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We introduce a new framework to analyze quantum algorithms with the renormalization group (RG). To this end, we present a detailed analysis of the real-space RG for discrete-time quantum walks on fractal networks and show how deep insights…

Quantum Physics · Physics 2018-01-16 Stefan Boettcher , Shanshan Li

Ubiquitous sensing devices frequently disseminate data among them. The use of a distributed event-based system that decouples publishers from subscribers arises as an ideal candidate to implement the dissemination process. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-27 Cristina Muñoz , Pierre Leone

Vertex-Reinforced Random Walk (VRRW), defined by Pemantle (1988a), is a random process in a continuously changing environment which is more likely to visit states it has visited before. We consider VRRW on arbitrary graphs and show that on…

Probability · Mathematics 2016-09-07 Stanislov Volkov

As interconnected systems proliferate, safeguarding complex infrastructures against an escalating array of cyber threats has become an urgent challenge. The increasing number of vulnerabilities, combined with resource constraints, makes…

Cryptography and Security · Computer Science 2025-02-18 Yuning Jiang , Nay Oo , Qiaoran Meng , Hoon Wei Lim , Biplab Sikdar

Multi-robot path planning is a computational process involving finding paths for each robot from its start to the goal while ensuring collision-free operation. It is widely used in robots and autonomous driving. However, the computational…

Robotics · Computer Science 2023-08-04 Biru Zhang , Jiankun Wang , Max Q. -H. Meng

The potential for machine learning systems to amplify social inequities and unfairness is receiving increasing popular and academic attention. Much recent work has focused on developing algorithmic tools to assess and mitigate such…

To comprehend the hierarchical organization of large integrated systems, we introduce the hierarchical map equation, which reveals multilevel structures in networks. In this information-theoretic approach, we exploit the duality between…

Physics and Society · Physics 2011-04-12 M. Rosvall , C. T. Bergstrom

In this article, we present new random walk methods to solve flow and transport problems in unsaturated/saturated porous media, including coupled flow and transport processes in soils, heterogeneous systems modeled through random hydraulic…

Numerical Analysis · Mathematics 2021-05-14 Nicolae Suciu , Davide Illiano , Alexander Prechtel , Florin A. Radu

Graph neural networks achieve high accuracy in link prediction by jointly leveraging graph topology and node attributes. Topology, however, is represented indirectly; state-of-the-art methods based on subgraph classification label nodes…

Machine Learning · Computer Science 2022-03-17 Liming Pan , Cheng Shi , Ivan Dokmanić

The Random Walks (RW) algorithm is one of the most e - cient and easy-to-use probabilistic segmentation methods. By combining contrast terms with prior terms, it provides accurate segmentations of medical images in a fully automated manner.…

Computer Vision and Pattern Recognition · Computer Science 2013-06-06 Pierre-Yves Baudin , Danny Goodman , Puneet Kumar , Noura Azzabou , Pierre G. Carlier , Nikos Paragios , M. Pawan Kumar

We introduce a strategy of navigation in undirected networks, including regular, random, and complex networks, that is inspired by L\'evy random walks, generalizing previous navigation rules. We obtained exact expressions for the stationary…

Statistical Mechanics · Physics 2012-11-22 A. P. Riascos , José L. Mateos

Network analyses, such as of gene co-expression networks, metabolic networks and ecological networks have become a central approach for the systems-level study of biological data. Several software packages exist for generating and analyzing…

Molecular Networks · Quantitative Biology 2021-04-26 Deisy Morselli Gysi , Andre Voigt , Tiago de Miranda Fragoso , Eivind Almaas , Katja Nowick

Parametric resampling schemes have been recently introduced in complex network analysis with the aim of assessing the statistical significance of graph clustering and the robustness of community partitions. We propose here a method to…

Physics and Society · Physics 2014-02-25 Fabrizio De Vico Fallani , Vincenzo Nicosia , Vito Latora , Mario Chavez

Multi-view data have been routinely collected in various fields of science and engineering. A general problem is to study the predictive association between multivariate responses and multi-view predictor sets, all of which can be of high…

Methodology · Statistics 2018-07-30 Gen Li , Xiaokang Liu , Kun Chen

With the recent technological advances, biological datasets, often represented by networks (i.e., graphs) of interacting entities, proliferate with unprecedented complexity and heterogeneity. Although modern network science opens new…

Social and Information Networks · Computer Science 2021-04-09 Islem Rekik , Mustafa Burak Gurbuz

Ray tracing (RT) has emerged as a key tool for propagation channel modeling and network planning. Conventional RT is based on electromagnetic (EM) wave theory and its application relies on detailed mesh-based environment representations and…

Signal Processing · Electrical Eng. & Systems 2026-05-13 Zhuoyin Li , Ruisi He , Mi Yang , Ziyi Qi , Zhengyu Zhang , Jiahui Han , Haoxiang Zhang , Bingcheng Liu

A large body of research on link prediction problem is devoted to finding missing links in single-layer (simplex) networks. The proposed link prediction methods compute a similarity measure between unconnected node pairs based on the…

Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

Physics and Society · Physics 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

We consider the problem of a Parameter Server (PS) that wishes to learn a model that fits data distributed on the nodes of a graph. We focus on Federated Learning (FL) as a canonical application. One of the main challenges of FL is the…

Machine Learning · Computer Science 2022-06-03 Ghadir Ayache , Venkat Dassari , Salim El Rouayheb

How can we leverage social network data and observed ratings to correctly recommend proper items and provide a persuasive explanation for the recommendations? Many online services provide social networks among users, and it is crucial to…

Information Retrieval · Computer Science 2017-10-20 Haekyu Park , Hyunsik Jeon , Junghwan Kim , Beunguk Ahn , U Kang
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