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The paper presents a multiplicative bias reduction estimator for nonparametric regression. The approach consists to apply a multiplicative bias correction to an oversmooth pilot estimator. In Burr et al. [2010], this method has been tested…

Statistics Theory · Mathematics 2011-03-02 Nicolas Hengartner , Eric Matzner-Løber , Laurent Rouvière , Thomas Burr

We consider high-dimensional multivariate linear regression models, where the joint distribution of covariates and response variables is a multivariate normal distribution with a bandable covariance matrix. The main goal of this paper is to…

Statistics Theory · Mathematics 2021-03-12 Kwangmin Lee , Kyoungjae Lee , Jaeyong Lee

Millisecond and binary pulsars are the most stable natural frequency standards which admits to introduce modified versions of universal and ephemeris time scales based correspondingly on the intrinsic rotation of pulsar and on its orbital…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Sergei M. Kopeikin , Vladimir A. Potapov

We address the problem of estimating the spherical-harmonic power spectrum of a statistically isotropic scalar signal from noise-contaminated data on a region of the unit sphere. Three different methods of spectral estimation are…

Astrophysics · Physics 2009-11-13 F. A. Dahlen , Frederik J Simons

This work presents a comprehensive understanding of the estimation of a planted low-rank signal from a general spiked tensor model near the computational threshold. Relying on standard tools from the theory of large random matrices, we…

Machine Learning · Statistics 2025-01-15 Hugo Lebeau , Florent Chatelain , Romain Couillet

We present results of an extensive suite of numerical simulations that probe square-tiled microwave absorber performance as a function of material properties, frequency, geometry, and unit cell size. The work, which probes both specular…

Instrumentation and Methods for Astrophysics · Physics 2025-11-10 Gaganpreet Singh , Rustam Balafendiev , Mahesh Singh Bist , Thomas J. L. J. Gascard , Gagandeep Kaur , Vid Primožič , Jon E. Gudmundsson

Remotely measuring subsurface water currents from imagery of the wave field has become a much-used technique. We study the biases and errors in such measurements due to spectral leakage, and suggest mitigating procedures. Deviations between…

Atmospheric and Oceanic Physics · Physics 2023-11-03 Stefan Weichert , Benjamin K. Smeltzer , Simen Å. Ellingsen

This paper analyzes the statistical properties of the signal-to-noise ratio (SNR) at the output of the Capon's minimum variance distortionless response (MVDR) beamformers when operating over impulsive noises. Particularly, we consider the…

Information Theory · Computer Science 2016-05-17 Khalil Elkhalil , Abla Kammoun , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

In this paper we propose a method for automatic local time adap- tation of the spectrogram of an audio signal, based on its decomposition within a Gabor multi-frame. The sparsity of the analyses within each individual frame is evaluated…

Sound · Computer Science 2011-09-29 M. Liuni , A. Röbel , M. Romito , X. Rodet

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

We provide optimal lower bounds for two well-known parameter estimation (also known as statistical estimation) tasks in high dimensions with approximate differential privacy. First, we prove that for any $\alpha \le O(1)$, estimating the…

Statistics Theory · Mathematics 2024-01-05 Shyam Narayanan

We consider the problem of channel estimation for millimeter wave (mmWave) systems, where, to minimize the hardware complexity and power consumption, an analog transmit beamforming and receive combining structure with only one radio…

Information Theory · Computer Science 2017-05-09 Xingjian Li , Jun Fang , Hongbin Li , Pu Wang

Let $\mathbf{B}_n=\mathbf {S}_n(\mathbf {S}_n+\alpha_n\mathbf {T}_N)^{-1}$, where $\mathbf {S}_n$ and $\mathbf {T}_N$ are two independent sample covariance matrices with dimension $p$ and sample sizes $n$ and $N$, respectively. This is the…

Probability · Mathematics 2015-07-30 Zhidong Bai , Jiang Hu , Guangming Pan , Wang Zhou

In this paper, we study a security problem on a simple wiretap network, consisting of a source node S, a destination node D, and an intermediate node R. The intermediate node connects the source and the destination nodes via a set of…

Information Theory · Computer Science 2016-01-18 Fan Cheng , Vincent Y. F. Tan

We develop efficient binary (i.e., 1-bit) and multi-bit coding schemes for estimating the scale parameter of $\alpha$-stable distributions. The work is motivated by the recent work on one scan 1-bit compressed sensing (sparse signal…

Methodology · Statistics 2016-02-02 Ping Li

Context. Multi-element phased-array radio telescopes use digital beamforming to widen their field-of-view with numerous tied-array beams (TABs). These beams share bandpass variations and radio frequency interference (RFI). Yet, most pulsar…

Instrumentation and Methods for Astrophysics · Physics 2026-03-16 Dirk Kuiper , Cees Bassa , Ziggy Pleunis , Jason Hessels

This paper addresses the problem of expressing a signal as a sum of frequency components (sinusoids) wherein each sinusoid may exhibit abrupt changes in its amplitude and/or phase. The Fourier transform of a narrow-band signal, with a…

Machine Learning · Computer Science 2013-02-27 Yin Ding , Ivan W. Selesnick

Compact spectrometers based on disordered planar waveguides exhibit a rather high resolution with a relatively small footprint as compared to conventional spectrometers. This is achieved by multiple scattering of light which - if properly…

The problem of bias, meaning over- or underestimation, of the component perpendicular to the line-of-sight, Bperp, in vector magnetic field maps is discussed. Previous works on this topic have illustrated that the problem exists; here we…

Solar and Stellar Astrophysics · Physics 2022-09-28 K. D. Leka , Eric L. Wagner , Ana Belén Griñón-Marín , Véronique Bommier , Richard Higgins

Stellar oscillations appear all across the Hertzsprung-Russell diagram. Recent theoretical studies support their existence also in the atmospheres of M dwarfs. These studies predict for them short periodicities ranging from 20~min to 3~h.…