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We study the problem of agnostically learning halfspaces which is defined by a fixed but unknown distribution $\mathcal{D}$ on $\mathbb{Q}^n\times \{\pm 1\}$. We define $\mathrm{Err}_{\mathrm{HALF}}(\mathcal{D})$ as the least error of a…

Computational Complexity · Computer Science 2016-03-15 Amit Daniely

We study active learning where the labeler can not only return incorrect labels but also abstain from labeling. We consider different noise and abstention conditions of the labeler. We propose an algorithm which utilizes abstention…

Machine Learning · Computer Science 2016-11-01 Songbai Yan , Kamalika Chaudhuri , Tara Javidi

Deep active learning has emerged as a powerful tool for training deep learning models within a predefined labeling budget. These models have achieved performances comparable to those trained in an offline setting. However, deep active…

Machine Learning · Computer Science 2023-09-21 Moseli Mots'oehli , Kyungim Baek

Labelled data often comes at a high cost as it may require recruiting human labelers or running costly experiments. At the same time, in many practical scenarios, one already has access to a partially labelled, potentially biased dataset…

Machine Learning · Computer Science 2021-06-15 Fnu Devvrit , Nived Rajaraman , Pranjal Awasthi

We study the problem of PAC learning $\gamma$-margin halfspaces with Random Classification Noise. We establish an information-computation tradeoff suggesting an inherent gap between the sample complexity of the problem and the sample…

Machine Learning · Computer Science 2023-06-29 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Puqian Wang , Nikos Zarifis

Deep neural networks have reached high accuracy on object detection but their success hinges on large amounts of labeled data. To reduce the labels dependency, various active learning strategies have been proposed, typically based on the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ismail Elezi , Zhiding Yu , Anima Anandkumar , Laura Leal-Taixe , Jose M. Alvarez

Label noise is ubiquitous in real-world scenarios, posing a practical challenge to supervised models due to its effect in hurting the generalization performance of deep neural networks. Existing methods primarily employ the sample selection…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Mengmeng Sheng , Zeren Sun , Tao Chen , Shuchao Pang , Yucheng Wang , Yazhou Yao

We present an approach that improves the sample complexity for a variety of curve fitting problems, including active learning for linear regression, polynomial regression, and continuous sparse Fourier transforms. In the active linear…

Machine Learning · Computer Science 2019-03-25 Xue Chen , Eric Price

Active learning is a learning strategy whereby the machine learning algorithm actively identifies and labels data points to optimize its learning. This strategy is particularly effective in domains where an abundance of unlabeled data…

Machine Learning · Computer Science 2024-03-05 Zan-Kai Chong , Hiroyuki Ohsaki , Bryan Ng

We investigate the generalization properties of a self-training algorithm with halfspaces. The approach learns a list of halfspaces iteratively from labeled and unlabeled training data, in which each iteration consists of two steps:…

Machine Learning · Computer Science 2022-02-16 Lies Hadjadj , Massih-Reza Amini , Sana Louhichi , Alexis Deschamps

Image classification systems recently made a giant leap with the advancement of deep neural networks. However, these systems require an excessive amount of labeled data to be adequately trained. Gathering a correctly annotated dataset is…

Machine Learning · Computer Science 2021-01-19 Görkem Algan , Ilkay Ulusoy

We analyze the properties of adversarial training for learning adversarially robust halfspaces in the presence of agnostic label noise. Denoting $\mathsf{OPT}_{p,r}$ as the best robust classification error achieved by a halfspace that is…

Machine Learning · Computer Science 2021-04-20 Difan Zou , Spencer Frei , Quanquan Gu

To discover intrinsic inter-class transition probabilities underlying data, learning with noise transition has become an important approach for robust deep learning on corrupted labels. Prior methods attempt to achieve such transition…

Machine Learning · Computer Science 2020-06-15 Jun Shu , Qian Zhao , Zongben Xu , Deyu Meng

Attribute-efficient PAC learning of sparse halfspaces has been a fundamental problem in machine learning theory. In recent years, machine learning algorithms are faced with prevalent data corruptions or even malicious attacks. It is of…

Machine Learning · Computer Science 2026-03-06 Shiwei Zeng , Jie Shen

In binary classification framework, we are interested in making cost sensitive label predictions in the presence of uniform/symmetric label noise. We first observe that $0$-$1$ Bayes classifiers are not (uniform) noise robust in cost…

Machine Learning · Computer Science 2020-01-13 Sandhya Tripathi , N. Hemachandra

In learning tasks with label noise, improving model robustness against overfitting is a pivotal challenge because the model eventually memorizes labels, including the noisy ones. Identifying the samples with noisy labels and preventing the…

Machine Learning · Computer Science 2023-09-28 Reihaneh Torkzadehmahani , Reza Nasirigerdeh , Daniel Rueckert , Georgios Kaissis

Active learning (AL) combines data labeling and model training to minimize the labeling cost by prioritizing the selection of high value data that can best improve model performance. In pool-based active learning, accessible unlabeled data…

Machine Learning · Computer Science 2020-07-21 Mingfei Gao , Zizhao Zhang , Guo Yu , Sercan O. Arik , Larry S. Davis , Tomas Pfister

Active learning is a paradigm aimed at reducing the annotation effort by training the model on actively selected informative and/or representative samples. Another paradigm to reduce the annotation effort is self-training that learns from a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Javad Zolfaghari Bengar , Joost van de Weijer , Bartlomiej Twardowski , Bogdan Raducanu

Agnostic learning of Boolean halfspaces is a fundamental problem in computational learning theory, but it is known to be computationally hard even for weak learning. Recent work [CKKMK24] proposed smoothed analysis as a way to bypass such…

Machine Learning · Computer Science 2025-11-25 Yiwen Kou , Raghu Meka

Label noise in training data can significantly degrade a model's generalization performance for supervised learning tasks. Here we focus on the problem that noisy labels are primarily mislabeled samples, which tend to be concentrated near…

Machine Learning · Computer Science 2021-03-16 Hao-Chiang Shao , Hsin-Chieh Wang , Weng-Tai Su , Chia-Wen Lin
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