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In class incremental learning (CIL) a model must learn new classes in a sequential manner without forgetting old ones. However, conventional CIL methods consider a balanced distribution for each new task, which ignores the prevalence of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xialei Liu , Yu-Song Hu , Xu-Sheng Cao , Andrew D. Bagdanov , Ke Li , Ming-Ming Cheng

We study efficient algorithms for linear regression and covariance estimation in the absence of Gaussian assumptions on the underlying distributions of samples, making assumptions instead about only finitely-many moments. We focus on how…

This paper is concerned with Bayesian inferential methods for data from controlled branching processes that account for model robustness through the use of disparities. Under regularity conditions, we establish that estimators built on…

Methodology · Statistics 2018-02-19 M. González , C. Minuesa , I. del Puerto , A. N. Vidyashankar

In application areas where data generation is expensive, Gaussian processes are a preferred supervised learning model due to their high data-efficiency. Particularly in model-based control, Gaussian processes allow the derivation of…

Machine Learning · Computer Science 2021-01-15 Armin Lederer , Jonas Umlauft , Sandra Hirche

Long-tail learning has received significant attention in recent years due to the challenge it poses with extremely imbalanced datasets. In these datasets, only a few classes (known as the head classes) have an adequate number of training…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Jiang-Xin Shi , Tong Wei , Yuke Xiang , Yu-Feng Li

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

Machine Learning · Statistics 2025-01-22 Katharine Fisher , Youssef Marzouk

Balancing training on long-tail data distributions remains a long-standing challenge in deep learning. While methods such as re-weighting and re-sampling help alleviate the imbalance issue, limited sample diversity continues to hinder…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Shizhen Zhao , Xin Wen , Jiahui Liu , Chuofan Ma , Chunfeng Yuan , Xiaojuan Qi

Given a finite collection of stochastic alternatives, we study the problem of sequentially allocating a fixed sampling budget to identify the optimal alternative with a high probability, where the optimal alternative is defined as the one…

Methodology · Statistics 2025-03-11 Dohyun Ahn , Taeho Kim

This work proposes a novel method to robustly and accurately model time series with heavy-tailed noise, in non-stationary scenarios. In many practical application time series have heavy-tailed noise that significantly impacts the…

Machine Learning · Statistics 2022-08-01 Elena Ehrlich , Laurent Callot , François-Xavier Aubet

The connection between Bayesian neural networks and Gaussian processes gained a lot of attention in the last few years. Hidden units are proven to follow a Gaussian process limit when the layer width tends to infinity. Recent work has…

Machine Learning · Statistics 2021-10-07 Mariia Vladimirova , Julyan Arbel , Stéphane Girard

Surrogate models have become ubiquitous in science and engineering for their capability of emulating expensive computer codes, necessary to model and investigate complex phenomena. Bayesian emulators based on Gaussian processes adequately…

Computation · Statistics 2017-08-02 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

Long-tail learning has garnered widespread attention and achieved significant progress in recent times. However, even with pre-trained prior knowledge, models still exhibit weaker generalization performance on tail classes. The promising…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Mengke Li , Ye Liu , Yang Lu , Yiqun Zhang , Yiu-ming Cheung , Hui Huang

Long-tailed semi-supervised learning (LTSSL) presents a formidable challenge where models must overcome the scarcity of tail samples while mitigating the noise from unreliable pseudo-labels. Most prior LTSSL methods are designed to train…

Machine Learning · Computer Science 2026-04-09 Zhiyuan Huang , Jiahao Chen , Bing Su

Self-supervised learning (SSL) has shown remarkable data representation capabilities across a wide range of datasets. However, when applied to real-world datasets with long-tailed distributions, performance on multiple downstream tasks…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Haowen Xiao , Guanghui Liu , Xinyi Gao , Yang Li , Fengmao Lv , Jielei Chu

Deep neural networks have demonstrated remarkable advancements in various fields using large, well-annotated datasets. However, real-world data often exhibit long-tailed distributions and label noise, significantly degrading generalization…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Jae Soon Baik , In Young Yoon , Kun Hoon Kim , Jun Won Choi

We propose a robust gradient estimator based on per-sample gradient clipping and analyze its properties both theoretically and empirically. We show that the resulting method, per-sample clipped SGD (PS-Clip-SGD), achieves optimal…

Optimization and Control · Mathematics 2026-05-05 Davide Nobile , Philipp Grohs

The problem of regression extrapolation, or out-of-distribution generalization, arises when predictions are required at test points outside the range of the training data. In such cases, the non-parametric guarantees for regression methods…

Methodology · Statistics 2024-10-31 Gloria Buriticá , Sebastian Engelke

Adversarial training is effective on balanced datasets, but its robustness degrades under longtailed class distributions, where tail classes suffer high robust error and unstable decision boundaries. We propose Manifold-Constrained…

Machine Learning · Computer Science 2026-05-05 Guanmeng Xian , Ning Yang , Philip S. Yu

Self-supervised learning (SSL) as an effective paradigm of representation learning has achieved tremendous success on various curated datasets in diverse scenarios. Nevertheless, when facing the long-tailed distribution in real-world…

Machine Learning · Computer Science 2023-10-27 Zhihan Zhou , Jiangchao Yao , Feng Hong , Ya Zhang , Bo Han , Yanfeng Wang

We propose the notion of sub-Weibull distributions, which are characterised by tails lighter than (or equally light as) the right tail of a Weibull distribution. This novel class generalises the sub-Gaussian and sub-Exponential families to…

Statistics Theory · Mathematics 2020-12-04 Mariia Vladimirova , Stephane Girard , Hien Nguyen , Julyan Arbel
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