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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…

机器学习 · 统计学 2021-09-09 Xiaoyun Li , 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…

数据结构与算法 · 计算机科学 2025-03-11 Andrea Clementi , Luciano Gualà , Luca Pepè Sciarria , Alessandro Straziota

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…

数据结构与算法 · 计算机科学 2018-11-13 Wei Wu , Bin Li , Ling Chen , Junbin Gao , Chengqi Zhang

Recent advancement of the WWW, IOT, social network, e-commerce, etc. have generated a large volume of data. These datasets are mostly represented by high dimensional and sparse datasets. Many fundamental subroutines of common data analytic…

信息检索 · 计算机科学 2019-10-11 Rameshwar Pratap , Debajyoti Bera , Karthik Revanuru

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…

数据结构与算法 · 计算机科学 2020-05-26 Tobias Christiani

We present a new approach for computing compact sketches that can be used to approximate the inner product between pairs of high-dimensional vectors. Based on the Weighted MinHash algorithm, our approach admits strong accuracy guarantees…

Minwise hashing (MinHash) is a standard algorithm widely used in the industry, for large-scale search and learning applications with the binary (0/1) Jaccard similarity. One common use of MinHash is for processing massive n-gram text…

机器学习 · 统计学 2023-06-14 Xiaoyun Li , Ping Li

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…

数据结构与算法 · 计算机科学 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

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…

数据结构与算法 · 计算机科学 2021-09-13 Xiaoyun Li , Ping Li

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…

数据结构与算法 · 计算机科学 2019-05-23 Pinghui Wang , Yiyan Qi , Yuanming Zhang , Qiaozhu Zhai , Chenxu Wang , John C. S. Lui , Xiaohong Guan

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…

机器学习 · 统计学 2014-11-17 Anshumali Shrivastava , Ping Li

We consider the $\textit{Similarity Sketching}$ problem: Given a universe $[u] = \{0,\ldots, u-1\}$ we want a random function $S$ mapping subsets $A\subseteq [u]$ into vectors $S(A)$ of size $t$, such that the Jaccard similarity $J(A,B) =…

数据结构与算法 · 计算机科学 2024-05-07 Søren Dahlgaard , Mathias Bæk Tejs Langhede , Jakob Bæk Tejs Houen , Mikkel Thorup

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…

机器学习 · 计算机科学 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

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…

多媒体 · 计算机科学 2018-07-11 Jun Long , Qunfeng Liu , Xinpan Yuan , Chengyuan Zhang , Junfeng Liu

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…

数据结构与算法 · 计算机科学 2014-10-17 Bernhard Haeupler , Mark Manasse , Kunal Talwar

In this work, we present a dimensionality reduction algorithm, aka. sketching, for categorical datasets. Our proposed sketching algorithm Cabin constructs low-dimensional binary sketches from high-dimensional categorical vectors, and our…

机器学习 · 计算机科学 2021-11-16 Bhisham Dev Verma , Rameshwar Pratap , Debajyoti Bera

The Min-Hashing approach to sketching has become an important tool in data analysis, information retrial, and classification. To apply it to real-valued datasets, the ICWS algorithm has become a seminal approach that is widely used, and…

机器学习 · 统计学 2018-10-24 Edward Raff , Jared Sylvester , Charles Nicholas

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…

数据结构与算法 · 计算机科学 2021-08-12 Otmar Ertl

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…

数据结构与算法 · 计算机科学 2017-06-20 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…

数据结构与算法 · 计算机科学 2020-10-27 Otmar Ertl
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