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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…

数据库 · 计算机科学 2022-11-17 Omid Jafari , Parth Nagarkar

Near neighbor problems are fundamental in algorithms for high-dimensional Euclidean spaces. While classical approaches suffer from the curse of dimensionality, locality sensitive hashing (LSH) can effectively solve a-approximate r-near…

数据结构与算法 · 计算机科学 2016-12-15 Wenlong Mou , Liwei Wang

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

The nearest neighbor problem is defined as follows: Given a set $P$ of $n$ points in some metric space $(X,D)$, build a data structure that, given any point $q$, returns a point in $P$ that is closest to $q$ (its "nearest neighbor" in $P$).…

数据结构与算法 · 计算机科学 2018-06-27 Alexandr Andoni , Piotr Indyk , Ilya Razenshteyn

We initiate the study of multi-attribute group fairness in $k$-nearest neighbor ($k$-NN) search over vector databases. Unlike prior work that optimizes efficiency or query filtering, fairness imposes count constraints to ensure proportional…

数据库 · 计算机科学 2026-02-23 Thinh On , Senjuti Basu Roy , Baruch Schieber

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…

数据结构与算法 · 计算机科学 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Locality-sensitive hashing (LSH) is an important tool for managing high-dimensional noisy or uncertain data, for example in connection with data cleaning (similarity join) and noise-robust search (similarity search). However, for a number…

数据结构与算法 · 计算机科学 2018-04-18 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Francesco Silvestri

Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many multimedia retrieval applications. Exact tree-based indexing approaches are known to suffer from the notorious curse of dimensionality for…

数据库 · 计算机科学 2021-02-16 Omid Jafari , Parth Nagarkar

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

人工智能 · 计算机科学 2017-08-28 Jing Wang

The explosive growth in big data has attracted much attention in designing efficient indexing and search methods recently. In many critical applications such as large-scale search and pattern matching, finding the nearest neighbors to a…

机器学习 · 计算机科学 2015-09-21 Jun Wang , Wei Liu , Sanjiv Kumar , Shih-Fu Chang

In Near-Neighbor Search (NNS), a new client queries a database (held by a server) for the most similar data (near-neighbors) given a certain similarity metric. The Privacy-Preserving variant (PP-NNS) requires that neither server nor the…

密码学与安全 · 计算机科学 2019-10-18 M. Sadegh Riazi , Beidi Chen , Anshumali Shrivastava , Dan Wallach , Farinaz Koushanfar

We introduce a new variant of the nearest neighbor search problem, which allows for some coordinates of the dataset to be arbitrarily corrupted or unknown. Formally, given a dataset of $n$ points $P=\{ x_1,\ldots, x_n\}$ in high-dimensions,…

计算几何 · 计算机科学 2015-11-24 Sariel Har-Peled , Sepideh Mahabadi

Nearest neighbors search is a fundamental problem in various research fields like machine learning, data mining and pattern recognition. Recently, hashing-based approaches, e.g., Locality Sensitive Hashing (LSH), are proved to be effective…

信息检索 · 计算机科学 2012-05-15 Yue Lin , Deng Cai , Cheng Li

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

数据结构与算法 · 计算机科学 2020-07-10 Samuel McCauley

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

计算机视觉与模式识别 · 计算机科学 2019-06-20 Deng Cai

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…

数据结构与算法 · 计算机科学 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

Fixed-radius near neighbor search is a fundamental data operation that retrieves all data points within a user-specified distance to a query point. There are efficient algorithms that can provide fast approximate query responses, but they…

信息检索 · 计算机科学 2024-01-30 Xinye Chen , Stefan Güttel

Nearest Neighbor Search (NNS) is a fundamental problem in data structures with wide-ranging applications, such as web search, recommendation systems, and, more recently, retrieval-augmented generations (RAG). In such recent applications, in…

数据结构与算法 · 计算机科学 2026-02-10 Siddharth Barman , Nirjhar Das , Shivam Gupta , Kirankumar Shiragur

Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases,…

计算几何 · 计算机科学 2016-06-02 Pankaj K. Agarwal , Boris Aronov , Sariel Har-Peled , Jeff M. Philips , Ke Yi , Wuzhou Zhang

We consider the problem of finding high dimensional approximate nearest neighbors. Suppose there are d independent rare features, each having its own independent statistics. A point x will have x_{i}=0 denote the absence of feature i, and…

信息论 · 计算机科学 2008-10-24 Moshe Dubiner