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Minwise hashing has become a standard tool to calculate signatures which allow direct estimation of Jaccard similarities. While very efficient algorithms already exist for the unweighted case, the calculation of signatures for weighted sets…

Data Structures and Algorithms · Computer Science 2018-07-24 Otmar Ertl

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

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

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

Minwise hashing (MinHash) is an important and practical algorithm for generating random hashes to approximate the Jaccard (resemblance) similarity in massive binary (0/1) data. The basic theory of MinHash requires applying hundreds or even…

Machine Learning · Statistics 2021-09-09 Xiaoyun Li , Ping Li

Minwise hashing is the standard technique in the context of search and databases for efficiently estimating set (e.g., high-dimensional 0/1 vector) similarities. Recently, b-bit minwise hashing was proposed which significantly improves upon…

Machine Learning · Statistics 2011-08-04 Ping Li , Christian Konig

In this extended abstract, we describe and analyze a lossy compression of MinHash from buckets of size $O(\log n)$ to buckets of size $O(\log\log n)$ by encoding using floating-point notation. This new compressed sketch, which we call…

Data Structures and Algorithms · Computer Science 2019-07-16 Yun William Yu , Griffin M. Weber

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

The Jaccard index is an important similarity measure for item sets and Boolean data. On large datasets, an exact similarity computation is often infeasible for all item pairs both due to time and space constraints, giving rise to faster…

Data Structures and Algorithms · Computer Science 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

Minwise hashing (MinHash) is a classical method for efficiently estimating the Jaccrad similarity in massive binary (0/1) data. To generate $K$ hash values for each data vector, the standard theory of MinHash requires $K$ independent…

Machine Learning · Statistics 2021-11-19 Xiaoyun Li , Ping Li

Weighted minwise hashing is a standard dimensionality reduction technique with applications to similarity search and large-scale kernel machines. We introduce a simple algorithm that takes a weighted set $x \in \mathbb{R}_{\geq 0}^{d}$ and…

Data Structures and Algorithms · Computer Science 2020-05-26 Tobias Christiani

Traditional minwise hashing (MinHash) requires applying $K$ independent permutations to estimate the Jaccard similarity in massive binary (0/1) data, where $K$ can be (e.g.,) 1024 or even larger, depending on applications. The recent work…

Data Structures and Algorithms · Computer Science 2021-09-13 Xiaoyun Li , Ping Li

Electronic information is increasingly often shared among entities without complete mutual trust. To address related security and privacy issues, a few cryptographic techniques have emerged that support privacy-preserving information…

Cryptography and Security · Computer Science 2013-09-23 Carlo Blundo , Emiliano De Cristofaro , Paolo Gasti

Min-Hash is a popular technique for efficiently estimating the Jaccard similarity of binary sets. Consistent Weighted Sampling (CWS) generalizes the Min-Hash scheme to sketch weighted sets and has drawn increasing interest from the…

Data Structures and Algorithms · Computer Science 2017-06-06 Wei Wu , Bin Li , Ling Chen , Chengqi Zhang , Philip S. Yu

MinHash and HyperLogLog are sketching algorithms that have become indispensable for set summaries in big data applications. While HyperLogLog allows counting different elements with very little space, MinHash is suitable for the fast…

Data Structures and Algorithms · Computer Science 2021-08-12 Otmar Ertl

Minwise hashing is a fundamental and one of the most successful hashing algorithm in the literature. Recent advances based on the idea of densification~\cite{Proc:OneHashLSH_ICML14,Proc:Shrivastava_UAI14} have shown that it is possible to…

Data Structures and Algorithms · Computer Science 2017-03-16 Anshumali Shrivastava

Minwise hashing (Minhash) is a widely popular indexing scheme in practice. Minhash is designed for estimating set resemblance and is known to be suboptimal in many applications where the desired measure is set overlap (i.e., inner product…

Machine Learning · Statistics 2014-11-17 Anshumali Shrivastava , Ping Li

We consider the task of performing Jaccard similarity queries over a large collection of items that are dynamically updated according to a streaming input model. An item here is a subset of a large universe $U$ of elements. A well-studied…

Data Structures and Algorithms · Computer Science 2025-03-11 Andrea Clementi , Luciano Gualà , Luca Pepè Sciarria , Alessandro Straziota

This paper establishes the theoretical framework of b-bit minwise hashing. The original minwise hashing method has become a standard technique for estimating set similarity (e.g., resemblance) with applications in information retrieval,…

Data Structures and Algorithms · Computer Science 2009-10-20 Ping Li , Arnd Christian Konig

Image similarity measures play an important role in nearest neighbor search and duplicate detection for large-scale image datasets. Recently, Minwise Hashing (or Minhash) and its related hashing algorithms have achieved great performances…

Multimedia · Computer Science 2018-07-11 Jun Long , Qunfeng Liu , Xinpan Yuan , Chengyuan Zhang , Junfeng Liu
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