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The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

Computational Geometry · Computer Science 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros

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

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

This paper addresses the problem of Approximate Nearest Neighbor (ANN) search in pattern recognition where feature vectors in a database are encoded as compact codes in order to speed-up the similarity search in large-scale databases.…

Information Theory · Computer Science 2017-04-26 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov , Taras Holotyak

For a given dataset $\mathcal{D}$ and structured label $f$, the goal of Filtered Approximate Nearest Neighbor Search (FANNS) algorithms is to find top-$k$ points closest to a query that satisfy label constraints, while ensuring both recall…

Databases · Computer Science 2025-09-10 Jiayang Shi , Yuzheng Cai , Weiguo Zheng

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani

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

Finding the nearest subspace is a fundamental problem and influential to many applications. In particular, a scalable solution that is fast and accurate for a large problem has a great impact. The existing methods for the problem are,…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Masakazu Iwamura , Masataka Konishi , Koichi Kise

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

Filtered approximate nearest neighbor search (ANNS) restricts the search to data objects whose attributes satisfy a given filter and retrieves the top-$K$ objects that are most semantically similar to the query object. Many graph-based ANNS…

Databases · Computer Science 2025-11-04 Tianming Wu , Dixin Tang

Dense embedding models are commonly deployed in commercial search engines, wherein all the document vectors are pre-computed, and near-neighbor search (NNS) is performed with the query vector to find relevant documents. However, the…

Machine Learning · Computer Science 2020-09-01 Tharun Medini , Beidi Chen , Anshumali Shrivastava

Sparse data are common. The traditional ``handcrafted'' features are often sparse. Embedding vectors from trained models can also be very sparse, for example, embeddings trained via the ``ReLu'' activation function. In this paper, we report…

Information Retrieval · Computer Science 2023-06-14 Ping Li , Weijie Zhao , Chao Wang , Qi Xia , Alice Wu , Lijun Peng

Recent advancement of the WWW, IOT, social network, e-commerce, etc. have generated a large volume of data. These datasets are mostly represented by high dimensional and sparse datasets. Many fundamental subroutines of common data analytic…

Information Retrieval · Computer Science 2019-10-11 Rameshwar Pratap , Debajyoti Bera , Karthik Revanuru

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

Fast Approximate Nearest Neighbor (ANN) search technique for high-dimensional feature indexing and retrieval is the crux of large-scale image retrieval. A recent promising technique is Product Quantization, which attempts to index…

Computer Vision and Pattern Recognition · Computer Science 2016-03-16 Qingqun Ning , Jianke Zhu , Zhiyuan Zhong , Steven C. H. Hoi , Chun Chen

Approximate nearest neighbour (ANN) search has become a central task in modern data-intensive applications, particularly when operating on large, heterogeneous, or high-dimensional datasets. However, many existing ANN methods struggle in…

Information Retrieval · Computer Science 2026-01-15 Elena Garcia-Morato , Maria Jesus Algar , Cesar Alfaro , Felipe Ortega , Javier Gomez , Javier M. Moguerza

Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

Machine Learning · Computer Science 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

Learned sparse representations form an effective and interpretable class of embeddings for text retrieval. While exact top-k retrieval over such embeddings faces efficiency challenges, a recent algorithm called Seismic has enabled…

Information Retrieval · Computer Science 2024-10-22 Sebastian Bruch , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

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

In high-dimensional vector spaces, Approximate Nearest Neighbor Search (ANNS) is a key component in database and artificial intelligence infrastructures. Graph-based methods, particularly HNSW, have emerged as leading solutions among…

Databases · Computer Science 2025-02-26 Mengzhao Wang , Haotian Wu , Xiangyu Ke , Yunjun Gao , Yifan Zhu , Wenchao Zhou