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The well-known empirical risk minimization (ERM) principle is the basis of many widely used machine learning algorithms, and plays an essential role in the classical PAC theory. A common description of a learning algorithm's performance is…

Machine Learning · Statistics 2025-01-31 Steve Hanneke , Mingyue Xu

Obtaining accurate class labels is often costly or unreliable, and may also be limited by privacy or other practical conditions. Compared with asking an annotator to provide the exact class, it is often easier to ask whether the true label…

Machine Learning · Computer Science 2026-05-11 Jiaxu Su , Junpeng Li , Changchun Hua , Yana Yang

We introduce collaborative learning in which multiple classifier heads of the same network are simultaneously trained on the same training data to improve generalization and robustness to label noise with no extra inference cost. It…

Machine Learning · Statistics 2018-11-08 Guocong Song , Wei Chai

Algorithms for noiseless collaborative PAC learning have been analyzed and optimized in recent years with respect to sample complexity. In this paper, we study collaborative PAC learning with the goal of reducing communication cost at…

Machine Learning · Computer Science 2020-12-22 Avrim Blum , Shelby Heinecke , Lev Reyzin

The Fundamental Theorem of PAC Learning asserts that learnability of a concept class $H$ is equivalent to the $\textit{uniform convergence}$ of empirical error in $H$ to its mean, or equivalently, to the problem of $\textit{density…

Machine Learning · Computer Science 2025-03-04 Max Hopkins , Daniel M. Kane , Shachar Lovett , Gaurav Mahajan

Developing an optimal PAC learning algorithm in the realizable setting, where empirical risk minimization (ERM) is suboptimal, was a major open problem in learning theory for decades. The problem was finally resolved by Hanneke a few years…

Machine Learning · Statistics 2024-03-15 Ishaq Aden-Ali , Mikael Møller Høgsgaard , Kasper Green Larsen , Nikita Zhivotovskiy

In machine learning applications, predictive models are trained to serve future queries across the entire data distribution. Real-world data often demands excessively complex models to achieve competitive performance, however, sacrificing…

Machine Learning · Computer Science 2025-09-22 Jizhou Huang , Brendan Juba

In many learning theory problems, a central role is played by a hypothesis class: we might assume that the data is labeled according to a hypothesis in the class (usually referred to as the realizable setting), or we might evaluate the…

Machine Learning · Computer Science 2022-11-17 Lunjia Hu , Charlotte Peale

The multi-label classification problem has generated significant interest in recent years. However, existing approaches do not adequately address two key challenges: (a) the ability to tackle problems with a large number (say millions) of…

Machine Learning · Computer Science 2013-11-26 Hsiang-Fu Yu , Prateek Jain , Purushottam Kar , Inderjit S. Dhillon

Social and real-world considerations such as robustness, fairness, social welfare and multi-agent tradeoffs have given rise to multi-distribution learning paradigms, such as collaborative learning, group distributionally robust…

Machine Learning · Computer Science 2024-04-04 Nika Haghtalab , Michael I. Jordan , Eric Zhao

Multi-distribution learning (MDL), which seeks to learn a shared model that minimizes the worst-case risk across $k$ distinct data distributions, has emerged as a unified framework in response to the evolving demand for robustness,…

Machine Learning · Computer Science 2025-08-12 Zihan Zhang , Wenhao Zhan , Yuxin Chen , Simon S. Du , Jason D. Lee

Deep learning based approaches have achieved significant progresses in different tasks like classification, detection, segmentation, and so on. Ensemble learning is widely known to further improve performance by combining multiple…

Computer Vision and Pattern Recognition · Computer Science 2019-05-17 Danlu Chen , Xu-Yao Zhang , Wei Zhang , Yao Lu , Xiuli Li , Tao Mei

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

Machine Learning · Computer Science 2024-12-18 Hongyu Shen , Zhizhen Zhao

While the state-of-the-art performance on entity resolution (ER) has been achieved by deep learning, its effectiveness depends on large quantities of accurately labeled training data. To alleviate the data labeling burden, Active Learning…

Machine Learning · Computer Science 2020-12-25 Youcef Nafa , Qun Chen , Zhaoqiang Chen , Xingyu Lu , Haiyang He , Tianyi Duan , Zhanhuai Li

We consider a new learning model in which a joint distribution over vector pairs $(x,y)$ is determined by an unknown function $c(x)$ that maps input vectors $x$ not to individual outputs, but to entire {\em distributions\/} over output…

Data Structures and Algorithms · Computer Science 2017-06-12 Michael Kearns , Zhiwei Steven Wu

Training energy-based models (EBMs) on high-dimensional data can be both challenging and time-consuming, and there exists a noticeable gap in sample quality between EBMs and other generative frameworks like GANs and diffusion models. To…

Machine Learning · Statistics 2024-11-12 Yaxuan Zhu , Jianwen Xie , Yingnian Wu , Ruiqi Gao

We introduce Feasible Learning (FL), a sample-centric learning paradigm where models are trained by solving a feasibility problem that bounds the loss for each training sample. In contrast to the ubiquitous Empirical Risk Minimization (ERM)…

In this age of Big Data, machine learning based data mining methods are extensively used to inspect large scale data sets. Deriving applicable predictive modeling from these type of data sets is a challenging obstacle because of their high…

Machine Learning · Computer Science 2015-04-14 Ferhat Özgür Çatak

In collaborative active learning, where multiple agents try to learn labels from a common hypothesis, we introduce an innovative framework for incentivized collaboration. Here, rational agents aim to obtain labels for their data sets while…

Computer Science and Game Theory · Computer Science 2023-11-02 Lee Cohen , Han Shao

We study several questions in the reliable agnostic learning framework of Kalai et al. (2009), which captures learning tasks in which one type of error is costlier than others. A positive reliable classifier is one that makes no false…

Machine Learning · Computer Science 2014-02-25 Varun Kanade , Justin Thaler