The block-term tensor decomposition (BTD) model has been receiving increasing attention as a quite flexible way to capture the structure of 3-dimensional data that can be naturally viewed as the superposition of R block terms of multilinear rank (Lr, Lr, 1), r = 1, 2,. .. , R. Versions with nonnegativity constraints, especially relevant in applicat...
Published in Philosophical Transactions of the Royal Society B: Biological Sciences
A century ago, foundational work by Thorleif Schjelderup-Ebbe described a ‘pecking order’ in chicken societies, where individuals could be ordered according to their ability to exert their influence over their group-mates. Now known as dominance hierarchies, these structures have been shown to influence a plethora of individual characteristics and ...
Published in Philosophical Transactions of the Royal Society B: Biological Sciences
Dominance is important for access to resources. As dominance interactions are costly, individuals should be strategic in whom they interact with. One hypothesis is that individuals should direct costly interactions towards those closest in rank, as they have most to gain—in terms of attaining or maintaining dominance—from winning such interactions....
Published in Integrative zoology
The American black bear (Ursus americanus) was long thought to be solitary and its social organization has not been well described. Here, we present new data on black bear social structure. The objectives of the study were to make detailed observations of the behavior of wild black bears to determine their social interactions and structure. We test...
Published in Lobachevskii Journal of Mathematics
AbstractWe define ranks and degrees for families of theories, similar to Morley rank and degree, as well as Cantor–Bendixson rank and degree, and the notion of totally transcendental family of theories. Bounds for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \...
Published in Foot & Ankle Orthopaedics
Background: The Internet is often the first resource used by applicants to evaluate fellowship programs. However, information on these websites can be often incomplete, inaccessible, and/or inaccurate. The primary objective of this study was to examine key factors that orthopedic foot and ankle fellowship applicants use to rank programs. The second...
V delu karakteriziramo kvadratne idempotentne ničelno-neničelne matrike z elementi iz množice ${0, ast}$. Da bi identificirali vse take matrike, ta problem prevedemo na iskanje kvadratnih binarnih matrik nad poljem realnih števil, ki ta problem rešijo. Nato določimo največje število možnih neničelnih elementov v idempotentni ničelno-neničelni matri...
Published in Proceedings of the National Academy of Sciences of the United States of America
With the advent of machine learning and its overarching pervasiveness it is imperative to devise ways to represent large datasets efficiently while distilling intrinsic features necessary for subsequent analysis. The primary workhorse used in data dimensionality reduction and feature extraction has been the matrix singular value decomposition (SVD)...
Published in Acta Scientiarum Mathematicarum
Let F be a field and let k, n1, …, nk be positive integers with n1 + … + nk = n ≥ 2. We denote by Tn1,…,nk a block triangular matrix algebra over F with unity In and center Z(Tn1,…,nk). Fixing an integer 1 1 upper triangular matrices over an arbitrary field is addressed.
Published in Statistics in medicine
Statistical methods for analysis of survey data have been developed to facilitate research. More recently, Lumley and Scott (2013) developed an approach to extend the Mann-Whitney-Wilcoxon (MWW) rank sum test to survey data. Their approach focuses on the null of equal distribution. In many studies, the MWW test is called for when two-sample t-tests...
