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Multiresolution analysis and matrix factorization are foundational tools in computer vision. In this work, we study the interface between these two distinct topics and obtain techniques to uncover hierarchical block structure in symmetric…

Computer Vision and Pattern Recognition · Computer Science 2017-05-17 Vamsi K. Ithapu , Risi Kondor , Sterling C. Johnson , Vikas Singh

Modularity is a quantity which has been introduced in the context of complex networks in order to quantify how close a network is to an ideal modular network in which the nodes form small interconnected communities that are joined together…

Probability · Mathematics 2021-04-05 Jordan Chellig , Nikolaos Fountoulakis , Fiona Skerman

The constant increase in the complexity of data networks motivates the search for strategies that make it possible to reduce current monitoring times. This paper shows the way in which multilayer network representation and the application…

Networking and Internet Architecture · Computer Science 2021-06-08 Luz Angela Aristizábal Q , Nicolás Toro G

Automatic modulation classification enables intelligent communications and it is of crucial importance in today's and future wireless communication networks. Although many automatic modulation classification schemes have been proposed, they…

Signal Processing · Electrical Eng. & Systems 2021-06-01 Hao Zhang , Fuhui Zhou , Qihui Wu , Wei Wu , Rose Qingyang Hu

Real-world networks typically exhibit several aspects, or layers, of interactions among their nodes. By permuting the role of the nodes and the layers, we establish a new criterion to construct the dual of a network. This approach allows to…

Physics and Society · Physics 2024-10-01 Charley Presigny , Marie-Constance Corsi , Fabrizio De Vico Fallani

Index Modulations, in the form of Spatial Modulation or Polarized Modulation, are gaining traction for both satellite and terrestrial next generation communication systems. Adaptive Index Modulation based links are needed to fully exploit…

Signal Processing · Electrical Eng. & Systems 2019-07-01 Anxo Tato , Carlos Mosquera , Pol Henarejos , Ana Pérez-Neira

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

Data Analysis, Statistics and Probability · Physics 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

The fine-tuning of deep pre-trained models has revealed compositional properties, with multiple specialized modules that can be arbitrarily composed into a single, multi-task model. However, identifying the conditions that promote…

Artificial Intelligence · Computer Science 2025-03-04 Angelo Porrello , Lorenzo Bonicelli , Pietro Buzzega , Monica Millunzi , Simone Calderara , Rita Cucchiara

Compositionality is a key strategy for addressing combinatorial complexity and the curse of dimensionality. Recent work has shown that compositional solutions can be learned and offer substantial gains across a variety of domains, including…

Machine Learning · Computer Science 2019-04-30 Clemens Rosenbaum , Ignacio Cases , Matthew Riemer , Tim Klinger

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

Neural networks (NNs) whose subnetworks implement reusable functions are expected to offer numerous advantages, including compositionality through efficient recombination of functional building blocks, interpretability, preventing…

Neural and Evolutionary Computing · Computer Science 2021-03-09 Róbert Csordás , Sjoerd van Steenkiste , Jürgen Schmidhuber

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

We introduce a two layer network model for social coordination incorporating two relevant ingredients: a) different networks of interaction to learn and to obtain a payoff , and b) decision making processes based both on social and…

Physics and Society · Physics 2014-10-17 Haydee Lugo , Maxi San Miguel

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Recent theoretical and experimental work in neuroscience has focused on the representational and dynamical character of neural manifolds --subspaces in neural activity space wherein many neurons coactivate. Importantly, neural populations…

Neurons and Cognition · Quantitative Biology 2024-10-21 Jacob Tanner , Sina Mansour L. , Ludovico Coletta , Alessandro Gozzi , Richard F. Betzel

Modularization is an important architectural principle underlying many types of complex systems. It tends to tame the complexity of systems, to facilitate their management, and to enhance their flexibility with respect to evolution. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-25 Naftaly Minsky

Community structure represents the local organization of complex networks and the single most important feature to extract functional relationships between nodes. In the last years, the problem of community detection has been reformulated…

Physics and Society · Physics 2009-11-13 Santo Fortunato

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

What do societies, the Internet, and the human brain have in common? They are all examples of complex relational systems, whose emerging behaviours are largely determined by the non-trivial networks of interactions among their constituents,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Vito Latora
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