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Virtually anything can be and is ranked; people, institutions, countries, words, genes. Rankings reduce complex systems to ordered lists, reflecting the ability of their elements to perform relevant functions, and are being used from…

Physics and Society · Physics 2026-02-04 Gerardo Iñiguez , Carlos Pineda , Carlos Gershenson , Albert-László Barabási

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

Our goal is to quickly find top $k$ lists of nodes with the largest degrees in large complex networks. If the adjacency list of the network is known (not often the case in complex networks), a deterministic algorithm to find a node with the…

Data Structures and Algorithms · Computer Science 2012-02-16 Konstantin Avrachenkov , Nelly Litvak , Marina Sokol , Don Towsley

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman

Ranking algorithms are pervasive in our increasingly digitized societies, with important real-world applications including recommender systems, search engines, and influencer marketing practices. From a network science perspective,…

Physics and Society · Physics 2020-06-01 Manuel S. Mariani , Linyuan Lü

Using edge weights is essential for modeling real-world systems where links possess relevant information, and preserving this information in low-dimensional representations is relevant for classification and prediction tasks. This paper…

Social and Information Networks · Computer Science 2025-08-12 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

People participate and activate in online social networks and thus tremendous amount of network data is generated; data regarding their interactions, interests and activities. Some people search for specific questions through online social…

Social and Information Networks · Computer Science 2019-01-23 Mohsen Shahriari , Ralf Klamma , Matthias Jarke

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Competition networks are formed via adversarial interactions between actors. The Dynamic Competition Hypothesis predicts that influential actors in competition networks should have a large number of common out-neighbors with many other…

Social and Information Networks · Computer Science 2019-09-17 Anthony Bonato , Nicole Eikmeier , David F. Gleich , Rehan Malik

Continual learning on edge devices poses unique challenges due to stringent resource constraints. This paper introduces a novel method that leverages stochastic competition principles to promote sparsity, significantly reducing deep network…

Machine Learning · Computer Science 2024-07-16 Theodoros Christophides , Kyriakos Tolias , Sotirios Chatzis

We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

Physics and Society · Physics 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

We study a ranking and selection problem of learning from choice-based feedback with dynamic assortments. In this problem, a company sequentially displays a set of items to a population of customers and collects their choices as feedback.…

Machine Learning · Computer Science 2025-01-03 Junwen Yang , Yifan Feng

Traditional approaches to ranking in web search follow the paradigm of rank-by-score: a learned function gives each query-URL combination an absolute score and URLs are ranked according to this score. This paradigm ensures that if the score…

Machine Learning · Computer Science 2012-07-03 Or Sheffet , Nina Mishra , Samuel Ieong

We present a quantum algorithm for ranking the nodes on a network in their order of importance. The algorithm is based on a directed discrete-time quantum walk, and works on all directed networks. This algorithm can theoretically be applied…

Quantum Physics · Physics 2020-04-02 Prateek Chawla , Roopesh Mangal , C. M. Chandrashekar

In the last twenty years network science has proven its strength in modelling many real-world interacting systems as generic agents, the nodes, connected by pairwise edges. Yet, in many relevant cases, interactions are not pairwise but…

Physics and Society · Physics 2020-02-26 Timoteo Carletti , Federico Battiston , Giulia Cencetti , Duccio Fanelli

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

In this paper we introduce a new technique to analyze families of rankings focused on the study of structural properties of a new type of graphs. Given a finite number of elements and a family of rankings of those elements, we say that two…

Combinatorics · Mathematics 2014-03-26 Regino Criado , Esther Garcia , Francisco Pedroche , Miguel Romance