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We introduce the \textsc{Tailed-Uniform} proposal distribution for generating training simulations in simulation-based inference. Instead of sampling parameters uniformly within bounded regions, we extend the distribution beyond prior…

Instrumentation and Methods for Astrophysics · Physics 2026-01-27 Chaipat Tirapongprasert , Matthew Ho

Real-world data usually present long-tailed distributions. Training on imbalanced data tends to render neural networks perform well on head classes while much worse on tail classes. The severe sparseness of training instances for the tail…

Machine Learning · Computer Science 2021-11-10 Chaozheng Wang , Shuzheng Gao , Cuiyun Gao , Pengyun Wang , Wenjie Pei , Lujia Pan , Zenglin Xu

Real-world data typically follow a long-tailed distribution, where a few majority categories occupy most of the data while most minority categories contain a limited number of samples. Classification models minimizing cross-entropy struggle…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Jianggang Zhu , Zheng Wang , Jingjing Chen , Yi-Ping Phoebe Chen , Yu-Gang Jiang

This paper introduces a new learning paradigm called eXtreme Regression (XR) whose objective is to accurately predict the numerical degrees of relevance of an extremely large number of labels to a data point. XR can provide elegant…

Machine Learning · Computer Science 2020-01-22 Yashoteja Prabhu , Aditya Kusupati , Nilesh Gupta , Manik Varma

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

Statistics Theory · Mathematics 2021-02-25 Gil Kur , Alexander Rakhlin

Real-world data is often unbalanced and long-tailed, but deep models struggle to recognize rare classes in the presence of frequent classes. To address unbalanced data, most studies try balancing the data, the loss, or the classifier to…

Machine Learning · Computer Science 2021-11-02 Dvir Samuel , Gal Chechik

In real-world data, long-tailed data distribution is common, making it challenging for models trained on empirical risk minimisation to learn and classify tail classes effectively. While many studies have sought to improve long tail…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Ziheng Wang , Toni Lassila , Sharib Ali

The fundamental theorem of statistical learning states that for binary classification problems, any Empirical Risk Minimization (ERM) learning rule has close to optimal sample complexity. In this paper we seek for a generic optimal learner…

Machine Learning · Computer Science 2014-05-13 Amit Daniely , Shai Shalev-Shwartz

Extremile regression, as a least squares analog of quantile regression, is potentially useful tool for modeling and understanding the extreme tails of a distribution. However, existing extremile regression methods, as nonparametric…

Methodology · Statistics 2025-07-03 Rong Jiang , Keming Yu , Jiangfeng Wang

Learning-based solutions for long-tailed recognition face difficulties in generalizing on balanced test datasets. Due to imbalanced data prior, the learned \textit{a posteriori} distribution is biased toward the most frequent (head)…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 S Divakar Bhat , Amit More , Mudit Soni , Surbhi Agrawal

One of the most profound challenges of modern machine learning is performing well on the long-tail of rare and underrepresented features. Large general-purpose models are trained for many tasks, but work best on high-frequency use cases.…

Computation and Language · Computer Science 2025-06-18 Daniel D'souza , Julia Kreutzer , Adrien Morisot , Ahmet Üstün , Sara Hooker

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a…

Econometrics · Economics 2025-02-25 Laura Liu , Yulong Wang

This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the…

Econometrics · Economics 2025-04-23 Christian Brownlees , Guðmundur Stefán Guðmundsson

Most existing methods that cope with noisy labels usually assume that the class distributions are well balanced, which has insufficient capacity to deal with the practical scenarios where training samples have imbalanced distributions. To…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Chaowei Fang , Lechao Cheng , Huiyan Qi , Dingwen Zhang

Recently computer-aided diagnosis has demonstrated promising performance, effectively alleviating the workload of clinicians. However, the inherent sample imbalance among different diseases leads algorithms biased to the majority…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Li Pan , Yupei Zhang , Qiushi Yang , Tan Li , Zhen Chen

Contrastive Representation Learning (CRL) has achieved strong empirical success in multiple machine learning disciplines, yet its theoretical sample complexity remains poorly understood. Existing analyses usually assume that input tuples…

Machine Learning · Statistics 2026-05-29 Nong Minh Hieu , Antoine Ledent

The long-tailed image classification task remains important in the development of deep neural networks as it explicitly deals with large imbalances in the class frequencies of the training data. While uncommon in engineered datasets, this…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Marc-Antoine Lavoie , Steven Waslander

Heavy tailed distributions present a tough setting for inference. They are also common in industrial applications, particularly with Internet transaction datasets, and machine learners often analyze such data without considering the biases…

Applications · Statistics 2016-10-14 Matt Taddy , Hedibert Freitas Lopes , Matt Gardner

We consider statistical learning problems, when the distribution $P'$ of the training observations $Z'_1,\; \ldots,\; Z'_n$ differs from the distribution $P$ involved in the risk one seeks to minimize (referred to as the test distribution)…

Machine Learning · Statistics 2020-02-20 Robin Vogel , Mastane Achab , Stéphan Clémençon , Charles Tillier

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

Machine Learning · Computer Science 2018-03-13 Fulton Wang , Cynthia Rudin
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