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This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

Optimization and Control · Mathematics 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

This paper considers the problem of inferring an unknown network of dynamical systems driven by unknown, intrinsic, noise inputs. Equivalently we seek to identify direct causal dependencies among manifest variables only from observations of…

Systems and Control · Computer Science 2014-12-22 David Hayden , Ye Yuan , Jorge Goncalves

Structured pruning methods are developed to bridge the gap between the massive scale of neural networks and the limited hardware resources. Most current structured pruning methods rely on training datasets to fine-tune the compressed model,…

Machine Learning · Computer Science 2024-03-14 Siqi Li , Jun Chen , Jingyang Xiang , Chengrui Zhu , Yong Liu

We present a novel method to reconstruct complex network from partial information. We assume to know the links only for a subset of the nodes and to know some non-topological quantity (fitness) characterising every node. The missing links…

Physics and Society · Physics 2015-06-11 Nicoló Musmeci , Stefano Battiston , Guido Caldarelli , Michelangelo Puliga , Andrea Gabrielli

The World Trade Web (WTW) is the network of international trade relationships among world countries. Characterizing both the local link weights (observed trade volumes) and the global network structure (large-scale topology) of the WTW via…

Physics and Society · Physics 2022-12-23 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

Reconstructing a network of dynamic systems from observational data is an active area of research. Many approaches guarantee a consistent reconstruction under the relatively strong assumption that the network dynamics is governed by…

Systems and Control · Electrical Eng. & Systems 2020-11-12 Mihaela Dimovska , Donatello Materassi

The interdependent nature of the global economy has become stronger with increases in international trade and investment. We propose a new model to reconstruct the international trade network and associated cost network by maximizing…

Physics and Society · Physics 2018-06-05 Yuichi Ikeda , Hiroshi Iyetomi

The Cluster Variation Method known in statistical mechanics and condensed matter is revived for weighted bipartite networks. The decomposition of a Hamiltonian through a finite number of components, whence serving to define variable…

Physics and Society · Physics 2010-03-16 Marcel Ausloos , Mircea Gligor

We develop a network reconstruction model based on entropy maximization considering the sparsity of networks. We reconstruct the interbank network in Japan from financial data in individual banks' balance sheets using the developed…

General Economics · Economics 2021-07-09 Yuichi Ikeda , Hidetoshi Takeda

In the study of economic networks, econometric approaches interpret the traditional Gravity Model specification as the expected link weight coming from a probability distribution whose functional form can be chosen arbitrarily, while…

Physics and Society · Physics 2024-05-15 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

We present a statistical framework to benchmark the performance of reconstruction algorithms for linear inverse problems, in particular, neural-network-based methods that require large quantities of training data. We generate synthetic…

Signal Processing · Electrical Eng. & Systems 2023-07-05 Pakshal Bohra , Pol del Aguila Pla , Jean-François Giovannelli , Michael Unser

Effectively preserving both the structural and dynamical properties during the reduction of complex networks remains a significant research topic. Existing network reduction methods based on renormalization group or sampling often face…

Social and Information Networks · Computer Science 2025-07-15 Dan Chen , Housheng Su , Yong Wang , Jie Liu

To provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions between topological states. This enables…

Statistical Mechanics · Physics 2007-05-23 Imre Derenyi , Illes Farkas , Gergely Palla , Tamas Vicsek

Industrial anomaly detection is a challenging open-set task that aims to identify unknown anomalous patterns deviating from normal data distribution. To avoid the significant memory consumption and limited generalizability brought by…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Qishan Wang , Haofeng Wang , Shuyong Gao , Jia Guo , Li Xiong , Jiaqi Li , Dengxuan Bai , Wenqiang Zhang

Functional complex networks have meant a pivotal change in the way we understand complex systems, being the most outstanding one the human brain. These networks have classically been reconstructed using a frequentist approach that, while…

Data Analysis, Statistics and Probability · Physics 2018-03-14 Massimiliano Zanin , Seddik Belkoura , Javier Gomez , Cesar Alfaro , Javier Cano

A central challenge in financial economics is understanding how credit networks form under informational noise. We introduce the concept of topological capital, arguing that banks increasingly rely on topological certification, interpreting…

General Economics · Economics 2026-03-16 Anna Pirogova , Anna Mancini , Tiziano Squartini , Giulio Cimini

Energy efficiency and reliability are vital design requirements of recent industrial networking solutions. Increased energy consumption, poor data access rates and unpredictable end-to-end data access latencies are catastrophic when…

Networking and Internet Architecture · Computer Science 2025-02-24 Theofanis P. Raptis , Andrea Passarella , Marco Conti

We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random…

Chaotic Dynamics · Physics 2015-05-20 Zoran Levnajić , Arkady Pikovsky

A systematic assessment of global neural network connectivity through direct electrophysiological assays has remained technically unfeasible even in dissociated neuronal cultures. We introduce an improved algorithmic approach based on…

Neurons and Cognition · Quantitative Biology 2015-06-03 Olav Stetter , Demian Battaglia , Jordi Soriano , Theo Geisel

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
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