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Computing accurate deterministic performance bounds is a strong need for communication technologies having strong requirements on latency and reliability. Beyond new scheduling protocols such as TSN, the FIFO policy remains at work within…

Performance · Computer Science 2020-10-20 Anne Bouillard

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

Message passing neural networks (MPNNs) are powerful models for node classification but suffer from performance limitations under heterophily (low same-class connectivity) and structural bottlenecks in the graph. We provide a unifying…

Machine Learning · Computer Science 2025-08-26 Jonathan Rubin , Sahil Loomba , Nick S. Jones

In linear time-invariant systems, the sensitivity function to disturbances is designed under a sensitivity tradeoff known as the waterbed effect. To compensate for a quasiperiodic disturbance, a quasiperiodic disturbance observer using time…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Hisayoshi Muramatsu

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

Social and Information Networks · Computer Science 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

Graph rigidity theory is an important tool for examining the solvability of sensor network localization (SNL) problems, and ensuring global convergence of localization algorithms. Along this direction, diverse measurements such as signed…

Optimization and Control · Mathematics 2026-03-19 Yongjie Liu , Gangshan Jing , Long Wang

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

We study the optimization problem of choosing strings of finite length to maximize string submodular functions on string matroids, which is a broader class of problems than maximizing set submodular functions on set matroids. We provide a…

Data Structures and Algorithms · Computer Science 2023-09-08 Brandon Van Over , Bowen Li , Edwin K. P. Chong , Ali Pezeshki

This paper analyzes the impact of user mobility in multi-tier heterogeneous networks. We begin by obtaining the handoff rate for a mobile user in an irregular cellular network with the access point locations modeled as a homogeneous Poisson…

Networking and Internet Architecture · Computer Science 2015-01-09 Sanam Sadr , Raviraj S. Adve

Based on measurements of the Internet topology data, we found out that there are two mechanisms which are necessary for the correct modeling of the Internet topology at the Autonomous Systems (AS) level: the Interactive Growth of new nodes…

Networking and Internet Architecture · Computer Science 2009-09-29 Shi Zhou , Raul J. Mondragon

This work studies the (non)robustness of two-layer neural networks in various high-dimensional linearized regimes. We establish fundamental trade-offs between memorization and robustness, as measured by the Sobolev-seminorm of the model…

Machine Learning · Statistics 2021-06-07 Elvis Dohmatob

An extension of the popular diversity-multiplexing tradeoff framework to the low-SNR (or wideband) regime is proposed. The concept of diversity gain is shown to be redundant in this regime since the outage probability is SNR-independent and…

Information Theory · Computer Science 2015-03-19 Sergey Loyka , Georgy Levin

Web services growth makes the composition process a hard task to solve. This numerous interacting elements can be adequately represented by a network. Discovery and composition can benefit from the knowledge of the network structure. In…

Software Engineering · Computer Science 2013-05-02 Chantal Cherifi , Jean-Francois Santucci

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

We have investigated the role that different connectivity regimes play on the dynamics of a network of Hodgkin-Huxley neurons by computer simulations. The different connectivity topologies exhibit the following features: random connectivity…

Disordered Systems and Neural Networks · Physics 2025-03-24 Luis F. Lago-Fernandez , Ramon Huerta , Fernando Corbacho , Juan A. Siguenza

This letter considers a network where nodes share a wireless channel to work in turn as pulse radars for target detection and as transmitters for data exchange. Radar detection range and network throughput are studied using stochastic…

Networking and Internet Architecture · Computer Science 2018-05-31 Ping Ren , Andrea Munari , Marina Petrova

Motivated by a need to characterize transient behaviors in large network systems in terms of relevant signal norms and worst-case input scenarios, we propose a novel approach based on existing theory for matrix pseudospectra. We extend…

Optimization and Control · Mathematics 2022-10-18 Jonas Hansson , Emma Tegling

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

Chaotic Dynamics · Physics 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

Many biological, technological, and social systems can be effectively described as networks of interacting subsystems. Typically, these networks are not isolated objects, but interact with their environment through both signals and…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Amirhossein Nazerian , Malbor Asllani , Melvyn Tyloo , Wai Lim Ku , Francesco Sorrentino

One of the hallmarks of real networks is their ability to perform increasingly complex tasks as their topology evolves. To explain this, it has been observed that as a network grows certain subsets of the network begin to specialize the…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Leonid Bunimovich , DJ Passey , Dallas Smith , Benjamin Webb