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Data privacy and long-tailed distribution are the norms rather than the exception in many real-world tasks. This paper investigates a federated long-tailed learning (Fed-LT) task in which each client holds a locally heterogeneous dataset;…

Machine Learning · Computer Science 2023-11-28 Zikai Xiao , Zihan Chen , Songshang Liu , Hualiang Wang , Yang Feng , Jin Hao , Joey Tianyi Zhou , Jian Wu , Howard Hao Yang , Zuozhu Liu

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Predicting the future trajectories of the traffic agents is a gordian technique in autonomous driving. However, trajectory prediction suffers from data imbalance in the prevalent datasets, and the tailed data is often more complicated and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Yuning Wang , Pu Zhang , Lei Bai , Jianru Xue

Embeddings in machine learning are low-dimensional representations of complex input patterns, with the property that simple geometric operations like Euclidean distances and dot products can be used for classification and comparison tasks.…

Machine Learning · Statistics 2018-02-28 Niko Brummer , Anna Silnova , Lukas Burget , Themos Stafylakis

The primary goal of this paper is to introduce a novel frailty model based on the weighted Lindley (WL) distribution for modeling clustered survival data. We study the statistical properties of the proposed model. In particular, the amount…

Methodology · Statistics 2022-06-28 Diego I. Gallardo , Marcelo Bourguignon

Count data with high frequencies of zeros are found in many areas, specially in biology. Statistical models to analyze such data started to be developed in the 80s and are still a topic of active research. Such models usually assume a…

Applications · Statistics 2018-10-08 Gustavo Thomas , Luiz R. Nakamura , Rafael A. Moral , Clarice G. B. Demétrio

In most risk assessment studies, it is important to accurately capture the entire distribution of the multivariate random vector of interest from low to high values. For example, in climate sciences, low precipitation events may lead to…

The real-world data distribution is essentially long-tailed, which poses great challenge to the deep model. In this work, we propose a new method, Gradual Balanced Loss and Adaptive Feature Generator (GLAG) to alleviate imbalance. GLAG…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Zihan Zhang , Xiang Xiang

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 situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

Methodology · Statistics 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

The four-parameter generalized beta distribution of the second kind (GBII) has been proposed for modelling insurance losses with heavy-tailed features. The aim of this paper is to present a parametric composite GBII regression modelling by…

Methodology · Statistics 2024-01-29 Zhengxiao Li , Fei Wang , Zhengtang Zhao

Transmuted geometric distribution (TGD) was recently introduced and investigated by Chakraborty and Bhati (2016). This is a flexible extension of geometric distribution having an additional parameter that determines its zero inflation as…

Methodology · Statistics 2016-10-25 Subrata Chakraborty , Deepesh Bhati

Most existing state-of-the-art video classification methods assume that the training data obey a uniform distribution. However, video data in the real world typically exhibit an imbalanced long-tailed class distribution, resulting in a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Yufan Hu , Junyu Gao , Changsheng Xu

A discrete version of the Gumbel (Type I) extreme value distribution has been derived by using the general approach of discretization of a continuous distribution. Important distributional and reliability properties have been explored. It…

Statistics Theory · Mathematics 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

The paper introduces structured machine learning regressions for heavy-tailed dependent panel data potentially sampled at different frequencies. We focus on the sparse-group LASSO regularization. This type of regularization can take…

Econometrics · Economics 2021-11-23 Andrii Babii , Ryan T. Ball , Eric Ghysels , Jonas Striaukas

Distributed learning provides an attractive framework for scaling the learning task by sharing the computational load over multiple nodes in a network. Here, we investigate the performance of distributed learning for large-scale linear…

Machine Learning · Statistics 2021-11-03 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

Distributed Hash Tables (DHTs) are pivotal in numerous high-impact key-value applications built on distributed networked systems, offering a decentralized architecture that avoids single points of failure and improves data availability.…

Networking and Internet Architecture · Computer Science 2025-08-21 Shengze Wang , Yi Liu , Xiaoxue Zhang , Liting Hu , Chen Qian

The power law distribution is usually used to fit data in the upper tail of the distribution. However, commonly it is not valid to model data in all the range. In this paper, we present a new family of distributions, the so-called…

Adaptation and Self-Organizing Systems · Physics 2016-09-21 Faustino Prieto , José María Sarabia

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

Methodology · Statistics 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

Growth mixture models (GMMs) incorporate both conventional random effects growth modeling and latent trajectory classes as in finite mixture modeling; therefore, they offer a way to handle the unobserved heterogeneity between subjects in…

Methodology · Statistics 2017-11-15 Yuhong Wei , Yang Tang , Emilie Shireman , Paul D. McNicholas , Douglas L. Steinley