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We show that approximate near neighbor search in high dimensions can be solved in a Las Vegas fashion (i.e., without false negatives) for $\ell_p$ ($1\le p\le 2$) while matching the performance of optimal locality-sensitive hashing.…

Data Structures and Algorithms · Computer Science 2018-07-20 Alexander Wei

We consider the problem of approximate set similarity search under Braun-Blanquet similarity $B(\mathbf{x}, \mathbf{y}) = |\mathbf{x} \cap \mathbf{y}| / \max(|\mathbf{x}|, |\mathbf{y}|)$. The $(b_2, b_2)$-approximate Braun-Blanquet…

Data Structures and Algorithms · Computer Science 2017-04-19 Tobias Christiani , Rasmus Pagh

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

Data Structures and Algorithms · Computer Science 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

Contrastive learning is a representational learning paradigm in which a neural network maps data elements to feature vectors. It improves the feature space by forming lots with an anchor and examples that are either positive or negative…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Fabian Deuser , Philipp Hausenblas , Hannah Schieber , Daniel Roth , Martin Werner , Norbert Oswald

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

Data Structures and Algorithms · Computer Science 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

This paper introduces "Multi-Level Spherical LSH": parameter-free, a multi-level, data-dependant Locality Sensitive Hashing data structure for solving the Approximate Near Neighbors Problem (ANN). This data structure uses a modified version…

Data Structures and Algorithms · Computer Science 2017-09-19 Teresa Nicole Brooks , Rania Almajalid

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

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

Gene sequence search is a fundamental operation in computational genomics. Due to the petabyte scale of genome archives, most gene search systems now use hashing-based data structures such as Bloom Filters (BF). The state-of-the-art systems…

Information Retrieval · Computer Science 2024-06-24 Aditya Desai , Gaurav Gupta , Tianyi Zhang , Anshumali Shrivastava

Given a collection of objects and an associated similarity measure, the all-pairs similarity search problem asks us to find all pairs of objects with similarity greater than a certain user-specified threshold. Locality-sensitive hashing…

Databases · Computer Science 2012-03-29 Venu Satuluri , Srinivasan Parthasarathy

Hashing has been widely researched to solve the large-scale approximate nearest neighbor search problem owing to its time and storage superiority. In recent years, a number of online hashing methods have emerged, which can update the hash…

Databases · Computer Science 2022-12-07 Wenzhe Jia , Yuan Cao , Junwei Liu , Jie Gui

State-of-the-art hierarchical localisation pipelines (HLoc) employ image retrieval (IR) to establish 2D-3D correspondences by selecting the top-$k$ most similar images from a reference database. While increasing $k$ improves localisation…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Changkun Liu , Jianhao Jiao , Huajian Huang , Zhengyang Ma , Dimitrios Kanoulas , Tristan Braud

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…

Data Structures and Algorithms · Computer Science 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

Although convolution neural network based stereo matching architectures have made impressive achievements, there are still some limitations: 1) Convolutional Feature (CF) tends to capture appearance information, which is inadequate for…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Biyang Liu , Huimin Yu , Yangqi Long

Nearest-neighbor query processing is a fundamental operation for many image retrieval applications. Often, images are stored and represented by high-dimensional vectors that are generated by feature-extraction algorithms. Since tree-based…

Databases · Computer Science 2019-12-17 Omid Jafari , Khandker Mushfiqul Islam , Parth Nagarkar

To overcome the large memory requirement of classical lattice sieving algorithms for solving hard lattice problems, Bai-Laarhoven-Stehl\'{e} [ANTS 2016] studied tuple lattice sieving, where tuples instead of pairs of lattice vectors are…

Data Structures and Algorithms · Computer Science 2018-02-26 Thijs Laarhoven

We present the first provable Least-Squares Value Iteration (LSVI) algorithms that have runtime complexity sublinear in the number of actions. We formulate the value function estimation procedure in value iteration as an approximate maximum…

Data Structures and Algorithms · Computer Science 2021-06-09 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

In this work, we report on a novel application of Locality Sensitive Hashing (LSH) to seismic data at scale. Based on the high waveform similarity between reoccurring earthquakes, our application identifies potential earthquakes by…

Due to the compelling efficiency in retrieval and storage, similarity-preserving hashing has been widely applied to approximate nearest neighbor search in large-scale image retrieval. However, existing methods have poor performance in…

Multimedia · Computer Science 2020-04-27 Xingbo Liu , Xiushan Nie , Qi Dai , Yupan Huang , Yilong Yin

Location-based services (LBS) have become more and more ubiquitous recently. Existing methods focus on finding relevant points-of-interest (POIs) based on users' locations and query keywords. Nowadays, modern LBS applications generate a new…

Databases · Computer Science 2012-05-31 Ju Fan , Guoliang Li , Lizhu Zhou , Shanshan Chen , Jun Hu