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In this work, we assess the theoretical limitations of determining guaranteed stability and accuracy of neural networks in classification tasks. We consider classical distribution-agnostic framework and algorithms minimising empirical risks…

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

Control of systems where the information between the controller, actuator, and sensor can be lost or delayed can be challenging with respect to stability and performance. One way to overcome the resulting problems is the use of prediction…

Optimization and Control · Mathematics 2011-09-27 Rolf Findeisen , Lars Grüne , Jürgen Pannek , Paolo Varutti

Processes on networks consist of two interdependent parts: the network topology, consisting of the links between nodes, and the dynamics, specified by some governing equations. This work considers the prediction of the future dynamics on an…

Physics and Society · Physics 2022-11-08 Bastian Prasse , Piet Van Mieghem

This paper deals with the design of scheduling logics for Networked Control Systems (NCSs) whose communication networks have limited capacity. We assume that only a subset of the plants can communicate with their controllers at any time…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Meghna Singh , Atreyee Kundu

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

Multiclass FIFO is used in communication networks such as in input-queueing routers/switches and in wireless networks. For the concern of providing service guarantees in such networks, it is crucial to have analytical results, e.g. bounds,…

Performance · Computer Science 2013-06-21 Yuming Jiang

Machine learning inference is becoming a core building block for interactive web applications. As a result, the underlying model serving systems on which these applications depend must consistently meet low latency targets. Existing model…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-27 Arpan Gujarati , Reza Karimi , Safya Alzayat , Wei Hao , Antoine Kaufmann , Ymir Vigfusson , Jonathan Mace

Many complex networks display remarkable resilience under external perturbations, internal failures and environmental changes, yet they can swiftly deteriorate into dysfunction upon the removal of a few keystone nodes. Discovering theories…

Physics and Society · Physics 2025-07-15 Yu Zheng , Jingtao Ding , Depeng Jin , Jianxi Gao , Yong Li

For massive and heterogeneous modern datasets, it is of fundamental interest to provide guarantees on the accuracy of estimation when computational resources are limited. In the application of learning to rank, we provide a hierarchy of…

Machine Learning · Computer Science 2016-08-23 Ashish Khetan , Sewoong Oh

Reservoir computing has emerged as a powerful framework for time series modelling and forecasting including the prediction of discontinuous transitions. However, the mechanism behind its success is not yet fully understood. This letter…

Chaotic Dynamics · Physics 2025-10-16 Dishant Sisodia , Sarika Jalan

The ability to design a transport network such that commodities are brought from suppliers to consumers in a steady, optimal, and stable way is of great importance for nowadays distribution systems. In this Letter, by using the circuit laws…

Physics and Society · Physics 2015-06-17 Nicolás Rubido , Celso Grebogi , Murilo S. Baptista

Dynamics in biological networks are in general robust against several perturbations. We investigate a coupled map network as a model motivated by gene regulatory networks and design systems which are robust against phenotypic perturbations…

Molecular Networks · Quantitative Biology 2015-03-20 Nen Saito , Macoto Kikuchi

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

This work considers the robustness of uncertain consensus networks. The first set of results studies the stability properties of consensus networks with negative edge weights. We show that if either the negative weight edges form a cut in…

Optimization and Control · Mathematics 2015-03-03 Daniel Zelazo , Mathias Bürger

In modern network design, "efficiency" is often conflated with raw performance metrics like latency or aggregate throughput. This paper proposes a resource-centric definition of efficiency, isolating the hardware cost required to maintain a…

Networking and Internet Architecture · Computer Science 2026-01-28 Jia Xu Wei , Wei Wei

The main result relates to structured robust stability analysis of an input-output model for networks with link uncertainty. It constitutes a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Simone Mariano , Michael Cantoni

Reservoir computing - information processing based on untrained recurrent neural networks with random connections - is expected to depend on the nonlinear properties of the neurons and the resulting oscillatory, chaotic, or fixpoint…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Coupled oscillator networks show a complex interrelations between topological characteristics of the network and the nonlinear stability of single nodes with respect to large but realistic perturbations. We extend previous results on these…

Chaotic Dynamics · Physics 2017-04-05 Jan Nitzbon , Paul Schultz , Jobst Heitzig , Jürgen Kurths , Frank Hellmann

With the advent of standards for deterministic network behavior, synthesizing network designs under delay constraints becomes the natural next task to tackle. Network Calculus (NC) has become a key method for validating industrial networks,…

Networking and Internet Architecture · Computer Science 2023-07-27 Fabien Geyer , Steffen Bondorf