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Approximate nearest neighbor search (ANN) data structures have widespread applications in machine learning, computational biology, and text processing. The goal of ANN is to preprocess a set S so that, given a query q, we can find a point y…

Data Structures and Algorithms · Computer Science 2024-07-03 Samuel McCauley

Large scale agglomerative clustering is hindered by computational burdens. We propose a novel scheme where exact inter-instance distance calculation is replaced by the Hamming distance between Kernelized Locality-Sensitive Hashing (KLSH)…

Machine Learning · Computer Science 2013-01-17 Boyi Xie , Shuheng Zheng

Locality-sensitive hashing (LSH) is a popular data-independent indexing method for approximate similarity search, where random projections followed by quantization hash the points from the database so as to ensure that the probability of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-04 Saehoon Kim , Seungjin Choi

We consider a new construction of locality-sensitive hash functions for Hamming space that is \emph{covering} in the sense that is it guaranteed to produce a collision for every pair of vectors within a given radius $r$. The construction is…

Data Structures and Algorithms · Computer Science 2016-01-08 Rasmus Pagh

"Reverse Nearest Neighbor" query finds applications in decision support systems, profile-based marketing, emergency services etc. In this paper, we point out a few flaws in the branch and bound algorithms proposed earlier for computing…

Data Structures and Algorithms · Computer Science 2015-06-17 Siddharth Dawar , Vikram Goyal , Debajyoti Bera

As the structural databases continue to expand, efficient methods are required to search similar structures of the query structure from the database. There are many previous works about comparing protein 3D structures and scanning the…

Databases · Computer Science 2011-02-16 Gook-Pil Roh , Seung-won Hwang , Byoung-Kee Yi

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

With the rapid development of GPU (Graphics Processing Unit) technologies and neural networks, we can explore more appropriate data structures and algorithms. Recent progress shows that neural networks can partly replace traditional data…

Information Retrieval · Computer Science 2023-10-17 Renyang Liu , Jun Zhao , Xing Chu , Yu Liang , Wei Zhou , Jing He

One way to find closest pairs in large datasets is to use hash functions. In recent years locality-sensitive hash functions for various metrics have been given: projecting an n-cube onto k bits is simple hash function that performs well. In…

Information Theory · Computer Science 2009-10-15 Daniel M. Gordon , Victor Miller , Peter Ostapenko

We study lower bounds for Locality Sensitive Hashing (LSH) in the strongest setting: point sets in {0,1}^d under the Hamming distance. Recall that here H is said to be an (r, cr, p, q)-sensitive hash family if all pairs x, y in {0,1}^d with…

Data Structures and Algorithms · Computer Science 2009-12-02 Ryan O'Donnell , Yi Wu , Yuan Zhou

The facility location problem is widely used for summarizing large datasets and has additional applications in sensor placement, image retrieval, and clustering. One difficulty of this problem is that submodular optimization algorithms…

Machine Learning · Statistics 2017-03-09 Erik M. Lindgren , Shanshan Wu , Alexandros G. Dimakis

In this paper we present a Bayesian image zooming/super-resolution algorithm based on a patch based representation. We work on a patch based model with overlap and employ a Locally Linear Embedding (LLE) based approach as our data fidelity…

Computer Vision and Pattern Recognition · Computer Science 2010-04-23 Mithun Das Gupta

This work addresses the problem of billion-scale nearest neighbor search. The state-of-the-art retrieval systems for billion-scale databases are currently based on the inverted multi-index, the recently proposed generalization of the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Dmitry Baranchuk , Artem Babenko , Yury Malkov

Instance Search (INS) is a fundamental problem for many applications, while it is more challenging comparing to traditional image search since the relevancy is defined at the instance level. Existing works have demonstrated the success of…

Computer Vision and Pattern Recognition · Computer Science 2017-01-30 Jingkuan Song , Tao He , Lianli Gao , Xing Xu , Heng Tao Shen

Exact nearest neighbor search is a computationally intensive process, and even its simpler sibling -- vector retrieval -- can be computationally complex. This is exacerbated when retrieving vectors which have high-dimension $d$ relative to…

Computation and Language · Computer Science 2024-05-08 Richard Zhu

The simple approach of retrieving a closest match of a query image from one in the gallery, compares an image pair using sum of absolute difference in pixel or feature space. The process is computationally expensive, ill-posed to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Saket Singh , Debdoot Sheet , Mithun Dasgupta

Recently, deep supervised hashing methods have become popular for large-scale image retrieval task. To preserve the semantic similarity notion between examples, they typically utilize the pairwise supervision or the triplet supervised…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Lei Ma , Hongliang Li , Qingbo Wu , Fanman Meng , King Ngi Ngan

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…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Nearest Neighbor Search (NNS) over generalized weighted distances is fundamental to a wide range of applications. The problem of NNS over the generalized weighted square Euclidean distance has been studied in previous work. However,…

Databases · Computer Science 2021-10-19 Huan Hu , Jianzhong Li

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