Negative Temperature: Further Extensions

Further Extensions of a Legendre Function Integral

Probabilistic non-negative matrix factorisation and extensions

Matrix factorisation models have had an explosive growth in popularity in the last decade. It has become popular due to its usefulness in clustering and missing values prediction. We review the main literature for matrix factorisation, focusing on nonnegative matrix factorisation and probabilistic approaches. We also consider several extensions: matrix tri-factorisation, Tensor factorisation, T...

The Arity Gap of Aggregation Functions and Further Extensions

The aim of this paper is to completely classify all aggregation functions based on the notion of arity gap. We first establish explicit descriptions of the arity gap of the Lovász extensions of pseudo-Boolean functions and, in particular, of the Choquet integrals. Then we consider the wider class of order-preserving functions between arbitrary, possibly different, posets, and show that similar ...

Further analysis of negative assortative mating.

HE paper “Ana1ys.k of models with homozygote x heterozygote matings“ was devoted to the complete mathematical analysis of the equilibrium behavior of some models proposed by SCUDO (1964) and FINNEY (1952) and some of their qualitative implications for population genetics in general. In this paper we repeat this process with certain models described by WORKMAN ( 1964), NAYLOR (1962) and others. ...

Further extensions of Clifford circuits and their classical simulation complexities

Extended Clifford circuits straddle the boundary between classical and quantum computational power. Whether such circuits are efficiently classically simulable seems to depend delicately on the ingredients of the circuits. While some combinations of ingredients lead to efficiently classically simulable circuits, other combinations that might just be slightly different, lead to circuits which ar...