iterative weighted non-smooth non-negative matrix factorization” (IWNS-NMF). A new cost fun...

Negative and non-positive epidemiological studies.

The aim of this study was to identify and discuss validity aspects on so called negative and non-positive studies. Arguments and examples are drawn from experiences in occupational health epidemiology regarding the interpretation of more or less equivocal study results. A negative study may be defined as showing a result that goes against the investigated hypothesis of an increased (or prevente...

Dehn Functions and Non-Positive Curvature

A non-renormalization theorem for chiral primary 3-point functions

In this note we prove a non-renormalization theorem for the 3-point functions of 1/2 BPS primaries in the four-dimensional N = 4 SYM and chiral primaries in two dimensional N = (4, 4) SCFTs. Our proof is rather elementary: it is based on Ward identities and the structure of the short multiplets of the superconformal algebra and it does not rely on superspace techniques. We also discuss some pos...

A fixed point theorem for non-monotonic functions

We present a fixed point theorem for a class of (potentially) non-monotonic functions over specially structured complete lattices. The theorem has as a special case the KnasterTarski fixed point theorem when restricted to the case of monotonic functions and Kleene’s theorem when the functions are additionally continuous. From the practical side, the theorem has direct applications in the semant...