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Locality-sensitive hashing (LSH) is an effective randomized technique widely used in many machine learning tasks. The cost of hashing is proportional to data dimensions, and thus often the performance bottleneck when dimensionality is high…

Machine Learning · Computer Science 2023-09-28 Zongyuan Tan , Hongya Wang , Bo Xu , Minjie Luo , Ming Du

Merge trees are fundamental structures in topological data analysis. Interleaving distance is a widely accepted metric for comparing merge trees, with applications in visualization and scientific computing. While a greedy algorithm exists…

Computational Geometry · Computer Science 2025-09-22 Elena Farahbakhsh Touli , Talha Bin Masood

Locality-sensitive hashing (LSH), introduced by Indyk and Motwani in STOC '98, has been an extremely influential framework for nearest neighbor search in high-dimensional data sets. While theoretical work has focused on the approximate…

Data Structures and Algorithms · Computer Science 2018-12-07 Tobias Christiani , Rasmus Pagh , Mikkel Thorup

In this paper, we present a flexible and probabilistic framework for tracking topological features in time-varying scalar fields using merge trees and partial optimal transport. Merge trees are topological descriptors that record the…

Computational Geometry · Computer Science 2025-08-26 Mingzhe Li , Xinyuan Yan , Lin Yan , Tom Needham , Bei Wang

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 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…

In this work, we propose trait-based merge trees a generalization of merge trees to feature level sets, targeting the analysis of tensor field or general multi-variate data. For this, we employ the notion of traits defined in attribute…

Machine Learning · Computer Science 2023-08-21 Jochen Jankowai , Talha Bin Masood , Ingrid Hotz

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…

Data Structures and Algorithms · Computer Science 2018-04-18 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Francesco Silvestri

Hash codes are a very efficient data representation needed to be able to cope with the ever growing amounts of data. We introduce a random forest semantic hashing scheme with information-theoretic code aggregation, showing for the first…

Computer Vision and Pattern Recognition · Computer Science 2015-04-20 Qiang Qiu , Guillermo Sapiro , Alex Bronstein

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

Machine Learning · Computer Science 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

Machine Learning · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

Machine Learning · Computer Science 2018-12-06 Jaiyam Sharma , Saket Navlakha

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

Locality-sensitive hashing (LSH) is a well-known solution for approximate nearest neighbor (ANN) search in high-dimensional spaces due to its robust theoretical guarantee on query accuracy. Traditional LSH-based methods mainly focus on…

Databases · Computer Science 2026-02-11 Jiuqi Wei , Botao Peng , Xiaodong Lee , Themis Palpanas

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…

Information Retrieval · Computer Science 2012-05-15 Yue Lin , Deng Cai , Cheng Li

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

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 this work, we show deep connections between Locality Sensitive Hashability and submodular analysis. We show that the LSHablility of the most commonly analyzed set similarities is in one-to-one correspondance with the supermodularity of…

Discrete Mathematics · Computer Science 2018-07-19 Maxim Berman , Matthew B. Blaschko

Hash-based sampling and estimation are common themes in computing. Using hashing for sampling gives us the coordination needed to compare samples from different sets. Hashing is also used when we want to count distinct elements. The quality…

Data Structures and Algorithms · Computer Science 2024-12-02 Anders Aamand , Ioana O. Bercea , Jakob Bæk Tejs Houen , Jonas Klausen , Mikkel Thorup

We present an I/O-efficient algorithm for computing similarity joins based on locality-sensitive hashing (LSH). In contrast to the filtering methods commonly suggested our method has provable sub-quadratic dependency on the data size.…

Data Structures and Algorithms · Computer Science 2017-03-29 Rasmus Pagh , Ninh Pham , Francesco Silvestri , Morten Stöckel