This paper addresses the role of centrality in the implementation of interior point methods. We provide theoretical arguments to justify the use of a symmetric neighbourhood, and translate them into computational practice leading to a new insight into the role of recentering in the implementation of interior point methods. Second-order correctors, such as Mehrotra’s predictor–corrector, can occ...

In various applications involving complex networks, network measures are employed to assess the relative importance of network nodes. However, the robustness of such measures in the presence of link inaccuracies has not been well characterized. Here we present two simple stochastic models of false and missing links and study the effect of link errors on three commonly used node centrality measu...

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics capture a node’s position the network. This enables us to provide taxonomy distills them varying two dimensions: (i) which information they make use about nodes’ positions, (ii) how is weighted as function distance from node question. The three sorts positions...

Abstract Recently, learning only from ordinal information of the type “item x is closer to item y than z ” has received increasing attention in machine community. Such triplet comparisons are particularly well suited for crowdsourced human intelligence tasks, which workers make statements about relative distances a items. In this paper, we systematically investigate comparison-based centrality ...

Degree centrality is considered to be one of the most basic measures of social network analysis, which has been used extensively in diverse research domains for measuring network positions of actors in respect of the connections with their immediate neighbors. In network analysis, it emphasises the number of connections that an actor has with others. However, it does not accommodate the value o...

INTRODUCTION Early adverse life events (EALs) increase the risk for chronic medical and psychiatric disorders by altering early neurodevelopment. The aim of this study was to examine associations between EALs and network properties of core brain regions in the emotion regulation and salience networks, and to test the influence of sex on these associations. METHODS Resting-state functional and...