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A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global…

适应与自组织系统 · 物理学 2016-06-28 H. Silk , M. Homer , T. Gross

The identification of community structure in a social network is an important problem tackled in the literature of network analysis. There are many solutions to this problem using a static scenario, when facing a dynamic scenario some…

社会与信息网络 · 计算机科学 2021-12-01 Aurélio Ribeiro Costa

Uncovering structural patterns in collaboration networks is key for understanding how knowledge flows and innovation emerges. These networks often exhibit a rich interplay of meso-scale structures, such as communities, core-periphery…

统计方法学 · 统计学 2025-11-25 Sara Geremia , Domenico De Stefano , Michael Fop

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

神经元与认知 · 定量生物学 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

Large-scale systems with inherent heterogeneity often exhibit complex dynamics that are crucial for their functional properties. However, understanding how such heterogeneity shapes these dynamics remains a significant challenge,…

混沌动力学 · 物理学 2024-12-16 Futa Tomita , Jun-nosuke Teramae

Complex networks tend to display communities which are groups of nodes cohesively connected among themselves in one group and sparsely connected to the remainder of the network. Detecting such communities is an important computational…

计算机科学与博弈论 · 计算机科学 2021-02-02 Elham Havvaei , Narsingh Deo

Most community detection algorithms from the literature work as optimization tools that minimize a given \textit{fitness function}, while assuming that each node belongs to a single community. Since there is no hard concept of what a…

神经与进化计算 · 计算机科学 2014-06-11 Fabricio Olivetti de Franca , Guilherme Palermo Coelho

In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear…

机器学习 · 计算机科学 2025-09-09 Priodyuti Pradhan , Amit Reza

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

物理与社会 · 物理学 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

We show that the community structure of a network can be used as a coarse version of its embedding in a hidden space with hyperbolic geometry. The finding emerges from a systematic analysis of several real-world and synthetic networks. We…

物理与社会 · 物理学 2018-08-30 Ali Faqeeh , Saeed Osat , Filippo Radicchi

We present a principled approach for detecting overlapping temporal community structure in dynamic networks. Our method is based on the following framework: find the overlapping temporal community structure that maximizes a quality function…

社会与信息网络 · 计算机科学 2013-03-29 Yudong Chen , Vikas Kawadia , Rahul Urgaonkar

We introduce a methodology for analyzing neural networks through the lens of layer-wise Hessian matrices. The local Hessian of each functional block (layer) is defined as the matrix of second derivatives of a scalar function with respect to…

机器学习 · 计算机科学 2025-11-11 Maxim Bolshim , Alexander Kugaevskikh

Complex interactions between entities are often represented as edges in a network. In practice, the network is often constructed from noisy measurements and inevitably contains some errors. In this paper we consider the problem of…

统计理论 · 数学 2018-12-11 Can M. Le , Keith Levin , Elizaveta Levina

A "community" in a social network is usually understood to be a group of nodes more densely connected with each other than with the rest of the network. This is an important concept in most domains where networks arise: social,…

社会与信息网络 · 计算机科学 2011-12-09 Sanjeev Arora , Rong Ge , Sushant Sachdeva , Grant Schoenebeck

Community definitions usually focus on edges, inside and between the communities. However, the high density of edges within a community determines correlations between nodes going beyond nearest-neighbours, and which are indicated by the…

计算物理 · 物理学 2008-05-21 Alex Arenas , Alberto Fernandez , Santo Fortunato , Sergio Gomez

There has been a surge of interest in community detection in homogeneous single-relational networks which contain only one type of nodes and edges. However, many real-world systems are naturally described as heterogeneous multi-relational…

社会与信息网络 · 计算机科学 2014-07-21 Xin Liu , Weichu Liu , Tsuyoshi Murata , Ken Wakita

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

物理与社会 · 物理学 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Networks have attracted a burst of attention in the last decade, with applications to natural, social, and technological systems. While networks provide a powerful abstraction for investigating relationships and interactions, the…

物理与社会 · 物理学 2010-04-09 Michael J. Barber , Manfred Paier , Thomas Scherngell

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

Demystifying effective connectivity among neuronal populations has become the trend to understand the brain mechanisms of Parkinson's disease, schizophrenia, mild traumatic brain injury, and many other unlisted neurological diseases.…

定量方法 · 定量生物学 2019-09-27 Po-Ya Hsu