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Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

Data Structures and Algorithms · Computer Science 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

Databases · Computer Science 2026-02-20 Yaowen Liu , Xuejia Chen , Anxin Tian , Haoyang Li , Qinbin Li , Xin Zhang , Alexander Zhou , Chen Jason Zhang , Qing Li , Lei Chen

One of the approaches for the nearest neighbor search problem is to build a network which nodes correspond to the given set of indexed objects. In this case the search of the closest object can be thought as a search of a node in a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-25 Alexander Ponomarenko , Irina Utkina , Mikhail Batsyn

Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. However, when the query point is far from the data points or…

Computational Geometry · Computer Science 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

Searching for high-dimensional vector data with high accuracy is an inevitable search technology for various types of data. Graph-based indexes are known to reduce the query time for high-dimensional data. To further improve the query time…

Databases · Computer Science 2018-10-18 Masajiro Iwasaki , Daisuke Miyazaki

Approximate nearest neighbor search (ANNS) is a crucial problem in information retrieval and AI applications. Recently, there has been a surge of interest in graph-based ANNS algorithms due to their superior efficiency and accuracy.…

Databases · Computer Science 2025-09-03 Zhenxin Li , Shuibing He , Jiahao Guo , Xuechen Zhang , Xian-He Sun , Gang Chen

Many modern methods for prediction leverage nearest neighbor search to find past training examples most similar to a test example, an idea that dates back in text to at least the 11th century and has stood the test of time. This monograph…

Machine Learning · Computer Science 2025-02-25 George H. Chen , Devavrat Shah

Preference restrictions have played a significant role in computational social choice. This paper studies a framework that connects preference restrictions with classical graph search paradigms. We model candidates as vertices of a graph…

Computer Science and Game Theory · Computer Science 2026-05-07 Guozhen Rong , Xin Li , Yongjie Yang

Graph-based approximate nearest neighbor search has attracted more and more attentions due to its online search advantages. Numbers of methods studying the enhancement of speed and recall have been put forward. However, few of them focus on…

Information Retrieval · Computer Science 2021-02-10 Kang Zhao , Pan Pan , Yun Zheng , Yanhao Zhang , Changxu Wang , Yingya Zhang , Yinghui Xu , Rong Jin

The $k$-d tree is one of the oldest and most widely used data structures for nearest neighbor search. It partitions Euclidean space into axis-aligned rectangular cells. There are two standard ways to find the nearest neighbor to a query in…

Data Structures and Algorithms · Computer Science 2026-05-13 Marco Bazzani , Sanjoy Dasgupta

We propose a novel solution to addressing a long-standing dilemma in the representation learning of graph neural networks (GNNs): how to effectively capture and represent useful information embedded in long-distance nodes to improve the…

Machine Learning · Computer Science 2022-02-17 Ailing Zeng , Minhao Liu , Zhiwei Liu , Ruiyuan Gao , Jing Qin , Qiang Xu

The $k$-NN graph has played a central role in increasingly popular data-driven techniques for various learning and vision tasks; yet, finding an efficient and effective way to construct $k$-NN graphs remains a challenge, especially for…

Computer Vision and Pattern Recognition · Computer Science 2013-07-31 Jingdong Wang , Jing Wang , Gang Zeng , Zhuowen Tu , Rui Gan , Shipeng Li

Vector databases typically rely on approximate nearest neighbor (ANN) search to retrieve the top-k closest vectors to a query in embedding space. While effective, this approach often yields semantically redundant results, missing the…

Machine Learning · Computer Science 2025-07-29 Rahul Raja , Arpita Vats

Data sparsity, that is a common problem in neighbor-based collaborative filtering domain, usually complicates the process of item recommendation. This problem is more serious in collaborative ranking domain, in which calculating the users…

Social and Information Networks · Computer Science 2017-02-01 Bita Shams , Saman Haratizadeh

Despite the tremendous success of graph-based learning systems in handling structural data, it has been widely investigated that they are fragile to adversarial attacks on homophilic graph data, where adversaries maliciously modify the…

Machine Learning · Computer Science 2025-09-05 Yulin Zhu , Yuni Lai , Xing Ai , Wai Lun LO , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

Despite filtered nearest neighbor search being a fundamental task in modern vector search systems, the performance of existing algorithms is highly sensitive to query selectivity and filter type. In particular, existing solutions excel…

Information Retrieval · Computer Science 2026-02-12 Haike Xu , Guy Blelloch , Laxman Dhulipala , Lars Gottesbüren , Rajesh Jayaram , Jakub Łącki

Recently, the efficiency of automatic neural architecture design has been significantly improved by gradient-based search methods such as DARTS. However, recent literature has brought doubt to the generalization ability of DARTS, arguing…

Machine Learning · Computer Science 2021-01-26 Guilin Li , Xing Zhang , Zitong Wang , Matthias Tan , Jiashi Feng , Zhenguo Li , Tong Zhang

We introduce hierarchical neighbor graphs, a new architecture for connecting ad hoc wireless nodes distributed in a plane. The structure has the flavor of hierarchical clustering and requires only local knowledge and minimal computation at…

Networking and Internet Architecture · Computer Science 2015-09-30 Amitabha Bagchi , Adit Madan , Achal Premi

Graph searching is one of the simplest and most widely used tools in graph algorithms. Every graph search method is defined using some particular selection rule, and the analysis of the corresponding vertex orderings can aid greatly in…

Discrete Mathematics · Computer Science 2021-09-07 Matjaž Krnc , Nevena Pivač

Nearest neighbor search is a basic computational tool used extensively in almost research domains of computer science specially when dealing with large amount of data. However, the use of nearest neighbor search is restricted for the…

Social and Information Networks · Computer Science 2015-11-24 Suman Saha , S. P. Ghrera