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Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a general random variable which are themselves…

Probability · Mathematics 2012-04-04 Masaaki Fukasawa

We propose and study the cooperative MIMO architecture to enable and to improve the secrecy transmissions between clusters of mobile devices in the presence of an eavesdropper with certain location constraint. The cooperative MIMO system in…

Information Theory · Computer Science 2019-01-08 Zhong Zheng , Zygmunt Haas , Mario Kieburg

This paper investigates beamforming schemes designed to minimize the symbol error probability (SEP) for an authorized user while guaranteeing that the likelihood of an eavesdropper correctly recovering symbols remains below a predefined…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Nam Nguyen , An Vuong , Thuan Nguyen , Thinh Nguyen

We consider a Shannon cipher system for memoryless sources, in which distortion is allowed at the legitimate decoder. The source is compressed using a rate distortion code secured by a shared key, which satisfies a constraint on the…

Information Theory · Computer Science 2016-11-17 Nir Weinberger , Neri Merhav

The Expectation Maximization (EM) algorithm is of key importance for inference in latent variable models including mixture of regressors and experts, missing observations. This paper introduces a novel EM algorithm, called…

Machine Learning · Computer Science 2020-12-04 Gersende Fort , Eric Moulines , Hoi-To Wai

This paper has two main goals: (a) establish several statistical properties---consistency, asymptotic distributions, and convergence rates---of stationary solutions and values of a class of coupled nonconvex and nonsmoothempirical risk…

Statistics Theory · Mathematics 2019-10-08 Zhengling Qi , Ying Cui , Yufeng Liu , Jong-Shi Pang

The determination of the mean first passage time (MFPT) for a Brownian particle in a bounded 2-D domain containing small absorbing traps is a fundamental problem with biophysical applications. The average MFPT is the expected capture time…

Statistical Mechanics · Physics 2020-06-24 Sarafa A. Iyaniwura , Tony Wong , Colin B. Macdonald , Micheal J. Ward

We consider the problem of detecting a `bump' in the intensity of a Poisson process or in a density. We analyze two types of likelihood ratio based statistics which allow for exact finite sample inference and asymptotically optimal…

Methodology · Statistics 2014-02-26 Camilo Rivera , Guenther Walther

Passive light-source side channel in quantum key distribution (QKD) makes the quantum signals more distinguishable thus provides additional information about the quantum signal to an eavesdropper. The explicit eavesdropping strategies aimed…

Quantum Physics · Physics 2022-11-28 Danila V. Babukhin , Denis V. Sych

In this paper, we propose a MCMC algorithm based on elliptical slice sampling with the purpose to improve sampling efficiency. During sampling, a mixture distribution is fitted periodically to previous samples. The components of the mixture…

Computation · Statistics 2019-03-14 Song Li , Geoffrey K. F. Tso

This paper considers the problem of symbol detection in massive multiple-input multiple-output (MIMO) wireless communication systems. We consider hard-thresholding preceeded by two variants of the regularized least squares (RLS) decoder;…

Information Theory · Computer Science 2023-08-11 Ayed M. Alrashdi , Abla Kammoun , Ali H. Muqaibel , Tareq Y. Al-Naffouri

We deterministically crack the secure, statistical key exchange protocol based on feedback proposed by Pao-Lo Liu [ J. Lightwave Techology 27 (2009) pp. 5230-34]. The crack is ultimate and absolute because it works under idealized…

Quantum Physics · Physics 2011-01-04 Zoltan Gingl , Laszlo B. Kish

In this paper, we investigate an optimal control problem with terminal stochastic linear complementarity constraints (SLCC), and its discrete approximation using the relaxation, the sample average approximation (SAA) and the implicit Euler…

Optimization and Control · Mathematics 2022-08-17 Jianfeng Luo , Xiaojun Chen

A nonparametric distributed sequential algorithm for quick detection of spectral holes in a Cognitive Radio set up is proposed. Two or more local nodes make decisions and inform the fusion centre (FC) over a reporting Multiple Access…

Information Theory · Computer Science 2015-05-01 Sahasranand K. R. , Vinod Sharma

The paper addresses a sequential changepoint detection problem, assuming that the duration of change may be finite and unknown. This problem is of importance for many applications, e.g., for signal and image processing where signals appear…

Statistics Theory · Mathematics 2021-06-09 Alexander G. Tartakovsky , Nikita R. Berenkov , Alexei E. Kolessa , Igor V. Nikiforov

Security of quantum key distribution (QKD) protocols relies solely on quantum physics laws, namely, on the impossibility to distinguish between non-orthogonal quantum states with absolute certainty. Due to this, a potential eavesdropper…

Quantum Physics · Physics 2023-06-22 Valeria A. Pastushenko , Dmitry A. Kronberg

All incoherent as well as 2- and 3-qubit coherent eavesdropping strategies on the 6 state protocol of quantum cryptography are classified. For a disturbance of 1/6, the optimal incoherent eavesdropping strategy reduces to the universal…

Quantum Physics · Physics 2013-01-22 H. Bechmann-Pasquinucci , N. Gisin

Although empirical studies have confirmed the effectiveness of spectrum-based fault localization (SBFL) techniques, their performance may be degraded due to presence of some undesired circumstances such as the existence of coincidental…

Software Engineering · Computer Science 2018-07-06 Farid Feyzi , Saeed Parsa

I propose a new quantum key distribution protocol that uses the five qubit error correction code to detect the presence of eavesdropper reliably. The protocol turns any information theoretical attacks into a classical guess about the…

Quantum Physics · Physics 2025-12-16 Mehedi Hasan Rumi

Pilot contamination attack is an important kind of active eavesdropping activity conducted by a malicious user during channel training phase. In this paper, motivated by the fact that frequency asynchronism could introduce divergence of the…

Information Theory · Computer Science 2017-03-13 Weile Zhang , Hai Lin