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Missing data are ubiquitous in real world applications and, if not adequately handled, may lead to the loss of information and biased findings in downstream analysis. Particularly, high-dimensional incomplete data with a moderate sample…

机器学习 · 计算机科学 2022-12-23 Zongyu Dai , Zhiqi Bu , Qi Long

A common task in inverse problems and imaging is finding a solution that is sparse, in the sense that most of its components vanish. In the framework of compressed sensing, general results guaranteeing exact recovery have been proven. In…

数值分析 · 数学 2021-04-29 Monica Pragliola , Daniela Calvetti , Erkki Somersalo

When outcomes are missing for reasons beyond an investigator's control, there are two different ways to adjust a parameter estimate for covariates that may be related both to the outcome and to missingness. One approach is to model the…

统计方法学 · 统计学 2008-12-18 Joseph D. Y. Kang , Joseph L. Schafer

Missing data arise in most applied settings and are ubiquitous in electronic health records (EHR). When data are missing not at random (MNAR) with respect to measured covariates, sensitivity analyses are often considered. These post-hoc…

统计方法学 · 统计学 2023-07-11 Alexander W. Levis , Rajarshi Mukherjee , Rui Wang , Heidi Fischer , Sebastien Haneuse

Imbalanced learning (IL), i.e., learning unbiased models from class-imbalanced data, is a challenging problem. Typical IL methods including resampling and reweighting were designed based on some heuristic assumptions. They often suffer from…

机器学习 · 计算机科学 2020-10-20 Zhining Liu , Pengfei Wei , Jing Jiang , Wei Cao , Jiang Bian , Yi Chang

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

计算物理 · 物理学 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

Inverse analysis, such as model calibration, often suffers from a lack of informative data in complex real-world scenarios. The standard remedy, designing new experimental setups, is often costly and time-consuming, while readily available…

计算工程、金融与科学 · 计算机科学 2026-01-16 Lea J. Haeusel , Jonas Nitzler , Lea J. Köglmeier , Wolfgang A. Wall

Gaussian Mixture models (GMMs) are a powerful tool for clustering, classification and density estimation when clustering structures are embedded in the data. The presence of missing values can largely impact the GMMs estimation process,…

机器学习 · 统计学 2020-06-05 Alessio Serafini , Thomas Brendan Murphy , Luca Scrucca

In this paper we study covariance estimation with missing data. We consider missing data mechanisms that can be independent of the data, or have a time varying dependency. Additionally, observed variables may have arbitrary (non uniform)…

统计理论 · 数学 2021-06-17 Eduardo Pavez , Antonio Ortega

Using a hierarchical construction, we develop methods for a wide and flexible class of models by taking a fully parametric approach to generalized linear mixed models with complex covariance dependence. The Laplace approximation is used to…

统计方法学 · 统计学 2024-07-31 Jay M. Ver Hoef , Eryn Blagg , Michael Dumelle , Philip M. Dixon , Dale L. Zimmerman , Paul Conn

Data imputation is a critical step in data pre-processing, particularly for datasets with missing or unreliable values. This study introduces a novel quantum-inspired imputation framework evaluated on the UCI Diabetes dataset, which…

量子物理 · 物理学 2025-05-13 Nishikanta Mohanty , Bikash K. Behera , Badshah Mukherjee , Christopher Ferrie

This paper develops a unified estimation framework, the Maximum Ideal Likelihood Estimation (MILE), for general parametric models with latent variables. Unlike traditional approaches relying on the marginal likelihood of the observed data,…

统计理论 · 数学 2025-10-08 Yizhou Cai , Ting Fung Ma

For data with high-dimensional covariates but small to moderate sample sizes, the analysis of single datasets often generates unsatisfactory results. The integrative analysis of multiple independent datasets provides an effective way of…

统计方法学 · 统计学 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Machine learning with missing data has been approached in two different ways, including feature imputation where missing feature values are estimated based on observed values, and label prediction where downstream labels are learned…

机器学习 · 计算机科学 2020-11-02 Jiaxuan You , Xiaobai Ma , Daisy Yi Ding , Mykel Kochenderfer , Jure Leskovec

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

数据分析、统计与概率 · 物理学 2017-11-30 Amir Shahmoradi

Time series with missing data are signals encountered in important settings for machine learning. Some of the most successful prior approaches for modeling such time series are based on recurrent neural networks that transform the input and…

机器学习 · 计算机科学 2021-04-20 Alberto García-Durán , Robert West

Missing data occur in many types of studies and typically complicate the analysis. Multiple imputation, either using joint modelling or the more flexible fully conditional specification approach, are popular and work well in standard…

统计方法学 · 统计学 2020-09-02 Nicole S. Erler , Dimitris Rizopoulos , Emmanuel M. E. H. Lesaffre

The Bayesian approach to inverse problems provides a rigorous framework for the incorporation and quantification of uncertainties in measurements, parameters and models. We are interested in designing numerical methods which are robust…

数值分析 · 数学 2020-06-29 Claudia Schillings , Björn Sprungk , Philipp Wacker

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

应用统计 · 统计学 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main

We present a general framework, the coupled compound Poisson factorization (CCPF), to capture the missing-data mechanism in extremely sparse data sets by coupling a hierarchical Poisson factorization with an arbitrary data-generating model.…

机器学习 · 计算机科学 2017-01-10 Mehmet E. Basbug , Barbara E. Engelhardt