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In this paper, we propose three methods to solve the PageRank problem for the transition matrices with both row and column sparsity. Our methods reduce the PageRank problem to the convex optimization problem over the simplex. The first…

Optimization and Control · Mathematics 2020-12-22 Anton Anikin , Alexander Gasnikov , Alexander Gornov , Dmitry Kamzolov , Yury Maximov , Yurii Nesterov

It has recently been shown that ISTA, an unaccelerated optimization method, presents sparse updates for the $\ell_1$-regularized personalized PageRank problem, leading to cheap iteration complexity and providing the same guarantees as the…

Optimization and Control · Mathematics 2023-03-24 David Martínez-Rubio , Elias Wirth , Sebastian Pokutta

We present new algorithms for Personalized PageRank estimation and Personalized PageRank search. First, for the problem of estimating Personalized PageRank (PPR) from a source distribution to a target node, we present a new bidirectional…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren , Siddhartha Banerjee , Ashish Goel

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

Learning-to-rank (LTR) is a set of supervised machine learning algorithms that aim at generating optimal ranking order over a list of items. A lot of ranking models have been studied during the past decades. And most of them treat each…

Information Retrieval · Computer Science 2020-06-09 RuiXing Wang , Kuan Fang , RiKang Zhou , Zhan Shen , LiWen Fan

In this article we will present a graph partitioning algorithm which partitions a graph into two different types of components: the well-known `strongly connected components' as well as another type of components we call `connected acyclic…

Data Structures and Algorithms · Computer Science 2016-09-30 Christopher Engström , Sergei Silvestrov

Clustering plays a crucial role in computer science, facilitating data analysis and problem-solving across numerous fields. By partitioning large datasets into meaningful groups, clustering reveals hidden structures and relationships within…

Databases · Computer Science 2026-02-19 Aryan Esmailpour , Stavros Sintos

Aggregating multiple input rankings into a consensus ranking is essential in various fields such as social choice theory, hiring, college admissions, web search, and databases. A major challenge is that the optimal consensus ranking might…

Data Structures and Algorithms · Computer Science 2026-02-25 Diptarka Chakraborty , Himika Das , Sanjana Dey , Alvin Hong Yao Yan

Node embedding learns low-dimensional vectors for nodes in the graph. Recent state-of-the-art embedding approaches take Personalized PageRank (PPR) as the proximity measure and factorize the PPR matrix or its adaptation to generate…

Machine Learning · Computer Science 2024-05-31 Xingyi Zhang , Zixuan Weng , Sibo Wang

The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/M$ ratio between the network size $N$ and the number of…

Quantum Physics · Physics 2024-10-22 Sergio A. Ortega , Miguel A. Martin-Delgado

Fine-tuning has become a popular approach to adapting large foundational models to specific tasks. As the size of models and datasets grows, parameter-efficient fine-tuning techniques are increasingly important. One of the most widely used…

Local clustering aims to find a compact cluster near the given starting instances. This work focuses on graph local clustering, which has broad applications beyond graphs because of the internal connectivities within various modalities.…

Social and Information Networks · Computer Science 2024-12-05 Zihao Li , Dongqi Fu , Hengyu Liu , Jingrui He

The PageRank algorithm enables to rank the nodes of a network through a specific eigenvector of the Google matrix, using a damping parameter $\alpha \in ]0,1[$. Using extensive numerical simulations of large web networks, with a special…

Information Retrieval · Computer Science 2011-11-04 K. M. Frahm , B. Georgeot , D. L. Shepelyansky

Ensuring fairness in algorithmic ranking systems is a critical challenge with significant societal implications for hiring, recommendations, web search, and data management. Standard methods for aggregating multiple preference orders into a…

Data Structures and Algorithms · Computer Science 2026-05-25 Diptarka Chakraborty , Arya Mazumdar , Barna Saha , Alvin Hong Yao Yan

Decoding-free reranking methods that read relevance signals directly from LLM attention weights offer significant latency advantages over autoregressive approaches, yet suffer from attention score homogenization: middle-context documents…

Information Retrieval · Computer Science 2026-05-20 Juyuan Wang , Chenxing Wang , Yuchen Fang , Huiyun Hu , Junwu Du , Aolin Li , Shunlin Rong , Haijun Wu , Jin Xu , Ligang Liu , Dongliang Liao

Approximate Nearest Neighbor Search (ANNS), as the core of vector databases (VectorDBs), has become widely used in modern AI and ML systems, powering applications from information retrieval to bio-informatics. While graph-based ANNS methods…

Machine Learning · Computer Science 2025-10-07 Dingyi Kang , Dongming Jiang , Hanshen Yang , Hang Liu , Bingzhe Li

In the rapidly evolving field of e-commerce, the effectiveness of search re-ranking models is crucial for enhancing user experience and driving conversion rates. Despite significant advancements in feature representation and model…

Information Retrieval · Computer Science 2024-08-13 Enqiang Xu , Xinhui Li , Zhigong Zhou , Jiahao Ji , Jinyuan Zhao , Dadong Miao , Songlin Wang , Lin Liu , Sulong Xu

Most methods for Personalized PageRank (PPR) precompute and store all accurate PPR vectors, and at query time, return the ones of interest directly. However, the storage and computation of all accurate PPR vectors can be prohibitive for…

Information Retrieval · Computer Science 2016-08-23 Qin Liu , Zhenguo Li , John C. S. Lui , Jiefeng Cheng

To retrieve more relevant, appropriate and useful documents given a query, finding clues about that query through the text is crucial. Recent deep learning models regard the task as a term-level matching problem, which seeks exact or…

Information Retrieval · Computer Science 2021-02-01 Yufeng Zhang , Jinghao Zhang , Zeyu Cui , Shu Wu , Liang Wang

Search services have been developed rapidly in social Internet. It can help web users easily to find their documents. So that, finding a best method search is always an imagine. This paper would like introduce hybrid method of LPageRank…

Information Retrieval · Computer Science 2009-12-10 Vu Thanh Nguyen
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