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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

Retrieval-augmented generation (RAG) improves the response quality of large language models (LLMs) by retrieving knowledge from external databases. Typical RAG approaches split the text database into chunks, organizing them in a flat…

Computation and Language · Computer Science 2025-11-18 Boyu Chen , Zirui Guo , Zidan Yang , Yuluo Chen , Junze Chen , Zhenghao Liu , Chuan Shi , Cheng Yang

The purpose of the research is to find a centrality measure that can be used in place of PageRank and to find out the conditions where we can use it in place of PageRank. After analysis and comparison of graphs with a large number of nodes…

Social and Information Networks · Computer Science 2022-01-24 Suvarna Saumya Chandrashekhar , Mashrin Srivastava , B. Jaganathan , Pankaj Shukla

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

Information Retrieval · Computer Science 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

In this paper we present a new method that can accelerate the computation of the PageRank importance vector. Our method, called D-Iteration (DI), is based on the decomposition of the matrix-vector product that can be seen as a fluid…

Data Structures and Algorithms · Computer Science 2015-05-07 Dohy Hong , The Dang Huynh , Fabien Mathieu

PageRank and the Bradley-Terry model are competing approaches to ranking entities such as teams in sports tournaments or journals in citation networks. The Bradley-Terry model is a classical statistical method for ranking based on paired…

Methodology · Statistics 2024-02-13 David Antony Selby

In the paper we compare well known numerical methods of finding PageRank vector. We propose Markov Chain Monte Carlo method and obtain a new estimation for this method. We also propose a new method for PageRank problem based on the…

Optimization and Control · Mathematics 2016-05-27 Alexander Gasnikov , Denis Dmitriev

Today most of the information in all areas is available over the web. It increases the web utilization as well as attracts the interest of researchers to improve the effectiveness of web access and web utilization. As the number of web…

Information Retrieval · Computer Science 2014-06-02 Priya Bajaj , Supriya Raheja

This paper aims to identify whether different weighted PageRank algorithms can be applied to author citation networks to measure the popularity and prestige of a scholar from a citation perspective. Information Retrieval (IR) was selected…

Digital Libraries · Computer Science 2011-02-10 Ying Ding

Contextual ranking models based on BERT are now well established for a wide range of passage and document ranking tasks. However, the robustness of BERT-based ranking models under adversarial inputs is under-explored. In this paper, we…

Information Retrieval · Computer Science 2022-06-24 Yumeng Wang , Lijun Lyu , Avishek Anand

Learning to Rank (LTR) methods generally assume that each document in a top-K ranking is presented in an equal format. However, previous work has shown that users' perceptions of relevance can be changed by varying presentations, i.e.,…

Information Retrieval · Computer Science 2025-07-01 Norman Knyazev , Harrie Oosterhuis

PageRank has numerous applications in information retrieval, reputation systems, machine learning, and graph partitioning.In this paper, we study PageRank in undirected random graphs with expansion property. The Chung-Lu random graph…

Social and Information Networks · Computer Science 2016-11-28 Konstantin Avrachenkov , Arun Kadavankandy , Liudmila Ostroumova , Andrei Raigorodskii

With the advent of end-to-end deep learning approaches in machine translation, interest in word alignments initially decreased; however, they have again become a focus of research more recently. Alignments are useful for typological…

Computation and Language · Computer Science 2021-09-15 Ayyoob Imani , Masoud Jalili Sabet , Lütfi Kerem Şenel , Philipp Dufter , François Yvon , Hinrich Schütze

This work is pertaining to the diversified ranking of web-resources and interconnected documents that rely on a network-like structure, e.g. web-pages. A practical example of this would be a query for the k most relevant web-pages that are…

Information Retrieval · Computer Science 2016-07-27 George Tsatsanifos

Recent advances have extended the context window of frontier LLMs dramatically, from a few thousand tokens up to millions, enabling entire books and codebases to fit into context. However, the compute costs of inferencing long-context LLMs…

Information Retrieval · Computer Science 2024-12-10 Nicholas Alonso , Beren Millidge

In this note, we first recall the nonconvex problem setting and introduce the optimal PAGE algorithm (Li et al., ICML'21). Then we provide a simple and clean convergence analysis of PAGE for achieving optimal convergence rates. Moreover,…

Optimization and Control · Mathematics 2021-06-18 Zhize Li

In this paper, we first extend the celebrated PageRank modification to a higher-order Markov chain. Although this system has attractive theoretical properties, it is computationally intractable for many interesting problems. We next study a…

Numerical Analysis · Computer Science 2015-11-13 David F. Gleich , Lek-Heng Lim , Yongyang Yu

The alignment of two similar graphs from different domains is a well-studied problem. In many practical usages, there is no reliable information or labels over the vertices or edges, leaving structural similarity as the only information…

Social and Information Networks · Computer Science 2022-08-22 Barak Babayov , Yoram Louzoun

Online ranker evaluation is a key challenge in information retrieval. An important task in the online evaluation of rankers is using implicit user feedback for inferring preferences between rankers. Interleaving methods have been found to…

Information Retrieval · Computer Science 2016-08-03 Brian Brost , Ingemar J. Cox , Yevgeny Seldin , Christina Lioma

Large language models (LLMs) often struggle with knowledge-intensive tasks due to hallucinations and outdated parametric knowledge. While Retrieval-Augmented Generation (RAG) addresses this by integrating external corpora, its effectiveness…

Computation and Language · Computer Science 2026-02-04 Su Dong , Qinggang Zhang , Yilin Xiao , Shengyuan Chen , Chuang Zhou , Xiao Huang