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This paper introduces a method for studying the correlation structure of a range of responses modelled by a multivariate generalised linear mixed model (MGLMM). The methodology requires the existence of clusters of observations and that…

统计方法学 · 统计学 2021-08-02 Jeanett S. Pelck , Rodrigo Labouriau

Flip graphs of combinatorial and geometric objects are at the heart of many deep structural insights and connections between different branches of discrete mathematics and computer science. They also provide a natural framework for the…

Symmetry-enriched topological (SET) phases combine intrinsic topological order with global symmetries, giving rise to novel symmetry phenomena. While SET phases with Abelian anyons are relatively well understood, those involving nonabelian…

强关联电子 · 物理学 2026-03-12 Nianrui Fu , Siyuan Wang , Yu Zhao , Yidun Wan

Graph Convolutional Networks (GCNs) have made significant advances in semi-supervised learning, especially for classification tasks. However, existing GCN based methods have two main drawbacks. First, to increase the receptive field and…

计算机视觉与模式识别 · 计算机科学 2019-11-13 Qikui Zhu , Bo Du , Pingkun Yan

We give a brief expository discussion on the holographic correspondence of correlation functions in the large J limit of AdS/CFT conjecture. We first review our proposals on the interpretation of the so-called GKPW relation in the large J…

高能物理 - 理论 · 物理学 2008-11-26 Tamiaki Yoneya

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

高能物理 - 理论 · 物理学 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

Dictionary learning is a key tool for representation learning, that explains the data as linear combination of few basic elements. Yet, this analysis is not amenable in the context of graph learning, as graphs usually belong to different…

机器学习 · 计算机科学 2021-09-21 Cédric Vincent-Cuaz , Titouan Vayer , Rémi Flamary , Marco Corneli , Nicolas Courty

We construct flat 3-webs via semi-simple geometric Frobenius manifolds of dimension three and give geometric interpretation of the Chern connection of the web. These webs turned out to be biholomorphic to the characteristic webs on the…

微分几何 · 数学 2015-05-30 Sergey I. Agafonov

Speech emotion recognition (SER) is an essential part of human-computer interaction. In this paper, we propose an SER network based on a Graph Isomorphism Network with Weighted Multiple Aggregators (WMA-GIN), which can effectively handle…

音频与语音处理 · 电气工程与系统科学 2022-11-02 Ying Hu , Yuwu Tang , Hao Huang , Liang He

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

We investigate the problem of estimating the structure of a weighted network from repeated measurements of a Gaussian Graphical Model (GGM) on the network. In this vein, we consider GGMs whose covariance structures align with the geometry…

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding…

高能物理 - 理论 · 物理学 2015-06-12 Yuji Satoh

We introduce a new combinatorial object called a web world that consists of a set of web diagrams. The diagrams of a web world are generalizations of graphs, and each is built on the same underlying graph. Instead of ordinary vertices the…

组合数学 · 数学 2013-01-30 Mark Dukes , Einan Gardi , Einar Steingrimsson , Chris D. White

Motivation: Networks underlie the generation and interpretation of many biological datasets: gene networks shed light on the regulatory structure of the genome, and cell networks can capture structure of the tumor micro-environment.…

机器学习 · 统计学 2026-03-18 Bailey Andrew , Erica L. Harris , James A. Poulter , David R. Westhead , Luisa Cutillo

While the celebrated graph neural networks yield effective representations for individual nodes of a graph, there has been relatively less success in extending to the task of graph similarity learning. Recent work on graph similarity…

机器学习 · 计算机科学 2021-08-20 Xiang Ling , Lingfei Wu , Saizhuo Wang , Tengfei Ma , Fangli Xu , Alex X. Liu , Chunming Wu , Shouling Ji

We develop graphlet analysis for multiplex networks and discuss how this analysis can be extended to multilayer and multilevel networks as well as to graphs with node and/or link categorical attributes. The analysis has been adapted for two…

社会与信息网络 · 计算机科学 2019-12-20 Tamara Dimitrova , Kristijan Petrovski , Ljupco Kocarev

We describe a web of well-known dualities connecting quantum field theories in $d=1+1$ dimensions. The web is constructed by gauging ${\bf Z}_2$ global symmetries and includes a number of perennial favourites such as the Jordan-Wigner…

高能物理 - 理论 · 物理学 2019-10-08 Andreas Karch , David Tong , Carl Turner

We examine soft gluon physics, focusing on recently developed path integral methods. Two example applications of this technique are presented, namely the classification of soft gluon amplitudes beyond the eikonal approximation, and the…

高能物理 - 唯象学 · 物理学 2011-05-20 Chris D. White

We performed a detailed analysis of the process $e^+e^-\to \ell \nu q\bar{q}'$ to determine its sensitivity to anomalous trilinear gauge boson couplings of the $WW\gamma$ and $WWZ$ vertices and how the sensitivity varies with energy and…

高能物理 - 唯象学 · 物理学 2009-10-28 Mikulas Gintner , Stephen Godfrey

The amplitude for multiple soft gluon emissions, ordered in their relative softness, can be written as a product of infrared (IR) divergent loop-expanded soft gluon currents and the matrix elements. In a more recent work, Angeles-Martinez,…

高能物理 - 唯象学 · 物理学 2022-08-18 Aditya Pathak