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The existing work on densification of one permutation hashing reduces the query processing cost of the $(K,L)$-parameterized Locality Sensitive Hashing (LSH) algorithm with minwise hashing, from $O(dKL)$ to merely $O(d + KL)$, where $d$ is…

Methodology · Statistics 2014-06-19 Anshumali Shrivastava , 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

Weighted minwise hashing (WMH) is one of the fundamental subroutine, required by many celebrated approximation algorithms, commonly adopted in industrial practice for large scale-search and learning. The resource bottleneck of the…

Data Structures and Algorithms · Computer Science 2016-02-29 Anshumali Shrivastava

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

Recently, the method of b-bit minwise hashing has been applied to large-scale linear learning and sublinear time near-neighbor search. The major drawback of minwise hashing is the expensive preprocessing cost, as the method requires…

Machine Learning · Computer Science 2012-08-08 Ping Li , Art Owen , Cun-Hui Zhang

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

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…

Machine Learning · Statistics 2023-06-14 Xiaoyun Li , Ping Li

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

We propose a scalable divergence estimation method based on hashing. Consider two continuous random variables $X$ and $Y$ whose densities have bounded support. We consider a particular locality sensitive random hashing, and consider the…

Information Theory · Computer Science 2018-01-03 Morteza Noshad , Alfred O. Hero

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

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

Hashing has been widely used for large-scale search due to its low storage cost and fast query speed. By using supervised information, supervised hashing can significantly outperform unsupervised hashing. Recently, discrete supervised…

Information Retrieval · Computer Science 2018-10-17 Qing-Yuan Jiang , Xue Cui , Wu-Jun Li

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 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…

Machine Learning · Statistics 2018-10-24 Edward Raff , Jared Sylvester , Charles Nicholas

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

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

This work focuses on representing very high-dimensional global image descriptors using very compact 64-1024 bit binary hashes for instance retrieval. We propose DeepHash: a hashing scheme based on deep networks. Key to making DeepHash work…

Computer Vision and Pattern Recognition · Computer Science 2016-02-17 Jie Lin , Olivier Morere , Vijay Chandrasekhar , Antoine Veillard , Hanlin Goh

In this paper, we first demonstrate that b-bit minwise hashing, whose estimators are positive definite kernels, can be naturally integrated with learning algorithms such as SVM and logistic regression. We adopt a simple scheme to transform…

Machine Learning · Statistics 2011-06-07 Ping Li , Anshumali Shrivastava , Joshua Moore , 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

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

Data Structures and Algorithms · Computer Science 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani
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