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Learning from set-structured data is an essential problem with many applications in machine learning and computer vision. This paper focuses on non-parametric and data-independent learning from set-structured data using approximate nearest…

机器学习 · 计算机科学 2022-02-10 Yuzhe Lu , Xinran Liu , Andrea Soltoggio , Soheil Kolouri

Locality-sensitive hashing (LSH) is a well-known solution for approximate nearest neighbor (ANN) search with theoretical guarantees. Traditional LSH-based methods mainly focus on improving the efficiency and accuracy of query phase by…

数据库 · 计算机科学 2026-03-27 Jiuqi Wei , Xiaodong Lee , Botao Peng , Quanqing Xu , Chuanhui Yang , Themis Palpanas

We show that approximate similarity (near neighbour) search can be solved in high dimensions with performance matching state of the art (data independent) Locality Sensitive Hashing, but with a guarantee of no false negatives. Specifically,…

数据结构与算法 · 计算机科学 2018-06-28 Thomas Dybdahl Ahle

Recently it was shown that the problem of Maximum Inner Product Search (MIPS) is efficient and it admits provably sub-linear hashing algorithms. Asymmetric transformations before hashing were the key in solving MIPS which was otherwise…

机器学习 · 统计学 2014-11-14 Anshumali Shrivastava , Ping Li

Approximate Nearest Neighbor (ANN) search has become fundamental to modern AI infrastructure, powering recommendation systems, search engines, and large language models across industry leaders from Google to OpenAI. Hierarchical Navigable…

信息检索 · 计算机科学 2026-02-26 Ganap Ashit Tewary , Nrusinga Charan Gantayat , Jeff Zhang

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

数据结构与算法 · 计算机科学 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

数据结构与算法 · 计算机科学 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

Locality sensitive hashing (LSH) is a fundamental algorithmic toolkit used by data scientists for approximate nearest neighbour search problems that have been used extensively in many large scale data processing applications such as near…

机器学习 · 统计学 2025-03-04 Bhisham Dev Verma , Rameshwar Pratap

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…

数据结构与算法 · 计算机科学 2017-04-07 Ke Li , Jitendra Malik

We investigate the problem of finding reverse nearest neighbors efficiently. Although provably good solutions exist for this problem in low or fixed dimensions, to this date the methods proposed in high dimensions are mostly heuristic. We…

计算几何 · 计算机科学 2010-11-24 David Arthur , Steve Y. Oudot

Locality-sensitive hashing (LSH) is a fundamental algorithmic technique widely employed in large-scale data processing applications, such as nearest-neighbor search, entity resolution, and clustering. However, its applicability in some…

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…

数据结构与算法 · 计算机科学 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

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…

数据结构与算法 · 计算机科学 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

机器学习 · 计算机科学 2025-12-01 Sajjad Hashemian

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

机器学习 · 计算机科学 2018-12-06 Jaiyam Sharma , Saket Navlakha

Computing approximate nearest neighbors in high dimensional spaces is a central problem in large-scale data mining with a wide range of applications in machine learning and data science. A popular and effective technique in computing…

机器学习 · 计算机科学 2019-10-29 Lin Chen , Hossein Esfandiari , Thomas Fu , Vahab S. Mirrokni

Locality-sensitive hashing (LSH) is a fundamental technique for similarity search and similarity estimation in high-dimensional spaces. The basic idea is that similar objects should produce hash collisions with probability significantly…

计算几何 · 计算机科学 2017-09-25 Joachim Gudmundsson , Rasmus Pagh

Quantization has been an effective technology in ANN (approximate nearest neighbour) search due to its high accuracy and fast search speed. To meet the requirement of different applications, there is always a trade-off between retrieval…

计算机视觉与模式识别 · 计算机科学 2020-12-08 Jingkuan Song , Xiaosu Zhu , Lianli Gao , Xin-Shun Xu , Wu Liu , Heng Tao Shen

Approximate Nearest Neighbor Search (ANNS) is a fundamental algorithmic problem, with numerous applications in many areas of computer science. Locality-sensitive hashing (LSH) is one of the most popular solution approaches for ANNS. A…

数据库 · 计算机科学 2021-03-11 Huayi Wang , Jingfan Meng , Long Gong , Jun Xu , Mitsunori Ogihara

MinHash and SimHash are the two widely adopted Locality Sensitive Hashing (LSH) algorithms for large-scale data processing applications. Deciding which LSH to use for a particular problem at hand is an important question, which has no clear…

统计计算 · 统计学 2014-07-17 Anshumali Shrivastava , Ping Li