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Entity rankings (e.g., institutions, journals) are a core component of academia and related industries. Existing approaches to institutional rankings have relied on a variety of data sources, and approaches to computing outcomes, but remain…

Digital Libraries · Computer Science 2025-04-08 Sean C. Rife , Joshua M. Nicholson , Beatriz Bosques , Domenic Rosati , Ashish Uppala , Igor A. Osipov

We present a new method for the constraint-based synthesis of termination arguments for linear loop programs based on linear ranking templates. Linear ranking templates are parametrized, well-founded relations such that an assignment to the…

Logic in Computer Science · Computer Science 2014-01-22 Jan Leike , Matthias Heizmann

A concept of higher order neighborhood in complex networks, introduced previously (PRE \textbf{73}, 046101, (2006)), is systematically explored to investigate larger scale structures in complex networks. The basic idea is to consider each…

Statistical Mechanics · Physics 2016-08-16 Roberto F. S. Andrade , José G. V. Miranda , Suani T. R. Pinho , Thierry Petit Lobão

The paper aims at analyzing the least squares ranking method for generalized tournaments with possible missing and multiple paired comparisons. The bilateral relationships may reflect the outcomes of a sport competition, product…

Computer Science and Game Theory · Computer Science 2019-06-20 László Csató

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

Ranking is used for a wide array of problems, most notably information retrieval (search). There are a number of popular approaches to the evaluation of ranking such as Kendall's $\tau$, Average Precision, and nDCG. When dealing with…

Information Retrieval · Computer Science 2026-05-08 Denys Katerenchuk , Andrew Rosenberg

In this paper, we explore and evaluate the use of ranking-based objective functions for learning simultaneously a word string and a word image encoder. We consider retrieval frameworks in which the user expects a retrieval list ranked…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Pau Riba , Adrià Molina , Lluis Gomez , Oriol Ramos-Terrades , Josep Lladós

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

Matrices with low-rank structure are ubiquitous in scientific computing. Choosing an appropriate rank is a key step in many computational algorithms that exploit low-rank structure. However, estimating the rank has been done largely in an…

Numerical Analysis · Mathematics 2024-01-08 Maike Meier , Yuji Nakatsukasa

This paper introduces an iterative tomogravity algorithm for the estimation of a network traffic matrix based on one snapshot observation of the link loads in the network. The proposed method does not require complete observation of the…

Applications · Statistics 2007-08-22 Jiangang Fang , Yehuda Vardi , Cun-Hui Zhang

In a previous paper (q-alg/9501022) we suggested some algorithms that could be useful in solving the problem of knot classification. Here we continue this discussion by answering questions raised in that paper and by commenting on practical…

q-alg · Mathematics 2008-02-03 Charilaos Aneziris

Experts from several disciplines have been widely using centrality measures for analyzing large as well as complex networks. These measures rank nodes/edges in networks by quantifying a notion of the importance of nodes/edges. Ranking aids…

Social and Information Networks · Computer Science 2020-11-04 Rishi Ranjan Singh

The problem of ranking is a multi-billion dollar problem. In this paper we present an overview of several production quality ranking systems. We show that due to conflicting goals of employing the most effective machine learning models and…

Information Retrieval · Computer Science 2019-07-30 Murium Iqbal , Nishan Subedi , Kamelia Aryafar

PageRank (PR) is a fundamental tool for assessing the relative importance of the nodes in a network. In this paper, we propose a measure, weighted PageRank (WPR), extended from the classical PR for weighted, directed networks with possible…

Physics and Society · Physics 2021-05-18 Panpan Zhang , Tiandong Wang , Jun Yan

Information theory has been taken as a prospective tool for quantifying the complexity of complex networks. In this paper, we first study the information entropy or uncertainty of a path using the information theory. Then we apply the path…

Physics and Society · Physics 2016-05-04 Zhongqi Xu , Cunlai Pu , Jian Yang

Selecting a connected subnetwork enriched in individually important vertices is an approach commonly used in many areas of bioinformatics, including analysis of gene expression data, mutations, metabolomic profiles and others. It can be…

Data Structures and Algorithms · Computer Science 2017-02-06 Javlon E. Isomurodov , Alexander A. Loboda , Alexey A. Sergushichev

We consider the following problem : we have a high-resolution street network of a given city, and low-resolution measurements of traffic within this city. We want to associate to each measurement the set of streets corresponding to the…

Social and Information Networks · Computer Science 2024-05-24 Bastien Legay , Matthieu Latapy

Many latent (factorized) models have been proposed for recommendation tasks like collaborative filtering and for ranking tasks like document or image retrieval and annotation. Common to all those methods is that during inference the items…

Machine Learning · Computer Science 2012-10-19 Jason Weston , John Blitzer

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

Community structure exists in many real-world networks and has been reported being related to several functional properties of the networks. The conventional approach was partitioning nodes into communities, while some recent studies start…

Physics and Society · Physics 2011-08-15 Youngdo Kim , Hawoong Jeong
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