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We propose a new Statistical Complexity Measure (SCM) to qualify edge maps without Ground Truth (GT) knowledge. The measure is the product of two indices, an \emph{Equilibrium} index $\mathcal{E}$ obtained by projecting the edge map into a…

计算机视觉与模式识别 · 计算机科学 2014-02-11 Javier Gimenez , Jorge Martinez , Ana Georgina Flesia

We develop an estimator for the high-dimensional covariance matrix of a locally stationary process with a smoothly varying trend and use this statistic to derive consistent predictors in non-stationary time series. In contrast to the…

统计方法学 · 统计学 2020-01-08 Holger Dette , Weichi Wu

Compositional observations are an increasingly prevalent data source in spatial statistics. Analysis of such data is typically done on log-ratio transformations or via Dirichlet regression. However, these approaches often make unnecessarily…

统计方法学 · 统计学 2025-05-27 Michael R. Schwob , Mevin B. Hooten , Nicholas M. Calzada , Timothy H. Keitt

The spatial cross-correlation function xi_C recently introduced by Roukema et al. is applied to the equilateral toroidal topology of the universe. Several CMB maps based on the WMAP 5yr data are analysed and a small likelihood in favour of…

天体物理学 · 物理学 2009-06-23 Ralf Aurich

State space models (SSMs) are a flexible approach to modeling complex time series. However, inference in SSMs is often computationally prohibitive for long time series. Stochastic gradient MCMC (SGMCMC) is a popular method for scalable…

机器学习 · 统计学 2019-07-11 Christopher Aicher , Yi-An Ma , Nicholas J. Foti , Emily B. Fox

Estimating a high-dimensional sparse covariance matrix from a limited number of samples is a fundamental problem in contemporary data analysis. Most proposals to date, however, are not robust to outliers or heavy tails. Towards bridging…

统计理论 · 数学 2020-08-04 John Goes , Gilad Lerman , Boaz Nadler

This paper addresses the asymptotic performance of popular spatial regression estimators of the linear effect of an exposure on an outcome under ``spatial confounding" -- the presence of an unmeasured spatially-structured variable…

统计方法学 · 统计学 2024-09-19 Brian Gilbert , Elizabeth L. Ogburn , Abhirup Datta

Determining the relevant spatial covariates is one of the most important problems in the analysis of point patterns. Parametric methods may lead to incorrect conclusions, especially when the model of interactions between points is wrong.…

统计方法学 · 统计学 2022-10-12 Jiří Dvořák , Tomáš Mrkvička

Grey-scale local algorithms have been suggested as a fast way of estimating surface area from grey-scale digital images. Their asymptotic mean has already been described. In this paper, the asymptotic behaviour of the variance is studied in…

概率论 · 数学 2016-02-24 Anne Marie Svane

We study a linear random coefficient model where slope parameters may be correlated with some continuous covariates. Such a model specification may occur in empirical research, for instance, when quantifying the effect of a continuous…

计量经济学 · 经济学 2019-11-19 Samuele Centorrino , Aman Ullah , Jing Xue

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Sample correlation matrices are employed ubiquitously in statistics. However, quite surprisingly, little is known about their asymptotic spectral properties for high-dimensional data, particularly beyond the case of "null models" for which…

统计理论 · 数学 2019-03-13 David Morales-Jimenez , Iain M. Johnstone , Matthew R. McKay , Jeha Yang

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

统计方法学 · 统计学 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

统计计算 · 统计学 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

Localized statistical channel modeling (LSCM) is crucial for effective performance evaluation in digital twin-assisted network optimization. Solely relying on the multi-beam reference signal receiving power (RSRP), LSCM aims to model the…

信号处理 · 电气工程与系统科学 2025-09-25 Xinyu Qin , Ye Xue , Qi Yan , Shutao Zhang , Bingsheng Peng , Tsung-Hui Chang

Inference via simultaneous confidence band is studied for stationary covariance function of dense functional data. A two-stage estimation procedure is proposed based on spline approximation, the first stage involving estimation of all the…

统计方法学 · 统计学 2019-10-31 Jiangyan Wang , Guanqun Cao , Li Wang , Lijian Yang

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

机器学习 · 计算机科学 2026-05-21 Zheng Zhai , Xiaohui Li

The use of correlation matrices to evaluate the number of uncorrelated stirrer positions of reverberation chamber has widespread applications in electromagnetic compatibility. We present a comparative study of recent techniques based on…

数据分析、统计与概率 · 物理学 2014-04-28 Gabriele Gradoni , Valter Mariani Primiani , Franco Moglie

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

统计方法学 · 统计学 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

This paper introduces a stochastic simulator for seismic uncertainty quantification, which is crucial for performance-based earthquake engineering. The proposed simulator extends the recently developed dimensionality reduction-based…

地球物理 · 物理学 2024-09-27 Jungho Kim , Ziqi Wang
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