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We consider the fitting of heavy tailed data and distribution with a special attention to distributions with a non--standard shape in the "body" of the distribution. To this end we consider a dense class of heavy tailed distributions…

Statistics Theory · Mathematics 2017-05-15 Mogens Bladt , Leonardo Rojas-Nandayapa

Real-world visual data often exhibits a long-tailed distribution, where some ''head'' classes have a large number of samples, yet only a few samples are available for ''tail'' classes. Such imbalanced distribution causes a great challenge…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Junjie Zhang , Lingqiao Liu , Peng Wang , Chunhua Shen

Given an arbitrary continuous probability density function, it is introduced a conjugated probability density, which is defined through the Shannon information associated with its cumulative distribution function. These new densities are…

Statistics Theory · Mathematics 2018-01-26 H. M. de Oliveira , R. J. Cintra

In real-world scenarios, where knowledge distributions exhibit long-tail. Humans manage to master knowledge uniformly across imbalanced distributions, a feat attributed to their diligent practices of reviewing, summarizing, and correcting…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Qihao Zhao , Yalun Dai , Shen Lin , Wei Hu , Fan Zhang , Jun Liu

We propose a distance supervised relation extraction approach for long-tailed, imbalanced data which is prevalent in real-world settings. Here, the challenge is to learn accurate "few-shot" models for classes existing at the tail of the…

Information Retrieval · Computer Science 2023-01-26 Ningyu Zhang , Shumin Deng , Zhanlin Sun , Guanying Wang , Xi Chen , Wei Zhang , Huajun Chen

Distributed word representations have been demonstrated to be effective in capturing semantic and syntactic regularities. Unsupervised representation learning from large unlabeled corpora can learn similar representations for those words…

Computation and Language · Computer Science 2015-12-01 Chunting Zhou , Chonglin Sun , Zhiyuan Liu , Francis C. M. Lau

Long-tail class incremental learning (LT CIL) remains highly challenging because the scarcity of samples in tail classes not only hampers their learning but also exacerbates catastrophic forgetting under continuously evolving and imbalanced…

Artificial Intelligence · Computer Science 2026-03-24 Xi Wang , Xu Yang , Donghao Sun , Cheng Deng

Deploying deep models in real-world scenarios entails a number of challenges, including computational efficiency and real-world (e.g., long-tailed) data distributions. We address the combined challenge of learning long-tailed distributions…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Jihun Kim , Dahyun Kim , Hyungrok Jung , Taeil Oh , Jonghyun Choi

We investigate the integration of word embeddings as classification features in the setting of large scale text classification. Such representations have been used in a plethora of tasks, however their application in classification…

Computation and Language · Computer Science 2016-06-22 Georgios Balikas , Massih-Reza Amini

Unraveling the reasons behind the remarkable success and exceptional generalization capabilities of deep neural networks presents a formidable challenge. Recent insights from random matrix theory, specifically those concerning the spectral…

Machine Learning · Statistics 2023-04-10 Xuanzhe Xiao , Zeng Li , Chuanlong Xie , Fengwei Zhou

In this paper, we investigate the extreme-value methodology, to propose an improved estimator of the conditional tail expectation ($CTE$) for a loss distribution with a finite mean but infinite variance. The present work introduces a new…

Statistics Theory · Mathematics 2020-02-11 Mohamed Laidi , Abdelaziz Rassoul , Hamid Ould Rouis

By representing words with probability densities rather than point vectors, probabilistic word embeddings can capture rich and interpretable semantic information and uncertainty. The uncertainty information can be particularly meaningful in…

Computation and Language · Computer Science 2018-04-30 Ben Athiwaratkun , Andrew Gordon Wilson

Diffusion models have emerged as powerful generative frameworks with widespread applications across machine learning and artificial intelligence systems. While current research has predominantly focused on linear diffusions, these…

Machine Learning · Statistics 2025-10-06 Kulunu Dharmakeerthi , Yousef El-Laham , Henry H. Wong , Vamsi K. Potluru , Changhong He , Taosong He

On the basis of Nelson-Aalen nonparametric estimator of the cumulative distribution function, we provide a weak approximation to tail product-limit process for randomly right-censored heavy-tailed data. In this context, a new consistent…

Statistics Theory · Mathematics 2016-07-25 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir

Recently, long-tailed image classification harvests lots of research attention, since the data distribution is long-tailed in many real-world situations. Piles of algorithms are devised to address the data imbalance problem by biasing the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Chaowei Fang , Dingwen Zhang , Wen Zheng , Xue Li , Le Yang , Lechao Cheng , Junwei Han

We suggest approximating the distribution of the sum of independent and identically distributed random variables with a Pareto-like tail by combining extreme value approximations for the largest summands with a normal approximation for the…

Probability · Mathematics 2018-02-05 Ulrich K. Mueller

With the rapid proliferation of textual data, predicting long texts has emerged as a significant challenge in the domain of natural language processing. Traditional text prediction methods encounter substantial difficulties when grappling…

Computation and Language · Computer Science 2024-01-24 Jiahui Zhao , Ziyi Meng , Stepan Gordeev , Zijie Pan , Dongjin Song , Sandro Steinbach , Caiwen Ding

Recent advancements in language representation learning primarily emphasize language modeling for deriving meaningful representations, often neglecting style-specific considerations. This study addresses this gap by creating generic,…

Machine Learning · Computer Science 2025-03-17 Phil Ostheimer , Marius Kloft , Sophie Fellenz

We consider heavy-tailed distributions and compare the well-known estimators of the tail index, based on extreme value theory with a comparatively recent estimator based on a different idea.

Probability · Mathematics 2016-08-14 Vygantas Paulauskas , Marijus Vaičiulis

Sentence representation at the semantic level is a challenging task for Natural Language Processing and Artificial Intelligence. Despite the advances in word embeddings (i.e. word vector representations), capturing sentence meaning is an…