Papers › Scalable Penalized Regression for Noise Detection in Learning with Noisy Labels

Scalable Penalized Regression for Noise Detection in Learning with Noisy Labels

15 Mar 2022CVPR 2022 1arXiv:2203.07788archive 2025-07-28

Yikai Wang, Xinwei Sun, Yanwei Fu

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 with Noisy Labels (LNL). Specifically, we design a penalized regression to model the linear relation between network features and one-hot labels, where the noisy data are identified by the non-zero mean shift parameters solved in the regression model. To make the framework scalable to datasets that contain a large number of categories and training data, we propose a split algorithm to divide the whole training set into small pieces that can be solved by the penalized regression in parallel, leading to the Scalable Penalized Regression (SPR) framework. We provide the non-asymptotic probabilistic condition for SPR to correctly identify the noisy data. While SPR can be regarded as a sample selection module for standard supervised training pipeline, we further combine it with semi-supervised algorithm to further exploit the support of noisy data as unlabeled data. Experimental results on several benchmark datasets and real-world noisy datasets show the effectiveness of our framework. Our code and pretrained models are released at https://github.com/Yikai-Wang/SPR-LNL.

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Tasks

Image ClassificationLearning with noisy labelsregression

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification Clothing1M SPR Accuracy 71.16% #42 of 51 Archive leaderboard report
Learning with noisy labels ANIMAL SPR Accuracy 86.8 #7 of 19 Archive leaderboard report
Learning with noisy labels ANIMAL SPR ImageNet Pretrained NO #7 of 19 Archive leaderboard report
Learning with noisy labels ANIMAL SPR Network VGG19-BN #7 of 19 Archive leaderboard report
Learning with noisy labels Clothing1M SPR Test Accuracy 71.16 #5 of 5 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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