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A common technique to speed up shortest path queries in graphs is to use a bidirectional search, i.e., performing a forward search from the start and a backward search from the destination until a common vertex on a shortest path is found.…

Data Structures and Algorithms · Computer Science 2023-04-04 Thomas Bläsius , Marcus Wilhelm

Verifying and explaining the behavior of neural networks is becoming increasingly important, especially when they are deployed in safety-critical applications. In this paper, we study verification problems for Binarized Neural Networks…

Machine Learning · Computer Science 2021-03-15 Yedi Zhang , Zhe Zhao , Guangke Chen , Fu Song , Taolue Chen

We propose a simple model for a binary decision making process on a graph, motivated by modeling social decision making with cooperative individuals. The model is similar to a random field Ising model or fiber bundle model, but with key…

Physics and Society · Physics 2017-01-20 Andrew Lucas , Ching Hua Lee

In optical WDM networks, since each lightpath can carry a huge mount of traffic, failures may seriously damage the end user applications. Hence fault tolerance becomes an important issue on these networks. The light path which carries…

Networking and Internet Architecture · Computer Science 2009-12-04 G. Ramesh , S. SundaraVadivelu

Dynamic Bayesian networks (DBNs) are a widely used framework for modeling systems whose probabilistic structure evolves over time. Standard inference methods focus on local conditional distributions and can miss larger-scale patterns in how…

Algebraic Topology · Mathematics 2026-05-13 Will Bales , Carmen Rovi

Because of the long planning periods and their long life cycle, railway infrastructure has to be outlined long ahead. At the present, the infrastructure is designed while only little about the intended operation is known. Hence, the…

Computational Complexity · Computer Science 2023-08-02 Nadine Friesen , Tim Sander , Karl Nachtigall , Nils Nießen

We propose a novel methodology for discovering the presence of relationships realized as binary time series between variables in high dimension. To make it visually intuitive, we regard the existence of a relationship as an edge connection,…

Methodology · Statistics 2024-10-07 Masaki Toyoda , Yoshimasa Uematsu

In this paper, we propose an ad-hoc on-demand distance vector routing algorithm for mobile ad-hoc networks taking into account node mobility. Changeable topology of such mobile ad-hoc networks provokes overhead messages in order to search…

Networking and Internet Architecture · Computer Science 2017-06-30 Trung Kien Vu , Sungoh Kwon

The operability of a network concerns its ability to remain operational, despite possible failures in its links or equipment. One may model the network through a graph to evaluate and increase this operability. Its vertices and edges…

Discrete Mathematics · Computer Science 2022-11-17 Carla Silva Oliveira , Fausto Marques Pinheiro Junior , Jose Andre de Moura Brito

The potential of an efficient ride-sharing scheme to significantly reduce traffic congestion, lower emission level, as well as facilitating the introduction of smart cities has been widely demonstrated. This positive thrust however is faced…

Social and Information Networks · Computer Science 2017-06-05 Tal Altshuler , Rachel Katoshevski , Yoram Shiftan

Deterministic routing has emerged as a promising technology for future non-terrestrial networks (NTNs), offering the potential to enhance service performance and optimize resource utilization. However, the dynamic nature of network topology…

Networking and Internet Architecture · Computer Science 2024-01-24 Keyi Shi , Jingchao Wang , Hongyan Li , Kan Wang

In this paper, we study network reliability in relation to a periodic time-dependent utility function that reflects the system's functional performance. When an anomaly occurs, the system incurs a loss of utility that depends on the…

Information Theory · Computer Science 2023-01-16 Ali Maatouk , Fadhel Ayed , Shi Biao , Wenjie Li , Harvey Bao , Enrico Zio

In a wide range of complex networks, the links between the nodes are temporal and may sporadically appear and disappear. This temporality is fundamental to analyze the formation of paths within such networks. Moreover, the presence of the…

Physics and Society · Physics 2017-09-20 Shahriar Etemadi Tajbakhsh , Justin P. Coon , David E. Simmons

We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Zoran Levnajić

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can be expensive from a computational perspective. In industrial…

Machine Learning · Statistics 2021-05-11 Théo Lacombe , Yuichi Ike , Mathieu Carriere , Frédéric Chazal , Marc Glisse , Yuhei Umeda

The Survivable Network Design problem (SNDP) is a well-studied problem, motivated by the design of networks that are robust to faults under the assumption that any subset of edges up to a specific number can fail. We consider non-uniform…

Data Structures and Algorithms · Computer Science 2024-03-26 Chandra Chekuri , Rhea Jain

This work studies two types of computer networking models. The primary focus is to understand the different dynamical phenomena observed in practice due to the presence of severe nonlinearities, delays and widely varying operating…

Networking and Internet Architecture · Computer Science 2025-11-05 Priya Ranjan

We study the reliability maximization problem in WDM networks with random link failures. Reliability in these networks is defined as the probability that the logical network is connected, and it is determined by the underlying lightpath…

Networking and Internet Architecture · Computer Science 2013-01-21 Hyang-Won Lee , Kayi Lee , Eytan Modiano

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

Optimization and Control · Mathematics 2016-11-09 Masaki Ogura , Victor M. Preciado

We consider a discrete-time model of continuous-time distributed optimization over dynamic directed-graphs (digraphs) with applications to distributed learning. Our optimization algorithm works over general strongly connected dynamic…

Optimization and Control · Mathematics 2024-03-27 Mohammadreza Doostmohammadian , Wei Jiang , Muwahida Liaquat , Alireza Aghasi , Houman Zarrabi