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We consider the problem of sparse estimation in a factor analysis model. A traditional estimation procedure in use is the following two-step approach: the model is estimated by maximum likelihood method and then a rotation technique is…

Methodology · Statistics 2013-03-18 Kei Hirose , Michio Yamamoto

We present the framework of slowly varying regression under sparsity, allowing sparse regression models to exhibit slow and sparse variations. The problem of parameter estimation is formulated as a mixed-integer optimization problem. We…

Machine Learning · Computer Science 2023-11-14 Dimitris Bertsimas , Vassilis Digalakis , Michael Linghzi Li , Omar Skali Lami

Large scale deep learning provides a tremendous opportunity to improve the quality of content recommendation systems by employing both wider and deeper models, but this comes at great infrastructural cost and carbon footprint in modern data…

Machine Learning · Computer Science 2020-10-22 Mao Ye , Dhruv Choudhary , Jiecao Yu , Ellie Wen , Zeliang Chen , Jiyan Yang , Jongsoo Park , Qiang Liu , Arun Kejariwal

In this work we consider numerical efficiency and convergence rates for solvers of non-convex multi-penalty formulations when reconstructing sparse signals from noisy linear measurements. We extend an existing approach, based on reduction…

Information Theory · Computer Science 2021-01-15 Zeljko Kereta , Johannes Maly , Valeriya Naumova

We consider a novel Bayesian approach to estimation, uncertainty quantification, and variable selection for a high-dimensional linear regression model under sparsity. The number of predictors can be nearly exponentially large relative to…

Methodology · Statistics 2025-02-28 Samhita Pal , Subhashis Ghoshal

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

The pervasive use of prevalent cohort studies on disease duration, increasingly calls for appropriate methodologies to account for the biases that invariably accompany samples formed by such data. It is well-known, for example, that…

Statistics Theory · Mathematics 2013-11-07 Ashkan Ertefaie , Masoud Asgharian , David Stephens

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

Methodology · Statistics 2011-08-03 Xiaoru Wu , Zhiliang Ying

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

Statistics Theory · Mathematics 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

We propose a sequential learning policy for noisy discrete global optimization and ranking and selection (R\&S) problems with high dimensional sparse belief functions, where there are hundreds or even thousands of features, but only a small…

Machine Learning · Statistics 2015-03-20 Yan Li , Han Liu , Warren Powell

Approximate inference via information projection has been recently introduced as a general-purpose approach for efficient probabilistic inference given sparse variables. This manuscript goes beyond classical sparsity by proposing efficient…

Machine Learning · Statistics 2016-07-13 Rajiv Khanna , Joydeep Ghosh , Russell Poldrack , Oluwasanmi Koyejo

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

An inference procedure is proposed to provide consistent estimators of parameters in a modal regression model with a covariate prone to measurement error. A score-based diagnostic tool exploiting parametric bootstrap is developed to assess…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang

Missing data is frequently encountered in many areas of statistics. Propensity score weighting is a popular method for handling missing data. The propensity score method employs a response propensity model, but correct specification of the…

Methodology · Statistics 2024-03-28 Hengfang Wang , Jae Kwang Kim , Jeongseop Han , Youngjo Lee

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

Methodology · Statistics 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

Recent methods for estimating sparse undirected graphs for real-valued data in high dimensional problems rely heavily on the assumption of normality. We show how to use a semiparametric Gaussian copula--or "nonparanormal"--for high…

Machine Learning · Statistics 2009-03-05 Han Liu , John Lafferty , Larry Wasserman

Imputing missing values is an important preprocessing step in data analysis, but the literature offers little guidance on how to choose between different imputation models. This letter suggests adopting the imputation model that generates a…

Methodology · Statistics 2021-07-13 Moritz Marbach

This paper tackles the challenge of parameter calibration in stochastic models, particularly in scenarios where the likelihood function is unavailable in an analytical form. We introduce a gradient-based simulated parameter estimation…

Machine Learning · Statistics 2025-03-25 Zehao Li , Yijie Peng

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…

Methodology · Statistics 2008-07-09 Debashis Paul , Jie Peng

This work considers methods for imposing sparsity in Bayesian regression with applications in nonlinear system identification. We first review automatic relevance determination (ARD) and analytically demonstrate the need to additional…

Machine Learning · Statistics 2021-02-24 Samuel H. Rudy , Themistoklis P. Sapsis