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Related papers: Stability Indicators in Network Reconstruction

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Deep learning, due to its unprecedented success in tasks such as image classification, has emerged as a new tool in image reconstruction with potential to change the field. In this paper we demonstrate a crucial phenomenon: deep learning…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Vegard Antun , Francesco Renna , Clarice Poon , Ben Adcock , Anders C. Hansen

The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can…

Chaotic Dynamics · Physics 2018-04-17 Jeremie Fish , Jie Sun

Discrete rearranging patterns include cellular patterns, for instance liquid foams, biological tissues, grains in polycrystals; assemblies of particles such as beads, granular materials, colloids, molecules, atoms; and interconnected…

Soft Condensed Matter · Physics 2009-11-13 François Graner , B. Dollet , Christophe Raufaste , Philippe Marmottant

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

A lack of software reproducibility has become increasingly apparent in the last several years, calling into question the validity of scientific findings affected by published tools. Reproducibility issues may have numerous sources of error,…

Neurons and Cognition · Quantitative Biology 2020-04-23 Gregory Kiar , Pablo de Oliveira Castro , Pierre Rioux , Eric Petit , Shawn T. Brown , Alan C. Evans , Tristan Glatard

We study the design of resilient and reliable communication networks in which a signal can be transferred only up to a limited distance before its quality falls below an acceptable threshold. When excessive signal degradation occurs,…

Machine Learning · Computer Science 2026-02-13 Mohammad Khosravi , Setareh Maghsudi

This paper uses the notion of algorithmic stability to derive novel generalization bounds for several families of transductive regression algorithms, both by using convexity and closed-form solutions. Our analysis helps compare the…

Machine Learning · Computer Science 2009-04-07 Corinna Cortes , Mehryar Mohri , Dmitry Pechyony , Ashish Rastogi

We consider a deep structured linear network under sparsity constraints. We study sharp conditions guaranteeing the stability of the optimal parameters defining the network. More precisely, we provide sharp conditions on the network…

Optimization and Control · Mathematics 2023-02-03 Francois Malgouyres

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions and abrupt resetting events to a set of reference values. The inclusion of the resetting mechanism not only provides the…

Statistical Mechanics · Physics 2022-12-21 Oriol Artime

Estimation of structure, such as in variable selection, graphical modelling or cluster analysis is notoriously difficult, especially for high-dimensional data. We introduce stability selection. It is based on subsampling in combination with…

Methodology · Statistics 2009-05-16 Nicolai Meinshausen , Peter Buehlmann

Over the past decade network theory has been applied successfully to the study of a variety of complex adaptive systems. However, the application of these techniques to non-human social networks has several shortfalls. Firstly, in most…

Populations and Evolution · Quantitative Biology 2009-03-10 David Lusseau , Hal Whitehead , Shane Gero

Homeostasis is widely observed in biological systems and refers to their ability to maintain an output quantity approximately constant despite variations in external disturbances. Mathematically, homeostasis can be formulated through an…

Molecular Networks · Quantitative Biology 2026-03-11 Xinni Lin , Fernando Antoneli , Yangyang Wang

Many modern datasets don't fit neatly into $n \times p$ matrices, but most techniques for measuring statistical stability expect rectangular data. We study methods for stability assessment on non-rectangular data, using statistical learning…

Computation · Statistics 2021-02-23 Kris Sankaran

A central question of network science is how functional properties of systems arise from their structure. For networked dynamical systems, structure is typically quantified with network measures. A functional property that is of theoretical…

Adaptation and Self-Organizing Systems · Physics 2024-02-28 Christian Nauck , Michael Lindner , Nora Molkenthin , Jürgen Kurths , Eckehard Schöll , Jörg Raisch , Frank Hellmann

Binary neural networks (BNNs) have received ever-increasing popularity for their great capability of reducing storage burden as well as quickening inference time. However, there is a severe performance drop compared with real-valued…

Machine Learning · Computer Science 2023-02-07 Sheng Xu , Yanjing Li , Teli Ma , Mingbao Lin , Hao Dong , Baochang Zhang , Peng Gao , Jinhu Lv

Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

Physics and Society · Physics 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

Accurate knowledge of power grid topology is a prerequisite for effective state estimation and grid stability. While data-driven methods for topology reconstruction exist, the minimum requirements for measurement quality, specifically…

Physics and Society · Physics 2026-05-13 Daniel T. Speckhard

We study the stability of wireless networks under stochastic arrival processes of packets, and design efficient, distributed algorithms that achieve stability in the SINR (Signal to Interference and Noise Ratio) interference model.…

Networking and Internet Architecture · Computer Science 2012-10-18 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

Existing performance measures rank delineation algorithms inconsistently, which makes it difficult to decide which one is best in any given situation. We show that these inconsistencies stem from design flaws that make the metrics…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Leonardo Citraro , Mateusz Koziński , Pascal Fua

Many quantities that characterize network elements are defined in an explicit form and calculated directly from the network structure; examples of include several centrality measures like degree, closeness, or betweenness. However, there…

Physics and Society · Physics 2026-01-08 János Török , Takashi Shimada , Fumiko Ogushi , Kata Tunyogi , János Kertész , Kimmo Kaski
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