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We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

In the context of learning to map an input $I$ to a function $h_I:\mathcal{X}\to \mathbb{R}$, two alternative methods are compared: (i) an embedding-based method, which learns a fixed function in which $I$ is encoded as a conditioning…

Machine Learning · Computer Science 2020-11-03 Tomer Galanti , Lior Wolf

Dynamic community detection provides a coherent description of network clusters over time, allowing one to track the growth and death of communities as the network evolves. However, modularity maximization, a popular method for performing…

Physics and Society · Physics 2018-05-25 Michael Vaiana , Sarah F. Muldoon

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

Qualifying new detectors in test beam environments presents a challenging setting that requires stable operation of diverse devices, often employing multiple data acquisition systems. Changes to these setups are frequent, such as using…

Instrumentation and Detectors · Physics 2026-04-29 Stephan Lachnit

Financial spillovers in interconnected systems, such as global banking networks, require tools that capture temporal and frequency dynamics, while incorporating the underlying network topology. While current network time series models are…

Methodology · Statistics 2026-04-07 Cristian F. Jiménez-Varón , Marina I. Knight

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Formal verification provides critical security assurances for neural networks, yet its practical application suffers from the long verification time. This work introduces a novel method for training verification-friendly neural networks,…

Machine Learning · Computer Science 2024-12-31 Zongxin Liu , Zhe Zhao , Fu Song , Jun Sun , Pengfei Yang , Xiaowei Huang , Lijun Zhang

Consider a sensor network made of remote nodes connected to a common fusion center. In a recent work Blum and Sadler [1] propose the idea of ordered transmissions -sensors with more informative samples deliver their messages first- and…

Information Theory · Computer Science 2011-03-29 Paolo Braca , Stefano Marano , Vincenzo Matta

A fundamental premise of statistical physics is that the particles in a physical system are interchangeable, and hence the state of each specific component is representative of the system as a whole. This assumption breaks down for complex…

Physics and Society · Physics 2025-12-16 Neil G. MacLaren , Baruch Barzel , Naoki Masuda

We present a novel graph embedding space (i.e., a set of measures on graphs) for performing statistical analyses of networks. Key improvements over existing approaches include discovery of "motif-hubs" (multiple overlapping significant…

Disordered Systems and Neural Networks · Physics 2007-05-23 Etay Ziv , Robin Koytcheff , Manuel Middendorf , Chris Wiggins

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

The network of networks(NON) research is focused on studying the properties of n interdependent networks which is ubiquitous in the real world. Identifying the influential nodes in the network of networks is theoretical and practical…

Social and Information Networks · Computer Science 2015-01-26 Meizhu Li , Qi Zhang , Qi Liu , Yong Deng

Vital node identification is the problem of finding nodes of highest importance in complex networks. This problem has crucial applications in various contexts such as viral marketing or controlling the propagation of virus or rumours in…

Social and Information Networks · Computer Science 2022-02-15 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

Neurons and Cognition · Quantitative Biology 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

Most traditional false data injection attack (FDIA) detection approaches rely on a key assumption, i.e., the power system can be accurately modeled. However, the transmission line parameters are dynamic and cannot be accurately known during…

Signal Processing · Electrical Eng. & Systems 2021-09-09 Bowen Xu , Fanghong Guo , Changyun Wen , Ruilong Deng , Wen-An Zhang

This paper addresses the problem of transferring useful knowledge from a source network to predict node labels in a newly formed target network. While existing transfer learning research has primarily focused on vector-based data, in which…

Machine Learning · Computer Science 2016-11-15 Meng Fang , Jie Yin , Xingquan Zhu

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen

This paper develops a new analytical model to estimate real-time variations in grid frequency and voltages resulting from dynamic network reconfiguration (DNR). In the proposed model, switching operations are considered as discrete…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Jae-Young Park , Young-Jin Kim

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate