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A generic modular array architecture is proposed, featuring uniform/non-uniform subarray layouts that allows for flexible deployment. The bistatic near-field sensing system is considered, where the target is located in the near-field of the…

信号处理 · 电气工程与系统科学 2024-05-31 Chunwei Meng , Dingyou Ma , Xu Chen , Zhiyong Feng , Yuanwei Liu

In the framework of censored data modeling, the classical linear regression model that assumes normally distributed random errors has received increasing attention in recent years, mainly for mathematical and computational convenience.…

统计方法学 · 统计学 2020-11-17 Mehrdad Naderi , Elham Mirfarah , Matthew Bernhardt , Ding-Geng Chen

Sparse Bayesian Learning (SBL) models are extensively used in signal processing and machine learning for promoting sparsity through hierarchical priors. The hyperparameters in SBL models are crucial for the model's performance, but they are…

机器学习 · 计算机科学 2024-01-08 Feng Yu , Lixin Shen , Guohui Song

A new robust correlation estimator based on the spatial sign covariance matrix (SSCM) is proposed. We derive its asymptotic distribution and influence function at elliptical distributions. Finite sample and robustness properties are studied…

统计方法学 · 统计学 2022-04-12 Alexander Dürre , Daniel Vogel , Roland Fried

Semi-supervised semantic segmentation requires the model to effectively propagate the label information from limited annotated images to unlabeled ones. A challenge for such a per-pixel prediction task is the large intra-class variation,…

计算机视觉与模式识别 · 计算机科学 2022-10-11 Hai-Ming Xu , Lingqiao Liu , Qiuchen Bian , Zhen Yang

Performance bounds for parameter estimation play a crucial role in statistical signal processing theory and applications. Two widely recognized bounds are the Cram\'{e}r-Rao bound (CRB) in the non-Bayesian framework, and the Bayesian CRB…

信息论 · 计算机科学 2023-11-27 Ori Aharon , Joseph Tabrikian

We derive an optimal shrinkage sample covariance matrix (SCM) estimator which is suitable for high dimensional problems and when sampling from an unspecified elliptically symmetric distribution. Specifically, we derive the optimal (oracle)…

统计方法学 · 统计学 2017-07-03 Esa Ollila

This paper investigates the asymptotic behavior of the deterministic and stochastic Cram\'er-Rao Bounds (CRB) for semi-blind channel estimation in massive multiple-input multiple-output (MIMO) systems. We derive and analyze mathematically…

信号处理 · 电气工程与系统科学 2025-07-15 Xue Zhang , Abla Kammoun , Mohamed-Slim Alouini

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

机器学习 · 统计学 2015-03-19 Song Song

The accurate and efficient simulation of Partial Differential Equations (PDEs) in and around arbitrarily defined geometries is critical for many application domains. Immersed boundary methods (IBMs) alleviate the usually laborious and…

For an orthogonal frequency-division multiplexing (OFDM) system over a doubly selective (DS) channel, a large number of pilot subcarriers are needed to estimate the numerous channel parameters, resulting in low spectral efficiency. In this…

信号处理 · 电气工程与系统科学 2020-05-05 Qibo Qin , Lin Gui , Bo Gong , Xiang Ren , Wen Chen

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

应用统计 · 统计学 2017-04-17 Guillaume Bouleux , Rémy Boyer

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

计算工程、金融与科学 · 计算机科学 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

In the last two decades, several methods based on sequential Monte Carlo (SMC) and Markov chain Monte Carlo (MCMC) have been proposed for Bayesian identification of stochastic non-linear state-space models (SSMs). It is well known that the…

应用统计 · 统计学 2013-07-25 Aditya Tulsyan , Biao Huang , R. Bhushan Gopaluni , J. Fraser Forbes

General elliptic equations with spatially discontinuous diffusion coefficients may be used as a simplified model for subsurface flow in heterogeneous or fractured porous media. In such a model, data sparsity and measurement errors are often…

数值分析 · 数学 2022-08-29 Andrea Barth , Robin Merkle

In modern scientific applications, large volumes of covariate data are readily available, while outcome labels are costly, sparse, and often subject to distribution shift. This asymmetry has spurred interest in semi-supervised (SS)…

统计理论 · 数学 2026-05-12 Lorenzo Testa , Qi Xu , Jing Lei , Kathryn Roeder

In this paper we present, using the arithmetic of elliptic curves over finite fields, an algorithm for the efficient generation of a sequence of uniform pseudorandom vectors in high dimensions, that simulates a sample of a sequence of…

概率论 · 数学 2022-10-11 Chung Pang Mok

In fitting a mixture of linear regression models, normal assumption is traditionally used to model the error and then regression parameters are estimated by the maximum likelihood estimators (MLE). This procedure is not valid if the normal…

统计方法学 · 统计学 2018-11-06 Yanyuan Ma , Shaoli Wang , Lin Xu , Weixin Yao

The spherical cap discrepancy is a widely used measure for how uniformly a sample of points on the sphere is distributed. Being hard to compute, this discrepancy measure is typically replaced by some lower or upper estimates when designing…

组合数学 · 数学 2020-12-21 Holger Heitsch , René Henrion

Sufficient dimension reduction (SDR) is a popular tool in regression analysis, which replaces the original predictors with a minimal set of their linear combinations. However, the estimated linear combinations generally contain all original…

统计计算 · 统计学 2020-12-16 Lei Yan , Xin Chen