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A growing interest has been witnessed recently from both academia and industry in building nearest neighbor search (NNS) solutions on top of full-text search engines. Compared with other NNS systems, such solutions are capable of…

Information Retrieval · Computer Science 2019-07-30 Cun Mu , Jun Zhao , Guang Yang , Binwei Yang , Zheng Yan

Approximate Nearest Neighbor (ANN) search and Approximate Kernel Density Estimation (A-KDE) are fundamental problems at the core of modern machine learning, with broad applications in data analysis, information systems, and large-scale…

Machine Learning · Computer Science 2025-10-28 Ved Danait , Srijan Das , Sujoy Bhore

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

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

We consider the $(1+\epsilon)$-approximate nearest neighbor search problem: given a set $X$ of $n$ points in a $d$-dimensional space, build a data structure that, given any query point $y$, finds a point $x \in X$ whose distance to $y$ is…

Data Structures and Algorithms · Computer Science 2018-07-03 Piotr Indyk , Tal Wagner

The task of compressing pre-trained Deep Neural Networks has attracted wide interest of the research community due to its great benefits in freeing practitioners from data access requirements. In this domain, low-rank approximation is a…

Machine Learning · Computer Science 2022-08-23 Zhewen Yu , Christos-Savvas Bouganis

Approximate Nearest Neighbor Search (ANNS) is essential for various data-intensive applications, including recommendation systems, image retrieval, and machine learning. Scaling ANNS to handle billions of high-dimensional vectors on a…

Databases · Computer Science 2025-06-18 Qian Xu , Feng Zhang , Chengxi Li , Lei Cao , Zheng Chen , Jidong Zhai , Xiaoyong Du

Dense high dimensional vectors are becoming increasingly vital in fields such as computer vision, machine learning, and large language models (LLMs), serving as standard representations for multimodal data. Now the dimensionality of these…

Machine Learning · Computer Science 2024-10-10 Zhonghan Chen , Ruiyuan Zhang , Xi Zhao , Xiaojun Cheng , Xiaofang Zhou

Nearest Neighbor Search (NNS) has recently drawn a rapid increase of interest due to its core role in managing high-dimensional vector data in data science and AI applications. The interest is fueled by the success of neural embedding,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Zhen Peng , Minjia Zhang , Kai Li , Ruoming Jin , Bin Ren

The $c$-approximate Near Neighbor problem in high dimensional spaces has been mainly addressed by Locality Sensitive Hashing (LSH), which offers polynomial dependence on the dimension, query time sublinear in the size of the dataset, and…

Computational Geometry · Computer Science 2016-12-23 Georgia Avarikioti , Ioannis Z. Emiris , Ioannis Psarros , Georgios Samaras

Search spaces hallmark the advancement of Neural Architecture Search (NAS). Large and complex search spaces with versatile building operators and structures provide more opportunities to brew promising architectures, yet pose severe…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Bhavna Gopal , Arjun Sridhar , Tunhou Zhang , Yiran Chen

Scaling Approximate Nearest Neighbor Search (ANNS) to billions of vectors requires distributed indexes that balance accuracy, latency, and throughput. Yet existing index designs struggle with this tradeoff. This paper presents SPIRE, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-22 Yuming Xu , Qianxi Zhang , Qi Chen , Baotong Lu , Menghao Li , Philip Adams , Mingqin Li , Zengzhong Li , Jing Liu , Cheng Li , Fan Yang

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

This paper studies the subspace segmentation problem which aims to segment data drawn from a union of multiple linear subspaces. Recent works by using sparse representation, low rank representation and their extensions attract much…

Computer Vision and Pattern Recognition · Computer Science 2014-04-29 Can-Yi Lu , Hai Min , Zhong-Qiu Zhao , Lin Zhu , De-Shuang Huang , Shuicheng Yan

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

Data Structures and Algorithms · Computer Science 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

Approximate nearest neighbor search (ANNS) has become vital to modern AI infrastructure, particularly in retrieval-augmented generation (RAG) applications. Numerous in-browser ANNS engines have emerged to seamlessly integrate with popular…

Information Retrieval · Computer Science 2025-07-03 Mugeng Liu , Siqi Zhong , Qi Yang , Yudong Han , Xuanzhe Liu , Yun Ma

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

Machine Learning · Computer Science 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

Approximate Nearest Neighbor Search (ANNS) is a critical component of modern AI systems, such as recommendation engines and retrieval-augmented large language models (RAG-LLMs). However, scaling ANNS to billion-entry datasets exposes…

Hardware Architecture · Computer Science 2025-08-21 Sitian Chen , Amelie Chi Zhou , Yucheng Shi , Yusen Li , Xin Yao

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen
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