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In this paper, we study several critical issues which must be tackled before one can apply b-bit minwise hashing to the volumes of data often used industrial applications, especially in the context of search. 1. (b-bit) Minwise hashing…

Information Retrieval · Computer Science 2012-05-15 Ping Li , Anshumali Shrivastava , Arnd Christian Konig

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

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

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

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

In this paper, we propose to (seamlessly) integrate b-bit minwise hashing with linear SVM to substantially improve the training (and testing) efficiency using much smaller memory, with essentially no loss of accuracy. Theoretically, we…

Machine Learning · Computer Science 2015-03-19 Ping Li , Joshua Moore , Christian Konig

We generated a dataset of 200 GB with 10^9 features, to test our recent b-bit minwise hashing algorithms for training very large-scale logistic regression and SVM. The results confirm our prior work that, compared with the VW hashing…

Machine Learning · Computer Science 2011-08-16 Ping Li , Anshumali Shrivastava , Christian Konig

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

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

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

Large-scale regression problems where both the number of variables, $p$, and the number of observations, $n$, may be large and in the order of millions or more, are becoming increasingly more common. Typically the data are sparse: only a…

Statistics Theory · Mathematics 2018-02-27 Rajen D. Shah , Nicolai Meinshausen

Extracting informative image features and learning effective approximate hashing functions are two crucial steps in image retrieval . Conventional methods often study these two steps separately, e.g., learning hash functions from a…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Ruimao Zhang , Liang Lin , Rui Zhang , Wangmeng Zuo , Lei Zhang

Most existing approaches to hashing apply a single form of hash function, and an optimization process which is typically deeply coupled to this specific form. This tight coupling restricts the flexibility of the method to respond to the…

Machine Learning · Computer Science 2013-09-10 Guosheng Lin , Chunhua Shen , David Suter , Anton van den Hengel

Unsupervised hashing has attracted much attention for binary representation learning due to the requirement of economical storage and efficiency of binary codes. It aims to encode high-dimensional features in the Hamming space with…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Xiaoqin Wang , Chen Chen , Rushi Lan , Licheng Liu , Zhenbing Liu , Huiyu Zhou , Xiaonan Luo

A minimal perfect hash function (MPHF) maps a set of n keys to {1, ..., n} without collisions. Such functions find widespread application e.g. in bioinformatics and databases. In this paper we revisit PTHash - a construction technique…

Data Structures and Algorithms · Computer Science 2024-04-30 Stefan Hermann , Hans-Peter Lehmann , Giulio Ermanno Pibiri , Peter Sanders , Stefan Walzer

Hashing techniques are in great demand for a wide range of real-world applications such as image retrieval and network compression. Nevertheless, existing approaches could hardly guarantee a satisfactory performance with the extremely…

Information Retrieval · Computer Science 2020-02-13 Yadan Luo , Zi Huang , Yang Li , Fumin Shen , Yang Yang , Peng Cui

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

This paper explores network binarization, a radical form of quantization, compressing model weights to a single bit, specifically for Large Language Models (LLMs) compression. Due to previous binarization methods collapsing LLMs, we propose…

Machine Learning · Computer Science 2023-11-09 Yuzhang Shang , Zhihang Yuan , Qiang Wu , Zhen Dong

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

Mixed-precision quantization offers superior performance to fixed-precision quantization. It has been widely used in signal processing, communication systems, and machine learning. In mixed-precision quantization, bit allocation is…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Yiming Fang , Li Chen , Yunfei Chen , Weidong Wang , Changsheng You
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