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We revisit heavy-tailed corrupted least-squares linear regression assuming to have a corrupted $n$-sized label-feature sample of at most $\epsilon n$ arbitrary outliers. We wish to estimate a $p$-dimensional parameter $b^*$ given such…

Statistics Theory · Mathematics 2022-09-08 Roberto I. Oliveira , Zoraida F. Rico , Philip Thompson

We propose a novel sample selection method for image classification in the presence of noisy labels. Existing methods typically consider small-loss samples as correctly labeled. However, some correctly labeled samples are inherently…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Weiran Pan , Wei Wei , Feida Zhu , Yong Deng

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

The performance of a machine learning system is usually evaluated by using i.i.d.\ observations with true labels. However, acquiring ground truth labels is expensive, while obtaining unlabeled samples may be cheaper. Stratified sampling can…

Machine Learning · Computer Science 2019-07-29 Tiancheng Yu , Xiyu Zhai , Suvrit Sra

Label smoothing is commonly used in training deep learning models, wherein one-hot training labels are mixed with uniform label vectors. Empirically, smoothing has been shown to improve both predictive performance and model calibration. In…

Machine Learning · Computer Science 2020-03-06 Michal Lukasik , Srinadh Bhojanapalli , Aditya Krishna Menon , Sanjiv Kumar

Sparse linear regression -- finding an unknown vector from linear measurements -- is now known to be possible with fewer samples than variables, via methods like the LASSO. We consider the multiple sparse linear regression problem, where…

Machine Learning · Computer Science 2012-02-28 Ali Jalali , Pradeep Ravikumar , Sujay Sanghavi

Pseudo-labeling is a commonly used paradigm in semi-supervised learning, yet its application to semi-supervised regression (SSR) remains relatively under-explored. Unlike classification, where pseudo-labels are discrete and confidence-based…

Machine Learning · Computer Science 2025-10-20 Xueqing Sun , Renzhen Wang , Quanziang Wang , Yichen Wu , Xixi Jia , Deyu Meng

Learning from noisy labels is an important and long-standing problem in machine learning for real applications. One of the main research lines focuses on learning a label corrector to purify potential noisy labels. However, these methods…

Machine Learning · Computer Science 2023-12-05 Jian Chen , Ruiyi Zhang , Tong Yu , Rohan Sharma , Zhiqiang Xu , Tong Sun , Changyou Chen

Linear regression with normally distributed errors - including particular cases such as ANOVA, Student's t-test or location-scale inference - is a widely used statistical procedure. In this case the ordinary least squares estimator…

Methodology · Statistics 2019-09-18 Alain Desgagné

We propose methods for estimating correspondence between two point sets under the presence of outliers in both the source and target sets. The proposed algorithms expand upon the theory of the regression without correspondence problem to…

Machine Learning · Statistics 2019-10-29 Amin Nejatbakhsh , Erdem Varol

Labor-intensive labeling becomes a bottleneck in developing computer vision algorithms based on deep learning. For this reason, dealing with imperfect labels has increasingly gained attention and has become an active field of study. We…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Heewon Kim , Hyun Sung Chang , Kiho Cho , Jaeyun Lee , Bohyung Han

Consider a regression problem where there is no labeled data and the only observations are the predictions $f_i(x_j)$ of $m$ experts $f_{i}$ over many samples $x_j$. With no knowledge on the accuracy of the experts, is it still possible to…

Machine Learning · Statistics 2017-03-09 Omer Dror , Boaz Nadler , Erhan Bilal , Yuval Kluger

We study the domain adaptation problem with label shift in this work. Under the label shift context, the marginal distribution of the label varies across the training and testing datasets, while the conditional distribution of features…

Machine Learning · Statistics 2023-05-31 Qinglong Tian , Xin Zhang , Jiwei Zhao

Consider linear regression where the examples are generated by an unknown distribution on $R^d\times R$. Without any assumptions on the noise, the linear least squares solution for any i.i.d. sample will typically be biased w.r.t. the least…

Machine Learning · Computer Science 2018-10-08 Michał Dereziński , Manfred K. Warmuth , Daniel Hsu

Training sample re-weighting is an effective approach for tackling data biases such as imbalanced and corrupted labels. Recent methods develop learning-based algorithms to learn sample re-weighting strategies jointly with model training…

Machine Learning · Computer Science 2021-09-08 Zizhao Zhang , Tomas Pfister

Stacking regressions is an ensemble technique that forms linear combinations of different regression estimators to enhance predictive accuracy. The conventional approach uses cross-validation data to generate predictions from the…

Machine Learning · Statistics 2024-10-10 Xin Chen , Jason M. Klusowski , Yan Shuo Tan

Noisy training set usually leads to the degradation of generalization and robustness of neural networks. In this paper, we propose using a theoretically guaranteed noisy label detection framework to detect and remove noisy data for Learning…

Machine Learning · Computer Science 2022-03-22 Yikai Wang , Xinwei Sun , Yanwei Fu

Neural networks are widespread due to their powerful performance. Yet, they degrade in the presence of noisy labels at training time. Inspired by the setting of learning with expert advice, where multiplicative weights (MW) updates were…

Machine Learning · Computer Science 2025-11-12 Noga Bar , Tomer Koren , Raja Giryes

We consider multi-label prediction problems with large output spaces under the assumption of output sparsity -- that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting…

Machine Learning · Computer Science 2009-06-02 Daniel Hsu , Sham M. Kakade , John Langford , Tong Zhang

As with many other problems, real-world regression is plagued by the presence of noisy labels, an inevitable issue that demands our attention. Fortunately, much real-world data often exhibits an intrinsic property of continuously ordered…

Machine Learning · Computer Science 2025-02-26 Chris Dongjoo Kim , Sangwoo Moon , Jihwan Moon , Dongyeon Woo , Gunhee Kim
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