1 College of Science, Guilin University of Technology, Guilin, China. 2 Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin, China. Overlap functions [1] [2] and ...

Let g be a real-valued multiplicative function defined on the set of pairs of positive integers such that $g(2^{j},2^{k})=g(3^{j},3^{k})=1$ for all non-negative ...

We present a constructive SAT-based algorithm to determine the multiplicative complexity of a Boolean function, i.e., the smallest number of AND gates in any logic network that consists of 2-input AND ...

Let µ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system {1, x, x², . . . , xn, . . .} to get orthogonal ...

Abstract: The security of information has become even more important with the increased use of the internet, mobile communication and even social networking, all of which have intensified the volume ...

Abstract: Given a level set E of an arbitrary multiplicative function f, we establish, by building on the fundamental work of Frantzikinakis and Host [14, 15], a structure theorem that gives a ...

A deep problem in analytic number theory is to understand correlations of general multiplicative functions. In this talk, we derive correlations formulas for so-called bounded “pretentious” ...

This repository implements a novel method for removing multiplicative Gaussian noise from images. The approach leverages Partial Differential Equations (PDEs) and various activation functions, ...

Copyright (C) 2018, Ane Espeseth, Andreas Holmstrom, Torstein Vik.