mlsanityData to 7 Oct 2026

Selective Prediction via Training Dynamics

arXiv 2205.13532 ↗First posted 26 May 2022cs.LG stat.MLcited by 20

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Abstract (arXiv)

Selective Prediction is the task of rejecting inputs a model would predict incorrectly on. This involves a trade-off between input space coverage (how many data points are accepted) and model utility (how good is the performance on accepted data points). Current methods for selective prediction typically impose constraints on either the model architecture or the optimization objective; this inhibits their usage in practice and introduces unknown interactions with pre-existing loss functions. In contrast to prior work, we show that state-of-the-art selective prediction performance can be attained solely from studying the (discretized) training dynamics of a model. We propose a general framework that, given a test input, monitors metrics capturing the instability of predictions from intermediate models (i.e., checkpoints) obtained during training w.r.t. the final model's prediction. In particular, we reject data points exhibiting too much disagreement with the final prediction at late stages in training. The proposed rejection mechanism is domain-agnostic (i.e., it works for both discrete and real-valued prediction) and can be flexibly combined with existing selective prediction approaches as it does not require any train-time modifications. Our experimental evaluation on image classification, regression, and time series problems shows that our method beats past state-of-the-art accuracy/utility trade-offs on typical selective prediction benchmarks.

Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 33 of its 60 references that are in the map. First posted on arXiv 26 May 2022.

Builds on

33 of 60 references.

References · 33

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2017On Calibration of Modern Neural Networkscited by 4,860
  3. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,416
  4. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,888
  5. 2016A Baseline for Detecting Misclassified and Out-of-Distribution Examples in Neural Networkscited by 2,362
  6. 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,004
  7. 2017Selective Classification for Deep Neural Networkscited by 799
  8. 2018An Empirical Study of Example Forgetting during Deep Neural Network Learningcited by 669
  9. 2015Train faster, generalize better: Stability of stochastic gradient descentcited by 547
  10. 2020What Neural Networks Memorize and Why: Discovering the Long Tail via Influence Estimationcited by 492
  11. 2020Dataset Cartography: Mapping and Diagnosing Datasets with Training Dynamicscited by 423
  12. 2017Snapshot Ensembles: Train 1, get M for freecited by 349
21 more
  1. 2019SelectiveNet: A Deep Neural Network with an Integrated Reject Optioncited by 333
  2. 2020Consistent Estimators for Learning to Defer to an Expertcited by 262
  3. 2020Stability of Stochastic Gradient Descent on Nonsmooth Convex Lossescited by 172
  4. 2019What Do Compressed Deep Neural Networks Forget?cited by 164
  5. 2021On the Necessity of Auditable Algorithmic Definitions for Machine Unlearningcited by 164
  6. 2017Active Bias: Training More Accurate Neural Networks by Emphasizing High Variance Samplescited by 147
  7. 2021Deep Learning Through the Lens of Example Difficultycited by 139
  8. 2020Self-Adaptive Training: beyond Empirical Risk Minimizationcited by 126
  9. 2021Assessing Generalization of SGD via Disagreementcited by 116
  10. 2018Bias-Reduced Uncertainty Estimation for Deep Neural Classifierscited by 106
  11. 2020Estimating Example Difficulty Using Variance of Gradientscited by 96
  12. 2020Characterizing Structural Regularities of Labeled Data in Overparameterized Modelscited by 93
  13. 2019Deep Gamblers: Learning to Abstain with Portfolio Theorycited by 69
  14. 2019GluonTS: Probabilistic Time Series Models in Pythoncited by 45
  15. 2020Selective Classification via One-Sided Predictioncited by 37
  16. 2020Regression with reject option and application to kNNcited by 30
  17. 2017Checkpoint Ensembles: Ensemble Methods from a Single Training Processcited by 24
  18. 2021Generating and Characterizing Scenarios for Safety Testing of Autonomous Vehiclescited by 21
  19. 2016Unanimous Prediction for 100% Precision with Application to Learning Semantic Mappingscited by 7
  20. 2021Understanding Out-of-distribution: A Perspective of Data Dynamicscited by 7
  21. 2019Selective prediction-set models with coverage guaranteescited by 6

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 8; 2024: 8; 2025: 1; 2026: 1.

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  1. 2024To Believe or Not to Believe Your LLMcited by 120
  2. 2024Mitigating LLM Hallucinations via Conformal Abstentioncited by 56
  3. 2024Conformal Alignment: Knowing When to Trust Foundation Models with Guaranteescited by 50
  4. 2022Metadata Archaeology: Unearthing Data Subsets by Leveraging Training Dynamicscited by 26
  5. 2023Function-Space Regularization in Neural Networks: A Probabilistic Perspectivecited by 20
  6. 2023Beyond Distribution Shift: Spurious Features Through the Lens of Training Dynamicscited by 11
  7. 2023Gradients Look Alike: Sensitivity is Often Overestimated in DP-SGDcited by 11
  8. 2024Confidence-aware Contrastive Learning for Selective Classificationcited by 7
  9. 2023Training Private Models That Know What They Don't Knowcited by 5
  10. 2023Distilling BlackBox to Interpretable models for Efficient Transfer Learningcited by 4
  11. 2025Suitability Filter: A Statistical Framework for Classifier Evaluation in Real-World Deployment Settingscited by 4
  12. 2023ASPEST: Bridging the Gap Between Active Learning and Selective Predictioncited by 3
8 more
  1. 2024LTAU-FF: Loss Trajectory Analysis for Uncertainty in Atomistic Force Fieldscited by 3
  2. 2022Selective classification using a robust meta-learning approachcited by 2
  3. 2023Tackling Shortcut Learning in Deep Neural Networks: An Iterative Approach with Interpretable Modelscited by 2
  4. 2024Attacking Bayes: On the Adversarial Robustness of Bayesian Neural Networkscited by 2
  5. 2024Selective Explanationscited by 2
  6. 2023Advancing Perception in Artificial Intelligence through Principles of Cognitive Sciencecited by 1
  7. 2024Protecting against simultaneous data poisoning attackscited by 1
  8. 2026CHASE: Competing Hypotheses for Ambiguity-Aware Selective Predictioncited by 0