Curriculum Loss: Robust Learning and Generalization against Label Corruption
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Abstract (arXiv)
Deep neural networks (DNNs) have great expressive power, which can even memorize samples with wrong labels. It is vitally important to reiterate robustness and generalization in DNNs against label corruption. To this end, this paper studies the 0-1 loss, which has a monotonic relationship with an empirical adversary (reweighted) risk~citephu2016does. Although the 0-1 loss has some robust properties, it is difficult to optimize. To efficiently optimize the 0-1 loss while keeping its robust properties, we propose a very simple and efficient loss, i.e. curriculum loss (CL). Our CL is a tighter upper bound of the 0-1 loss compared with conventional summation based surrogate losses. Moreover, CL can adaptively select samples for model training. As a result, our loss can be deemed as a novel perspective of curriculum sample selection strategy, which bridges a connection between curriculum learning and robust learning. Experimental results on benchmark datasets validate the robustness of the proposed loss.
Key facts. Cited by 87 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 May 2019.
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Citing papers per year: 2021: 30; 2022: 19; 2023: 19; 2024: 12; 2025: 3; 2026: 4.
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- 2021Understanding and Improving Early Stopping for Learning with Noisy Labelscited by 112
- 2021Sample Selection with Uncertainty of Losses for Learning with Noisy Labelscited by 79
- 2023IM-IAD: Industrial Image Anomaly Detection Benchmark in Manufacturingcited by 64
- 2021Learning Noise Transition Matrix from Only Noisy Labels via Total Variation Regularizationcited by 62
- 2021Open-set Label Noise Can Improve Robustness Against Inherent Label Noisecited by 58
- 2022Instance-Dependent Label-Noise Learning with Manifold-Regularized Transition Matrix Estimationcited by 49
- 2021Asymmetric Loss Functions for Learning with Noisy Labelscited by 46
- 2024RIME: Robust Preference-based Reinforcement Learning with Noisy Preferencescited by 37
- 2021Estimating Instance-dependent Bayes-label Transition Matrix using a Deep Neural Networkcited by 30
- 2021Continual Learning on Noisy Data Streams via Self-Purified Replaycited by 27
- 2022CLNode: Curriculum Learning for Node Classificationcited by 24
- 2021Learning with Noisy Labels for Robust Point Cloud Segmentationcited by 22
38 more
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- 2023SILT: Shadow-aware Iterative Label Tuning for Learning to Detect Shadows from Noisy Labelscited by 19
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- 2023Learning to Segment from Noisy Annotations: A Spatial Correction Approachcited by 16
- 2021Uncertainty-aware Clustering for Unsupervised Domain Adaptive Object Re-identificationcited by 15
- 2022Scalable Penalized Regression for Noise Detection in Learning with Noisy Labelscited by 15
- 2021Improving Medical Image Classification with Label Noise Using Dual-uncertainty Estimationcited by 13
- 2021Model Generalization on COVID-19 Fake News Detectioncited by 11
- 2021On the Robustness of Monte Carlo Dropout Trained with Noisy Labelscited by 11
- 2021SENT: Sentence-level Distant Relation Extraction via Negative Trainingcited by 10
- 2022PADDLES: Phase-Amplitude Spectrum Disentangled Early Stopping for Learning with Noisy Labelscited by 10
- 2021Evaluating Multi-label Classifiers with Noisy Labelscited by 9
- 2021CCMN: A General Framework for Learning with Class-Conditional Multi-Label Noisecited by 9
- 2022Instance-dependent Label Distribution Estimation for Learning with Label Noisecited by 9
- 2023Latent Class-Conditional Noise Modelcited by 9
- 2024AIO2: Online Correction of Object Labels for Deep Learning with Incomplete Annotation in Remote Sensing Image Segmentationcited by 9
- 2024NLPrompt: Noise-Label Prompt Learning for Vision-Language Modelscited by 9
- 2021Sample Prior Guided Robust Model Learning to Suppress Noisy Labelscited by 8
- 2023Regularly Truncated M-estimators for Learning with Noisy Labelscited by 8
- 2024Tackling Noisy Labels with Network Parameter Additive Decompositioncited by 8
- 2024Estimating Noisy Class Posterior with Part-level Labels for Noisy Label Learningcited by 7
- 2021Truth Discovery in Sequence Labels from Crowdscited by 6
- 2022Less is More: Adaptive Curriculum Learning for Thyroid Nodule Diagnosiscited by 6
- 2022Robust Point Cloud Segmentation with Noisy Annotationscited by 6
- 2024Mitigating Label Noise on Graph via Topological Sample Selectioncited by 6
- 2022DiscrimLoss: A Universal Loss for Hard Samples and Incorrect Samples Discriminationcited by 5
- 2022A Survey of Dataset Refinement for Problems in Computer Vision Datasetscited by 5
- 2021Learning to Combat Noisy Labels via Classification Marginscited by 4
- 2021Multiplicative Reweighting for Robust Neural Network Optimizationcited by 4
- 2021Co-matching: Combating Noisy Labels by Augmentation Anchoringcited by 4
- 2021On Universal Black-Box Domain Adaptationcited by 4
- 2022Prototype-Anchored Learning for Learning with Imperfect Annotationscited by 4
- 2022Truncate-Split-Contrast: A Framework for Learning from Mislabeled Videoscited by 4
- 2021Approximating Instance-Dependent Noise via Instance-Confidence Embeddingcited by 3
- 2021How Does Heterogeneous Label Noise Impact Generalization in Neural Nets?cited by 3
- 2021Batch Inverse-Variance Weighting: Deep Heteroscedastic Regressioncited by 3
- 2021Elucidating Robust Learning with Uncertainty-Aware Corruption Pattern Estimationcited by 3
- 2023Improve Noise Tolerance of Robust Loss via Noise-Awarenesscited by 3
50 most cited of 87 All 87 (JSON)
- 2026TecoPrompt: Temporal-Conservative Prompt Learning for Vision-Language Models15 Sep 2026
- 2026Stochastic Order Learning: An Approach to Rank Estimation Using Noisy Data9 Jul 2026
- 2026Robust Trajectory Distillation: Hybrid Reweighting Meets Teacher-Inspired Targets29 Jun 2026
- 2026Beyond Loss Values: Robust Dynamic Pruning via Loss Trajectory Alignment8 Apr 2026
- 2025Effects of Initialization Biases on Deep Neural Network Training Dynamics25 Nov 2025
- 2025Hard Samples, Bad Labels: Robust Loss Functions That Know When to Back Off20 Nov 2025
- 2025Tackling the Noisy Elephant in the Room: Label Noise-robust Out-of-Distribution Detection via Loss Correction and Low-rank Decomposition8 Sep 2025
- 2024NLPrompt: Noise-Label Prompt Learning for Vision-Language Models2 Dec 2024
- 2024Informed Deep Abstaining Classifier: Investigating noise-robust training for diagnostic decision support systems28 Oct 2024
- 2024Implicit to Explicit Entropy Regularization: Benchmarking ViT Fine-tuning under Noisy Labels5 Oct 2024
- 2024Robust Loss Functions for Object Grasping under Limited Ground Truth9 Sep 2024
- 2024Learning from Noisy Labels for Long-tailed Data via Optimal Transport7 Aug 2024
38 more
- 2024Relation Modeling and Distillation for Learning with Noisy Labels30 May 2024
- 2024Estimating Noisy Class Posterior with Part-level Labels for Noisy Label Learning8 May 2024
- 2024Tackling Noisy Labels with Network Parameter Additive Decomposition20 Mar 2024
- 2024Mitigating Label Noise on Graph via Topological Sample Selection4 Mar 2024
- 2024AIO2: Online Correction of Object Labels for Deep Learning with Incomplete Annotation in Remote Sensing Image Segmentation3 Mar 2024
- 2024On the use of Silver Standard Data for Zero-shot Classification Tasks in Information Extraction28 Feb 2024
- 2024RIME: Robust Preference-based Reinforcement Learning with Noisy Preferences27 Feb 2024
- 2023Robust Loss Functions for Training Decision Trees with Noisy Labels20 Dec 2023
- 2023ProcSim: Proxy-based Confidence for Robust Similarity Learning1 Nov 2023
- 2023Learning with Noisy Labels Using Collaborative Sample Selection and Contrastive Semi-Supervised Learning24 Oct 2023
- 2023Robust-GBDT: GBDT with Nonconvex Loss for Tabular Classification in the Presence of Label Noise and Class Imbalance8 Oct 2023
- 2023Regularly Truncated M-estimators for Learning with Noisy Labels2 Sep 2023
- 2023Late Stopping: Avoiding Confidently Learning from Mislabeled Examples26 Aug 2023
- 2023SILT: Shadow-aware Iterative Label Tuning for Learning to Detect Shadows from Noisy Labels23 Aug 2023
- 2023FPR Estimation for Fraud Detection in the Presence of Class-Conditional Label Noise4 Aug 2023
- 2023LaplaceConfidence: a Graph-based Approach for Learning with Noisy Labels31 Jul 2023
- 2023Rethinking Noisy Label Learning in Real-world Annotation Scenarios from the Noise-type Perspective28 Jul 2023
- 2023Learning to Segment from Noisy Annotations: A Spatial Correction Approach21 Jul 2023
- 2023GenKL: An Iterative Framework for Resolving Label Ambiguity and Label Non-conformity in Web Images Via a New Generalized KL Divergence19 Jul 2023
- 2023Enhancing Noise-Robust Losses for Large-Scale Noisy Data Learning8 Jun 2023
- 2023VALERIAN: Invariant Feature Learning for IMU Sensor-based Human Activity Recognition in the Wild3 Mar 2023
- 2023Latent Class-Conditional Noise Model19 Feb 2023
- 2023IM-IAD: Industrial Image Anomaly Detection Benchmark in Manufacturing31 Jan 2023
- 2023Meta-Learning Mini-Batch Risk Functionals27 Jan 2023
- 2023Improve Noise Tolerance of Robust Loss via Noise-Awareness18 Jan 2023
- 2023Knockoffs-SPR: Clean Sample Selection in Learning with Noisy Labels2 Jan 2023
- 2022Truncate-Split-Contrast: A Framework for Learning from Mislabeled Videos27 Dec 2022
- 2022On-the-fly Denoising for Data Augmentation in Natural Language Understanding20 Dec 2022
- 2022Instance-dependent Label Distribution Estimation for Learning with Label Noise16 Dec 2022
- 2022PADDLES: Phase-Amplitude Spectrum Disentangled Early Stopping for Learning with Noisy Labels7 Dec 2022
- 2022Robust Point Cloud Segmentation with Noisy Annotations6 Dec 2022
- 2022Neighbour Consistency Guided Pseudo-Label Refinement for Unsupervised Person Re-Identification30 Nov 2022
- 2022Learning with Silver Standard Data for Zero-shot Relation Extraction25 Nov 2022
- 2022A Survey of Dataset Refinement for Problems in Computer Vision Datasets21 Oct 2022
- 2022Tackling Instance-Dependent Label Noise with Dynamic Distribution Calibration11 Oct 2022
- 2022Noise-Robust Bidirectional Learning with Dynamic Sample Reweighting3 Sep 2022
- 2022Learning from Noisy Labels with Coarse-to-Fine Sample Credibility Modeling23 Aug 2022
- 2022DiscrimLoss: A Universal Loss for Hard Samples and Incorrect Samples Discrimination21 Aug 2022
50 newest of 87 All 87 (JSON)
- 2021Understanding and Improving Early Stopping for Learning with Noisy Labelscited by 112
- 2021Sample Selection with Uncertainty of Losses for Learning with Noisy Labelscited by 79
- 2023IM-IAD: Industrial Image Anomaly Detection Benchmark in Manufacturingcited by 64
- 2021Learning Noise Transition Matrix from Only Noisy Labels via Total Variation Regularizationcited by 62
- 2021Open-set Label Noise Can Improve Robustness Against Inherent Label Noisecited by 58
- 2022Instance-Dependent Label-Noise Learning with Manifold-Regularized Transition Matrix Estimationcited by 49
- 2021Asymmetric Loss Functions for Learning with Noisy Labelscited by 46
- 2024RIME: Robust Preference-based Reinforcement Learning with Noisy Preferencescited by 37
- 2021Estimating Instance-dependent Bayes-label Transition Matrix using a Deep Neural Networkcited by 30
- 2021Continual Learning on Noisy Data Streams via Self-Purified Replaycited by 27
- 2022CLNode: Curriculum Learning for Node Classificationcited by 24
- 2021Learning with Noisy Labels for Robust Point Cloud Segmentationcited by 22
12 most cited of 85 All 85 (JSON)
- 2026Stochastic Order Learning: An Approach to Rank Estimation Using Noisy Data9 Jul 2026
- 2026Robust Trajectory Distillation: Hybrid Reweighting Meets Teacher-Inspired Targets29 Jun 2026
- 2026Beyond Loss Values: Robust Dynamic Pruning via Loss Trajectory Alignment8 Apr 2026
- 2025Effects of Initialization Biases on Deep Neural Network Training Dynamics25 Nov 2025
- 2025Hard Samples, Bad Labels: Robust Loss Functions That Know When to Back Off20 Nov 2025
- 2025Tackling the Noisy Elephant in the Room: Label Noise-robust Out-of-Distribution Detection via Loss Correction and Low-rank Decomposition8 Sep 2025
- 2024Informed Deep Abstaining Classifier: Investigating noise-robust training for diagnostic decision support systems28 Oct 2024
- 2024Implicit to Explicit Entropy Regularization: Benchmarking ViT Fine-tuning under Noisy Labels5 Oct 2024
- 2024Robust Loss Functions for Object Grasping under Limited Ground Truth9 Sep 2024
- 2024Learning from Noisy Labels for Long-tailed Data via Optimal Transport7 Aug 2024
- 2024Relation Modeling and Distillation for Learning with Noisy Labels30 May 2024
- 2024Estimating Noisy Class Posterior with Part-level Labels for Noisy Label Learning8 May 2024
12 newest of 85 All 85 (JSON)