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Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

Data Structures and Algorithms · Computer Science 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

Finding similar data in high-dimensional spaces is one of the important tasks in multimedia applications. Approaches introduced to find exact searching techniques often use tree-based index structures which are known to suffer from the…

Databases · Computer Science 2022-11-17 Omid Jafari , Parth Nagarkar

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 (ANN) search is a fundamental technique for (e.g.,) the deployment of recommender systems. Recent studies bring proximity graph-based methods into practitioners' attention -- proximity graph-based methods…

Information Retrieval · Computer Science 2022-06-23 Zhaozhuo Xu , Weijie Zhao , Shulong Tan , Zhixin Zhou , Ping Li

In this paper we present an efficient method for visual descriptors retrieval based on compact hash codes computed using a multiple k-means assignment. The method has been applied to the problem of approximate nearest neighbor (ANN) search…

Computer Vision and Pattern Recognition · Computer Science 2016-05-11 Simone Ercoli , Marco Bertini , Alberto Del Bimbo

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

Data Structures and Algorithms · Computer Science 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji

We present a new approach for efficient approximate nearest neighbor (ANN) search in high dimensional spaces, extending the idea of Product Quantization. We propose a two-level product and vector quantization tree that reduces the number of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Patrick Wieschollek , Oliver Wang , Alexander Sorkine-Hornung , Hendrik P. A. Lensch

In this technical note, we introduce and analyze AWNN: an adaptively weighted nearest neighbor method for performing matrix completion. Nearest neighbor (NN) methods are widely used in missing data problems across multiple disciplines such…

Machine Learning · Statistics 2025-05-15 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

Filtered Approximate Nearest Neighbor (ANN) search retrieves the closest vectors for a query vector from a dataset. It enforces that a specified set of discrete labels $S$ for the query must be included in the labels of each retrieved…

Machine Learning · Computer Science 2025-11-07 Ananya Sutradhar , Suryansh Gupta , Ravishankar Krishnaswamy , Haiyang Xu , Aseem Rastogi , Gopal Srinivasa

Both supervised and unsupervised machine learning algorithms have been used to learn partition-based index structures for approximate nearest neighbor (ANN) search. Existing supervised algorithms formulate the learning task as finding a…

Machine Learning · Computer Science 2022-10-14 Ville Hyvönen , Elias Jääsaari , Teemu Roos

Approximate nearest neighbor search (ANN) is a common way to retrieve relevant search results, especially now in the context of large language models and retrieval augmented generation. One of the most widely used algorithms for ANN is…

Data Structures and Algorithms · Computer Science 2025-12-23 Nina Mishra , Yonatan Naamad , Tal Wagner , Lichen Zhang

A recent series of papers by Andoni, Naor, Nikolov, Razenshteyn, and Waingarten (STOC 2018, FOCS 2018) has given approximate near neighbour search (NNS) data structures for a wide class of distance metrics, including all norms. In…

Data Structures and Algorithms · Computer Science 2021-05-12 Deepanshu Kush , Aleksandar Nikolov , Haohua Tang

Amidst an increasing number of infected cases during the Covid-19 pandemic, it is essential to trace, as early as possible, the susceptible people who might have been infected by the disease due to their close proximity with people who were…

Information Retrieval · Computer Science 2020-10-07 Chandan Biswas , Debasis Ganguly , Ujjwal Bhattacharya

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

Data Structures and Algorithms · Computer Science 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

Simulated Annealing using Metropolis steps at decreasing temperatures is widely used to solve complex combinatorial optimization problems. In order to improve its efficiency, we can use the Rejection-Free version of the Metropolis…

Optimization and Control · Mathematics 2022-10-10 Sigeng Chen , Jeffrey S. Rosenthal , Aki Dote , Hirotaka Tamura , Ali Sheikholeslami

Range-filtered approximate nearest neighbor (RFANN) search is a fundamental operation in modern data systems. Given a set of objects, each with a vector and a numerical attribute, an RFANN query retrieves the nearest neighbors to a query…

Databases · Computer Science 2026-05-05 Zhiqiu Zou , Ziqi Yin , Rong-Hua Li , Hongchao Qin , Qiangqiang Dai , Guoren Wang

Approximate nearest-neighbor search is a fundamental algorithmic problem that continues to inspire study due its essential role in numerous contexts. In contrast to most prior work, which has focused on point sets, we consider…

Computational Geometry · Computer Science 2021-04-01 Ahmed Abdelkader , David M. Mount

Recent years have witnessed the popularity and success of graph neural networks (GNN) in various scenarios. To obtain data-specific GNN architectures, researchers turn to neural architecture search (NAS), which has made impressive success…

Machine Learning · Computer Science 2021-04-21 Huan Zhao , Quanming Yao , Weiwei Tu

Graph-based approaches to approximate nearest neighbor search (ANNS) enable fast, high-recall retrieval on billion-scale vector datasets. Among them, the Sparse Neighborhood Graph (SNG) is widely used due to its strong search performance.…

Data Structures and Algorithms · Computer Science 2026-05-06 Xinran Ma , Zhaoqi Zhou , Chuan Zhou , Zaijiu Shang , Guoliang Li , Zhiming Ma

Neural Architecture Search (NAS), i.e., the automation of neural network design, has gained much popularity in recent years with increasingly complex search algorithms being proposed. Yet, solid comparisons with simple baselines are often…

Neural and Evolutionary Computing · Computer Science 2020-07-28 T. Den Ottelander , A. Dushatskiy , M. Virgolin , P. A. N. Bosman