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Broadband frequency-selective fading channels usually have the inherent sparse nature. By exploiting the sparsity, adaptive sparse channel estimation (ASCE) algorithms, e.g., least mean square with reweighted L1-norm constraint (LMS-RL1)…

Information Theory · Computer Science 2015-04-29 Guan Gui , Li Xu

A fundamental problem associated with the task of network reconstruction from dynamical or behavioral data consists in determining the most appropriate model complexity in a manner that prevents overfitting, and produces an inferred network…

Machine Learning · Statistics 2025-03-24 Tiago P. Peixoto

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

Systems and Control · Electrical Eng. & Systems 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

We consider the problem of learning the link parameters as well as the structure of a binary-valued pairwise Markov model. Under sparsity assumption, we propose a method based on $l_1$- regularized logistic regression, which estimate…

Machine Learning · Statistics 2020-02-27 Daniela De Canditiis

We develop a real-time anomaly detection algorithm for directed activity on large, sparse networks. We model the propensity for future activity using a dynamic logistic model with interaction terms for sender- and receiver-specific latent…

Methodology · Statistics 2021-02-01 Wesley Lee , Tyler H. McCormick , Joshua Neil , Cole Sodja , Yanran Cui

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

This paper studies the observability radius of network systems, which measures the robustness of a network to perturbations of the edges. We consider linear networks, where the dynamics are described by a weighted adjacency matrix, and…

Systems and Control · Computer Science 2016-12-20 Gianluca Bianchin , Paolo Frasca , Andrea Gasparri , Fabio Pasqualetti

Sparsification aims at extracting a reduced core of associations that best preserves both the dynamics and topology of networks while reducing the computational cost of simulations. We show that the semi-metric topology of complex networks…

Physics and Society · Physics 2025-06-05 David Soriano Paños , Felipe Xavier Costa , Luis M. Rocha

The identification of distribution network topology and parameters is a critical problem that lays the foundation for improving network efficiency, enhancing reliability, and increasing its capacity to host distributed energy resources.…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Ognjen Stanojev , Lucien Werner , Steven Low , Gabriela Hug

The selection of nodes that can serve as cluster heads, local sinks and gateways is a critical challenge in distributed sensor and communication networks. This paper presents a novel framework for identifying a minimal set of nexus nodes to…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Souvik Paul , Iván Alexander Morales Sandoval , Giuseppe Thadeu Freitas de Abreu

The CNNs have achieved a state-of-the-art performance in many applications. Recent studies illustrate that CNN's recognition accuracy drops drastically if images are noise corrupted. We focus on the problem of robust recognition accuracy of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Sergey Tarasenko , Fumihiko Takahashi

We study network loss tomography based on observing average loss rates over a set of paths forming a tree -- a severely underdetermined linear problem for the unknown link loss probabilities. We examine in detail the role of sparsity as a…

Networking and Internet Architecture · Computer Science 2015-03-19 Vijay Arya , Darryl Veitch

We propose a method that simultaneously identifies a linear time-invariant model of a building's temperature dynamics and a transformed version of the unmeasured disturbance affecting the building. Our method uses l1-regularization to…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Tingting Zeng , Jonathan Brooks , Prabir Barooah

Data collected over networks can be modelled as noisy observations of an unknown function over the nodes of a graph or network structure, fully described by its nodes and their connections, the edges. In this context, function estimation…

Methodology · Statistics 2024-10-18 Dingjia Cao , Marina I. Knight , Guy P. Nason

Real-world networks carry all kinds of noise, resulting in numerous challenges for community detection. Further improving the performance and robustness of community detection has attracted significant attention. This paper considers edge…

Social and Information Networks · Computer Science 2024-12-24 Kai Wu , Ziang Xie , Jing Liu

Lagrangian particle tracking is essential for characterizing turbulent flows, but inferring particle acceleration from inherently noisy position data remains a significant challenge. Fluid particles in turbulence experience extreme,…

Data Analysis, Statistics and Probability · Physics 2026-02-27 Griffin M Kearney , Kasey M Laurent , Makan Fardad

Inferring network topology from smooth signals is a significant problem in data science and engineering. A common challenge in real-world scenarios is the availability of only partially observed nodes. While some studies have considered…

Machine Learning · Computer Science 2025-07-08 Chuansen Peng , Hanning Tang , Zhiguo Wang , Xiaojing Shen

We propose a novel model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix that models the…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Hancheng Min , Enrique Mallada

We propose a novel differentiable reformulation of the linearly-constrained $\ell_1$ minimization problem, also known as the basis pursuit problem. The reformulation is inspired by the Laplacian paradigm of network theory and leads to a new…

Data Structures and Algorithms · Computer Science 2023-05-16 Vincenzo Bonifaci
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