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The MDS property (aka the $k$-out-of-$n$ property) requires that if a file is split into several symbols and subsequently encoded into $n$ coded symbols, each being stored in one storage node of a distributed storage system (DSS), then an…

Information Theory · Computer Science 2014-10-14 Son Hoang Dau , Wentu Song , Chau Yuen

Nearest neighbor search aims to obtain the samples in the database with the smallest distances from them to the queries, which is a basic task in a range of fields, including computer vision and data mining. Hashing is one of the most…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Xiao Luo , Haixin Wang , Daqing Wu , Chong Chen , Minghua Deng , Jianqiang Huang , Xian-Sheng Hua

Perceptual hashing is used to detect whether an input image is similar to a reference image with a variety of security applications. Recently, they have been shown to succumb to adversarial input attacks which make small imperceptible…

Cryptography and Security · Computer Science 2026-04-14 Hassan Asghar , Chenhan Zhang , Dali Kaafar

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

An extractor is a function E that is used to extract randomness. Given an imperfect random source X and a uniform seed Y, the output E(X,Y) is close to uniform. We study properties of such functions in the presence of prior quantum…

Quantum Physics · Physics 2008-02-04 Robert Koenig , Barbara M. Terhal

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

The Leftover Hash Lemma states that the output of a two-universal hash function applied to an input with sufficiently high entropy is almost uniformly random. In its standard formulation, the lemma refers to a notion of randomness that is…

Quantum Physics · Physics 2011-06-14 Marco Tomamichel , Christian Schaffner , Adam Smith , Renato Renner

We show that a randomly chosen linear map over a finite field gives a good hash function in the $\ell_\infty$ sense. More concretely, consider a set $S \subset \mathbb{F}_q^n$ and a randomly chosen linear map $L : \mathbb{F}_q^n \to…

Combinatorics · Mathematics 2024-08-07 Manik Dhar , Zeev Dvir

Hashing has been widely used for large-scale approximate nearest neighbor search because of its storage and search efficiency. Recent work has found that deep supervised hashing can significantly outperform non-deep supervised hashing in…

Machine Learning · Computer Science 2017-07-27 Qing-Yuan Jiang , Wu-Jun Li

Recently, $\varepsilon$-almost dual universal$_2$ hash functions has been proposed as a new and wider class of hash functions. Using this class of hash functions, several efficient hash functions were proposed. This paper evaluates the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi

We study the inherent space requirements of shared storage algorithms in asynchronous fault-prone systems. Previous works use codes to achieve a better storage cost than the well-known replication approach. However, a closer look reveals…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Alexander Spiegelman , Yuval Cassuto , Gregory Chockler , Idit Keidar

We establish fundamental mathematical limits on universal approximation theorem (UAT) system alignment by proving that catastrophic failures are an inescapable feature of any useful computational system. Our central thesis is that for any…

Machine Learning · Computer Science 2025-07-08 Jasper Yao

Current trends in technology, such as cloud computing, allow outsourcing the storage, backup, and archiving of data. This provides efficiency and flexibility, but also poses new risks for data security. It in particular became crucial to…

Cryptography and Security · Computer Science 2017-08-08 Christian Weinert , Denise Demirel , Martín Vigil , Matthias Geihs , Johannes Buchmann

To securely leverage the advantages of Cloud Computing, recently a lot of research has happened in the area of "Secure Query Processing over Encrypted Data". As a concrete use case, many encryption schemes have been proposed for securely…

Cryptography and Security · Computer Science 2018-01-16 Gagandeep Singh , Akshar Kaul , Sameep Mehta

Locality-sensitive hashing~[Indyk,Motwani'98] is a classical data structure for approximate nearest neighbor search. It allows, after a close to linear time preprocessing of the input dataset, to find an approximately nearest neighbor of…

Data Structures and Algorithms · Computer Science 2024-06-18 Michael Kapralov , Mikhail Makarov , Christian Sohler

Fully Homomorphic Encryption (FHE) is seeing increasing real-world deployment to protect data in use by allowing computation over encrypted data. However, the same malleability that enables homomorphic computations also raises integrity…

Cryptography and Security · Computer Science 2023-02-14 Alexander Viand , Christian Knabenhans , Anwar Hithnawi

Memory-Hard Functions (MHF) are a useful cryptographic primitive to build egalitarian proofs-of-work and to help protect low entropy secrets (e.g., user passwords) against brute-forces attacks. Ideally, we would like for a MHF to have the…

Cryptography and Security · Computer Science 2025-08-12 Jeremiah Blocki , Blake Holman

Machine learning on encrypted data has received a lot of attention thanks to recent breakthroughs in homomorphic encryption and secure multi-party computation. It allows outsourcing computation to untrusted servers without sacrificing…

Machine Learning · Computer Science 2021-09-24 Theo Ryffel , Edouard Dufour-Sans , Romain Gay , Francis Bach , David Pointcheval

The widespread prevalence of data breaches amplifies the importance of auditing storage systems. In this work, we initiate the study of auditable storage emulations, which provide the capability for an auditor to report the previously…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Vinicius V. Cogo , Alysson Bessani

Federated unlearning (FU) algorithms allow clients in federated settings to exercise their ''right to be forgotten'' by removing the influence of their data from a collaboratively trained model. Existing FU methods maintain data privacy by…

Cryptography and Security · Computer Science 2025-08-12 Samaneh Mohammadi , Vasileios Tsouvalas , Iraklis Symeonidis , Ali Balador , Tanir Ozcelebi , Francesco Flammini , Nirvana Meratnia