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Heavy tails are often found in practice, and yet they are an Achilles heel of a variety of mainstream random probability measures such as the Dirichlet process (DP). The first contribution of this paper focuses on characterizing the tails…

Statistics Theory · Mathematics 2025-04-04 Vianey Palacios Ramirez , Miguel de Carvalho , Luis Gutierrez Inostroza

Randomized experiments are the gold standard for investigating causal relationships, with comparisons of potential outcomes under different treatment groups used to estimate treatment effects. However, outcomes with heavy-tailed…

Methodology · Statistics 2024-07-09 Hongzi Li , Wei Ma , Yingying Ma , Hanzhong Liu

We propose a multivariate generative model to capture the complex dependence structure often encountered in business and financial data. Our model features heterogeneous and asymmetric tail dependence between all pairs of individual…

Machine Learning · Computer Science 2025-12-10 Xiangqian Sun , Xing Yan , Qi Wu

Diversity schemes play a vital role in improving the performance of ultra-reliable communication systems by transmitting over two or more communication channels to combat fading and co-channel interference. Determining an appropriate…

Information Theory · Computer Science 2024-01-12 Niloofar Mehrnia , Sinem Coleri

In this paper, we focus on data augmentation for the extreme multi-label classification (XMC) problem. One of the most challenging issues of XMC is the long tail label distribution where even strong models suffer from insufficient…

Computation and Language · Computer Science 2020-09-24 Danqing Zhang , Tao Li , Haiyang Zhang , Bing Yin

Heavy-tailed distributions are frequently used to enhance the robustness of regression and classification methods to outliers in output space. Often, however, we are confronted with "outliers" in input space, which are isolated observations…

Machine Learning · Statistics 2010-06-24 Fabian L. Wauthier , Michael I. Jordan

Learning an effective representation in multi-label text classification (MLTC) is a significant challenge in NLP. This challenge arises from the inherent complexity of the task, which is shaped by two key factors: the intricate connections…

Machine Learning · Computer Science 2024-04-16 Alexandre Audibert , Aurélien Gauffre , Massih-Reza Amini

High-dimensional data subject to heavy-tailed phenomena and heterogeneity are commonly encountered in various scientific fields and bring new challenges to the classical statistical methods. In this paper, we combine the asymmetric square…

Statistics Theory · Mathematics 2019-10-02 Jun Zhao , Guan'ao Yan , Yi Zhang

Extremile regression, as a least squares analog of quantile regression, is potentially useful tool for modeling and understanding the extreme tails of a distribution. However, existing extremile regression methods, as nonparametric…

Methodology · Statistics 2025-07-03 Rong Jiang , Keming Yu , Jiangfeng Wang

We propose a stochastic process driven by the memory effect with novel distributions which include both exponential and leptokurtic heavy-tailed distributions. A class of the distributions is analytically derived from the continuum limit of…

Statistics Theory · Mathematics 2012-03-27 Jongwook Kim , Teppei Okumura

We consider the task of heavy-tailed statistical estimation given streaming $p$-dimensional samples. This could also be viewed as stochastic optimization under heavy-tailed distributions, with an additional $O(p)$ space complexity…

Machine Learning · Computer Science 2022-02-28 Che-Ping Tsai , Adarsh Prasad , Sivaraman Balakrishnan , Pradeep Ravikumar

We introduce a method to estimate simultaneously the tail and the threshold parameters of an extreme value regression model. This standard model finds its use in finance to assess the effect of market variables on extreme loss distributions…

Methodology · Statistics 2023-04-17 Julien Hambuckers , Marie Kratz , Antoine Usseglio-Carleve

We introduce a trimmed version of the Hill estimator for the index of a heavy-tailed distribution, which is robust to perturbations in the extreme order statistics. In the ideal Pareto setting, the estimator is essentially finite-sample…

Methodology · Statistics 2017-11-15 Shrijita Bhattacharya , Michael Kallitsis , Stilian Stoev

Class imbalance, which is also called long-tailed distribution, is a common problem in classification tasks based on machine learning. If it happens, the minority data will be overwhelmed by the majority, which presents quite a challenge…

Machine Learning · Computer Science 2023-03-29 Jia-Chen Zhao

Quantile regression is an important tool for estimation of conditional quantiles of a response Y given a vector of covariates X. It can be used to measure the effect of covariates not only in the center of a distribution, but also in the…

Statistics Theory · Mathematics 2017-10-03 Victor Chernozhukov

Representation learning is the foundation of machine reading comprehension and inference. In state-of-the-art models, character-level representations have been broadly adopted to alleviate the problem of effectively representing rare or…

Computation and Language · Computer Science 2019-06-12 Zhuosheng Zhang , Hai Zhao , Kangwei Ling , Jiangtong Li , Zuchao Li , Shexia He , Guohong Fu

Long-tailed multi-label visual recognition (LTML) task is a highly challenging task due to the label co-occurrence and imbalanced data distribution. In this work, we propose a unified framework for LTML, namely prompt tuning with…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Peng Xia , Di Xu , Ming Hu , Lie Ju , Zongyuan Ge

We propose a new active learning (AL) method for text classification with convolutional neural networks (CNNs). In AL, one selects the instances to be manually labeled with the aim of maximizing model performance with minimal effort. Neural…

Computation and Language · Computer Science 2016-12-02 Ye Zhang , Matthew Lease , Byron C. Wallace

A network evolution with predicted tail and extremal indices of PageRank and the Max-Linear Model used as node influence indices in random graphs is considered. The tail index shows a heaviness of the distribution tail. The extremal index…

Statistics Theory · Mathematics 2022-11-28 Natalia Markovich

This paper introduces a two-stage framework designed to enhance long-tail class incremental learning, enabling the model to progressively learn new classes, while mitigating catastrophic forgetting in the context of long-tailed data…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Jayateja Kalla , Soma Biswas