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An efficient algorithm for computing lower bounds on the global linear complexity of nonlinearly filtered PN-sequences is presented. The technique here developed is based exclusively on the realization of bit wise logic operations, which…

Cryptography and Security · Computer Science 2015-03-17 A. Fúster-Sabater , P. Caballero-Gil

In this paper, we study the problem of designing efficient convolutional neural network architectures with the interest in eliminating the redundancy in convolution kernels. In addition to structured sparse kernels, low-rank kernels and the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Guotian Xie , Jingdong Wang , Ting Zhang , Jianhuang Lai , Richang Hong , Guo-Jun Qi

The idea that compressed sensing may be used to encrypt information from unauthorised receivers has already been envisioned, but never explored in depth since its security may seem compromised by the linearity of its encoding process. In…

Information Theory · Computer Science 2015-03-02 Valerio Cambareri , Mauro Mangia , Fabio Pareschi , Riccardo Rovatti , Gianluca Setti

Pseudo-random number generators (PRNGs) are essential in a wide range of applications, from cryptography to statistical simulations and optimization algorithms. While uniform randomness is crucial for security-critical areas like…

Cryptography and Security · Computer Science 2025-01-03 Jianan Wu , Ahmet Yusuf Salim , Eslam Elmitwalli , Selçuk Köse , Zeljko Ignjatovic

This paper is dedicated to lossless data compression with probability estimation using neural networks. First, we propose a probability estimation architecture based on a chain of neural predictors, so that each unit of the chain is defined…

Information Theory · Computer Science 2026-04-20 Yuriy Kim , Evgeny Belyaev

Coreset of a given dataset and loss function is usually a small weighed set that approximates this loss for every query from a given set of queries. Coresets have shown to be very useful in many applications. However, coresets construction…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Gilad Eini , Ben Mussay , Dan Feldman , Margarita Osadchy

We develop a new algorithm to compute determinants of all possible Hankel matrices made up from a given finite length sequence over a finite field. Our algorithm fits within the dynamic programming paradigm by exploiting new recursive…

Cryptography and Security · Computer Science 2022-01-04 Claude Gravel , Daniel Panario , Bastien Rigault

This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2023-04-21 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

The linear complexity and the $k$-error linear complexity of a sequence have been used as important security measures for key stream sequence strength in linear feedback shift register design. By studying the linear complexity of binary…

Cryptography and Security · Computer Science 2011-08-31 Jianqin Zhou , Wanquan Liu

To recover a low rank structure from a noisy matrix, truncated singular value decomposition has been extensively used and studied. Recent studies suggested that the signal can be better estimated by shrinking the singular values. We pursue…

Methodology · Statistics 2014-11-25 Julie Josse , Sylvain Sardy

Modern computer scaling trends in pursuit of larger component counts and power efficiency have, unfortunately, lead to less reliable hardware and consequently soft errors escaping into application data ("silent data corruptions").…

Software Engineering · Computer Science 2016-07-05 Vishal Chandra Sharma , Ganesh Gopalakrishnan , Sriram Krishnamoorthy

Given a string $S$ of $n$ integers in $[0,\sigma)$, a range minimum query RMQ$(i, j)$ asks for the index of the smallest integer in $S[i \dots j]$. It is well known that the problem can be solved with a succinct data structure of size $2n +…

Data Structures and Algorithms · Computer Science 2019-05-30 Paweł Gawrychowski , Seungbum Jo , Shay Mozes , Oren Weimann

Under the emerging network coding paradigm, intermediate nodes in the network are allowed not only to store and forward packets but also to process and mix different data flows. We propose a low-complexity cryptographic scheme that exploits…

Cryptography and Security · Computer Science 2016-11-17 Joao P. Vilela , Luisa Lima , Joao Barros

Many applications rely on time-intensive matrix operations, such as factorization, which can be sped up significantly for large sparse matrices by interpreting the matrix as a sparse graph and computing a node ordering that minimizes the…

Data Structures and Algorithms · Computer Science 2024-04-25 Lara Ost , Christian Schulz , Darren Strash

Compression aims to reduce the size of an input, while maintaining its relevant properties. For multi-parameter persistent homology, compression is a necessary step in any computational pipeline, since standard constructions lead to large…

Algebraic Topology · Mathematics 2022-08-17 Ulderico Fugacci , Michael Kerber , Alexander Rolle

We give a generalized definition of stretch that simplifies the efficient construction of low-stretch embeddings suitable for graph algorithms. The generalization, based on discounting highly stretched edges by taking their $p$-th power for…

Data Structures and Algorithms · Computer Science 2014-02-07 Michael B. Cohen , Gary L. Miller , Jakub W. Pachocki , Richard Peng , Shen Chen Xu

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

Information Theory · Computer Science 2012-06-19 Joel Veness , Marcus Hutter

In recent years, cyber attacks have become increasingly sophisticated and persistent. Detection and investigation based on the provenance graph can effectively mitigate cyber intrusion. However, in the long time span of defenses, the sheer…

Cryptography and Security · Computer Science 2024-11-27 Zhiyang Cheng , Zizhen Zhu , Haoran Dang , Hai Wan , Xibin Zhao

A least squares semi-supervised local clustering algorithm based on the idea of compressed sensing is proposed to extract clusters from a graph with known adjacency matrix. The algorithm is based on a two-stage approach similar to the one…

Machine Learning · Computer Science 2022-11-01 Ming-Jun Lai , Zhaiming Shen

We propose a new prediction method for multivariate linear regression problems where the number of features is less than the sample size but the number of outcomes is extremely large. Many popular procedures, such as penalized regression…

Methodology · Statistics 2021-04-20 Yihe Wang , Sihai Dave Zhao