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Binary sequences with low autocorrelations are important in communication engineering and in statistical mechanics as groundstates of the Bernasconi-model. Computer searches are the main tool to construct such sequences. Due to the…

Condensed Matter · Physics 2009-10-28 S. Mertens

We suggest a method for generation of random binary sequences with prescribed correlation properties. It is based on a kind of modification of the widely used convolution method of constructing continuous random processes. Apart from the…

Disordered Systems and Neural Networks · Physics 2009-11-13 F. M. Izrailev , A. A. Krokhin , N. M. Makarov , O. V. Usatenko

Binary machines are a generalization of Feedback Shift Registers (FSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the register stages is required. In this paper, we present an algorithm…

Cryptography and Security · Computer Science 2011-05-24 Elena Dubrova

Certain applications require the use of signals that combine both the capability to operate with low signal-to-noise ratios and the ability to support multiple users without interference. In the case where many users have very different…

Information Theory · Computer Science 2021-03-10 Patricio G. Donato , Matias N. Hadad , Marcos A. Funes

Finding sets of binary sequences with low auto- and cross-correlation properties is a hard combinatorial optimization problem with numerous applications, including multiple-input-multiple-output (MIMO) radar and global navigation satellite…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Alan Yang , Tara Mina , Grace Gao

Unimodular/Phase only sequence having impulse like aperiodic auto-correlation function plays a central role in the applications of RADAR, SONAR, Cryptography, and Wireless (CDMA) Communication Systems. In this paper, we propose a fast…

Signal Processing · Electrical Eng. & Systems 2020-07-16 Surya Prakash Sankuru , Prabhu Babu

Constant modulus sequence having lower side-lobe levels in its auto-correlation function plays an important role in the applications like SONAR, RADAR and digital communication systems. In this paper, we consider the problem of minimizing…

Signal Processing · Electrical Eng. & Systems 2020-01-20 Surya Prakash Sankuru , Prabhu Babu

Conditional language models are predominantly trained with maximum likelihood estimation (MLE), giving probability mass to sparsely observed target sequences. While MLE trained models assign high probability to plausible sequences given the…

Computation and Language · Computer Science 2022-10-04 Yao Zhao , Misha Khalman , Rishabh Joshi , Shashi Narayan , Mohammad Saleh , Peter J. Liu

Recently, neural models have been proposed for headline generation by learning to map documents to headlines with recurrent neural networks. Nevertheless, as traditional neural network utilizes maximum likelihood estimation for parameter…

Computation and Language · Computer Science 2016-10-11 Ayana , Shiqi Shen , Yu Zhao , Zhiyuan Liu , Maosong Sun

Binary sequences with optimal autocorrelation play important roles in radar, communication, and cryptography. Finding new binary sequences with optimal autocorrelation has been an interesting research topic in sequence design.…

Information Theory · Computer Science 2017-07-26 Wei Su , Yang Yang , Cuiling Fan

The extent to which a sequence of finite length differs from a shifted version of itself is measured by its aperiodic autocorrelations. Of particular interest are sequences whose entries are 1 or -1, called binary sequences, and sequences…

Information Theory · Computer Science 2016-02-12 Kai-Uwe Schmidt

Registers with Non-Linear Update (RNLUs) are a generalization of Non-Linear Feedback Shift Registers (NLFSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the stages is required. In this…

Information Theory · Computer Science 2013-06-25 Nan Li , Elena Dubrova

The Low Autocorrelation Binary Sequence problem has applications in telecommunications, is of theoretical interest to physicists, and has inspired many optimisation researchers. Metaheuristics for the problem have progressed greatly in…

Artificial Intelligence · Computer Science 2013-07-24 S. D. Prestwich

The autocorrelation and the linear complexity of a key stream sequence in a stream cipher are important cryptographic properties. Many sequences with these good properties have interleaved structure, three classes of binary sequences of…

Cryptography and Security · Computer Science 2018-01-29 Shidong Zhang , Tongjiang Yan

Binary descriptors of image patches provide processing speed advantages and require less storage than methods that encode the patch appearance with a vector of real numbers. We provide evidence that, despite its simplicity, a stochastic…

Computer Vision and Pattern Recognition · Computer Science 2016-08-07 Nenad Markuš , Igor S. Pandžić , Jörgen Ahlberg

Many natural language processing applications use language models to generate text. These models are typically trained to predict the next word in a sequence, given the previous words and some context such as an image. However, at test time…

Machine Learning · Computer Science 2016-05-10 Marc'Aurelio Ranzato , Sumit Chopra , Michael Auli , Wojciech Zaremba

In this paper, the construction of finite-length binary sequences whose nonlinear complexity is not less than half of the length is investigated. By characterizing the structure of the sequences, an algorithm is proposed to generate all…

Information Theory · Computer Science 2023-12-27 Sicheng Liang , Xiangyong Zeng , Zibi Xiao , Zhimin Sun

Low-discrepancy sequences have seen widespread adoption in computer graphics thanks to their superior convergence rates. Since rendering integrals often comprise products of lower-dimensional integrals, recent work has focused on developing…

Graphics · Computer Science 2025-05-28 Abdalla G. M. Ahmed , Matt Pharr , Victor Ostromoukhov , Hui Huang

It is shown that a random binary process with impulse-like autocorrelation can be generated by randomizing the length of symbols occurring in a random Bernoulli process. Such randomization is achieved by random (or judiciously designed…

Signal Processing · Electrical Eng. & Systems 2020-06-30 W. J. Szajnowski

A novel search method for large polarization kernels is proposed. The algorithm produces a kernel with given partial distances by employing the depth-first search combined with the computation of coset leaders weight tables and sufficient…

Information Theory · Computer Science 2023-10-13 Grigorii Trofimiuk