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Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Approximate Nearest Neighbor Search (ANNS) is fundamental to modern AI applications. Most existing solutions optimize query efficiency but fail to align with the practical requirements of modern workloads. In this paper, we outline six…

Information Retrieval · Computer Science 2026-03-10 Kejing Lu , Zhenpeng Pan , Jianbin Qin , Yoshiharu Ishikawa , Chuan Xiao

Graph-based approaches to nearest neighbor search are popular and powerful tools for handling large datasets in practice, but they have limited theoretical guarantees. We study the worst-case performance of recent graph-based approximate…

Data Structures and Algorithms · Computer Science 2023-10-31 Piotr Indyk , Haike Xu

Approximate Nearest Neighbour (ANN) search is a fundamental problem in information retrieval, underpinning large-scale applications in computer vision, natural language processing, and cross-modal search. Hashing-based methods provide an…

Information Retrieval · Computer Science 2025-10-07 Sean Moran

Vector similarity search is an essential primitive in modern AI and ML applications. Most vector databases adopt graph-based approximate nearest neighbor (ANN) search algorithms, such as DiskANN (Subramanya et al., 2019), which have…

Data Structures and Algorithms · Computer Science 2026-02-10 Tian Zhang , Ashwin Padaki , Jiaming Liang , Zack Ives , Erik Waingarten

Embedding-based vector search underpins many important applications, such as recommendation and retrieval-augmented generation (RAG). It relies on vector indices to enable efficient search. However, these indices require storing…

The problem of Approximate Nearest Neighbor (ANN) search is fundamental in computer science and has benefited from significant progress in the past couple of decades. However, most work has been devoted to pointsets whereas complex shapes…

Computational Geometry · Computer Science 2020-04-14 Ioannis Z. Emiris , Ioannis Psarros

One of the core problems in large-scale recommendations is to retrieve top relevant candidates accurately and efficiently, preferably in sub-linear time. Previous approaches are mostly based on a two-step procedure: first learn an…

Information Retrieval · Computer Science 2021-05-19 Weihao Gao , Xiangjun Fan , Chong Wang , Jiankai Sun , Kai Jia , Wenzhi Xiao , Ruofan Ding , Xingyan Bin , Hui Yang , Xiaobing Liu

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

Proximity graphs (PG) have gained increasing popularity as the state-of-the-art solutions to $k$-approximate nearest neighbor ($k$-ANN) search on high-dimensional data, which serves as a fundamental function in various fields, e.g.,…

Databases · Computer Science 2025-02-18 Shuo Yang , Jiadong Xie , Yingfan Liu , Jeffrey Xu Yu , Xiyue Gao , Qianru Wang , Yanguo Peng , Jiangtao Cui

Approximate nearest neighbor search (ANN) data structures have widespread applications in machine learning, computational biology, and text processing. The goal of ANN is to preprocess a set S so that, given a query q, we can find a point y…

Data Structures and Algorithms · Computer Science 2024-07-03 Samuel McCauley

In the era of cloud computing and AI, data owners outsource ubiquitous vectors to the cloud, which furnish approximate $k$-nearest neighbors ($k$-ANNS) services to users. To protect data privacy against the untrusted server,…

Databases · Computer Science 2025-08-15 Yingfan Liu , Yandi Zhang , Jiadong Xie , Hui Li , Jeffrey Xu Yu , Jiangtao Cui

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

Approximate near-neighbors search (\textsc{ANNS}) is a long-studied problem in computational geometry. %that has received considerable attention by researchers in the community. In this paper, we revisit the problem and propose the first…

Computational Geometry · Computer Science 2021-03-02 Majid Mirzanezhad

Approximate k-Nearest Neighbor (AKNN) search is widely used in vector databases. When vectors carry additional attributes (e.g., labels or numerical values), filtered AKNN search retrieves the nearest vectors to a query vector under…

Databases · Computer Science 2026-05-29 Wenxuan Xia , Mingyu Yang , Wentao Li , Wei Wang

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

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 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

Nowadays, face recognition and more generally image recognition have many applications in the modern world and are widely used in our daily tasks. This paper aims to propose a distributed approximate nearest neighbor (ANN) method for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-31 Aysan Aghazadeh , Maryam Amirmazlaghani
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