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We consider a fading AWGN 2-user 2-hop network where the channel coefficients are independent and identically distributed (i.i.d.) drawn from a continuous distribution and vary over time. For a broad class of channel distributions, we…

Information Theory · Computer Science 2016-11-15 Sang-Woon Jeon , Chien-Yi Wang , Michael Gastpar

Development of experimental techniques for characterization of magnetic properties at high spatial resolution is essential for progress in miniaturization of magnetic devices, for example, in data storage media. Inelastic scattering of…

Materials Science · Physics 2014-04-02 Jan Rusz , Somnath Bhowmick

When the user channel experiences Nakagami-m fading, the coverage probability expressions are theoretically compared for the following cases: (i). The N interferers are independent $\eta$-$\mu$ random variables (RVs). (ii). The N…

Information Theory · Computer Science 2017-07-28 Suman Kumar , Sheetal Kalyani

The treatment of interfering motion contributions remains one of the key challenges in the domain of radar-based vital sign monitoring. Removal of the interference to extract the vital sign contributions is demanding due to overlapping…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Mikolaj Czerkawski , Christos Ilioudis , Carmine Clemente , Craig Michie , Ivan Andonovic , Christos Tachtatzis

Ensemble Conditional Variance Estimation (ECVE) is a novel sufficient dimension reduction (SDR) method in regressions with continuous response and predictors. ECVE applies to general non-additive error regression models. It operates under…

Methodology · Statistics 2021-03-01 Lukas Fertl , Efstathia Bura

Vector Error Correction Model (VECM) is a classic method to analyse cointegration relationships amongst multivariate non-stationary time series. In this paper, we focus on high dimensional setting and seek for sample-size-efficient…

Methodology · Statistics 2024-03-13 Parley R Yang , Alexander Y Shestopaloff

In this paper, we analyze the symbol error rate (SER) of space-time network coding (STNC) in a distributed cooperative network over independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$ fading channels. In this…

Information Theory · Computer Science 2012-07-05 Ang Yang , Zesong Fei , Nan Yang , Chengwen Xing , Jingming Kuang

This paper addresses the challenging problem of parameter estimation for multicomponent complex exponential signals, commonly known as sums of cisoids. Traditional approaches that estimate individual component parameters face significant…

Information Theory · Computer Science 2025-12-01 Huiguang Zhang

Fuzzy (wave) dark matter (FDM), the dynamical model underlying an ultralight bosonic dark matter species, produces a rich set of non-gravitational signatures that distinguishes it markedly from the phenomenologically related warm (particle)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-22 Tim Zimmermann , David J. E. Marsh , Keir K. Rogers , Hans A. Winther , Sijing Shen

For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous…

Analysis of PDEs · Mathematics 2017-03-08 Hongyu Liu , Yuliang Wang , Shuhui Zhong

Although variational autoencoders (VAE) are successfully used to obtain meaningful low-dimensional representations for high-dimensional data, the characterization of critical points of the loss function for general observation models is not…

Machine Learning · Computer Science 2021-10-12 Robert Sicks , Ralf Korn , Stefanie Schwaar

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

Both the first-order signal statistics (e.g. the outage probability) and the second-order signal statistics (e.g. the average level crossing rate, LCR, and the average fade duration, AFD) are important design criteria and performance…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov

The classical EMD algorithm has been used extensively in the literature to decompose signals that contain nonlinear waves. However when a signal contain two or more frequencies that are close to one another the decomposition might fail. In…

Numerical Analysis · Mathematics 2011-06-06 Mayer Humi

Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Variational Autoencoders by reframing the inference problem…

Machine Learning · Computer Science 2025-06-11 María Martínez-García , Grace Villacrés , David Mitchell , Pablo M. Olmos

An exponentially weighted moving model (EWMM) for a vector time series fits a new data model each time period, based on an exponentially fading loss function on past observed data. The well known and widely used exponentially weighted…

Computation · Statistics 2024-04-25 Eric Luxenberg , Stephen Boyd

Gaussian copula has been employed to evaluate the outage performance of Fluid Antenna Systems (FAS), with the covariance matrix reflecting the dependence among multivariate normal random variables (RVs). While prior studies approximate this…

Information Theory · Computer Science 2025-12-02 Rui Xu , Yinghui Ye , Xiaoli Chu , Guangyue Lu , Farshad Rostami Ghadi , Kai-Kit Wong

We consider the problem in Electrical Impedance Tomography (EIT) of identifying one or multiple inclusions in a background-conducting body $\Omega\subset\mathbb{R}^2$, from the knowledge of a finite number of electrostatic measurements…

Numerical Analysis · Mathematics 2025-02-07 Romina Gaburro , Patrick Healy , Shraddha Naidu , Clifford Nolan

Excess noise is a major obstacle to high-performance continuous-variable quantum key distribution (CVQKD), which is mainly derived from the amplitude attenuation and phase fluctuation of quantum signals caused by channel instability. Here,…

Quantum Physics · Physics 2022-07-22 Kexin Liang , Geng Chai , Zhengwen Cao , Qing Wang , Lei Wang , Jinye Peng

A variety of methods have been proposed to try to explain how deep neural networks make their decisions. Key to those approaches is the need to sample the pixel space efficiently in order to derive importance maps. However, it has been…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Thomas Fel , Melanie Ducoffe , David Vigouroux , Remi Cadene , Mikael Capelle , Claire Nicodeme , Thomas Serre