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Finding the shortest path distance between an arbitrary pair of vertices is a fundamental problem in graph theory. A tremendous amount of research has been successfully attempted on this problem, most of which is limited to static graphs.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang

This paper proposes a mechanism to fine-tune convex approximations of probabilistic reachable sets (PRS) of uncertain dynamic systems. We consider the case of unbounded uncertainties, for which it may be impossible to find a bounded…

Robotics · Computer Science 2024-02-06 Pengcheng Wu , Sonia Martinez , Jun Chen

We reformulate the definition of privacy in the private information retrieval (PIR) problem to accommodate flexible privacy requirements. We focus on graph-replicated PIR, with a generalized privacy requirement, instead of requiring all…

Information Theory · Computer Science 2026-05-12 Mohamed Nomeir , Shreya Meel , Sennur Ulukus

Driven by many real applications, we study the problem of seeded graph matching. Given two graphs $G_1 = (V_1, E_1)$ and $G_2 = (V_2, E_2)$, and a small set $S$ of pre-matched node pairs $[u, v]$ where $u \in V_1$ and $v \in V_2$, the…

Data Structures and Algorithms · Computer Science 2018-10-29 Haida Zhang , Zengfeng Huang , Xuemin Lin , Zhe Lin , Wenjie Zhang , Ying Zhang

How can one quickly answer the most and top popular objects at any time, given a large log stream in a system of billions of users? It is equivalent to find the mode and top-frequent elements in a dynamic array corresponding to the log…

Data Structures and Algorithms · Computer Science 2018-12-14 Dingcheng Yang , Wenjian Yu , Junhui Deng , Shenghua Liu

Modern graph clustering applications require the analysis of large graphs and this can be computationally expensive. In this regard, local spectral graph clustering methods aim to identify well-connected clusters around a given "seed set"…

Optimization and Control · Mathematics 2017-12-08 Kimon Fountoulakis , Farbod Roosta-Khorasan , Julian Shun , Xiang Cheng , Michael W. Mahoney

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

Machine Learning · Computer Science 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

Modern e-commerce platforms offer vast product selections, making it difficult for customers to find items that they like and that are relevant to their current session intent. This is why it is key for e-commerce platforms to have near…

PageRank is a well-known algorithm whose robustness helps set a standard benchmark when processing graphs and analytical problems. The PageRank algorithm serves as a standard for many graph analytics and a foundation for extracting graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Hemalatha Eedi , Sahith Karra , Sathya Peri , Neha Ranabothu , Rahul Utkoor

In this work we consider the problem of maximizing the PageRank of a given target node in a graph by adding $k$ new links. We consider the case that the new links must point to the given target node (backlinks). Previous work shows that…

Data Structures and Algorithms · Computer Science 2015-03-20 Martin Olsen , Anastasios Viglas , Ilia Zvedeniouk

The graph-based index has been widely adopted to meet the demand for approximate nearest neighbor search (ANNS) for high-dimensional vectors. However, in dynamic scenarios involving frequent vector insertions and deletions, existing systems…

Databases · Computer Science 2025-03-19 Song Yu , Shengyuan Lin , Shufeng Gong , Yongqing Xie , Ruicheng Liu , Yijie Zhou , Ji Sun , Yanfeng Zhang , Guoliang Li , Ge Yu

The dynamic shortest paths problem on planar graphs asks us to preprocess a planar graph $G$ such that we may support insertions and deletions of edges in $G$ as well as distance queries between any two nodes $u,v$ subject to the constraint…

Data Structures and Algorithms · Computer Science 2016-05-13 Amir Abboud , Søren Dahlgaard

In this paper we present new improvement ideas of the original PageRank algorithm. The first idea is to introduce an evaluation of the statistical reliability of the ranking score of each node based on the local graph property and the…

Information Retrieval · Computer Science 2012-02-14 Dohy Hong

Personalized Route Recommendation (PRR) aims to generate user-specific route suggestions in response to users' route queries. Early studies cast the PRR task as a pathfinding problem on graphs, and adopt adapted search algorithms by…

Artificial Intelligence · Computer Science 2019-07-22 Jingyuan Wang , Ning Wu , Wayne Xin Zhao , Fanzhang Peng , Xin Lin

Despite the efficacy of graph-based algorithms for Approximate Nearest Neighbor (ANN) searches, the optimal tuning of such systems remains unclear. This study introduces a method to tune the performance of off-the-shelf graph-based indexes,…

Information Retrieval · Computer Science 2023-09-04 Yutaro Oguri , Yusuke Matsui

Ranking models have achieved promising results, but it remains challenging to design personalized ranking systems to leverage user profiles and semantic representations between queries and documents. In this paper, we propose a topic-based…

Information Retrieval · Computer Science 2021-08-16 Minghui Huang , Wei Peng , Dong Wang

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

The PageRank algorithm employed by Google quantifies the importance of each page by the link structure of the web. To reduce the computational burden the distributed randomized PageRank algorithms (DRPA) recently appeared in literature…

Systems and Control · Computer Science 2013-05-15 Wenxiao Zhao , Han-Fu Chen , Hai-Tao Fang

Automatic query reformulation refers to rewriting a user's original query in order to improve the ranking of retrieval results compared to the original query. We present a general framework for automatic query reformulation based on…

Information Retrieval · Computer Science 2015-07-15 Fernando Diaz

This paper proposes a new approach for approximate evaluation of #P-hard queries with probabilistic databases. In our approach, every query is evaluated entirely in the database engine by evaluating a fixed number of query plans, each…

Databases · Computer Science 2014-12-03 Wolfgang Gatterbauer , Dan Suciu
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