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This paper addresses the fundamental scalability bottleneck of standard transformer attention by proposing parametric forms that maintain a constant memory footprint for lifelong learning tasks. The authors contrast these approaches with nonparametric softmax attention, highlighting current limitations in online update costs and memory capacity that hinder long-horizon agent development. By framing linear attention and state-space models as essential components for fixed hardware budgets, the work provides critical direction for advancing continual learning architectures.
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Lifelong In-Context Learning with Transformers Requires Parametric Forms of Attention

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arXiv:2606.25342v2 Announce Type: replace Abstract: Lifelong continual learning remains an obstacle on the path to human-like intelligence. Modern transformers show sparks of intelligence with in-context learning. The quadratic nature of attention, however, prohibits transformers from performing this process on arbitrarily long sequences. In this work, we argue that extending in-context learning to lifelong settings is a practical solution for continual learning in AI agents. In particular, we argue that parametric forms of attention are needed to understand a lifetime of context with transformers on a fixed hardware budget. These attention mechanisms learn the relationship between keys and their associated values at test-time with parametric regression. Our generalization of parametric approaches (linear attention, state-space models, fast weight programmers, and test-time training layers) contrasts with nonparametric counterparts like softmax attention. They replace the ever-growing key-value cache with an online-trainable neural network, maintaining a constant memory footprint. We highlight how parametric attention currently fall short of lifelong learning due to limited memory capacity or costly online updates. To address these issues, we pose a set of open questions with novel insights to guide the field toward long-horizon agents.

Abstract:Lifelong continual learning remains an obstacle on the path to human-like intelligence. Modern transformers show sparks of intelligence with in-context learning. The quadratic nature of attention, however, prohibits transformers from performing this process on arbitrarily long sequences. In this work, we argue that extending in-context learning to lifelong settings is a practical solution for continual learning in AI agents. In particular, we argue that parametric forms of attention are needed to understand a lifetime of context with transformers on a fixed hardware budget. These attention mechanisms learn the relationship between keys and their associated values at test-time with parametric regression. Our generalization of parametric approaches (linear attention, state-space models, fast weight programmers, and test-time training layers) contrasts with nonparametric counterparts like softmax attention. They replace the ever-growing key-value cache with an online-trainable neural network, maintaining a constant memory footprint. We highlight how parametric attention currently fall short of lifelong learning due to limited memory capacity or costly online updates. To address these issues, we pose a set of open questions with novel insights to guide the field toward long-horizon agents.

Machine Learning (cs.LG)

arXiv:2606.25342 [cs.LG]

(or arXiv:2606.25342v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.25342 Focus to learn more arXiv-issued DOI via DataCite

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