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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

Partial-label learning is a kind of weakly-supervised learning with inexact labels, where for each training example, we are given a set of candidate labels instead of only one true label. Recently, various approaches on partial-label…

Machine Learning · Computer Science 2022-08-30 Zhenguo Wu , Jiaqi Lv , Masashi Sugiyama

Noisy labels are an unavoidable consequence of labeling processes and detecting them is an important step towards preventing performance degradations in Convolutional Neural Networks. Discarding noisy labels avoids a harmful memorization,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Diego Ortego , Eric Arazo , Paul Albert , Noel E. O'Connor , Kevin McGuinness

We study the task of agnostic learning of multiclass linear classifiers under the Gaussian distribution. Given labeled examples $(x, y)$ from a distribution over $\mathbb{R}^d \times [k]$, with Gaussian $x$-marginal, the goal is to output a…

Machine Learning · Computer Science 2026-05-21 Ilias Diakonikolas , Giannis Iakovidis , Mingchen Ma

We develop a technique to design efficiently computable estimators for sparse linear regression in the simultaneous presence of two adversaries: oblivious and adaptive. We design several robust algorithms that outperform the state of the…

Machine Learning · Computer Science 2024-11-01 Chih-Hung Liu , Gleb Novikov

This paper is concerned with learning binary classifiers under adversarial label-noise. We introduce the problem of error-correction in learning where the goal is to recover the original clean data from a label-manipulated version of it,…

Machine Learning · Computer Science 2013-01-11 Srivatsan Laxman , Sushil Mittal , Ramarathnam Venkatesan

Semi-supervised learning methods are usually employed in the classification of data sets where only a small subset of the data items is labeled. In these scenarios, label noise is a crucial issue, since the noise may easily spread to a…

Machine Learning · Computer Science 2020-02-14 Fabricio Aparecido Breve , Liang Zhao , Marcos Gonçalves Quiles

We describe and analyze a new algorithm for agnostically learning kernel-based halfspaces with respect to the \emph{zero-one} loss function. Unlike most previous formulations which rely on surrogate convex loss functions (e.g. hinge-loss in…

Machine Learning · Computer Science 2010-08-03 Shai Shalev-Shwartz , Ohad Shamir , Karthik Sridharan

In this work, we give the first algorithms for tolerant testing of nontrivial classes in the active model: estimating the distance of a target function to a hypothesis class C with respect to some arbitrary distribution D, using only a…

Machine Learning · Statistics 2017-11-02 Avrim Blum , Lunjia Hu

We address the problem of active logistic regression in the realizable setting. It is well known that active learning can require exponentially fewer label queries compared to passive learning, in some cases using $\log \frac{1}{\eps}$…

Machine Learning · Computer Science 2025-04-21 Yihan Zhou , Eric Price , Trung Nguyen

Deep learning with noisy labels presents significant challenges. In this work, we theoretically characterize the role of label noise from a feature learning perspective. Specifically, we consider a signal-noise data distribution, where each…

Machine Learning · Statistics 2025-05-27 Andi Han , Wei Huang , Zhanpeng Zhou , Gang Niu , Wuyang Chen , Junchi Yan , Akiko Takeda , Taiji Suzuki

Large datasets in NLP suffer from noisy labels, due to erroneous automatic and human annotation procedures. We study the problem of text classification with label noise, and aim to capture this noise through an auxiliary noise model over…

Computation and Language · Computer Science 2022-06-22 Siddhant Garg , Goutham Ramakrishnan , Varun Thumbe

We show that label noise exists in adversarial training. Such label noise is due to the mismatch between the true label distribution of adversarial examples and the label inherited from clean examples - the true label distribution is…

Machine Learning · Computer Science 2023-10-17 Chengyu Dong , Liyuan Liu , Jingbo Shang

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

Deep Neural Networks (DNNs) have been shown to be susceptible to memorization or overfitting in the presence of noisily-labelled data. For the problem of robust learning under such noisy data, several algorithms have been proposed. A…

Machine Learning · Computer Science 2022-12-06 Deep Patel , P. S. Sastry

We introduce a simple framework for designing private boosting algorithms. We give natural conditions under which these algorithms are differentially private, efficient, and noise-tolerant PAC learners. To demonstrate our framework, we use…

Machine Learning · Computer Science 2020-02-05 Mark Bun , Marco Leandro Carmosino , Jessica Sorrell

Noisy labels are ubiquitous in real-world datasets, which poses a challenge for robustly training deep neural networks (DNNs) as DNNs usually have the high capacity to memorize the noisy labels. In this paper, we find that the test accuracy…

Machine Learning · Computer Science 2019-05-14 Pengfei Chen , Benben Liao , Guangyong Chen , Shengyu Zhang

We propose a new approach to address the text classification problems when learning with partial labels is beneficial. Instead of offering each training sample a set of candidate labels, we assign negative-oriented labels to the ambiguous…

Machine Learning · Statistics 2019-06-11 Jiangning Chen , Zhibo Dai , Juntao Duan , Qianli Hu , Ruilin Li , Heinrich Matzinger , Ionel Popescu , Haoyan Zhai

We provide efficient replicable algorithms for the problem of learning large-margin halfspaces. Our results improve upon the algorithms provided by Impagliazzo, Lei, Pitassi, and Sorrell [STOC, 2022]. We design the first…

Machine Learning · Computer Science 2025-10-15 Alkis Kalavasis , Amin Karbasi , Kasper Green Larsen , Grigoris Velegkas , Felix Zhou

We study the problem of {\em properly} learning large margin halfspaces in the agnostic PAC model. In more detail, we study the complexity of properly learning $d$-dimensional halfspaces on the unit ball within misclassification error…

Machine Learning · Computer Science 2019-08-30 Ilias Diakonikolas , Daniel M. Kane , Pasin Manurangsi
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