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The problem of landmark recognition has achieved excellent results in small-scale datasets. When dealing with large-scale retrieval, issues that were irrelevant with small amount of data, quickly become fundamental for an efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Federico Magliani , Tomaso Fontanini , Andrea Prati

We give new data-dependent locality sensitive hashing schemes (LSH) for the Earth Mover's Distance ($\mathsf{EMD}$), and as a result, improve the best approximation for nearest neighbor search under $\mathsf{EMD}$ by a quadratic factor.…

Data Structures and Algorithms · Computer Science 2024-03-11 Rajesh Jayaram , Erik Waingarten , Tian Zhang

[See the paper for the full abstract.] We show tight upper and lower bounds for time-space trade-offs for the $c$-Approximate Near Neighbor Search problem. For the $d$-dimensional Euclidean space and $n$-point datasets, we develop a data…

Data Structures and Algorithms · Computer Science 2019-10-04 Alexandr Andoni , Thijs Laarhoven , Ilya Razenshteyn , Erik Waingarten

Supervised hashing methods are widely-used for nearest neighbor search in computer vision applications. Most state-of-the-art supervised hashing approaches employ batch-learners. Unfortunately, batch-learning strategies can be inefficient…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

Machine Learning · Computer Science 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

$\renewcommand{\Re}{\mathbb{R}}$Recent work showed how to construct nearest-neighbor graphs of linear size, on a given set $P$ of $n$ points in $\Re^d$, such that one can answer approximate nearest-neighbor queries in logarithmic time in…

Computational Geometry · Computer Science 2026-02-10 Jeff Giliberti , Sariel Har-Peled , Jonas Sauer , Ali Vakilian

Similarity joins are important operations with a broad range of applications. In this paper, we study the problem of vector similarity join size estimation (VSJ). It is a generalization of the previously studied set similarity join size…

Databases · Computer Science 2011-04-19 Hongrae Lee , Raymond T. Ng , Kyuseok Shim

In this paper we study the problem of finding the approximate nearest neighbor of a query point in the high dimensional space, focusing on the Euclidean space. The earlier approaches use locality-preserving hash functions (that tend to map…

Data Structures and Algorithms · Computer Science 2007-05-23 Rina Panigrahy

The Apriori algorithm is a classical algorithm for the frequent itemset mining problem. A significant bottleneck in Apriori is the number of I/O operation involved, and the number of candidates it generates. We investigate the role of LSH…

Databases · Computer Science 2016-03-08 Debajyoti Bera , Rameshwar Pratap

Approximate nearest neighbor (ANN) search is a fundamental problem in many areas of data mining, machine learning and computer vision. The performance of traditional hierarchical structure (tree) based methods decreases as the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Cong Fu , Deng Cai

Recently, hashing methods have been widely used in large-scale image retrieval. However, most existing hashing methods did not consider the hierarchical relation of labels, which means that they ignored the rich information stored in the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Dan Wang , Heyan Huang , Chi Lu , Bo-Si Feng , Liqiang Nie , Guihua Wen , Xian-Ling Mao

In large scale systems, approximate nearest neighbour search is a crucial algorithm to enable efficient data retrievals. Recently, deep learning-based hashing algorithms have been proposed as a promising paradigm to enable data dependent…

Machine Learning · Computer Science 2019-02-12 Jo Schlemper , Jose Caballero , Andy Aitken , Joost van Amersfoort

Approximate near-neighbors search (\textsc{ANNS}) is a long-studied problem in computational geometry. %that has received considerable attention by researchers in the community. In this paper, we revisit the problem and propose the first…

Computational Geometry · Computer Science 2021-03-02 Majid Mirzanezhad

Kernel Density Estimation (KDE) is a nonparametric method for estimating the shape of a density function, given a set of samples from the distribution. Recently, locality-sensitive hashing, originally proposed as a tool for nearest neighbor…

Data Structures and Algorithms · Computer Science 2022-03-02 Matti Karppa , Martin Aumüller , Rasmus Pagh

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

We study approximate-near-neighbor data structures for time series under the continuous Fr\'echet distance. For an attainable approximation factor $c>1$ and a query radius $r$, an approximate-near-neighbor data structure can be used to…

Computational Geometry · Computer Science 2021-03-08 Anne Driemel , Ioannis Psarros

In recent years, Cross-Modal Hashing (CMH) has aroused much attention due to its fast query speed and efficient storage. Previous literatures have achieved promising results for Cross-Modal Retrieval (CMR) by discovering discriminative hash…

Multimedia · Computer Science 2023-10-06 Kaiyi Luo , Chao Zhang , Huaxiong Li , Xiuyi Jia , Chunlin Chen

Hashing is very popular for remote sensing image search. This article proposes a multiview hashing with learnable parameters to retrieve the queried images for a large-scale remote sensing dataset. Existing methods always neglect that…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Wenyun Li , Guo Zhong , Xingyu Lu , Chi-Man Pun

Approximate Nearest Neighbor Search (ANNS) in high dimensional spaces is crucial for many real-life applications (e.g., e-commerce, web, multimedia, etc.) dealing with an abundance of data. This paper proposes an end-to-end learning…

Machine Learning · Computer Science 2022-10-20 Abrar Fahim , Mohammed Eunus Ali , Muhammad Aamir Cheema

Hierarchical graph-based algorithms such as HNSW have achieved state-of-the-art performance for Approximate Nearest Neighbor (ANN) search in practice, yet they often lack theoretical guarantees on query time or recall due to their heavy use…

Data Structures and Algorithms · Computer Science 2025-05-26 Mohsen Dehghankar , Abolfazl Asudeh