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Latent or unobserved phenomena pose a significant difficulty in data analysis as they induce complicated and confounding dependencies among a collection of observed variables. Factor analysis is a prominent multivariate statistical modeling…

统计方法学 · 统计学 2020-06-22 Armeen Taeb , Venkat Chandrasekaran

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

统计方法学 · 统计学 2025-12-09 Sijie Zheng

Subsampling methods have been recently proposed to speed up least squares estimation in large scale settings. However, these algorithms are typically not robust to outliers or corruptions in the observed covariates. The concept of influence…

机器学习 · 统计学 2014-06-20 Brian McWilliams , Gabriel Krummenacher , Mario Lucic , Joachim M. Buhmann

Principal component analysis (PCA) frequently suffers from the disturbance of outliers and thus a spectrum of robust extensions and variations of PCA have been developed. However, existing extensions of PCA treat all samples equally even…

机器学习 · 计算机科学 2021-03-23 Rui Zhang , Hongyuan Zhang , Xuelong Li

In many applications of computer vision it is important to accurately estimate the trajectory of an object over time by fusing data from a number of sources, of which 2D and 3D imagery is only one. In this paper, we show how to use a deep…

计算机视觉与模式识别 · 计算机科学 2021-12-06 Fan Jiang , Andrew Marmon , Ildebrando De Courten , Marc Rasi , Frank Dellaert

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

计量经济学 · 经济学 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

Studying time-dependent behavior in lasers is analytically difficult due to the saturating non-linearity inherent in the Maxwell-Bloch equations and numerically demanding because of the computational resources needed to discretize both time…

光学 · 物理学 2015-12-23 O. Malik , K. G. Makris , H. E. Türeci

Photoacoustic imaging (PAI) is a promising medical imaging modality providing the spatial resolution of ultrasound (US) imaging and the contrast of pure optical imaging. For linear-array PAI, a beamformer has to be used as the…

医学物理 · 物理学 2018-02-15 Moein Mozaffarzadeh , Yan Yan , Mohammad Mehrmohammadi , Bahador Makkiabadi

Microplastics (MPs) are ubiquitous in all ecosystems, affecting wildlife and, ultimately, human health. The complexity of natural samples plus the unspecificity of their treatments to isolate polymers renders the characterization of…

仪器与探测器 · 物理学 2025-04-01 Adrian Lopez-Rosales , Jose Andrade , Borja Ferreiro , Soledad Muniategui

Adaptive algorithms based on sample matrix inversion belong to an important class of algorithms used in radar target detection to overcome prior uncertainty of interference covariance. Sample matrix inversion problem is generally ill…

信号处理 · 电气工程与系统科学 2020-10-15 Boris N. Oreshkin , Peter A. Bakulev

Factor and sparse models are two widely used methods to impose a low-dimensional structure in high-dimensions. However, they are seemingly mutually exclusive. We propose a lifting method that combines the merits of these two models in a…

计量经济学 · 经济学 2022-09-07 Jianqing Fan , Ricardo Masini , Marcelo C. Medeiros

Optimizing laser and plasma parameters is crucial for enhancing accelerated proton energy in laser-driven proton acceleration with finite laser energy for applications such as cancer therapy. Tight focusing plays a significant role in…

等离子体物理 · 物理学 2026-04-10 Guanqi Qiu , Qianyi Ma , Deji Liu , Dongchi Cai , Zheng Gong , Yinren Shou , Jinqing Yu , Xueqing Yan

Factor models are a class of powerful statistical models that have been widely used to deal with dependent measurements that arise frequently from various applications from genomics and neuroscience to economics and finance. As data are…

统计方法学 · 统计学 2018-08-14 Jianqing Fan , Kaizheng Wang , Yiqiao Zhong , Ziwei Zhu

This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting operator is introduced on interface edges to ensure the…

数值分析 · 数学 2022-02-23 Haifeng Ji , Feng Wang , Jinru Chen , Zhilin Li

The concepts of sparsity, and regularised estimation, have proven useful in many high-dimensional statistical applications. Dynamic factor models (DFMs) provide a parsimonious approach to modelling high-dimensional time series, however, it…

统计方法学 · 统计学 2023-03-22 Luke Mosley , Tak-Shing T. Chan , Alex Gibberd

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

With the recent development of high-end LiDARs, more and more systems are able to continuously map the environment while moving and producing spatially redundant information. However, none of the previous approaches were able to effectively…

机器人学 · 计算机科学 2017-09-19 Chanoh Park , Soohwan Kim , Peyman Moghadam , Clinton Fookes , Sridha Sridharan

As estimators of location parameters, univariate trimmed means are well known for their robustness and efficiency. They can serve as robust alternatives to the sample mean while possessing high efficiencies at normal as well as heavy-tailed…

统计理论 · 数学 2007-06-13 Yijun Zuo

Mass spectrometry (MS) is used widely in biomolecular structural analysis and is particularly dominant in the study of proteins. Despite its considerable power, state-of-the-art protein MS frequently suffers from limited reliability of…

This paper considers the problem of robustly estimating the parameters of a heavy-tailed multivariate distribution when the covariance matrix is known to have the structure of a low-rank matrix plus a diagonal matrix as considered in factor…

统计计算 · 统计学 2019-09-30 Rui Zhou , Junyan Liu , Sandeep Kumar , Daniel P. Palomar