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A bottleneck of sufficient dimension reduction (SDR) in the modern era is that, among numerous methods, only the sliced inverse regression (SIR) is generally applicable under the high-dimensional settings. The higher-order inverse…

Methodology · Statistics 2024-07-24 Yin Jin , Wei Luo

Our aim is to evaluate fundamental parameters from the analysis of the electromagnetic spectra of stars. We may use $10^3$-$10^5$ spectra; each spectrum being a vector with $10^2$-$10^4$ coordinates. We thus face the so-called "curse of…

Instrumentation and Methods for Astrophysics · Physics 2017-06-08 V. Watson , JF. Trouilhet , F. Paletou , S. Girard

Whilst influence functions for linear discriminant analysis (LDA) have been found for a single discriminant when dealing with two groups, until now these have not been derived in the setting of a general number of groups. In this paper we…

Statistics Theory · Mathematics 2019-10-01 Luke A. Prendergast , Jodie A. Smith

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

Observational epidemiological studies commonly seek to estimate the causal effect of an exposure on an outcome. Adjustment for potential confounding bias in modern studies is challenging due to the presence of high-dimensional confounding,…

Methodology · Statistics 2025-08-29 Susan Ellul , Stijn Vansteelandt , John B. Carlin , Margarita Moreno-Betancur

Due to their data-driven nature, Machine Learning (ML) models are susceptible to bias inherited from data, especially in classification problems where class and group imbalances are prevalent. Class imbalance (in the classification target)…

Machine Learning · Computer Science 2024-09-10 Emmanouil Panagiotou , Arjun Roy , Eirini Ntoutsi

Imbalanced problems can arise in different real-world situations, and to address this, certain strategies in the form of resampling or balancing algorithms are proposed. This issue has largely been studied in the context of classification,…

Machine Learning · Computer Science 2025-07-17 Juscimara G. Avelino , George D. C. Cavalcanti , Rafael M. O. Cruz

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

Case-cohort studies are conducted within cohort studies, wherein collection of exposure data is limited to a subset of the cohort, leading to a large proportion of missing data by design. Standard analysis uses inverse probability weighting…

Many real-world applications reveal difficulties in learning classifiers from imbalanced data. The rising big data era has been witnessing more classification tasks with large-scale but extremely imbalance and low-quality datasets. Most of…

Machine Learning · Computer Science 2020-10-20 Zhining Liu , Wei Cao , Zhifeng Gao , Jiang Bian , Hechang Chen , Yi Chang , Tie-Yan Liu

Model learning from class imbalanced training data is a long-standing and significant challenge for machine learning. In particular, existing deep learning methods consider mostly either class balanced data or moderately imbalanced data in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Qi Dong , Shaogang Gong , Xiatian Zhu

Imbalanced data distributions are prevalent in real-world scenarios, posing significant challenges in both imbalanced classification and imbalanced regression tasks. They often cause deep learning models to overfit in areas of high sample…

Machine Learning · Computer Science 2025-03-31 Guangkun Nie , Gongzheng Tang , Shenda Hong

Sliced inverse regression (SIR, Li 1991) is a pioneering work and the most recognized method in sufficient dimension reduction. While promising progress has been made in theory and methods of high-dimensional SIR, two remaining challenges…

Methodology · Statistics 2023-04-14 Qing Mai , Xiaofeng Shao , Runmin Wang , Xin Zhang

Missing data are ubiquitous in empirical databases, yet statistical analyses typically require complete data matrices. Multiple imputation offers a principled solution for filling these gaps. This study evaluates the performance of several…

Computation · Statistics 2026-02-05 Enzo Porto Brasil

Time Series Classification (TSC) has drawn a lot of attention in literature because of its broad range of applications for different domains, such as medical data mining, weather forecasting. Although TSC algorithms are designed for…

Machine Learning · Computer Science 2021-10-12 Syed Rawshon Jamil

Missing data present challenges in data analysis. Naive analyses such as complete-case and available-case analysis may introduce bias and loss of efficiency, and produce unreliable results. Multiple imputation (MI) is one of the most widely…

Methodology · Statistics 2019-05-15 Domonique W. Hodge , Sandra E. Safo , Qi Long

Class imbalance poses a fundamental challenge in machine learning, frequently leading to unreliable classification performance. While prior methods focus on data- or loss-reweighting schemes, we view imbalance as a data condition that…

Machine Learning · Computer Science 2025-11-03 Jakob Hackstein , Sidney Bender

Data imbalance is common in production data, where controlled production settings require data to fall within a narrow range of variation and data are collected with quality assessment in mind, rather than data analytic insights. This…

Machine Learning · Statistics 2021-12-17 Rune D. Kjærsgaard , Manja G. Grønberg , Line K. H. Clemmensen

Anomaly detection is crucial in industrial applications for identifying rare and unseen patterns to ensure system reliability. Traditional models, trained on a single class of normal data, struggle with real-world distributions where normal…

Machine Learning · Statistics 2026-01-07 Jungi Lee , Jungkwon Kim , Chi Zhang , Sangmin Kim , Kwangsun Yoo , Seok-Joo Byun

Longitudinal Multiple Sclerosis Lesion Segmentation is a particularly challenging problem that involves both input and output imbalance in the data and segmentation. Therefore in order to develop models that are practical, one of the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Dayan Perera , Ting Fung Fung , Vishnu Monn
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