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Linear regression is ubiquitous in statistical analysis. It is well understood that conflicting sources of information may contaminate the inference when the classical normality of errors is assumed. The contamination caused by the light…

Methodology · Statistics 2019-06-13 Philippe Gagnon , Alain Desgagné , Mylène Bédard

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

As the data scale grows, deep recognition models often suffer from long-tailed data distributions due to the heavy imbalanced sample number across categories. Indeed, real-world data usually exhibit some similarity relation among different…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Lei Liu , Li Liu

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 present prompt distribution learning for effectively adapting a pre-trained vision-language model to address downstream recognition tasks. Our method not only learns low-bias prompts from a few samples but also captures the distribution…

Computer Vision and Pattern Recognition · Computer Science 2022-05-09 Yuning Lu , Jianzhuang Liu , Yonggang Zhang , Yajing Liu , Xinmei Tian

Probabilistic models often use neural networks to control their predictive uncertainty. However, when making out-of-distribution (OOD)} predictions, the often-uncontrollable extrapolation properties of neural networks yield poor uncertainty…

Machine Learning · Computer Science 2022-01-19 Pierre Segonne , Yevgen Zainchkovskyy , Søren Hauberg

In the real world, the frequency of occurrence of objects is naturally skewed forming long-tail class distributions, which results in poor performance on the statistically rare classes. A promising solution is to mine tail-class examples to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-16 Gursimran Singh , Lingyang Chu , Lanjun Wang , Jian Pei , Qi Tian , Yong Zhang

We study the finite-time behaviour of the popular temporal difference (TD) learning algorithm when combined with tail-averaging. We derive finite time bounds on the parameter error of the tail-averaged TD iterate under a step-size choice…

Machine Learning · Computer Science 2024-09-20 Gandharv Patil , Prashanth L. A. , Dheeraj Nagaraj , Doina Precup

Simulation-based inference (SBI) enables amortized Bayesian inference by first training a neural posterior estimator (NPE) on prior-simulator pairs, typically through low-dimensional summary statistics, which can then be cheaply reused for…

Machine Learning · Statistics 2026-02-11 Sherman Khoo , Dennis Prangle , Song Liu , Mark Beaumont

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

Computation · Statistics 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

A theoretical expression is derived for the mean squared error of a nonparametric estimator of the tail dependence coefficient, depending on a threshold that defines which rank delimits the tails of a distribution. We propose a new method…

Methodology · Statistics 2023-07-25 Matthieu Garcin , Maxime L. D. Nicolas

This work proposes $\mu$GUIDE: a general Bayesian framework to estimate posterior distributions of tissue microstructure parameters from any given biophysical model or MRI signal representation, with exemplar demonstration in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-05 Maëliss Jallais , Marco Palombo

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 field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

Statistics Theory · Mathematics 2023-01-19 Michael Bian , Rina Foygel Barber

Despite impressive performance as evaluated on i.i.d. holdout data, deep neural networks depend heavily on superficial statistics of the training data and are liable to break under distribution shift. For example, subtle changes to the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Haohan Wang , Zexue He , Zachary C. Lipton , Eric P. Xing

Score-based generative models (SGMs) have achieved remarkable empirical success, motivating their application to a broad range of data distributions. However, extending them to heavy-tailed targets remains a largely open problem. Although…

Machine Learning · Statistics 2026-05-15 Tiziano Fassina , Gabriel Cardoso , Sylvan Le Corff , Thomas Romary

Score-based diffusion models have become a powerful framework for generative modeling, with score estimation as a central statistical bottleneck. Existing guarantees for score estimation largely focus on light-tailed targets or rely on…

Statistics Theory · Mathematics 2026-01-13 Yifeng Yu , Lu Yu

Neural network compression has been an increasingly important subject, not only due to its practical relevance, but also due to its theoretical implications, as there is an explicit connection between compressibility and generalization…

Machine Learning · Statistics 2024-02-13 Yijun Wan , Melih Barsbey , Abdellatif Zaidi , Umut Simsekli

The key to successful statistical analysis of bivariate extreme events lies in flexible modelling of the tail dependence relationship between the two variables. In the extreme value theory literature, various techniques are available to…

Methodology · Statistics 2025-05-05 Emma S. Simpson , Jonathan A. Tawn

Deep models often fail to generalize well in test domains when the data distribution differs from that in the training domain. Among numerous approaches to address this Out-of-Distribution (OOD) generalization problem, there has been a…

Machine Learning · Computer Science 2022-10-14 Qixun Wang , Yifei Wang , Hong Zhu , Yisen Wang