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Real-world data are long-tailed, the lack of tail samples leads to a significant limitation in the generalization ability of the model. Although numerous approaches of class re-balancing perform well for moderate class imbalance problems,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Yanbiao Ma , Licheng Jiao , Fang Liu , Shuyuan Yang , Xu Liu , Puhua Chen

In a multifidelity setting, data are available under the same conditions from two (or more) sources, e.g. computer codes, one being lower-fidelity but computationally cheaper, and the other higher-fidelity and more expensive. This work…

Methodology · Statistics 2024-09-25 Minji Kim , Kevin O'Connor , Vladas Pipiras , Themistoklis Sapsis

By introducing a weight function into the density power divergence, we develop a new class of robust and smooth estimators for the tail index of Pareto-type distributions, offering improved efficiency in the presence of outliers. These…

Statistics Theory · Mathematics 2025-07-25 Saida Mancer , Abdelhakim Necir , Djamel Meraghni

Many complex networks in natural and social phenomena have often been characterized by heavy-tailed degree distributions. However, due to rapidly growing size of network data and concerns on privacy issues about using these data, it becomes…

Physics and Society · Physics 2015-05-19 Young-Ho Eom , Hang-Hyun Jo

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

Statistics Theory · Mathematics 2026-05-06 Stephan Clémençon , Anne Sabourin

Real-world data is often unbalanced and long-tailed, but deep models struggle to recognize rare classes in the presence of frequent classes. To address unbalanced data, most studies try balancing the data, the loss, or the classifier to…

Machine Learning · Computer Science 2021-11-02 Dvir Samuel , Gal Chechik

Deep probabilistic forecasting is gaining attention in numerous applications ranging from weather prognosis, through electricity consumption estimation, to autonomous vehicle trajectory prediction. However, existing approaches focus on…

Machine Learning · Computer Science 2022-03-04 Jedrzej Kozerawski , Mayank Sharan , Rose Yu

Meta learning is a promising paradigm in the era of large models and task distributional robustness has become an indispensable consideration in real-world scenarios. Recent advances have examined the effectiveness of tail task risk…

Machine Learning · Computer Science 2024-10-31 Yiqin Lv , Qi Wang , Dong Liang , Zheng Xie

We introduce a new actuarial tail-shape index, the $\theta$-index, based on a probability equal level relationship between Value at Risk and Expected Shortfall. The index is defined at each tail probability level as the parameter value for…

Risk Management · Quantitative Finance 2026-01-29 Georgios I. Papayiannis , Georgios Psarrakos

In the context of long-tail classification on graphs, the vast majority of existing work primarily revolves around the development of model debiasing strategies, intending to mitigate class imbalances and enhance the overall performance.…

Machine Learning · Computer Science 2024-06-03 Haohui Wang , Baoyu Jing , Kaize Ding , Yada Zhu , Wei Cheng , Si Zhang , Yonghui Fan , Liqing Zhang , Dawei Zhou

Bias reduction in tail estimation has received considerable interest in extreme value analysis. Estimation methods that minimize the bias while keeping the mean squared error (MSE) under control, are especially useful when applying…

Statistics Theory · Mathematics 2016-06-21 Gaonyalelwe Maribe , Andréhette Verster , Jan Beirlant

We study the asymptotic behaviour of widely used tests for evaluating and comparing predictive accuracy when forecast errors exhibit heavy tails. In particular, when loss differentials have infinite variance, the Diebold-Mariano test…

Methodology · Statistics 2026-05-20 Jonas F. Frederiksen , Muneya Matsui , Rasmus S. Pedersen

Existing out-of-distribution (OOD) detection methods are typically benchmarked on training sets with balanced class distributions. However, in real-world applications, it is common for the training sets to have long-tailed distributions. In…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Haotao Wang , Aston Zhang , Yi Zhu , Shuai Zheng , Mu Li , Alex Smola , Zhangyang Wang

The problem of estimating the coefficient of bivariate tail dependence is considered here from the robustness point of view; it combines two apparently contradictory theories of robust statistics and extreme value statistics. The usual…

Applications · Statistics 2014-07-08 Abhik Ghosh

We propose a novel approach for detecting change points in high-dimensional linear regression models. Unlike previous research that relied on strict Gaussian/sub-Gaussian error assumptions and had prior knowledge of change points, we…

Methodology · Statistics 2024-05-22 Bin Liu , Zhengling Qi , Xinsheng Zhang , Yufeng Liu

Learning the tail behavior of a distribution is a notoriously difficult problem. By definition, the number of samples from the tail is small, and deep generative models, such as normalizing flows, tend to concentrate on learning the body of…

Machine Learning · Computer Science 2022-06-28 Mike Laszkiewicz , Johannes Lederer , Asja Fischer

Extreme events and the heavy tail distributions driven by them are ubiquitous in various scientific, engineering and financial research. They are typically associated with stochastic instability caused by hidden unresolved processes.…

Probability · Mathematics 2019-05-22 Andrew J. Majda , Xin T. Tong

We study mean change point testing problems for high-dimensional data, with exponentially- or polynomially-decaying tails. In each case, depending on the $\ell_0$-norm of the mean change vector, we separately consider dense and sparse…

Statistics Theory · Mathematics 2025-10-14 Mengchu Li , Yudong Chen , Tengyao Wang , Yi Yu

In this paper we develop a novel inferential approach based on geometric records for estimating the tail index of heavy-tailed distributions. We construct a maximum likelihood estimator for the Pareto model and establish its strong…

Statistics Theory · Mathematics 2026-04-30 Martín Alcalde , Raúl Gouet , Miguel Lafuente , F. Javier López , Gerardo Sanz

Heavy tailed distributions present a tough setting for inference. They are also common in industrial applications, particularly with Internet transaction datasets, and machine learners often analyze such data without considering the biases…

Applications · Statistics 2016-10-14 Matt Taddy , Hedibert Freitas Lopes , Matt Gardner