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Routing without Forgetting

arXiv cs.LG / 3/11/2026

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Key Points

  • The paper addresses continual learning in transformers under online continual learning (OCL) settings, where data is received as a non-stationary stream and each sample may only be observed once.
  • Traditional parameter-efficient adaptation methods like prompts or adapters rely on gradual gradient updates and struggle in such strict online scenarios.
  • The authors propose Routing without Forgetting (RwF), a novel transformer architecture that uses energy-based associative retrieval layers inspired by Modern Hopfield Networks to dynamically select the appropriate representational subspace per input without repeated optimization.
  • RwF generates dynamic prompts through single-step associative retrieval at each layer, enabling input-conditioned routing within each forward pass, improving performance on class-incremental benchmarks including Split-ImageNet-R and Split-ImageNet-S, especially in few-shot regimes.
  • This method provides a more principled and effective foundation for online continual learning by embedding energy-based associative routing directly into the transformer backbone.

Computer Science > Machine Learning

arXiv:2603.09576 (cs)
[Submitted on 10 Mar 2026]

Title:Routing without Forgetting

View a PDF of the paper titled Routing without Forgetting, by Alessio Masano and 4 other authors
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Abstract:Continual learning in transformers is commonly addressed through parameter-efficient adaptation: prompts, adapters, or LoRA modules are specialized per task while the backbone remains frozen. Although effective in controlled multi-epoch settings, these approaches rely on gradual gradient-based specialization and struggle in Online Continual Learning (OCL), where data arrive as a non-stationary stream and each sample may be observed only once. We recast continual learning in transformers as a routing problem: under strict online constraints, the model must dynamically select the appropriate representational subspace for each input without explicit task identifiers or repeated optimization. We thus introduce Routing without Forgetting (RwF), a transformer architecture augmented with energy-based associative retrieval layers inspired by Modern Hopfield Networks. Instead of storing or merging task-specific prompts, RwF generates dynamic prompts through single-step associative retrieval over the transformer token embeddings at each layer. Retrieval corresponds to the closed-form minimization of a strictly convex free-energy functional, enabling input-conditioned routing within each forward pass, independently of iterative gradient refinement. Across challenging class-incremental benchmarks, RwF improves over existing prompt-based methods. On Split-ImageNet-R and Split-ImageNet-S, RwF outperforms prior prompt-based approaches by a large margin, even in few-shot learning regimes. These results indicate that embedding energy-based associative routing directly within the transformer backbone provides a principled and effective foundation for OCL.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2603.09576 [cs.LG]
  (or arXiv:2603.09576v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2603.09576
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arXiv-issued DOI via DataCite

Submission history

From: Giovanni Bellitto [view email]
[v1] Tue, 10 Mar 2026 12:23:46 UTC (3,687 KB)
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