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Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

密码学与安全 · 计算机科学 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

Inference and prediction are fundamental to the study of complex systems, where network data are often incomplete, inaccurate or obtained indirectly. In this paper, we review recent advances in network sampling and comparison, as well as in…

统计力学 · 物理学 2025-12-09 Francisco A. Rodrigues

Detecting new information and events in a dynamic network by probing individual nodes has many practical applications: discovering new webpages, analyzing influence properties in network, and detecting failure propagation in electronic…

社会与信息网络 · 计算机科学 2015-07-30 Ahmad Mahmoody , Matteo Riondato , Eli Upfal

A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

物理与社会 · 物理学 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

动力系统 · 数学 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

数据分析、统计与概率 · 物理学 2008-12-17 J. Wang , C. -H. Lai

We consider the problem of reconstructing the state of a network of nonlinear dynamical systems in the presence of directed higher-order interactions. Grounded on analytical convergence results, we propose an algorithmic observer design…

系统与控制 · 电气工程与系统科学 2026-05-12 Roberto Rizzello , Davide Salzano , Stefano Boccaletti , Pietro De Lellis

Self-replication is a key aspect of biological life that has been largely overlooked in Artificial Intelligence systems. Here we describe how to build and train self-replicating neural networks. The network replicates itself by learning to…

人工智能 · 计算机科学 2018-05-28 Oscar Chang , Hod Lipson

Social relationships can be divided into different classes based on the regularity with which they occur and the similarity among them. Thus, rare and somewhat similar relationships are random and cause noise in a social network, thus…

社会与信息网络 · 计算机科学 2018-10-08 Jeancarlo Campos Leão , Michele Amaral Brandão , Pedro O. S. Vaz de Melo , Alberto H. F. Laender

Modern networks are large, highly complex and dynamic. Add to that the mobility of the agents comprising many of these networks. It is difficult or even impossible for such systems to be managed centrally in an efficient manner. It is…

分布式、并行与集群计算 · 计算机科学 2012-06-07 Amitabh Trehan

How can we uncover the natural communities in a real network that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new community detection algorithm, called Attractor, which…

社会与信息网络 · 计算机科学 2014-09-30 Junming Shao , Zhichao Han , Qinli Yang

Phylogenetic networks are used to represent evolutionary scenarios in biology and linguistics. To find the most probable scenario, it may be necessary to compare candidate networks, to distinguish different networks, and to see when one…

组合数学 · 数学 2020-04-10 Remie Janssen , Yukihiro Murakami

Designing plausible network models typically requires scholars to form a priori intuitions on the key drivers of network formation. Oftentimes, these intuitions are supported by the statistical estimation of a selection of network evolution…

社会与信息网络 · 计算机科学 2019-07-01 Telmo Menezes , Camille Roth

Network reconstruction is the first step towards understanding, diagnosing and controlling the dynamics of complex networked systems. It allows us to infer properties of the interaction matrix, which characterizes how nodes in a system…

系统与控制 · 计算机科学 2016-01-12 Marco Tulio Angulo , Jaime A. Moreno , Albert-László Barabási , Yang-Yu Liu

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

物理与社会 · 物理学 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

The problem of link prediction, predicting if two nodes in a network have a connection between them, is a theoretical problem with numerous field-agnostic real-world applications. This paper investigates the efficacy of three classes of…

社会与信息网络 · 计算机科学 2023-06-23 Vivian Feng

We propose a non-parametric link prediction algorithm for a sequence of graph snapshots over time. The model predicts links based on the features of its endpoints, as well as those of the local neighborhood around the endpoints. This allows…

机器学习 · 计算机科学 2012-07-03 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan

To understand the formation, evolution, and function of complex systems, it is crucial to understand the internal organization of their interaction networks. Partly due to the impossibility of visualizing large complex networks, resolving…

物理与社会 · 物理学 2011-11-30 Takashi Nishikawa , Adilson E. Motter

Community structure is pervasive in various real-world networks, portraying the strong local clustering of nodes. Unveiling the community structure of a network is deemed to a crucial step towards understanding the dynamics on the network.…

物理与社会 · 物理学 2024-10-30 Weihua Zhan , Lei Deng , Jihong Guan , Jun Niu

The paper deals with the problem of reconstructing the topological structure of a network of dynamical systems. A distance function is defined in order to evaluate the "closeness" of two processes and a few useful mathematical properties…

混沌动力学 · 物理学 2008-12-02 Donatello W. Materassi , Giacomo W. Innocenti