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Approximate K Nearest Neighbor (AKNN) search in high-dimensional spaces is a critical yet challenging problem. In AKNN search, distance computation is the core task that dominates the runtime. Existing approaches typically use approximate…

Databases · Computer Science 2025-01-20 Mingyu Yang , Wentao Li , Jiabao Jin , Xiaoyao Zhong , Xiangyu Wang , Zhitao Shen , Wei Jia , Wei Wang

Vector search, the task of finding the k-nearest neighbors of a query vector against a database of high-dimensional vectors, underpins many machine learning applications, including retrieval-augmented generation, recommendation systems, and…

Approximate K-Nearest Neighbor Search (AKNNS) has now become ubiquitous in modern applications, for example, as a fast search procedure with two tower deep learning models. Graph-based methods for AKNNS in particular have received great…

Machine Learning · Computer Science 2022-06-24 Patrick H. Chen , Chang Wei-cheng , Yu Hsiang-fu , Inderjit S. Dhillon , Hsieh Cho-jui

With the growing integration of structured and unstructured data, new methods have emerged for performing similarity searches on vectors while honoring structured attribute constraints, i.e., a process known as Filtering Approximate Nearest…

Databases · Computer Science 2025-09-23 Mocheng Li , Xiao Yan , Baotong Lu , Yue Zhang , James Cheng , Chenhao Ma

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

Learned dense representations are a popular family of techniques for encoding queries and documents using high-dimensional embeddings, which enable retrieval by performing approximate k nearest-neighbors search (A-kNN). A popular technique…

Information Retrieval · Computer Science 2024-08-12 Francesco Busolin , Claudio Lucchese , Franco Maria Nardini , Salvatore Orlando , Raffaele Perego , Salvatore Trani

Sparse embeddings of data form an attractive class due to their inherent interpretability: Every dimension is tied to a term in some vocabulary, making it easy to visually decipher the latent space. Sparsity, however, poses unique…

Data Structures and Algorithms · Computer Science 2025-09-30 Sebastian Bruch , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

Approximate Nearest Neighbor Search (ANNS) is a fundamental operation in vector databases, enabling efficient similarity search in high-dimensional spaces. While dense ANNS has been optimized using specialized hardware accelerators, sparse…

Databases · Computer Science 2026-01-07 Tianqi Zhang , Flavio Ponzina , Tajana Rosing

Large-scale approximate nearest neighbor search (ANN) has been gaining attention along with the latest machine learning researches employing ANNs. If the data is too large to fit in memory, it is necessary to search for the most similar…

Machine Learning · Computer Science 2025-01-29 Taiga Ikeda , Daisuke Miyashita , Jun Deguchi

Fixed-radius near neighbor search is a fundamental data operation that retrieves all data points within a user-specified distance to a query point. There are efficient algorithms that can provide fast approximate query responses, but they…

Information Retrieval · Computer Science 2024-01-30 Xinye Chen , Stefan Güttel

Retrieving points based on proximity in a high-dimensional vector space is a crucial step in information retrieval applications. The approximate nearest neighbor search (ANNS) problem, which identifies the $k$ nearest neighbors for a query,…

Information Retrieval · Computer Science 2025-09-11 Magdalen Dobson Manohar , Taekseung Kim , Guy E. Blelloch

ANNS for embedded vector representations of texts is commonly used in information retrieval, with two important information representations being sparse and dense vectors. While it has been shown that combining these representations…

Information Retrieval · Computer Science 2024-10-29 Haoyu Zhang , Jun Liu , Zhenhua Zhu , Shulin Zeng , Maojia Sheng , Tao Yang , Guohao Dai , Yu Wang

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

Modern deep learning models capture the semantics of complex data by transforming them into high-dimensional embedding vectors. Emerging applications, such as retrieval-augmented generation, use approximate nearest neighbor (ANN) search in…

Databases · Computer Science 2025-10-01 Guoyu Hu , Shaofeng Cai , Tien Tuan Anh Dinh , Zhongle Xie , Cong Yue , Gang Chen , Beng Chin Ooi

Approximate Nearest Neighbor Search (ANNS) in high-dimensional space is an essential operator in many online services, such as information retrieval and recommendation. Indices constructed by the state-of-the-art ANNS algorithms must be…

Databases · Computer Science 2025-10-21 Kun Yu , Jiabao Jin , Xiaoyao Zhong , Peng Cheng , Lei Chen , Zhitao Shen , Jingkuan Song , Hengtao Shen , Xuemin Lin

Approximate Nearest Neighbor Search (ANNS) plays a critical role in applications such as search engines, recommender systems, and RAG for LLMs. Vector quantization (VQ), a crucial technique for ANNS, is commonly used to reduce space…

Databases · Computer Science 2026-01-22 Hui Li , Shiyuan Deng , Xiao Yan , Xiangyu Zhi , James Cheng

There is a growing interest in automated neural architecture search (NAS) methods. They are employed to routinely deliver high-quality neural network architectures for various challenging data sets and reduce the designer's effort. The NAS…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Michal Pinos , Vojtech Mrazek , Lukas Sekanina

Nearest neighbor search (NNS) has a wide range of applications in information retrieval, computer vision, machine learning, databases, and other areas. Existing state-of-the-art algorithm for nearest neighbor search, Hierarchical Navigable…

Information Retrieval · Computer Science 2020-10-20 Ishita Doshi , Dhritiman Das , Ashish Bhutani , Rajeev Kumar , Rushi Bhatt , Niranjan Balasubramanian

Approximate nearest neighbor search (ANNS) is a key retrieval technique for vector database and many data center applications, such as person re-identification and recommendation systems. It is also fundamental to retrieval augmented…

Hardware Architecture · Computer Science 2024-05-30 Yitu Wang , Shiyu Li , Qilin Zheng , Linghao Song , Zongwang Li , Andrew Chang , Hai "Helen" Li , Yiran Chen

Approximate Nearest Neighbor Search (ANNS) in high dimensional space is essential in database and information retrieval. Recently, there has been a surge of interest in exploring efficient graph-based indices for the ANNS problem. Among…

Information Retrieval · Computer Science 2021-03-19 Cong Fu , Changxu Wang , Deng Cai