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Analysts are often confronted with censoring, wherein some variables are not observed at their true value, but rather at a value that is known to fall above or below that truth. While much attention has been given to the analysis of…

统计方法学 · 统计学 2024-05-31 Sarah C. Lotspeich , Kyle F. Grosser , Tanya P. Garcia

Non-parametric inference for functional data over two-dimensional domains entails additional computational and statistical challenges, compared to the one-dimensional case. Separability of the covariance is commonly assumed to address these…

统计方法学 · 统计学 2021-03-19 Tomas Masak , Tomas Rubin , Victor Panaretos

This paper proposes and tests the first-ever reduced basis warm-start iterative method for the parametrized linear systems, exemplified by those discretizing the parametric partial differential equations. Traditional iterative methods are…

数值分析 · 数学 2024-01-08 Shijin Hou , Yanlai Chen , Yinhua Xia

Structural and practical parameter non-identifiability issues are common when mathematical models are used to interpret data. Such issues motivate model reparameterisation and reduction methods. Here, we consider Invariant Image…

This is an overview of the R package iprior, which implements a unified methodology for fitting parametric and nonparametric regression models, including additive models, multilevel models, and models with one or more functional covariates.…

统计方法学 · 统计学 2019-12-04 Haziq Jamil , Wicher Bergsma

This study proposes a debiasing method for smooth nonparametric estimators. While machine learning techniques such as random forests and neural networks have demonstrated strong predictive performance, their theoretical properties remain…

统计方法学 · 统计学 2025-03-19 Masahiro Kato

In this paper, we consider the problem of estimating the covariance kernel and its eigenvalues and eigenfunctions from sparse, irregularly observed, noise corrupted and (possibly) correlated functional data. We present a method based on…

统计方法学 · 统计学 2008-07-09 Debashis Paul , Jie Peng

Mediation analysis is one of the most widely used statistical techniques in the social, behavioral, and medical sciences. Mediation models allow to study how an independent variable affects a dependent variable indirectly through one or…

统计计算 · 统计学 2022-08-18 Andreas Alfons , Nüfer Y. Ateş , Patrick J. F. Groenen

Iterative learning procedures are ubiquitous in machine learning and modern statistics. Regularision is typically required to prevent inflating the expected loss of a procedure in later iterations via the propagation of noise inherent in…

机器学习 · 统计学 2025-03-24 Eric Ziebell , Ratmir Miftachov , Bernhard Stankewitz , Laura Hucker

We consider high-dimensional generalized linear models when the covariates are contaminated by measurement error. Estimates from errors-in-variables regression models are well-known to be biased in traditional low-dimensional settings if…

统计计算 · 统计学 2020-01-06 Michael Byrd , Monnie McGee

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

统计方法学 · 统计学 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

Implicit Neural Representations (INRs) have revolutionized signal processing and computer vision by modeling signals as continuous, differentiable functions parameterized by neural networks. However, INRs are prone to the spectral bias…

计算机视觉与模式识别 · 计算机科学 2026-04-29 Ali Haider , Muhammad Salman Ali , Maryam Qamar , Tahir Khalil , Soo Ye Kim , Jihyong Oh , Enzo Tartaglione , Sung-Ho Bae

Multi-view data have been routinely collected in various fields of science and engineering. A general problem is to study the predictive association between multivariate responses and multi-view predictor sets, all of which can be of high…

统计方法学 · 统计学 2018-07-30 Gen Li , Xiaokang Liu , Kun Chen

There has been a lot of work fitting Ising models to multivariate binary data in order to understand the conditional dependency relationships between the variables. However, additional covariates are frequently recorded together with the…

机器学习 · 统计学 2012-09-28 Jie Cheng , Elizaveta Levina , Pei Wang , Ji Zhu

Nonparametric maximum likelihood estimation is intended to infer the unknown density distribution while making as few assumptions as possible. To alleviate the over parameterization in nonparametric data fitting, smoothing assumptions are…

机器学习 · 统计学 2021-04-21 YunPeng Li , ZhaoHui Ye

Regularization has become a primary tool for developing reliable estimators of the covariance matrix in high-dimensional settings. To curb the curse of dimensionality, numerous methods assume that the population covariance (or inverse…

统计方法学 · 统计学 2018-02-19 Jacob Bien

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Skewness plays a relevant role in several multivariate statistical techniques. Sometimes it is used to recover data features, as in cluster analysis. In other circumstances, skewness impairs the performances of statistical methods, as in…

统计计算 · 统计学 2019-03-26 Cinzia Franceschini , Nicola Loperfido

This paper introduces the R package slm which stands for Stationary Linear Models. The package contains a set of statistical procedures for linear regression in the general context where the error process is strictly stationary with short…

应用统计 · 统计学 2021-08-31 Emmanuel Caron , Jérôme Dedecker , Bertrand Michel

'Optimal cutpoints' for binary classification tasks are often established by testing which cutpoint yields the best discrimination, for example the Youden index, in a specific sample. This results in 'optimal' cutpoints that are highly…

统计计算 · 统计学 2020-02-24 Christian Thiele , Gerrit Hirschfeld