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Complex computer codes are widely used in science and engineering to model physical phenomena. Furthermore, it is common that they have a large number of input parameters. Global sensitivity analysis aims to identify those which have the…

Statistics Theory · Mathematics 2013-07-09 Loic Le Gratiet , Claire Cannamela , Bertrand Iooss

Generalized additive index models (GAIMs) offer a flexible semiparametric framework for capturing complex data relationships, balancing the interpretability of parametric models with the flexibility of nonparametric approaches. However,…

Methodology · Statistics 2026-05-29 Ziyu Peng , Linglingzhi Zhu , Yao Xie

Many practical techniques for probabilistic inference require a sequence of distributions that interpolate between a tractable distribution and an intractable distribution of interest. Usually, the sequences used are simple, e.g., based on…

Artificial Intelligence · Computer Science 2015-09-11 Andreas Stuhlmüller , Robert X. D. Hawkins , N. Siddharth , Noah D. Goodman

We propose a new fiducial Markov Chain Monte Carlo (MCMC) method for fitting parametric Gaussian models. We utilize the Cayley transform to decompose the parametric covariance matrix, which in turn allows us to formulate a general data…

Methodology · Statistics 2026-02-24 Hank Flury , Jan Hannig , Richard Smith

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

Missing data in spatiotemporal systems presents a significant challenge for modern applications, ranging from environmental monitoring to urban traffic management. The integrity of spatiotemporal data often deteriorates due to hardware…

Machine Learning · Computer Science 2025-06-10 Wenying He , Jieling Huang , Junhua Gu , Ji Zhang , Yude Bai

Fine-grained domain generalization (FGDG) is a more challenging task than traditional DG tasks due to its small inter-class variations and relatively large intra-class disparities. When domain distribution changes, the vulnerability of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Wenlong Yu , Dongyue Chen , Qilong Wang , Qinghua Hu

Due to the cost or interference of measurement, we need to control measurement system. Assuming that each variable can be measured sequentially, there exists optimal policy choosing next measurement for the former observations. Though…

Machine Learning · Computer Science 2022-04-11 Seongwook Yoon , Jaehyun Kim , Heejeong Lim , Sanghoon Sull

In traditional logistic regression models, the link function is often assumed to be linear and continuous in predictors. Here, we consider a threshold model that all continuous features are discretized into ordinal levels, which further…

Methodology · Statistics 2022-02-18 Yinan Lin , Wen Zhou , Zhi Geng , Gexin Xiao , Jianxin Yin

The existence of generalized steady states (GSSs) in nonlinear mechanical systems under moderate temporally aperiodic forcing has only been shown recently. Here we derive systematic expansions for such GSSs and construct a numerical…

Dynamical Systems · Mathematics 2026-02-20 Roshan S. Kaundinya , Isabella Thiel , Bálint Kaszás , Shobhit Jain , George Haller

Microbiome data are complex in nature, involving high dimensionality, compositionally, zero inflation, and taxonomic hierarchy. Compositional data reside in a simplex that does not admit the standard Euclidean geometry. Most existing…

Methodology · Statistics 2020-11-12 Gen Li , Yan Li , Kun Chen

Multimodal federated learning enables privacy-preserving collaborative model training across healthcare institutions. However, a fundamental challenge arises from modality heterogeneity: many clinical sites possess only a subset of…

Image and Video Processing · Electrical Eng. & Systems 2026-04-15 Nafis Fuad Shahid , Maroof Ahmed , Md Akib Haider , Saidur Rahman Sagor , Aashnan Rahman , Md Azam Hossain

Federated learning (FL) has demonstrated great potential in revolutionizing distributed machine learning, and tremendous efforts have been made to extend it beyond the original focus on supervised learning. Among many directions, federated…

Machine Learning · Statistics 2024-09-17 Chengshuai Shi , Ruida Zhou , Kun Yang , Cong Shen

Compositional generalization-a key open challenge in modern machine learning-requires models to predict unknown combinations of known concepts. However, assessing compositional generalization remains a fundamental challenge due to the lack…

Machine Learning · Computer Science 2025-11-06 Giacomo Camposampiero , Pietro Barbiero , Michael Hersche , Roger Wattenhofer , Abbas Rahimi

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Real-time monitoring in modern medical research introduces functional longitudinal data, characterized by continuous-time measurements of outcomes, treatments, and confounders. This complexity leads to uncountably infinite…

Methodology · Statistics 2025-08-15 Andrew Ying

Global sensitivity analysis is used to quantify the influence of uncertain input parameters on the response variability of a numerical model. The common quantitative methods are applicable to computer codes with scalar input variables. This…

Applications · Statistics 2008-06-09 Bertrand Iooss , Mathieu Ribatet

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this paper,…

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

Recently, a so-called E-MS algorithm was developed for model selection in the presence of missing data. Specifically, it performs the Expectation step (E step) and Model Selection step (MS step) alternately to find the minimum point of the…

Methodology · Statistics 2021-06-22 Ping-Feng Xu , Lai-Xu Shang , Man-Lai Tang , Na Shan , Guoliang Tian
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