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The linear complexity of a sequence $s$ is one of the measures of its predictability. It represents the smallest degree of a linear recursion which the sequence satisfies. There are several algorithms to find the linear complexity of a…

Cryptography and Security · Computer Science 2019-12-30 Yeow Meng Chee , Johan Chrisnata , Tuvi Etzion , Han Mao Kiah

In small area estimation, it is a smart strategy to rely on data measured over time. However, linear mixed models struggle to properly capture time dependencies when the number of lags is large. Given the lack of published studies…

Cognitive radios process their sensed information collectively in order to opportunistically identify and access under-utilized spectrum segments (spectrum holes). Due to the transient and rapidly-varying nature of the spectrum occupancy,…

Information Theory · Computer Science 2012-06-08 Ali Tajer , Rui M. Castro , Xiaodong Wang

Bayesian analysis of LISA data sets based on Markov chain Monte Carlo methods has been shown to be a challenging problem, in part due to the complicated structure of the likelihood function consisting of several isolated local maxima that…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Miquel Trias , Alberto Vecchio , John Veitch

This paper is concerned with the following problem: given an upper bound of the state-space dimension and lag of a linear time-invariant system, design a sequence of inputs so that the system dynamics can be recovered from the resulting…

Optimization and Control · Mathematics 2024-07-18 M. Kanat Camlibel , Henk J. van Waarde , Paolo Rapisarda

Cooperative spectrum sensing is a robust strategy that enhances the detection probability of primary licensed users. However, a large number of detectors reporting to a fusion center for a final decision causes significant delay and also…

Information Theory · Computer Science 2015-05-28 Laila Hesham , Ahmed Sultan , Mohammed Nafie

Latent variable models with hidden binary units appear in various applications. Learning such models, in particular in the presence of noise, is a challenging computational problem. In this paper we propose a novel spectral approach to this…

Machine Learning · Statistics 2018-02-28 Ariel Jaffe , Roi Weiss , Shai Carmi , Yuval Kluger , Boaz Nadler

Advocating for a sustainable, resilient and human-centric industry, the three pillars of Industry 5.0 call for an increased understanding of industrial processes and manufacturing systems, as well as their energy sustainability. One of the…

Machine Learning · Computer Science 2023-10-05 Romain Delabeye , Martin Ghienne , Olivia Penas , Jean-Luc Dion

This paper studies end-to-end latency minimization for a multi-band radar sensing and deep neural network (DNN) inference pipeline. Unlike conventional stage-wise designs that treat radar sensing and DNN inference as two sequential stages,…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Yanan Du , Sai Xu , Kezhi Wang , Yansha Deng

The problem of finding aperiodic low auto-correlation binary sequences (LABS) presents a significant computational challenge, particularly as the sequence length increases. Such sequences have important applications in communication…

Data Structures and Algorithms · Computer Science 2025-05-27 Blaž Pšeničnik , Rene Mlinarič , Janez Brest , Borko Bošković

We give a risk-averse solution to the problem of estimating the reliability of a parallel-series system. We adopt a beta-binomial model for components reliabilities, and assume that the total sample size for the experience is fixed. The…

Applications · Statistics 2016-11-15 Zohra Benkamra , Mekki Terbeche , Mounir Tlemcani

Multivariate time series data that capture the temporal evolution of interconnected systems are ubiquitous in diverse areas. Understanding the complex relationships and potential dependencies among co-observed variables is crucial for the…

Methodology · Statistics 2023-11-03 Zhaolu Liu , Robert L. Peach , Felix Laumann , Sara Vallejo Mengod , Mauricio Barahona

We consider multi-antenna cooperative spectrum sensing in cognitive radio networks, when there may be multiple primary users. A noise-uncertainty-free detector that is optimal in the low signal to noise ratio regime is analyzed in such a…

Information Theory · Computer Science 2012-03-29 Lu Wei , Prathapasinghe Dharmawansa , Olav Tirkkonen

In optical wireless scattering communication, received signal in each symbol interval is captured by a photomultiplier tube (PMT) and then sampled through very short but finite interval sampling. The resulting samples form a signal vector…

Information Theory · Computer Science 2016-12-14 Difan Zou , Chen Gong , Zhengyuan Xu

In many supervised learning applications, the response consists of both continuous and binary outcomes. Studies have shown that jointly modeling such mixed-type responses can substantially improve predictive performance compared to separate…

Methodology · Statistics 2026-03-13 Yu Wang , Ran Jin , Lulu Kang

We investigate the problem of spectrum sensing in cognitive radios (CRs) when the receivers are equipped with a large array of antennas. We propose and derive three detectors based on the concept of linear spectral statistics (LSS) in the…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Amirhossein Taherpour , Abbas Taherpour , Tamer Khattab

We compare two strategies of multi-detector detection of compact binary inspiral signals, namely, the coincidence and the coherent. For simplicity we consider here two identical detectors having the same power spectral density of noise,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Himan Mukhopadhyay , Norichica Sago , Hideyuki Tagoshi , Sanjeev Dhurandhar , Hirotaka Takahashi , Nobuyuki Kanda

Penalized likelihood models are widely used to simultaneously select variables and estimate model parameters. However, the existence of weak signals can lead to inaccurate variable selection, biased parameter estimation, and invalid…

Methodology · Statistics 2022-12-13 Yuexia Zhang , Peibei Shi , Zhongyi Zhu , Linbo Wang , Annie Qu

Results on the spectral behavior of random matrices as the dimension increases are applied to the problem of detecting the number of sources impinging on an array of sensors. A common strategy to solve this problem is to estimate the…

Statistics Theory · Mathematics 2022-12-09 J. W. Silverstein , P. L. Combettes

This paper studies finite-sample set-membership identification for discrete-time bilinear systems under bounded symmetric log-concave disturbances. Compared with existing finite-sample results for linear systems and related analyses under…

Machine Learning · Computer Science 2026-03-24 Hongyu Yi , Chenbei Lu , Jing Yu
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