Early-Learning Regularization Prevents Memorization of Noisy Labels
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Abstract (arXiv)
We propose a novel framework to perform classification via deep learning in the presence of noisy annotations. When trained on noisy labels, deep neural networks have been observed to first fit the training data with clean labels during an "early learning" phase, before eventually memorizing the examples with false labels. We prove that early learning and memorization are fundamental phenomena in high-dimensional classification tasks, even in simple linear models, and give a theoretical explanation in this setting. Motivated by these findings, we develop a new technique for noisy classification tasks, which exploits the progress of the early learning phase. In contrast with existing approaches, which use the model output during early learning to detect the examples with clean labels, and either ignore or attempt to correct the false labels, we take a different route and instead capitalize on early learning via regularization. There are two key elements to our approach. First, we leverage semi-supervised learning techniques to produce target probabilities based on the model outputs. Second, we design a regularization term that steers the model towards these targets, implicitly preventing memorization of the false labels. The resulting framework is shown to provide robustness to noisy annotations on several standard benchmarks and real-world datasets, where it achieves results comparable to the state of the art.
Key facts. Cited by 414 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Jun 2020.
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Citing papers per year: 2021: 65; 2022: 86; 2023: 76; 2024: 74; 2025: 63; 2026: 50.
414 papers.
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- 2021Learning with Noisy Labels Revisited: A Study Using Real-World Human Annotationscited by 253
- 2021Deep Learning Through the Lens of Example Difficultycited by 139
- 2021Understanding and Improving Early Stopping for Learning with Noisy Labelscited by 112
- 2022Selective-Supervised Contrastive Learning with Noisy Labelscited by 112
- 2021Source-free Domain Adaptation via Avatar Prototype Generation and Adaptationcited by 111
- 2021Regularizing Generative Adversarial Networks under Limited Datacited by 105
- 2022Robust Training under Label Noise by Over-parameterizationcited by 93
- 2024Learning Dynamics of LLM Finetuningcited by 93
- 2021Augmentation Strategies for Learning with Noisy Labelscited by 86
- 2021FINE Samples for Learning with Noisy Labelscited by 82
- 2021Sample Selection with Uncertainty of Losses for Learning with Noisy Labelscited by 79
- 2022UNICON: Combating Label Noise Through Uniform Selection and Contrastive Learningcited by 77
38 more
- 2021Generalized Jensen-Shannon Divergence Loss for Learning with Noisy Labelscited by 74
- 2024MMPareto: Boosting Multimodal Learning with Innocent Unimodal Assistancecited by 72
- 2021To Smooth or Not? When Label Smoothing Meets Noisy Labelscited by 70
- 2021Contrast to Divide: Self-Supervised Pre-Training for Learning with Noisy Labelscited by 69
- 2021Learning Fast Sample Re-weighting Without Reward Datacited by 69
- 2023Can Neural Network Memorization Be Localized?cited by 66
- 2024Exponential Moving Average of Weights in Deep Learning: Dynamics and Benefitscited by 65
- 2021Adaptive Early-Learning Correction for Segmentation from Noisy Annotationscited by 61
- 2021On Memorization in Probabilistic Deep Generative Modelscited by 60
- 2021NGC: A Unified Framework for Learning with Open-World Noisy Datacited by 58
- 2021Detecting Corrupted Labels Without Training a Model to Predictcited by 57
- 2022Learning with Neighbor Consistency for Noisy Labelscited by 55
- 2022Instance-Dependent Label-Noise Learning with Manifold-Regularized Transition Matrix Estimationcited by 49
- 2023C-SFDA: A Curriculum Learning Aided Self-Training Framework for Efficient Source Free Domain Adaptationcited by 49
- 2021Self-Damaging Contrastive Learningcited by 48
- 2022ProMix: Combating Label Noise via Maximizing Clean Sample Utilitycited by 48
- 2022Investigating Why Contrastive Learning Benefits Robustness Against Label Noisecited by 46
- 2023When Source-Free Domain Adaptation Meets Learning with Noisy Labelscited by 46
- 2021Improved Regularization and Robustness for Fine-tuning in Neural Networkscited by 45
- 2021Active label cleaning for improved dataset quality under resource constraintscited by 44
- 2022Is one annotation enough? A data-centric image classification benchmark for noisy and ambiguous label estimationcited by 43
- 2021LongReMix: Robust Learning with High Confidence Samples in a Noisy Label Environmentcited by 40
- 2022Mitigating Memorization of Noisy Labels by Clipping the Model Predictioncited by 40
- 2022Large Loss Matters in Weakly Supervised Multi-Label Classificationcited by 38
- 2022Characterizing Datapoints via Second-Split Forgettingcited by 37
- 2021Contrastive Learning Improves Model Robustness Under Label Noisecited by 36
- 2021Towards Understanding Deep Learning from Noisy Labels with Small-Loss Criterioncited by 36
- 2022Robust Fine-Tuning of Deep Neural Networks with Hessian-based Generalization Guaranteescited by 34
- 2022Self-Filtering: A Noise-Aware Sample Selection for Label Noise with Confidence Penalizationcited by 33
- 2021Memorisation versus Generalisation in Pre-trained Language Modelscited by 32
- 2022Domain Adaptation under Open Set Label Shiftcited by 32
- 2022Avoiding spurious correlations via logit correctioncited by 32
- 2024Measuring and Reducing LLM Hallucination without Gold-Standard Answerscited by 31
- 2021Estimating Instance-dependent Bayes-label Transition Matrix using a Deep Neural Networkcited by 30
- 2022Joint-Modal Label Denoising for Weakly-Supervised Audio-Visual Video Parsingcited by 29
- 2022To Aggregate or Not? Learning with Separate Noisy Labelscited by 29
- 2021The Rich Get Richer: Disparate Impact of Semi-Supervised Learningcited by 28
- 2022Uncertainty-Aware Learning Against Label Noise on Imbalanced Datasetscited by 28
50 most cited of 414 All 414 (JSON)
- 2026Scalable, Transferable Meta-network for Data Selection Requires a Different Loss (and Why the Obvious Choice is Problematic)1 Oct 2026
- 2026Selective Posterior Margin Regularization for Forward-Corrected Classification5 Sep 2026
- 2026Rethinking the Teacher-Student Framework for Test-Time Adaptation2 Sep 2026
- 2026Measuring Memory and Generalization as Separable Geometric Channels: The Topo^2 Framework31 Aug 2026
- 2026CONFER: Conflict-Aware Evidence Negotiation for Regime-Calibrated Weak Supervision in Multimodal Emotion Recognition8 Aug 2026
- 2026XMix: Combating Extremely Noisy Labels via Local Smoothness in Self-Supervised Feature Space26 Jul 2026
- 2026Fisher Rank Inflation: A Spectral Signature of Memorization under Label Noise14 Jul 2026
- 2026SLT: Robust Quantum Neural Networks for Noisy-Label Medical Image Classification via Supermartingale-based Label Transition13 Jul 2026
- 2026Random Label Prediction Heads for Studying Memorization in Deep Neural Networks13 Jul 2026
- 2026Align and Segment: Unsupervised Learning for Building Segmentation From Misaligned Labels12 Jul 2026
- 2026Robust Trajectory Distillation: Hybrid Reweighting Meets Teacher-Inspired Targets29 Jun 2026
- 2026Do Safety Guardrails Need to Reason? LeanGuard: A Fast and Light Approach for Robust Moderation25 Jun 2026
38 more
- 2026Orthogonal Gradient Constraints Shape Noisy-Label Memorization Dynamics24 Jun 2026
- 2026Neural Bayesian Anomaly Mitigation: A Robust Loss that Doubles as an Unsupervised Contamination Classifier15 Jun 2026
- 2026An Adaptive Data cleaning Framework for Noisy Label Detection5 Jun 2026
- 2026On Revisiting Entropy for Identifying Mislabeled Images29 May 2026
- 2026Where LLM Annotators Fail: Label-Free Learning on Graphs with LLMs27 May 2026
- 2026Memory-Distilled Selection for Noise-Robust Anomaly Detection26 May 2026
- 2026Batch Normalization Amplifies Memorization and Privacy Risks23 May 2026
- 2026TaxDistill: Improving Metagenomic Taxonomic Annotation via Distilled Genomic Foundation Models22 May 2026
- 2026CARE: Class-Adaptive Expert Consensus for Reliable Learning with Long-Tailed Noisy Labels22 May 2026
- 2026Rethinking Noise-Robust Training for Frozen Vision Foundation Models: A Cross-Dataset Benchmark with a Case Study of Small-Loss Failure21 May 2026
- 2026Symmetrization of Loss Functions for Robust Training of Neural Networks in the Presence of Noisy Labels19 May 2026
- 2026Efficient Bilevel Optimization for Meta Label Correction in Noisy Label Learning18 May 2026
- 2026Radial-Angular Geometry for Reliable Update Diagnosis in Noisy-Label Learning17 May 2026
- 2026Theory-optimal Quantization Based on Flatness11 May 2026
- 2026Disagreement-Regularized Importance Sampling for Adversarial Label Corruption8 May 2026
- 2026Learning from Imperfect Text Guidance: Robust Long-Tail Visual Recognition with High-Noise Label25 Apr 2026
- 2026FedSIR: Spectral Client Identification and Relabeling for Federated Learning with Noisy Labels22 Apr 2026
- 2026FB-NLL: A Feature-Based Approach to Tackle Noisy Labels in Personalized Federated Learning21 Apr 2026
- 2026Analyzing the Effect of Noise in LLM Fine-tuning14 Apr 2026
- 2026Towards Multi-Source Domain Generalization for Sleep Staging with Noisy Labels11 Apr 2026
- 2026Beyond Loss Values: Robust Dynamic Pruning via Loss Trajectory Alignment8 Apr 2026
- 2026Conformal Margin Risk Minimization: An Envelope Framework for Robust Learning under Label Noise7 Apr 2026
- 2026Dual-branch Graph Domain Adaptation for Cross-scenario Multi-modal Emotion Recognition27 Mar 2026
- 2026On the Dynamics & Transferability of Latent Generalization during Memorization20 Mar 2026
- 2026FedRG: Unleashing the Representation Geometry for Federated Learning with Noisy Clients20 Mar 2026
- 2026ProCal: Probability Calibration for Neighborhood-Guided Source-Free Domain Adaptation19 Mar 2026
- 2026Variational Rectification Inference for Learning with Noisy Labels18 Mar 2026
- 2026An assessment of data-centric methods for label noise identification in remote sensing data sets17 Mar 2026
- 2026ACD-U: Asymmetric co-teaching with machine unlearning for robust learning with noisy labels7 Mar 2026
- 2026FastBUS: A Fast Bayesian Framework for Unified Weakly-Supervised Learning28 Feb 2026
- 2026Geometric Manifold Rectification for Imbalanced Learning13 Feb 2026
- 2026Analyzing Fairness of Neural Network Prediction via Counterfactual Dataset Generation11 Feb 2026
- 2026NCSAM Noise-Compensated Sharpness-Aware Minimization for Noisy Label Learning24 Jan 2026
- 2026Why LoRA Resists Label Noise: A Theoretical Framework for Noise-Robust Parameter-Efficient Fine-Tuning22 Jan 2026
- 2026Combating Noisy Labels through Fostering Self- and Neighbor-Consistency19 Jan 2026
- 2026Noise-Adaptive Regularization for Robust Multi-Label Remote Sensing Image Classification13 Jan 2026
- 2026Deep Exploration of Epoch-wise Double Descent in Noisy Data: Signal Separation, Large Activation, and Benign Overfitting13 Jan 2026
- 2026L2CU: Learning to Complement Unseen Users3 Jan 2026
50 newest of 414 All 414 (JSON)
- 2024Memorized Images in Diffusion Models share a Subspace that can be Located and Deletedcited by 13
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Modelscited by 9
- 2025Guiding Noisy Label Conditional Diffusion Models with Score-based Discriminator Correctioncited by 3
- 2025Robust Learning of Diffusion Models with Extremely Noisy Conditionscited by 2
- 2025When Preferences Diverge: Aligning Diffusion Models with Minority-Aware Adaptive DPOcited by 1
- 2025Learning Robust Diffusion Models from Imprecise Supervisioncited by 0
- 2025Robust Learning of Diffusion Models with Extremely Noisy Conditions11 Oct 2025
- 2025Learning Robust Diffusion Models from Imprecise Supervision3 Oct 2025
- 2025Guiding Noisy Label Conditional Diffusion Models with Score-based Discriminator Correction27 Aug 2025
- 2025When Preferences Diverge: Aligning Diffusion Models with Minority-Aware Adaptive DPO21 Mar 2025
- 2024Memorized Images in Diffusion Models share a Subspace that can be Located and Deleted1 Jun 2024
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Models30 May 2024
- 2024Vision-Language Models are Strong Noisy Label Detectorscited by 16
- 2025Sanitizing Manufacturing Dataset Labels Using Vision-Language Modelscited by 6
- 2024VLM-CPL: Consensus Pseudo Labels from Vision-Language Models for Annotation-Free Pathological Image Classificationcited by 5
- 2025Human-Corrected Labels Learning: Enhancing Labels Quality via Human Correction of VLMs Discrepanciescited by 0
- 2025Human-Corrected Labels Learning: Enhancing Labels Quality via Human Correction of VLMs Discrepancies12 Nov 2025
- 2025Sanitizing Manufacturing Dataset Labels Using Vision-Language Models30 Jun 2025
- 2024Vision-Language Models are Strong Noisy Label Detectors29 Sep 2024
- 2024VLM-CPL: Consensus Pseudo Labels from Vision-Language Models for Annotation-Free Pathological Image Classification23 Mar 2024
- 2025Classifying Long-tailed and Label-noise Data via Disentangling and Unlearningcited by 2
- 2025COLUR: Confidence-Oriented Learning, Unlearning and Relearning with Noisy-Label Data for Model Restoration and Refinementcited by 0
- 2025Subtract the Corruption: Training-Data-Free Corrective Machine Unlearning using Task Arithmeticcited by 0
- 2026ACD-U: Asymmetric co-teaching with machine unlearning for robust learning with noisy labelscited by 0
- 2026ACD-U: Asymmetric co-teaching with machine unlearning for robust learning with noisy labels7 Mar 2026
- 2025Subtract the Corruption: Training-Data-Free Corrective Machine Unlearning using Task Arithmetic24 Nov 2025
- 2025COLUR: Confidence-Oriented Learning, Unlearning and Relearning with Noisy-Label Data for Model Restoration and Refinement24 Jun 2025
- 2025Classifying Long-tailed and Label-noise Data via Disentangling and Unlearning14 Mar 2025
- 2024Learning Dynamics of LLM Finetuningcited by 93
- 2024ROPO: Robust Preference Optimization for Large Language Modelscited by 16
- 2024Learning Dynamics of LLM Finetuning15 Jul 2024
- 2024ROPO: Robust Preference Optimization for Large Language Models5 Apr 2024
- 2021Learning with Noisy Labels Revisited: A Study Using Real-World Human Annotationscited by 253
- 2021Deep Learning Through the Lens of Example Difficultycited by 139
- 2021Understanding and Improving Early Stopping for Learning with Noisy Labelscited by 112
- 2022Selective-Supervised Contrastive Learning with Noisy Labelscited by 112
- 2021Source-free Domain Adaptation via Avatar Prototype Generation and Adaptationcited by 111
- 2021Regularizing Generative Adversarial Networks under Limited Datacited by 105
- 2022Robust Training under Label Noise by Over-parameterizationcited by 93
- 2021Augmentation Strategies for Learning with Noisy Labelscited by 86
- 2021FINE Samples for Learning with Noisy Labelscited by 82
- 2021Sample Selection with Uncertainty of Losses for Learning with Noisy Labelscited by 79
- 2022UNICON: Combating Label Noise Through Uniform Selection and Contrastive Learningcited by 77
- 2021Generalized Jensen-Shannon Divergence Loss for Learning with Noisy Labelscited by 74
12 most cited of 396 All 396 (JSON)
- 2026Scalable, Transferable Meta-network for Data Selection Requires a Different Loss (and Why the Obvious Choice is Problematic)1 Oct 2026
- 2026Selective Posterior Margin Regularization for Forward-Corrected Classification5 Sep 2026
- 2026Rethinking the Teacher-Student Framework for Test-Time Adaptation2 Sep 2026
- 2026Measuring Memory and Generalization as Separable Geometric Channels: The Topo^2 Framework31 Aug 2026
- 2026CONFER: Conflict-Aware Evidence Negotiation for Regime-Calibrated Weak Supervision in Multimodal Emotion Recognition8 Aug 2026
- 2026XMix: Combating Extremely Noisy Labels via Local Smoothness in Self-Supervised Feature Space26 Jul 2026
- 2026Fisher Rank Inflation: A Spectral Signature of Memorization under Label Noise14 Jul 2026
- 2026SLT: Robust Quantum Neural Networks for Noisy-Label Medical Image Classification via Supermartingale-based Label Transition13 Jul 2026
- 2026Random Label Prediction Heads for Studying Memorization in Deep Neural Networks13 Jul 2026
- 2026Align and Segment: Unsupervised Learning for Building Segmentation From Misaligned Labels12 Jul 2026
- 2026Robust Trajectory Distillation: Hybrid Reweighting Meets Teacher-Inspired Targets29 Jun 2026
- 2026Orthogonal Gradient Constraints Shape Noisy-Label Memorization Dynamics24 Jun 2026
12 newest of 396 All 396 (JSON)