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Maximum likelihood estimators are proposed for the parameters and the densities in a semiparametric density ratio model in which the nonparametric baseline density is approximated by the Bernstein polynomial model. The EM algorithm is used…

统计方法学 · 统计学 2021-03-02 Zhong Guan

Training beam design for channel estimation with infinite-resolution and low-resolution phase shifters (PSs) in hybrid analog-digital milimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems is considered in this paper.…

信号处理 · 电气工程与系统科学 2025-06-03 Xiaochun Ge , Wenqian Shen , Chengwen Xing , Lian Zhao , Jianping An

We propose the novel numerical scheme for solution of the multidimensional Fokker-Planck equation, which is based on the Chebyshev interpolation and the spectral differentiation techniques as well as low rank tensor approximations, namely,…

数值分析 · 数学 2021-02-17 Andrei Chertkov , Ivan Oseledets

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

最优化与控制 · 数学 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

We consider continuous-time, finite-horizon, optimal quadratic control of semi-Markov jump linear systems (S-MJLS), and develop principled approximations through Markov-like representations for the holding-time distributions. We adopt a…

系统与控制 · 计算机科学 2017-11-07 Saeid Jafari , Ketan Savla

This paper proposes an identification algorithm for Single Input Single Output (SISO) Linear Time-Invariant (LTI) systems. In the noise-free setting, where the first $T$ Markov parameters can be precisely estimated, all Markov parameters…

最优化与控制 · 数学 2023-04-12 Jiayun Li , Yilin Mo

Interior eigenvalue problems for large-scale sparse Hermitian matrices are fundamental in computational science. We propose an adaptive polynomial filtering strategy based on Chebyshev expansion of a step function, integrated into a…

数值分析 · 数学 2026-04-02 Xiaofei Xu , Yuhui Ni , Shengguo Li , Juan Zhang

Impedance-matching networks affect power transfer from the radio frequency (RF) chains to the antennas. Their design impacts the signal to noise ratio (SNR) and the achievable rate. In this paper, we maximize the information-theoretic…

In this paper we present an active-set method for the solution of $\ell_1$-regularized convex quadratic optimization problems. It is derived by combining a proximal method of multipliers (PMM) strategy with a standard semismooth Newton…

最优化与控制 · 数学 2023-03-01 Spyridon Pougkakiotis , Jacek Gondzio , Dionysios S. Kalogerias

Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials science, etc. It is based on the maximum entropy principle and leads to thermodynamically…

数值分析 · 数学 2021-10-19 Shan Jiang , Haijun Yu

Antenna selection (AS) is regarded as one of the most prospective technologies to reduce hardware cost but keep relatively high spectral efficiency in multi-antenna systems. By selecting a subset of antennas to transceive messages, AS…

信号处理 · 电气工程与系统科学 2019-07-17 Chongjun Ouyang , Hongwen Yang

For trigonometric series and series of Chebyshev polynomials, we defined trigonometric Hermite-Pad\'e and Hermite-Jacobi approximations, linear and nonlinear Hermite-Chebyshev approximations. We established criterion of the existence and…

经典分析与常微分方程 · 数学 2025-07-22 A. P. Starovoitov , I. V. Kruglikov , T. M. Osnach

This paper introduces a new method for discretizing and solving integral equation formulations of Maxwell's equations which achieves spectral accuracy for smooth surfaces. The approach is based on a hybrid Nystr\"om-collocation method using…

计算物理 · 物理学 2021-09-15 Jin Hu , Emmanuel Garza , Constantine Sideris

One of the purposes in this paper is to provide a better understanding of the alternance property which occurs in Chebyshev polynomial approximation and piecewise polynomial approximation problems. In the first part of this paper, we…

数值分析 · 数学 2018-01-23 Jean-Pierre Crouzeix , Nadezda Sukhorukova , Julien Ugon

This paper presents an algorithm to simulate Gaussian random vectors whose precision matrix can be expressed as a polynomial of a sparse matrix. This situation arises in particular when simulating Gaussian Markov random fields obtained by…

统计方法学 · 统计学 2020-04-07 Mike Pereira , Nicolas Desassis

This paper presents for the first time a robust exact line-search method based on a full pseudospectral (PS) numerical scheme employing orthogonal polynomials. The proposed method takes on an adaptive search procedure and combines the…

最优化与控制 · 数学 2023-03-06 Kareem T. Elgindy

Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is able to provide good performance with the capability of…

信息论 · 计算机科学 2020-03-31 Hayoung Choi , Tao Jiang , Yuanming Shi , Xuan Liu , Khaled B. Letaief

In recent years, thanks to the advances in meta-materials, the concept of continuous-aperture MIMO (CAP-MIMO) is reinvestigated to achieve improved communication performance with limited antenna apertures. Unlike the classical MIMO composed…

信息论 · 计算机科学 2023-07-03 Zijian Zhang , Linglong Dai

Previous works show convergence of rational Chebyshev approximants to the Pad\'e approximant as the underlying domain of approximation shrinks to the origin. In the present work, the asymptotic error and interpolation properties of rational…

数值分析 · 数学 2024-10-08 Tobias Jawecki

The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic. Among all techniques that have been proposed to defeat this phenomenon, there…

数值分析 · 数学 2014-07-10 Stefano De Marchi , Francesco Dell'Accio , Mariarosa Mazza