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For classification, the problem of class imbalance is well known and has been extensively studied. In this paper, we argue that imbalance in regression is an equally important problem which has so far been overlooked: Due to under- and…

Machine Learning · Computer Science 2024-02-20 Daniel Kowatsch , Nicolas M. Müller , Kilian Tscharke , Philip Sperl , Konstantin Bötinger

In this paper we investigate the problem of estimating the regression function in models with correlated observations. The data is obtained from several experimental units each of them forms a time series. We propose a new estimator based…

Statistics Theory · Mathematics 2019-06-13 Djihad Benelmadani , Karim Benhenni , Sana Louhichi

Many scientific and engineering problems require accurate models of dynamical systems with rare and extreme events. Such problems present a challenging task for data-driven modelling, with many naive machine learning methods failing to…

Machine Learning · Computer Science 2021-12-03 Samuel Rudy , Themistoklis Sapsis

Class distribution skews in imbalanced datasets may lead to models with prediction bias towards majority classes, making fair assessment of classifiers a challenging task. Metrics such as Balanced Accuracy are commonly used to evaluate a…

The estimation of the probability of rare events is an important task in reliability and risk assessment. We consider failure events that are expressed in terms of a limit state function, which depends on the solution of a partial…

Numerical Analysis · Mathematics 2020-07-15 Fabian Wagner , Jonas Latz , Iason Papaioannou , Elisabeth Ullmann

Understanding systems by forward and inverse modeling is a recurrent topic of research in many domains of science and engineering. In this context, Monte Carlo methods have been widely used as powerful tools for numerical inference and…

Computation · Statistics 2022-02-14 F. Llorente , L. Martino , D. Delgado , G. Camps-Valls

The prevailing IR-threshold paradigm posits a positive correlation between imbalance ratio (IR) and oversampling effectiveness, yet this assumption remains empirically unsubstantiated through controlled experimentation. We conducted 12…

Machine Learning · Computer Science 2026-04-07 Yuwen Jiang , Songyun Ye

Binary classification with an imbalanced dataset is challenging. Models tend to consider all samples as belonging to the majority class. Although existing solutions such as sampling methods, cost-sensitive methods, and ensemble learning…

Machine Learning · Computer Science 2022-07-08 Hsin-Han Tsai , Ta-Wei Yang , Wai-Man Wong , Cheng-Fu Chou

Cybersecurity has become essential worldwide and at all levels, concerning individuals, institutions, and governments. A basic principle in cybersecurity is to be always alert. Therefore, automation is imperative in processes where the…

Machine Learning · Computer Science 2025-05-08 Mateo Lopez-Ledezma , Gissel Velarde

Imbalanced regression arises when the target distribution is skewed, causing models to focus on dense regions and struggle with underrepresented (minority) samples. Despite its relevance across many applications, few methods have been…

Machine Learning · Computer Science 2025-08-05 Shayan Alahyari , Shiva Mehdipour Ghobadlou , Mike Domaratzki

Generalized Sliced Inverse Regression (GSIR) is one of the most important methods for nonlinear sufficient dimension reduction. As shown in Li and Song (2017), it enjoys a convergence rate that is independent of the dimension of the…

Statistics Theory · Mathematics 2026-02-19 Chak Fung Choi , Yin Tang , Bing Li

Sliced inverse regression (SIR) is a pioneer tool for supervised dimension reduction. It identifies the effective dimension reduction space, the subspace of significant factors with intrinsic lower dimensionality. In this paper, we propose…

Machine Learning · Statistics 2018-06-26 Ning Zhang , Zhou Yu , Qiang Wu

Tabular data are fundamental in common machine learning applications, ranging from finance to genomics and healthcare. This paper focuses on tabular regression tasks, a field where deep learning (DL) methods are not consistently superior to…

Machine Learning · Computer Science 2024-12-17 Hong-Wei Wu , Wei-Yao Wang , Kuang-Da Wang , Wen-Chih Peng

We propose an l1-regularized likelihood method for estimating the inverse covariance matrix in the high-dimensional multivariate normal model in presence of missing data. Our method is based on the assumption that the data are missing at…

Methodology · Statistics 2012-02-28 Nicolas Städler , Peter Bühlmann

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

Optimization and Control · Mathematics 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

Imbalanced datasets widely exist in practice and area great challenge for training deep neural models with agood generalization on infrequent classes. In this work, wepropose a new rare-class sample generator (RSG) to solvethis problem. RSG…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jianfeng Wang , Thomas Lukasiewicz , Xiaolin Hu , Jianfei Cai , Zhenghua Xu

Deep learning systems are prone to catastrophic forgetting when learning from a sequence of tasks, as old data from previous tasks is unavailable when learning a new task. To address this, some methods propose replaying data from previous…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Chenyang Wang , Junjun Jiang , Xingyu Hu , Xianming Liu , Xiangyang Ji

Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to…

High Energy Physics - Experiment · Physics 2009-10-22 H. C. Eggers , P. Lipa

Data imbalance is easily found in annotated data when the observations of certain continuous label values are difficult to collect for regression tasks. When they come to molecule and polymer property predictions, the annotated graph…

Machine Learning · Computer Science 2023-05-23 Gang Liu , Tong Zhao , Eric Inae , Tengfei Luo , Meng Jiang

Evaluating rare-event forecasts is challenging because standard metrics collapse as event prevalence declines. Measures such as F1-score, AUPRC, MCC, and accuracy induce degenerate thresholds -- converging to zero or one -- and their values…

Methodology · Statistics 2025-12-02 Sotirios D. Nikolopoulos
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