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Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Positioning has recently received considerable attention as a key enabler in emerging applications such as extended reality, unmanned aerial vehicles and smart environments. These applications require both data communication and…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Yang Yang , Mingzhe Chen , Yufei Blankenship , Jemin Lee , Zabih Ghassemlooy , Julian Cheng , Shiwen Mao

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

Force-directed layout algorithms are ubiquitously-used tools for network visualisation across a multitude of scientific disciplines. However, they lack theoretical grounding which allows to interpret their outcomes rigorously and can guide…

Social and Information Networks · Computer Science 2025-05-14 Felix Gaisbauer , Armin Pournaki , Sven Banisch , Eckehard Olbrich

Soft Random Geometric Graphs (SRGGs) have been widely applied to various models including those of wireless sensor, communication, social and neural networks. SRGGs are constructed by randomly placing nodes in some space and making pairwise…

Disordered Systems and Neural Networks · Physics 2018-12-05 Pete Pratt , Carl P. Dettmann , Woon Hau Chin

There are many surprising and perhaps counter-intuitive properties of optimization of deep neural networks. We propose and experimentally verify a unified phenomenological model of the loss landscape that incorporates many of them. High…

Machine Learning · Computer Science 2019-06-12 Stanislav Fort , Stanislaw Jastrzebski

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

A random vector functional link network (RVFL) is widely used as a universal approximator for classification and regression problems. The big advantage of RVFL is fast training without backpropagation. This is because the weights and biases…

Machine Learning · Computer Science 2020-03-31 Grzegorz Dudek

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

Soft-thresholding has been widely used in neural networks. Its basic network structure is a two-layer convolution neural network with soft-thresholding. Due to the network's nature of nonlinearity and nonconvexity, the training process…

Machine Learning · Computer Science 2023-04-17 Chunyan Xiong , Mengli Lu , Xiaotong Yu , Jian Cao , Zhong Chen , Di Guo , Xiaobo Qu

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

Artificial Intelligence · Computer Science 2012-05-14 Daniel Andrade , Bernhard Sick

We study the connection between the highly non-convex loss function of a simple model of the fully-connected feed-forward neural network and the Hamiltonian of the spherical spin-glass model under the assumptions of: i) variable…

Machine Learning · Computer Science 2015-01-23 Anna Choromanska , Mikael Henaff , Michael Mathieu , Gérard Ben Arous , Yann LeCun

This paper studies the design of neural network (NN)-based controllers for unknown nonlinear systems, using contraction analysis. A Neural Ordinary Differential Equation (NODE) system is constructed by approximating the unknown draft…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Hao Yin , Claudio De Persis , Bayu Jayawardhana , Santiago Sanchez Escalonilla Plaza

Coverage and connectivity both are important in wireless sensor network (WSN). Coverage means how well an area of interest is being monitored by the deployed network. It depends on sensing model that has been used to design the network…

Information Theory · Computer Science 2014-06-06 Ashraf Hossain , Rashmita Mishra

Ensuring privacy of individuals is of paramount importance to social network analysis research. Previous work assessed anonymity in a network based on the non-uniqueness of a node's ego network. In this work, we show that this approach does…

Social and Information Networks · Computer Science 2025-04-08 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

Terahertz frequencies are an untapped resource for providing high-speed short-range communications. As a result, it is of interest to study the propagation characteristics of terahertz waves and to develop channel models. In previous work…

Signal Processing · Electrical Eng. & Systems 2022-10-17 Thanh Le , Ha Tran , Suresh Singh

Predicting the behavior of a wireless link in terms of, e.g., the frame delivery ratio, is a critical task for optimizing the performance of wireless industrial communication systems. This is because industrial applications are typically…

Networking and Internet Architecture · Computer Science 2024-11-19 Gabriele Formis , Stefano Scanzio , Lukasz Wisniewski , Gianluca Cena

We consider a network of nodes distributed in physical space without physical links communicating through message broadcasting over specified distances. Typically, communication using smaller distances is desirable due to savings in energy…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 May Lim , Dan Braha , Sanith Wijesinghe , Stephenson Tucker , Yaneer Bar-Yam

Tie strength prediction, sometimes named weight prediction, is vital in exploring the diversity of connectivity pattern emerged in networks. Due to the fundamental significance, it has drawn much attention in the field of network analysis…

Social and Information Networks · Computer Science 2020-01-16 Zhen Liu , Hu li , Chao Wang

Edge expansion is a parameter indicating how well-connected a graph is. It is useful for designing robust networks, analysing random walks or information flow through a network and is an important notion in theoretical computer science.…

Probability · Mathematics 2026-01-12 Colin McDiarmid , Katarzyna Rybarczyk , Fiona Skerman , Małgorzata Sulkowska