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It can be important in Bayesian analyses of complex models to construct informative prior distributions which reflect knowledge external to the data at hand. Nevertheless, how much prior information an analyst can elicit from an expert will…

Applications · Statistics 2017-11-10 Xueou Wang , David J. Nott , C. C. Drovandi , Kerrie Mengersen , Michael Evans

The advances in variational inference are providing promising paths in Bayesian estimation problems. These advances make variational phylogenetic inference an alternative approach to Markov Chain Monte Carlo methods for approximating the…

Populations and Evolution · Quantitative Biology 2023-09-12 Amine M. Remita , Golrokh Vitae , Abdoulaye Baniré Diallo

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

Statistics Theory · Mathematics 2026-05-06 Stephan Clémençon , Anne Sabourin

The natural world often follows a long-tailed data distribution where only a few classes account for most of the examples. This long-tail causes classifiers to overfit to the majority class. To mitigate this, prior solutions commonly adopt…

Machine Learning · Computer Science 2020-09-15 Rahul Duggal , Scott Freitas , Sunny Dhamnani , Duen Horng Chau , Jimeng Sun

Real-world data often follows a long-tailed distribution, which makes the performance of existing classification algorithms degrade heavily. A key issue is that samples in tail categories fail to depict their intra-class diversity. Humans…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Xiaohua Chen , Yucan Zhou , Dayan Wu , Wanqian Zhang , Yu Zhou , Bo Li , Weiping Wang

Conformal prediction has emerged as a rigorous means of providing deep learning models with reliable uncertainty estimates and safety guarantees. Yet, its performance is known to degrade under distribution shift and long-tailed class…

Machine Learning · Computer Science 2023-07-06 Kevin Kasa , Graham W. Taylor

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

Methodology · Statistics 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

Modelling non-homogeneous and multi-component data is a problem that challenges scientific researchers in several fields. In general, it is not possible to find a simple and closed form probabilistic model to describe such data. That is why…

Methodology · Statistics 2017-12-27 Nehla Debbabi , Marie Kratz , Mamadou Mboup

We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

Methodology · Statistics 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Heavy-tailed models are used as a way to gain robustness against outliers in Bayesian analyses. In frequentist analyses, M-estimators are often employed. In this paper, the two approaches are tentatively reconciled by considering…

Methodology · Statistics 2026-02-20 Philippe Gagnon , Alain Desgagné

This paper considers learning deep features from long-tailed data. We observe that in the deep feature space, the head classes and the tail classes present different distribution patterns. The head classes have a relatively large spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Jialun Liu , Yifan Sun , Chuchu Han , Zhaopeng Dou , Wenhui Li

We propose robust sparse reduced rank regression for analyzing large and complex high-dimensional data with heavy-tailed random noise. The proposed method is based on a convex relaxation of a rank- and sparsity-constrained non-convex…

Machine Learning · Statistics 2019-04-16 Kean Ming Tan , Qiang Sun , Daniela Witten

It is not uncommon that real-world data are distributed with a long tail. For such data, the learning of deep neural networks becomes challenging because it is hard to classify tail classes correctly. In the literature, several existing…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mengke Li , Yiu-ming Cheung , Yang Lu , Zhikai Hu , Weichao Lan , Hui Huang

Balancing performance trade-off on long-tail (LT) data distributions remains a long-standing challenge. In this paper, we posit that this dilemma stems from a phenomenon called "tail performance degradation" (the model tends to severely…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Shenghan Chen , Yiming Liu , Yanzhen Wang , Yujia Wang , Xiankai Lu

Deep learning algorithms face great challenges with long-tailed data distribution which, however, is quite a common case in real-world scenarios. Previous methods tackle the problem from either the aspect of input space (re-sampling classes…

Computer Vision and Pattern Recognition · Computer Science 2022-05-13 Jiequan Cui , Shu Liu , Zhuotao Tian , Zhisheng Zhong , Jiaya Jia

We study the problem of complexity estimation in the context of parallelizing an advanced Branch and Bound-type algorithm over graphical models. The algorithm's pruning power makes load balancing, one crucial element of every distributed…

Artificial Intelligence · Computer Science 2012-10-19 Lars Otten , Rina Dechter

We consider the prediction of weak effects in a multiple-output regression setup, when covariates are expected to explain a small amount, less than $\approx 1%$, of the variance of the target variables. To facilitate the prediction of the…

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

Convolutional neural networks have achieved great improvement on face recognition in recent years because of its extraordinary ability in learning discriminative features of people with different identities. To train such a well-designed…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Xiao Zhang , Zhiyuan Fang , Yandong Wen , Zhifeng Li , Yu Qiao

Diffusion models have made significant advances recently in high-quality image synthesis and related tasks. However, diffusion models trained on real-world datasets, which often follow long-tailed distributions, yield inferior fidelity for…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Divin Yan , Lu Qi , Vincent Tao Hu , Ming-Hsuan Yang , Meng Tang