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We study the problem of approximating Hamming distance in sublinear time under property-preserving hashing (PPH), where only hashed representations of inputs are available. Building on the threshold evaluation framework of Fleischhacker,…

Computational Complexity · Computer Science 2025-03-25 Dongfang Zhao

Similarity-based image hashing represents crucial technique for visual data storage reduction and expedited image search. Conventional hashing schemes typically feed hand-crafted features into hash functions, which separates the procedures…

Computer Vision and Pattern Recognition · Computer Science 2016-08-15 Yadong Mu , Zhu 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

Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most…

Data Structures and Algorithms · Computer Science 2026-02-06 Hans-Peter Lehmann , Thomas Mueller , Rasmus Pagh , Giulio Ermanno Pibiri , Peter Sanders , Sebastiano Vigna , Stefan Walzer

Fast item ranking is an important task in recommender systems. In previous works, graph-based Approximate Nearest Neighbor (ANN) approaches have demonstrated good performance on item ranking tasks with generic searching/matching measures…

Information Retrieval · Computer Science 2022-11-02 Khoa Doan , Shulong Tan , Weijie Zhao , Ping Li

Techniques to learn hash codes which can store and retrieve large dimensional multimedia data efficiently have attracted broad research interests in the recent years. With rapid explosion of newly emerged concepts and online data, existing…

Computer Vision and Pattern Recognition · Computer Science 2017-03-02 Shubham Pachori , Ameya Deshpande , Shanmuganathan Raman

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

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

Previous work on tabulation hashing by Patrascu and Thorup from STOC'11 on simple tabulation and from SODA'13 on twisted tabulation offered Chernoff-style concentration bounds on hash based sums, e.g., the number of balls/keys hashing to a…

Data Structures and Algorithms · Computer Science 2020-08-11 Anders Aamand , Jakob B. T. Knudsen , Mathias B. T. Knudsen , Peter M. R. Rasmussen , Mikkel Thorup

A central problem in machine learning and pattern recognition is the process of recognizing the most important features. In this paper, we provide a new feature selection method (DRPT) that consists of first removing the irrelevant features…

Machine Learning · Computer Science 2021-05-19 Majid Afshar , Hamid Usefi

Feature selection is a dimensionality reduction technique that selects a subset of representative features from high dimensional data by eliminating irrelevant and redundant features. Recently, feature selection combined with sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Siwei Feng , Marco F. Duarte

Property-preserving hash functions allow for compressing long inputs $x_0$ and $x_1$ into short hashes $h(x_0)$ and $h(x_1)$ in a manner that allows for computing a predicate $P(x_0, x_1)$ given only the two hash values without having…

Cryptography and Security · Computer Science 2021-06-14 Nils Fleischhacker , Kasper Green Larsen , and Mark Simkin

Hashing methods have been widely used for efficient similarity retrieval on large scale image database. Traditional hashing methods learn hash functions to generate binary codes from hand-crafted features, which achieve limited accuracy…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Jian Zhang , Yuxin Peng

Binary vector embeddings enable fast nearest neighbor retrieval in large databases of high-dimensional objects, and play an important role in many practical applications, such as image and video retrieval. We study the problem of learning…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Fatih Cakir , Kun He , Sarah Adel Bargal , Stan Sclaroff

Modern authentication systems store hashed values of passwords of users using cryptographic hash functions. Therefore, to crack a password an attacker needs to guess a hash function input that is mapped to the hashed value, as opposed to…

Cryptography and Security · Computer Science 2019-11-28 Yair Yona , Suhas Diggavi

Online string matching is a computational problem involving the search for patterns or substrings in a large text dataset, with the pattern and text being processed sequentially, without prior access to the entire text. Its relevance stems…

Data Structures and Algorithms · Computer Science 2023-10-25 Matthew N. Palmer , Simone Faro , Stefano Scafiti

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

With the advantage of low storage cost and high efficiency, hashing learning has received much attention in the domain of Big Data. In this paper, we propose a novel unsupervised hashing learning method to cope with this open problem to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Jun Yu , Xiao-Jun Wu

Unsupervised hashing has received extensive research focus on the past decade, which typically aims at preserving a predefined metric (i.e. Euclidean metric) in the Hamming space. To this end, the encoding functions of the existing hashing…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Hong Liu

The algorithmic tasks of computing the Hamming distance between a given pattern of length $m$ and each location in a text of length $n$ is one of the most fundamental algorithmic tasks in string algorithms. Unfortunately, there is evidence…

Data Structures and Algorithms · Computer Science 2015-12-15 Tsvi Kopelowitz , Ely Porat