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Partial multi-label learning (PML) models the scenario where each training instance is annotated with a set of candidate labels, and only some of the labels are relevant. The PML problem is practical in real-world scenarios, as it is…

Machine Learning · Computer Science 2020-03-18 Tingting Yu , Guoxian Yu , Jun Wang , Maozu Guo

Partial multi-label learning (PML), which tackles the problem of learning multi-label prediction models from instances with overcomplete noisy annotations, has recently started gaining attention from the research community. In this paper,…

Machine Learning · Computer Science 2020-06-08 Yan Yan , Yuhong Guo

We study the problem of PAC learning $\gamma$-margin halfspaces in the presence of Massart noise. Without computational considerations, the sample complexity of this learning problem is known to be $\widetilde{\Theta}(1/(\gamma^2…

Machine Learning · Computer Science 2025-01-17 Ilias Diakonikolas , Nikos Zarifis

Designing objective functions robust to label noise is crucial for real-world classification algorithms. In this paper, we investigate the robustness to label noise of an $f$-divergence-based class of objective functions recently proposed…

Machine Learning · Computer Science 2025-04-10 Nicola Novello , Andrea M. Tonello

We give a $2^{\tilde{O}(\sqrt{n}/\epsilon)}$-time algorithm for properly learning monotone Boolean functions under the uniform distribution over $\{0,1\}^n$. Our algorithm is robust to adversarial label noise and has a running time nearly…

Data Structures and Algorithms · Computer Science 2023-03-29 Jane Lange , Ronitt Rubinfeld , Arsen Vasilyan

Learning from noisy labels (LNL) is crucial in deep learning, in which one of the approaches is to identify clean-label samples from poorly-annotated datasets. Such an identification is challenging because the conventional LNL problem,…

Machine Learning · Computer Science 2025-09-26 Cuong Nguyen , Thanh-Toan Do , Gustavo Carneiro

Collecting large-scale data with clean labels for supervised training of neural networks is practically challenging. Although noisy labels are usually cheap to acquire, existing methods suffer a lot from label noise. This paper targets at…

Machine Learning · Computer Science 2020-06-16 Zizhao Zhang , Han Zhang , Sercan O. Arik , Honglak Lee , Tomas Pfister

Clustering and classification critically rely on distance metrics that provide meaningful comparisons between data points. We present mixed-integer optimization approaches to find optimal distance metrics that generalize the Mahalanobis…

Machine Learning · Computer Science 2018-03-29 Krishnan Kumaran , Dimitri Papageorgiou , Yutong Chang , Minhan Li , Martin Takáč

We consider the basic problem of learning Single-Index Models with respect to the square loss under the Gaussian distribution in the presence of adversarial label noise. Our main contribution is the first computationally efficient algorithm…

Machine Learning · Computer Science 2025-08-07 Puqian Wang , Nikos Zarifis , Ilias Diakonikolas , Jelena Diakonikolas

We study the algorithmic task of testably learning general Massart halfspaces under the Gaussian distribution. In the testable learning setting, the aim is the design of a tester-learner pair satisfying the following properties: (1) if the…

Data Structures and Algorithms · Computer Science 2026-02-27 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Sihan Liu

Online metric learning has been widely applied in classification and retrieval. It can automatically learn a suitable metric from data by restricting similar instances to be separated from dissimilar instances with a given margin. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Wenbin Li , Yanfang Liu , Jing Huo , Yinghuan Shi , Yang Gao , Lei Wang , Jiebo Luo

In linear distance metric learning, we are given data in one Euclidean metric space and the goal is to find an appropriate linear map to another Euclidean metric space which respects certain distance conditions as much as possible. In this…

Machine Learning · Computer Science 2023-12-22 Meysam Alishahi , Anna Little , Jeff M. Phillips

This paper proposes an inexpensive way to learn an effective dissimilarity function to be used for $k$-nearest neighbor ($k$-NN) classification. Unlike Mahalanobis metric learning methods that map both query (unlabeled) objects and labeled…

Machine Learning · Computer Science 2020-08-31 Yutaro Shigeto , Masashi Shimbo , Yuji Matsumoto

Many researches have been devoted to learn a Mahalanobis distance metric, which can effectively improve the performance of kNN classification. Most approaches are iterative and computational expensive and linear rigidity still critically…

Machine Learning · Computer Science 2013-11-14 Jianbo Ye

In recent years, the remarkable success of deep neural networks (DNNs) in computer vision is largely due to large-scale, high-quality labeled datasets. Training directly on real-world datasets with label noise may result in overfitting. The…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Yuandi Zhao , Qianxi Xia , Yang Sun , Zhijie Wen , Liyan Ma , Shihui Ying

We pose a fundamental question in computational learning theory: can we efficiently test whether a training set satisfies the assumptions of a given noise model? This question has remained unaddressed despite decades of research on learning…

Machine Learning · Computer Science 2026-05-11 Surbhi Goel , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

We study the problem of learning a mixture of two subspaces over $\mathbb{F}_2^n$. The goal is to recover the individual subspaces, given samples from a (weighted) mixture of samples drawn uniformly from the two subspaces $A_0$ and $A_1$.…

Data Structures and Algorithms · Computer Science 2021-02-16 Aidao Chen , Anindya De , Aravindan Vijayaraghavan

Large training datasets almost always contain examples with inaccurate or incorrect labels. Deep Neural Networks (DNNs) tend to overfit training label noise, resulting in poorer model performance in practice. To address this problem, we…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Chen Gong , Kong Bin , Eric J. Seibel , Xin Wang , Youbing Yin , Qi Song

We study the learnability of linear separators in $\Re^d$ in the presence of bounded (a.k.a Massart) noise. This is a realistic generalization of the random classification noise model, where the adversary can flip each example $x$ with…

Machine Learning · Computer Science 2015-03-13 Pranjal Awasthi , Maria-Florina Balcan , Nika Haghtalab , Ruth Urner

Deep neural network models are robust to a limited amount of label noise, but their ability to memorise noisy labels in high noise rate problems is still an open issue. The most competitive noisy-label learning algorithms rely on a 2-stage…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Filipe R. Cordeiro , Ragav Sachdeva , Vasileios Belagiannis , Ian Reid , Gustavo Carneiro
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