Continual evaluation for lifelong learning: Identifying the stability gap
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Abstract (arXiv)
Time-dependent data-generating distributions have proven to be difficult for gradient-based training of neural networks, as the greedy updates result in catastrophic forgetting of previously learned knowledge. Despite the progress in the field of continual learning to overcome this forgetting, we show that a set of common state-of-the-art methods still suffers from substantial forgetting upon starting to learn new tasks, except that this forgetting is temporary and followed by a phase of performance recovery. We refer to this intriguing but potentially problematic phenomenon as the stability gap. The stability gap had likely remained under the radar due to standard practice in the field of evaluating continual learning models only after each task. Instead, we establish a framework for continual evaluation that uses per-iteration evaluation and we define a new set of metrics to quantify worst-case performance. Empirically we show that experience replay, constraint-based replay, knowledge-distillation, and parameter regularization methods are all prone to the stability gap; and that the stability gap can be observed in class-, task-, and domain-incremental learning benchmarks. Additionally, a controlled experiment shows that the stability gap increases when tasks are more dissimilar. Finally, by disentangling gradients into plasticity and stability components, we propose a conceptual explanation for the stability gap.
Key facts. Cited by 56 papers in the map (data through 14 Oct 2026). Builds on 37 of its 57 references that are in the map. First posted on arXiv 26 May 2022.
Builds on
37 of 57 references.
References · 37
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2014ImageNet Large Scale Visual Recognition Challengecited by 8,498
- 2016Overcoming catastrophic forgetting in neural networkscited by 4,787
- 2013Playing Atari with Deep Reinforcement Learningcited by 3,274
- 2016Learning without Forgettingcited by 2,496
- 2016iCaRL: Incremental Classifier and Representation Learningcited by 2,333
- 2016Matching Networks for One Shot Learningcited by 2,255
- 2017Gradient Episodic Memory for Continual Learningcited by 1,898
- 2016Progressive Neural Networkscited by 1,361
- 2018Moment Matching for Multi-Source Domain Adaptationcited by 1,331
25 more
- 2018Continual Lifelong Learning with Neural Networks: A Reviewcited by 1,330
- 2017Memory Aware Synapses: Learning what (not) to forgetcited by 1,105
- 2018Efficient Lifelong Learning with A-GEMcited by 1,058
- 2017PackNet: Adding Multiple Tasks to a Single Network by Iterative Pruningcited by 898
- 2018Riemannian Walk for Incremental Learning: Understanding Forgetting and Intransigencecited by 742
- 2013An Empirical Investigation of Catastrophic Forgetting in Gradient-Based Neural Networkscited by 722
- 2018Overcoming catastrophic forgetting with hard attention to the taskcited by 681
- 2019Three scenarios for continual learningcited by 614
- 2019Gradient based sample selection for online continual learningcited by 571
- 2018Learning to Learn without Forgetting by Maximizing Transfer and Minimizing Interferencecited by 521
- 2019Online Continual Learning with Maximally Interfered Retrievalcited by 379
- 2019On Tiny Episodic Memories in Continual Learningcited by 307
- 2018Re-evaluating Continual Learning Scenarios: A Categorization and Case for Strong Baselinescited by 228
- 2021New Insights on Reducing Abrupt Representation Change in Online Continual Learningcited by 219
- 2019Task2Vec: Task Embedding for Meta-Learningcited by 205
- 2020Domain Adaptive Ensemble Learningcited by 156
- 2020Continual Prototype Evolution: Learning Online from Non-Stationary Data Streamscited by 144
- 2018Memory Efficient Experience Replay for Streaming Learningcited by 128
- 2021Avalanche: an End-to-End Library for Continual Learningcited by 124
- 2017Encoder Based Lifelong Learningcited by 102
- 2021Rehearsal revealed: The limits and merits of revisiting samples in continual learningcited by 76
- 2021Efficient Feature Transformations for Discriminative and Generative Continual Learningcited by 50
- 2020Online Continual Learning under Extreme Memory Constraintscited by 48
- 2021Natural continual learning: success is a journey, not (just) a destinationcited by 46
- 2021Continual Learning for Recurrent Neural Networks: an Empirical Evaluationcited by 34
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Citing papers per year: 2022: 1; 2023: 9; 2024: 18; 2025: 12; 2026: 16.
56 papers.
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- 2023Continual Pre-Training of Large Language Models: How to (re)warm your model?cited by 137
- 2024Simple and Scalable Strategies to Continually Pre-train Large Language Modelscited by 127
- 2024Continual Learning and Catastrophic Forgettingcited by 77
- 2024Addressing Loss of Plasticity and Catastrophic Forgetting in Continual Learningcited by 50
- 2024LeanAgent: Lifelong Learning for Formal Theorem Provingcited by 35
- 2023Online Continual Learning Without the Storage Constraintcited by 29
- 2024CLAP4CLIP: Continual Learning with Probabilistic Finetuning for Vision-Language Modelscited by 25
- 2024Efficient Continual Pre-training by Mitigating the Stability Gapcited by 25
- 2023A Comprehensive Empirical Evaluation on Online Continual Learningcited by 24
- 2024A Practitioner's Guide to Continual Multimodal Pretrainingcited by 23
- 2026Continual Learning Bench: Evaluating Frontier AI Systems in Real-World Stateful Environmentscited by 17
- 2023Two Complementary Perspectives to Continual Learning: Ask Not Only What to Optimize, But Also Howcited by 16
38 more
- 2025Grounding Multilingual Multimodal LLMs With Cultural Knowledgecited by 16
- 2023Improving Online Continual Learning Performance and Stability with Temporal Ensemblescited by 14
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- 2024Layerwise Proximal Replay: A Proximal Point Method for Online Continual Learningcited by 13
- 2022Learn the Time to Learn: Replay Scheduling in Continual Learningcited by 11
- 2024SLCA++: Unleash the Power of Sequential Fine-tuning for Continual Learning with Pre-trainingcited by 10
- 2023Design Principles for Lifelong Learning AI Acceleratorscited by 9
- 2024PASS++: A Dual Bias Reduction Framework for Non-Exemplar Class-Incremental Learningcited by 8
- 2025Online Curvature-Aware Replay: Leveraging mathbf2nd Order Information for Online Continual Learningcited by 8
- 2024Early Preparation Pays Off: New Classifier Pre-tuning for Class Incremental Semantic Segmentationcited by 7
- 2025Bridging Streaming Continual Learning via In-Context Large Tabular Modelscited by 7
- 2025Hephaestus: Improving Fundamental Agent Capabilities of Large Language Models through Continual Pre-Trainingcited by 6
- 2025Learning Dynamics in Continual Pre-Training for Large Language Modelscited by 5
- 2025Emergent Abilities of Large Language Models under Continued Pretraining for Language Adaptationcited by 5
- 2023Implicit biases in multitask and continual learning from a backward error analysis perspectivecited by 4
- 2024Continual Learning on a Diet: Learning from Sparsely Labeled Streams Under Constrained Computationcited by 4
- 2024Exploring the Stability Gap in Continual Learning: The Role of the Classification Headcited by 4
- 2026Putting a Face to Forgetting: Continual Learning meets Mechanistic Interpretabilitycited by 4
- 2023Chunking: Continual Learning is not just about Distribution Shiftcited by 3
- 2024The Expanding Scope of the Stability Gap: Unveiling its Presence in Joint Incremental Learning of Homogeneous Taskscited by 3
- 2024AGALE: A Graph-Aware Continual Learning Evaluation Frameworkcited by 2
- 2024Dual-CBA: Improving Online Continual Learning via Dual Continual Bias Adaptors from a Bi-level Optimization Perspectivecited by 2
- 2025EFC++: Elastic Feature Consolidation with Prototype Re-balancing for Cold Start Exemplar-free Incremental Learningcited by 2
- 2025CultureMERT: Continual Pre-Training for Cross-Cultural Music Representation Learningcited by 2
- 2024PARMESAN: Parameter-Free Memory Search and Transduction for Dense Prediction Taskscited by 1
- 2025A Good Start Matters: Enhancing Continual Learning with Data-Driven Weight Initializationcited by 1
- 2025On Understanding of the Dynamics of Model Capacity in Continual Learningcited by 1
- 2026ARROW: Augmented Replay for RObust World modelscited by 1
- 2026The Future of Facts: Tracing the Factual Generation-Verification Gapcited by 1
- 2026Re-Evaluating Continual Learning with Few-Shot Adaptationcited by 1
- 2026Continual Learning via Self-Probe Gradientscited by 1
- 2024Evaluating and Improving Continual Learning in Spoken Language Understandingcited by 0
- 2025Mathematics of Continual Learningcited by 0
- 2025Dynamic gain neuromodulation attenuates the stability gap under joint trainingcited by 0
- 2026Online Continual Learning for Time Series: a Natural Score-driven Approachcited by 0
- 2026Compensating Visual Insufficiency with Stratified Language Guidance for Long-Tail Class Incremental Learningcited by 0
- 2026From Order to Distribution: An Exact Operator Framework for Forgetting in Continual Learningcited by 0
- 2026MANGO: Meta-Adaptive Network Gradient Optimization for Online Continual Learningcited by 0
50 most cited of 56 All 56 (JSON)
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- 2026Continual Learning via Self-Probe Gradients26 Sep 2026
- 2026Replay in the Silent Degrees of Freedom: Continual Learning Without an Offline Phase9 Sep 2026
- 2026Beyond Endpoint Scores: Time- and Capacity-Conditioned Evaluation of Continual Knowledge Updating3 Sep 2026
- 2026WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training12 Jul 2026
- 2026Loss Smoothing for Stable Adaptation Under Distribution Shift1 Jul 2026
- 2026The Gentle Collapse: Distributional Metrics for Continual Learning23 Jun 2026
- 2026Continual Learning Bench: Evaluating Frontier AI Systems in Real-World Stateful Environments4 Jun 2026
- 2026Re-Evaluating Continual Learning with Few-Shot Adaptation2 Jun 2026
- 2026The Future of Facts: Tracing the Factual Generation-Verification Gap26 May 2026
- 2026MANGO: Meta-Adaptive Network Gradient Optimization for Online Continual Learning18 May 2026
- 2026From Order to Distribution: An Exact Operator Framework for Forgetting in Continual Learning15 Apr 2026
38 more
- 2026Compensating Visual Insufficiency with Stratified Language Guidance for Long-Tail Class Incremental Learning23 Mar 2026
- 2026ARROW: Augmented Replay for RObust World models12 Mar 2026
- 2026Putting a Face to Forgetting: Continual Learning meets Mechanistic Interpretability29 Jan 2026
- 2026Online Continual Learning for Time Series: a Natural Score-driven Approach19 Jan 2026
- 2025Bridging Streaming Continual Learning via In-Context Large Tabular Models12 Dec 2025
- 2025On Understanding of the Dynamics of Model Capacity in Continual Learning11 Aug 2025
- 2025Grounding Multilingual Multimodal LLMs With Cultural Knowledge10 Aug 2025
- 2025Dynamic gain neuromodulation attenuates the stability gap under joint training18 Jul 2025
- 2025CultureMERT: Continual Pre-Training for Cross-Cultural Music Representation Learning21 Jun 2025
- 2025Emergent Abilities of Large Language Models under Continued Pretraining for Language Adaptation30 May 2025
- 2025Learning Dynamics in Continual Pre-Training for Large Language Models12 May 2025
- 2025Mathematics of Continual Learning24 Apr 2025
- 2025EFC++: Elastic Feature Consolidation with Prototype Re-balancing for Cold Start Exemplar-free Incremental Learning13 Mar 2025
- 2025A Good Start Matters: Enhancing Continual Learning with Data-Driven Weight Initialization9 Mar 2025
- 2025Hephaestus: Improving Fundamental Agent Capabilities of Large Language Models through Continual Pre-Training10 Feb 2025
- 2025Online Curvature-Aware Replay: Leveraging mathbf2nd Order Information for Online Continual Learning3 Feb 2025
- 2024Exploring the Stability Gap in Continual Learning: The Role of the Classification Head6 Nov 2024
- 2024LeanAgent: Lifelong Learning for Formal Theorem Proving8 Oct 2024
- 2024A Practitioner's Guide to Continual Multimodal Pretraining26 Aug 2024
- 2024Dual-CBA: Improving Online Continual Learning via Dual Continual Bias Adaptors from a Bi-level Optimization Perspective26 Aug 2024
- 2024SLCA++: Unleash the Power of Sequential Fine-tuning for Continual Learning with Pre-training15 Aug 2024
- 2024Early Preparation Pays Off: New Classifier Pre-tuning for Class Incremental Semantic Segmentation19 Jul 2024
- 2024PASS++: A Dual Bias Reduction Framework for Non-Exemplar Class-Incremental Learning19 Jul 2024
- 2024Efficient Continual Pre-training by Mitigating the Stability Gap21 Jun 2024
- 2024The Expanding Scope of the Stability Gap: Unveiling its Presence in Joint Incremental Learning of Homogeneous Tasks7 Jun 2024
- 2024AGALE: A Graph-Aware Continual Learning Evaluation Framework3 Jun 2024
- 2024Continual Learning on a Diet: Learning from Sparsely Labeled Streams Under Constrained Computation19 Apr 2024
- 2024Addressing Loss of Plasticity and Catastrophic Forgetting in Continual Learning31 Mar 2024
- 2024CLAP4CLIP: Continual Learning with Probabilistic Finetuning for Vision-Language Models28 Mar 2024
- 2024PARMESAN: Parameter-Free Memory Search and Transduction for Dense Prediction Tasks18 Mar 2024
- 2024Simple and Scalable Strategies to Continually Pre-train Large Language Models13 Mar 2024
- 2024Continual Learning and Catastrophic Forgetting8 Mar 2024
- 2024Evaluating and Improving Continual Learning in Spoken Language Understanding16 Feb 2024
- 2024Layerwise Proximal Replay: A Proximal Point Method for Online Continual Learning14 Feb 2024
- 2023Two Complementary Perspectives to Continual Learning: Ask Not Only What to Optimize, But Also How8 Nov 2023
- 2023Implicit biases in multitask and continual learning from a backward error analysis perspective1 Nov 2023
- 2023Design Principles for Lifelong Learning AI Accelerators5 Oct 2023
- 2023Chunking: Continual Learning is not just about Distribution Shift3 Oct 2023
50 newest of 56 All 56 (JSON)
- 2024LeanAgent: Lifelong Learning for Formal Theorem Provingcited by 35
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- 2026ARROW: Augmented Replay for RObust World modelscited by 1
- 2026ARROW: Augmented Replay for RObust World models12 Mar 2026
- 2023Continual Pre-Training of Large Language Models: How to (re)warm your model?cited by 137
- 2024Simple and Scalable Strategies to Continually Pre-train Large Language Modelscited by 127
- 2024Continual Learning and Catastrophic Forgettingcited by 77
- 2024Addressing Loss of Plasticity and Catastrophic Forgetting in Continual Learningcited by 50
- 2023Online Continual Learning Without the Storage Constraintcited by 29
- 2024Efficient Continual Pre-training by Mitigating the Stability Gapcited by 25
- 2023A Comprehensive Empirical Evaluation on Online Continual Learningcited by 24
- 2024A Practitioner's Guide to Continual Multimodal Pretrainingcited by 23
- 2026Continual Learning Bench: Evaluating Frontier AI Systems in Real-World Stateful Environmentscited by 17
- 2023Two Complementary Perspectives to Continual Learning: Ask Not Only What to Optimize, But Also Howcited by 16
- 2023Improving Online Continual Learning Performance and Stability with Temporal Ensemblescited by 14
- 2023Overcoming the Stability Gap in Continual Learningcited by 13
12 most cited of 49 All 49 (JSON)
- 2026Effect of Spherical Parameter Space on Number of Non-Forgetting Tasks and Capacity of Continual Learning12 Oct 2026
- 2026Continual Learning via Self-Probe Gradients26 Sep 2026
- 2026Replay in the Silent Degrees of Freedom: Continual Learning Without an Offline Phase9 Sep 2026
- 2026Beyond Endpoint Scores: Time- and Capacity-Conditioned Evaluation of Continual Knowledge Updating3 Sep 2026
- 2026WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training12 Jul 2026
- 2026The Gentle Collapse: Distributional Metrics for Continual Learning23 Jun 2026
- 2026Continual Learning Bench: Evaluating Frontier AI Systems in Real-World Stateful Environments4 Jun 2026
- 2026Re-Evaluating Continual Learning with Few-Shot Adaptation2 Jun 2026
- 2026The Future of Facts: Tracing the Factual Generation-Verification Gap26 May 2026
- 2026MANGO: Meta-Adaptive Network Gradient Optimization for Online Continual Learning18 May 2026
- 2026From Order to Distribution: An Exact Operator Framework for Forgetting in Continual Learning15 Apr 2026
- 2026Compensating Visual Insufficiency with Stratified Language Guidance for Long-Tail Class Incremental Learning23 Mar 2026
12 newest of 49 All 49 (JSON)