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The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

Similarity search is critical for many database applications, including the increasingly popular online services for Content-Based Multimedia Retrieval (CBMR). These services, which include image search engines, must handle an overwhelming…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-16 Thiago S. F. X. Teixeira , George Teodoro , Eduardo Valle , Joel H. Saltz

We study the problem of domain search where a domain is a set of distinct values from an unspecified universe. We use Jaccard set containment, defined as $|Q \cap X|/|Q|$, as the relevance measure of a domain $X$ to a query domain $Q$. Our…

Databases · Computer Science 2016-07-26 Erkang Zhu , Fatemeh Nargesian , Ken Q. Pu , Renée J. Miller

Estimating set similarity and detecting highly similar sets are fundamental problems in areas such as databases, machine learning, and information retrieval. MinHash is a well-known technique for approximating Jaccard similarity of sets and…

Data Structures and Algorithms · Computer Science 2019-05-23 Pinghui Wang , Yiyan Qi , Yuanming Zhang , Qiaozhu Zhai , Chenxu Wang , John C. S. Lui , Xiaohong Guan

We introduce simple, efficient algorithms for computing a MinHash of a probability distribution, suitable for both sparse and dense data, with equivalent running times to the state of the art for both cases. The collision probability of…

Data Structures and Algorithms · Computer Science 2019-01-04 Ryan Moulton , Yunjiang Jiang

The Jaccard similarity index has often been employed in science and technology as a means to quantify the similarity between two sets. When modified to operate on real-valued values, the Jaccard similarity index can be applied to compare…

Data Analysis, Statistics and Probability · Physics 2024-10-23 Gonzalo Travieso , Alexandre Benatti , Luciano da F. Costa

Data similarity (or distance) computation is a fundamental research topic which underpins many high-level applications based on similarity measures in machine learning and data mining. However, in large-scale real-world scenarios, the exact…

Data Structures and Algorithms · Computer Science 2018-11-13 Wei Wu , Bin Li , Ling Chen , Junbin Gao , Chengqi Zhang

Similarity search is the task of retrieving data items that are similar to a given query. In this paper, we introduce the time-sensitive notion of similarity search over endless data-streams (SSDS), which takes into account data quality and…

Information Retrieval · Computer Science 2017-08-08 Naama Kraus , David Carmel , Idit Keidar

Document sketching using Jaccard similarity has been a workable effective technique in reducing near-duplicates in Web page and image search results, and has also proven useful in file system synchronization, compression and learning…

Data Structures and Algorithms · Computer Science 2014-10-17 Bernhard Haeupler , Mark Manasse , Kunal Talwar

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 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

Recent technological advancements have led to the generation of huge amounts of data over the web, such as text, image, audio and video. Most of this data is high dimensional and sparse, for e.g., the bag-of-words representation used for…

Information Theory · Computer Science 2017-08-17 Rameshwar Pratap , Ishan Sohony , Raghav Kulkarni

Data similarity (or distance) computation is a fundamental research topic which fosters a variety of similarity-based machine learning and data mining applications. In big data analytics, it is impractical to compute the exact similarity of…

Data Structures and Algorithms · Computer Science 2025-03-12 Wei Wu , Bin Li

This paper presents a new algorithm for calculating hash signatures of sets which can be directly used for Jaccard similarity estimation. The new approach is an improvement over the MinHash algorithm, because it has a better runtime…

Data Structures and Algorithms · Computer Science 2017-06-20 Otmar Ertl

Similarity search in high-dimensional spaces is an important task for many multimedia applications. Due to the notorious curse of dimensionality, approximate nearest neighbor techniques are preferred over exact searching techniques since…

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

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

Similarity-preserving hashing is a core technique for fast similarity searches, and it randomly maps data points in a metric space to strings of discrete symbols (i.e., sketches) in the Hamming space. While traditional hashing techniques…

Data Structures and Algorithms · Computer Science 2020-09-25 Shunsuke Kanda , Yasuo Tabei

Locality Sensitive Hashing (LSH) is an effective method to index a set of points such that we can efficiently find the nearest neighbors of a query point. We extend this method to our novel Set-query LSH (SLSH), such that it can find the…

Data Structures and Algorithms · Computer Science 2020-04-23 Haim Kaplan , Jay Tenenbaum

Metrics for set similarity are a core aspect of several data mining tasks. To remove duplicate results in a Web search, for example, a common approach looks at the Jaccard index between all pairs of pages. In social network analysis, a…

Social and Information Networks · Computer Science 2023-05-30 Igor Nunes , Mike Heddes , Pere Vergés , Danny Abraham , Alexander Veidenbaum , Alexandru Nicolau , Tony Givargis

The rise of internet has resulted in an explosion of data consisting of millions of articles, images, songs, and videos. Most of this data is high dimensional and sparse. The need to perform an efficient search for similar objects in such…

Data Structures and Algorithms · Computer Science 2016-12-20 Raghav Kulkarni , Rameshwar Pratap
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