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In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

Statistical Mechanics · Physics 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

The automatic verbalization of structured knowledge is a key task for making knowledge graphs accessible to non-expert users and supporting retrieval-augmented generation systems. Although recent advances in Data-to-Text generation have…

Deep learning-based models encounter challenges when processing long-tailed data in the real world. Existing solutions usually employ some balancing strategies or transfer learning to deal with the class imbalance problem, based on the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Changyao Tian , Wenhai Wang , Xizhou Zhu , Jifeng Dai , Yu Qiao

The subject of tail estimation for randomly censored data from a heavy tailed distribution receives growing attention, motivated by applications for instance in actuarial statistics. The bias of the available estimators of the extreme value…

Methodology · Statistics 2017-05-19 Jan Beirlant , Gaonyalelwe Maribe , Andrehette Verster

The objective in extreme multi-label learning is to train a classifier that can automatically tag a novel data point with the most relevant subset of labels from an extremely large label set. Embedding based approaches make training and…

Machine Learning · Computer Science 2015-07-13 Kush Bhatia , Himanshu Jain , Purushottam Kar , Prateek Jain , Manik Varma

Over the last few years, machine learning over graph structures has manifested a significant enhancement in text mining applications such as event detection, opinion mining, and news recommendation. One of the primary challenges in this…

Computation and Language · Computer Science 2019-11-26 Kayvan Bijari , Hadi Zare , Emad Kebriaei , Hadi Veisi

Despite deep recurrent neural networks (RNNs) demonstrate strong performance in text classification, training RNN models are often expensive and requires an extensive collection of annotated data which may not be available. To overcome the…

Computation and Language · Computer Science 2018-10-02 Wasi Uddin Ahmad , Xueying Bai , Nanyun Peng , Kai-Wei Chang

Some new survival distributions are introduced based on a generalised exponential function. This class of distributions includes heavy-tailed generalisations of exponential, Weibull and gamma distributions. Properties of the distributions…

Methodology · Statistics 2014-12-03 Rose Baker

Empirical distributions have their in-sample maxima as natural censoring. We look at the "hidden tail", that is, the part of the distribution in excess of the maximum for a sample size of $n$. Using extreme value theory, we examine the…

Statistical Finance · Quantitative Finance 2020-04-14 Nassim Nicholas Taleb

Conventional methods for extreme event estimation rely on well-chosen parametric models asymptotically justified from extreme value theory (EVT). These methods, while powerful and theoretically grounded, could however encounter a difficult…

Methodology · Statistics 2023-01-05 Yuanlu Bai , Henry Lam , Xinyu Zhang

This paper investigates pooling strategies for tail index and extreme quantile estimation from heavy-tailed data. To fully exploit the information contained in several samples, we present general weighted pooled Hill estimators of the tail…

Statistics Theory · Mathematics 2021-11-08 Abdelaati Daouia , Simone A. Padoan , Gilles Stupfler

Many real-world prediction tasks have outcome variables that have characteristic heavy-tail distributions. Examples include copies of books sold, auction prices of art pieces, demand for commodities in warehouses, etc. By learning…

Machine Learning · Computer Science 2023-10-13 Xindi Wang , Onur Varol , Tina Eliassi-Rad

Class-incremental learning is dedicated to the development of deep learning models that are capable of acquiring new knowledge while retaining previously learned information. Most methods focus on balanced data distribution for each task,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Linjie Li , Zhenyu Wu , Jiaming Liu , Yang Ji

Big data can easily be contaminated by outliers or contain variables with heavy-tailed distributions, which makes many conventional methods inadequate. To address this challenge, we propose the adaptive Huber regression for robust…

Statistics Theory · Mathematics 2018-10-11 Qiang Sun , Wenxin Zhou , Jianqing Fan

This paper introduces a new classification scheme - head/tail breaks - in order to find groupings or hierarchy for data with a heavy-tailed distribution. The heavy-tailed distributions are heavily right skewed, with a minority of large…

Data Analysis, Statistics and Probability · Physics 2013-10-22 Bin Jiang

We propose a technique for performing deductive qualitative data analysis at scale on text-based data. Using a natural language processing technique known as text embeddings, we create vector-based representations of texts in a…

The relationship between a response variable and its covariates can vary significantly, especially in scenarios where covariates take on extremely high or low values. This paper introduces a max-linear tail regression model specifically…

Methodology · Statistics 2025-02-24 Liujun Chen , Deyuan Li , Zhengjun Zhang

In many real-world applications, the frequency distribution of class labels for training data can exhibit a long-tailed distribution, which challenges traditional approaches of training deep neural networks that require heavy amounts of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Richard Franklin , Jiawei Yao , Deyang Zhong , Qi Qian , Juhua Hu

In this paper we consider the estimation problem for high quantiles of a heavy-tailed distribution from block data when only a few largest values are observed within blocks. We propose estimators for high quantiles and prove that these…

Statistics Theory · Mathematics 2023-06-27 Yongcheng Qi , Mengzi Xie , Jingping Yang

We propose GradTail, an algorithm that uses gradients to improve model performance on the fly in the face of long-tailed training data distributions. Unlike conventional long-tail classifiers which operate on converged - and possibly…

Machine Learning · Computer Science 2022-01-20 Zhao Chen , Vincent Casser , Henrik Kretzschmar , Dragomir Anguelov
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