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Random sampling has become a critical tool in solving massive matrix problems. For linear regression, a small, manageable set of data rows can be randomly selected to approximate a tall, skinny data matrix, improving processing time…

Data Structures and Algorithms · Computer Science 2014-08-22 Michael B. Cohen , Yin Tat Lee , Cameron Musco , Christopher Musco , Richard Peng , Aaron Sidford

We apply ideas from the cluster method to q-count the permutations of a multiset according to the number of occurrences of certain generalized patterns, as defined by Babson and Steingrimsson. In particular, we consider those patterns with…

Combinatorics · Mathematics 2009-06-01 Andrew M. Baxter

In this paper, we propose a reversible data hiding method in the spatial domain for compressed grayscale images. The proposed method embeds secret bits into a compressed thumbnail of the original image by using a novel interpolation method…

Multimedia · Computer Science 2013-05-20 Andrew Rudder , Wayne Goodridge , Shareeda Mohammed

When working with joint collections of confidential data from multiple sources, e.g., in cloud-based multi-party computation scenarios, the ownership relation between data providers and their inputs itself is confidential information.…

Cryptography and Security · Computer Science 2020-02-14 Kilian Becher , Thorsten Strufe

Matching entries of correlated shuffled databases have practical applications ranging from privacy to biology. In this paper, motivated by synchronization errors in the sampling of time-indexed databases, matching of random databases under…

Information Theory · Computer Science 2022-05-10 Serhat Bakirtas , Elza Erkip

We propose a diagrammatic notation for matrix differentiation. Our new notation enables us to derive formulas for matrix differentiation more easily than the usual matrix (or index) notation. We demonstrate the effectiveness of our notation…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Kenji Nakahira

Perfect sorting by reversals, a problem originating in computational genomics, is the process of sorting a signed permutation to either the identity or to the reversed identity permutation, by a sequence of reversals that do not break any…

Discrete Mathematics · Computer Science 2012-01-05 Mathilde Bouvel , Cedric Chauve , Marni Mishna , Dominique Rossin

A method of lossless data hiding in images using integer wavelet transform and histogram shifting for gray scale images is proposed. The method shifts part of the histogram, to create space for embedding the watermark information bits. The…

Multimedia · Computer Science 2010-04-13 S. Kurshid Jinna , L. Ganesan

As one of the most important basic operations, matrix multiplication computation (MMC) has varieties of applications in the scientific and engineering community such as linear regression, k-nearest neighbor classification and biometric…

Cryptography and Security · Computer Science 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

With the increasing demands for privacy protection, many privacy-preserving machine learning systems were proposed in recent years. However, most of them cannot be put into production due to their slow training and inference speed caused by…

Cryptography and Security · Computer Science 2020-08-19 Fei Zheng

LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a previous block. They were used to encode ordinal trees and to…

Data Structures and Algorithms · Computer Science 2010-09-30 Jérémy Barbay , Johannes Fischer

An algorithm for extracting identity submatrices of small rank and pivotal units from large and sparse matrices is proposed. The procedure has already been satisfactorily applied for solving the label switching problem in Bayesian mixture…

Computation · Statistics 2016-11-04 Leonardo Egidi , Roberta Pappadà , Francesco Pauli , Nicola Torelli

A novel permutation decoding method for Reed-Muller codes is presented. The complexity and the error correction performance of the suggested permutation decoding approach are similar to that of the recursive lists decoder. It is…

Information Theory · Computer Science 2019-10-28 Mikhail Kamenev , Yulia Kameneva , Oleg Kurmaev , Alexey Maevskiy

With the fast development of natural language processing, recent advances in information hiding focus on covertly embedding secret information into texts. These algorithms either modify a given cover text or directly generate a text…

Cryptography and Security · Computer Science 2022-08-04 Xiaoyan Zheng , Yurun Fang , Hanzhou Wu

A well-known problem in numerical ecology is how to recombine presence-absence matrices without altering row and column totals. A few solutions have been proposed, but all of them present some issues in terms of statistical robustness (i.e.…

Statistics Theory · Mathematics 2014-06-13 Giovanni Strona , Domenico Nappo , Francesco Boccacci , Simone Fattorini , Jesus San-Miguel-Ayanz

Database indexes facilitate data retrieval and benefit broad applications in real-world systems. Recently, a new family of index, named learned index, is proposed to learn hidden yet useful data distribution and incorporate such information…

Databases · Computer Science 2021-01-05 Yaliang Li , Daoyuan Chen , Bolin Ding , Kai Zeng , Jingren Zhou

We propose improved methods to identify stock groups using the correlation matrix of stock price changes. By filtering out the marketwide effect and the random noise, we construct the correlation matrix of stock groups in which nontrivial…

Physics and Society · Physics 2008-12-02 Dong-Hee Kim , Hawoong Jeong

This document brings together several articles devoted to manual encryption and introduces new algorithms and ciphers: a permutation algorithm, Spirale (a one-time-pad cipher), a solution to the problem of the ordered route of a table,…

Cryptography and Security · Computer Science 2019-04-02 Philippe Allard

It was recently observed in [1], that in index coding, learning the coding matrix used by the server can pose privacy concerns: curious clients can extract information about the requests and side information of other clients. One approach…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic storage devices, in managing the lifetime of electronic storage…

Information Theory · Computer Science 2022-09-07 Ahmed Hareedy , Beyza Dabak , Robert Calderbank