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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…

Computational Geometry · Computer Science 2010-11-24 David Arthur , Steve Y. Oudot

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

The multichannel rendezvous problem is a fundamental problem for neighbor discovery in many IoT applications. The existing works in the literature focus mostly on improving the worst-case performance, and the average-case performance is…

Networking and Internet Architecture · Computer Science 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

This paper provides a new similarity detection algorithm. Given an input set of multi-dimensional data points, where each data point is assumed to be multi-dimensional, and an additional reference data point for similarity finding, the…

Artificial Intelligence · Computer Science 2017-07-12 Yariv Aizenbud , Amir Averbuch , Gil Shabat , Guy Ziv

The retrieval problem is the problem of associating data with keys in a set. Formally, the data structure must store a function f: U ->{0,1}^r that has specified values on the elements of a given set S, a subset of U, |S|=n, but may have…

Data Structures and Algorithms · Computer Science 2008-03-27 Martin Dietzfelbinger , Rasmus Pagh

In an automated search system, similarity is a key concept in solving a human task. Indeed, human process is usually a natural categorization that underlies many natural abilities such as image recovery, language comprehension, decision…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Yosr Ghozzi , Nesrine Baklouti , Hani Hagras , Mounir Ben Ayed , Adel M. Alimi

Similarity search queries in high-dimensional spaces are an important type of queries in many domains such as image processing, machine learning, etc. Since exact similarity search indexing techniques suffer from the well-known curse of…

Databases · Computer Science 2019-07-30 Omid Jafari , John Ossorgin , Parth Nagarkar

Consider a query-based data acquisition problem that aims to recover the values of $k$ binary variables from parity (XOR) measurements of chosen subsets of the variables. Assume the response model where only a randomly selected subset of…

Information Theory · Computer Science 2019-11-11 Hye Won Chung , Ji Oon Lee , Doyeon Kim , Alfred O. Hero

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

In this paper, we study several critical issues which must be tackled before one can apply b-bit minwise hashing to the volumes of data often used industrial applications, especially in the context of search. 1. (b-bit) Minwise hashing…

Information Retrieval · Computer Science 2012-05-15 Ping Li , Anshumali Shrivastava , Arnd Christian Konig

Maximum Inner Product Search or top-k retrieval on sparse vectors is well-understood in information retrieval, with a number of mature algorithms that solve it exactly. However, all existing algorithms are tailored to text and…

Information Retrieval · Computer Science 2023-07-19 Sebastian Bruch , Franco Maria Nardini , Amir Ingber , Edo Liberty

Fast item ranking is an important task in recommender systems. In previous works, graph-based Approximate Nearest Neighbor (ANN) approaches have demonstrated good performance on item ranking tasks with generic searching/matching measures…

Information Retrieval · Computer Science 2022-11-02 Khoa Doan , Shulong Tan , Weijie Zhao , Ping Li

Nowadays, data is represented by vectors. Retrieving those vectors, among millions and billions, that are similar to a given query is a ubiquitous problem, known as similarity search, of relevance for a wide range of applications.…

Machine Learning · Computer Science 2023-07-26 Cecilia Aguerrebere , Ishwar Bhati , Mark Hildebrand , Mariano Tepper , Ted Willke

Finding similar images is a necessary operation in many multimedia applications. Images are often represented and stored as a set of high-dimensional features, which are extracted using localized feature extraction algorithms. Locality…

Multimedia · Computer Science 2020-10-16 Omid Jafari , Parth Nagarkar , Jonathan Montaño

Similarity search over a bipartite graph aims to retrieve from the graph the nodes that are similar to each other, which finds applications in various fields such as online advertising, recommender systems etc. Existing similarity measures…

Social and Information Networks · Computer Science 2023-12-13 Renchi Yang

In supervised binary hashing, one wants to learn a function that maps a high-dimensional feature vector to a vector of binary codes, for application to fast image retrieval. This typically results in a difficult optimization problem,…

Machine Learning · Computer Science 2016-02-08 Ramin Raziperchikolaei , Miguel Á. Carreira-Perpiñán

The Nearest Neighbor Search (NNS) problem asks to design a data structure that preprocesses an $n$-point dataset $X$ lying in a metric space $\mathcal{M}$, so that given a query point $q \in \mathcal{M}$, one can quickly return a point of…

Data Structures and Algorithms · Computer Science 2026-03-24 Robert Krauthgamer , Nir Petruschka

We propose a novel hashing-based matching scheme, called Locally Optimized Hashing (LOH), based on a state-of-the-art quantization algorithm that can be used for efficient, large-scale search, recommendation, clustering, and deduplication.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Yannis Kalantidis , Lyndon Kennedy , Huy Nguyen , Clayton Mellina , David A. Shamma

Recently, hashing is widely used in approximate nearest neighbor search for its storage and computational efficiency. Most of the unsupervised hashing methods learn to map images into semantic similarity-preserving hash codes by…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Xiao Luo , Daqing Wu , Zeyu Ma , Chong Chen , Minghua Deng , Jinwen Ma , Zhongming Jin , Jianqiang Huang , Xian-Sheng Hua

Given a set of n disjoint balls b1, . . ., bn in IRd, we provide a data structure, of near linear size, that can answer (1 \pm \epsilon)-approximate kth-nearest neighbor queries in O(log n + 1/\epsilon^d) time, where k and \epsilon are…

Computational Geometry · Computer Science 2014-10-30 Sariel Har-Peled , Nirman Kumar
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