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Weather forecasting is usually solved through numerical weather prediction (NWP), which can sometimes lead to unsatisfactory performance due to inappropriate setting of the initial states. In this paper, we design a data-driven method…

Machine Learning · Computer Science 2019-02-05 Bin Wang , Jie Lu , Zheng Yan , Huaishao Luo , Tianrui Li , Yu Zheng , Guangquan Zhang

Deep neural networks are highly vulnerable to adversarial examples, i.e.,small perturbations that can significantly degrade model performance. While adversarial training has become the primary defense strategy, most studies focus on…

Machine Learning · Computer Science 2026-05-14 Lilin Zhang , Yimo Guo , Yue Li , Jiancheng Shi , Xianggen Liu

Datasets with extreme observations and/or heavy-tailed error distributions are commonly encountered and should be analyzed with careful consideration of these features from a statistical perspective. Small deviations from an assumed model,…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

We study the empirical version of halfspace depths with the objective of establishing a connection between the rates of convergence and the tail behaviour of the corresponding underlying distributions. The intricate interplay between the…

Statistics Theory · Mathematics 2025-06-03 Sibsankar Singha , Marie Kratz , Sreekar Vadlamani

This article introduces a non-parametric information-theoretic approach to inference about the tail of a continuous or a discrete distribution. Leveraging a new concept named tail profile -- a set of information-theoretic quantities…

Applications · Statistics 2025-03-19 Jialin Zhang , Zhiyi Zhang

Instance segmentation has witnessed a remarkable progress on class-balanced benchmarks. However, they fail to perform as accurately in real-world scenarios, where the category distribution of objects naturally comes with a long tail.…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Jiaqi Wang , Wenwei Zhang , Yuhang Zang , Yuhang Cao , Jiangmiao Pang , Tao Gong , Kai Chen , Ziwei Liu , Chen Change Loy , Dahua Lin

The extrapolation of extremes to values beyond the span of stationary univariate historical data is considered from Bayesian and Frequentist perspectives. The intention is to make predictions which in some sense "preserve probability". A…

Statistics Theory · Mathematics 2014-10-13 Allan McRobie

As the class size grows, maintaining a balanced dataset across many classes is challenging because the data are long-tailed in nature; it is even impossible when the sample-of-interest co-exists with each other in one collectable unit,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Kaihua Tang , Jianqiang Huang , Hanwang Zhang

The fine-tuning paradigm in addressing long-tail learning tasks has sparked significant interest since the emergence of foundation models. Nonetheless, how fine-tuning impacts performance in long-tail learning was not explicitly quantified.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Jiang-Xin Shi , Tong Wei , Zhi Zhou , Jie-Jing Shao , Xin-Yan Han , Yu-Feng Li

The long-tail distribution of the visual world poses great challenges for deep learning based classification models on how to handle the class imbalance problem. Existing solutions usually involve class-balancing strategies, e.g., by loss…

Computer Vision and Pattern Recognition · Computer Science 2020-02-20 Bingyi Kang , Saining Xie , Marcus Rohrbach , Zhicheng Yan , Albert Gordo , Jiashi Feng , Yannis Kalantidis

Many management decisions involve accumulated random realizations for which only the first and second moments of their distribution are available. The sharp Chebyshev-type bound for the tail probability and Scarf bound for the expected loss…

Econometrics · Economics 2025-05-15 Zhaolin Li , Artem Prokhorov

This paper addresses the problem of estimating the tail index of distributions with heavy, Pareto-type tails for dependent data, that is of interest in the areas of finance, insurance, environmental monitoring and teletraffic analysis. A…

Methodology · Statistics 2010-05-25 Stilian A Stoev , George Michailidis

Measures of tail dependence between random variables aim to numerically quantify the degree of association between their extreme realizations. Existing tail dependence coefficients (TDCs) are based on an asymptotic analysis of relevant…

Applications · Statistics 2021-06-11 Davide Lauria , Svetlozar T. Rachev , A. Alexandre Trindade

Our primary aim is to find an estimate of the expected shortfall in various situations: (1) Nonparametric situation, when the probability distribution of the incurred loss is unknown, only satisfying some general conditions. Then, following…

Methodology · Statistics 2022-12-26 Jana Jurečková , Jan Kalina , Jan Večeř

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

We study the finite-time behaviour of the popular temporal difference (TD) learning algorithm when combined with tail-averaging. We derive finite time bounds on the parameter error of the tail-averaged TD iterate under a step-size choice…

Machine Learning · Computer Science 2024-09-20 Gandharv Patil , Prashanth L. A. , Dheeraj Nagaraj , Doina Precup

Accurate prediction of pedestrians' future motions is critical for intelligent driving systems. Developing models for this task requires rich datasets containing diverse sets of samples. However, the existing naturalistic trajectory…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Ray Coden Mercurius , Ehsan Ahmadi , Soheil Mohamad Alizadeh Shabestary , Amir Rasouli

Peaks-over-threshold analysis using the generalized Pareto distribution is widely applied in modelling tails of univariate random variables, but much information may be lost when complex extreme events are studied using univariate results.…

Methodology · Statistics 2022-01-14 Raphaël de Fondeville , Anthony C. Davison

Deep neural networks may perform poorly when training datasets are heavily class-imbalanced. Recently, two-stage methods decouple representation learning and classifier learning to improve performance. But there is still the vital issue of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Zhisheng Zhong , Jiequan Cui , Shu Liu , Jiaya Jia

In many applied fields, the prediction of more severe events than those already recorded is crucial for safeguarding against potential future calamities. What-if analyses, which evaluate hypothetical scenarios up to the worst-case event,…

Methodology · Statistics 2025-04-08 Simone A. Padoan , Stefano Rizzelli