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The architecture of bipartite networks linking two classes of constituents is affected by the interactions within each class. For the bipartite networks representing the mutualistic relationship between pollinating animals and plants, it…

Populations and Evolution · Quantitative Biology 2012-03-13 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

The information processing abilities of a multilayer neural network with a number of hidden units scaling as the input dimension are studied using statistical mechanics methods. The mapping from the input layer to the hidden units is…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Andreas Engel , Ido Kanter

Brain networks, graphical models such as those constructed from MRI, have been widely used in pathological prediction and analysis of brain functions. Within the complex brain system, differences in neuronal connection strengths parcellate…

Machine Learning · Computer Science 2023-05-09 Wei Dai , Hejie Cui , Xuan Kan , Ying Guo , Sanne van Rooij , Carl Yang

As both machine learning models and the datasets on which they are evaluated have grown in size and complexity, the practice of using a few summary statistics to understand model performance has become increasingly problematic. This is…

We analyze the multilayer architecture of the global input-output network using sectoral trade data (WIOD, 2016 release). With a focus on the mesoscale structure and related properties, our multilayer analysis takes into consideration the…

Econometrics · Economics 2022-11-10 Rosanna Grassi , Paolo Bartesaghi , Gian Paolo Clemente , Duc Thi Luu

Network data is prevalent in numerous big data applications including economics and health networks where it is of prime importance to understand the latent structure of network. In this paper, we model the network using the…

Statistics Theory · Mathematics 2023-08-30 Sohom Bhattacharya , Jianqing Fan , Jikai Hou

Real networks often form interacting parts of larger and more complex systems. Examples can be found in different domains, ranging from the Internet to structural and functional brain networks. Here, we show that these multiplex systems are…

Physics and Society · Physics 2017-09-11 Kaj-Kolja Kleineberg , Marian Boguna , M. Angeles Serrano , Fragkiskos Papadopoulos

We learn multiple hypotheses for related tasks under a latent hierarchical relationship between tasks. We exploit the intuition that for domain adaptation, we wish to share classifier structure, but for multitask learning, we wish to share…

Machine Learning · Computer Science 2014-08-12 Hal Daume

We learn multiple hypotheses for related tasks under a latent hierarchical relationship between tasks. We exploit the intuition that for domain adaptation, we wish to share classifier structure, but for multitask learning, we wish to share…

Machine Learning · Computer Science 2009-07-07 Hal Daumé

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

Human-Computer Interaction · Computer Science 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce a machine learning (ML)-based multiscale modelling framework for modelling hierarchical…

Geophysics · Physics 2022-04-13 Mark Ashworth , Ahmed Elsheikh , Florian Doster

We review theoretical approaches to the understanding of food webs. After an overview of the available food web data, we discuss three different classes of models. The first class comprise static models, which assign links between species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 B. Drossel , A. J. McKane

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

Identifying and explaining the structure of complex networks at different scales has become an important problem across disciplines. At the mesoscale, modular architecture has attracted most of the attention. At the macroscale, other…

Physics and Society · Physics 2018-11-09 María J. Palazzi , Javier Borge-Holthoefer , Claudio Tessone , Albert Solé-Ribalta

Network data has become widespread, larger, and more complex over the years. Traditional network data is dyadic, capturing the relations among pairs of entities. With the need to model interactions among more than two entities, significant…

Social and Information Networks · Computer Science 2025-05-30 Hao Tian , Reza Zafarani

Social scientists have long appreciated that relationships between individuals cannot be described from observing a single domain, and that the structure across domains of interaction can have important effects on outcomes of interest…

General Economics · Economics 2020-05-28 Curtis Atkisson , Piotr J. Górski , Matthew O. Jackson , Janusz A. Hołyst , Raissa M. D'Souza

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Knowledge silos emerge when structural properties of organizational interaction networks limit the diffusion of information. These structural barriers are known to take many forms at different scales - hubs in otherwise sparse…

Physics and Society · Physics 2022-03-03 Laurent Hébert-Dufresne , Guillaume St-Onge , John Meluso , James Bagrow , Antoine Allard

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas