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Paper · arXiv

Information as Structural Alignment: A Dynamical Theory of Continual Learning

Catastrophic forgetting is not an engineering failure. It is a mathematical consequence of storing knowledge as global parameter superposition. Existing methods, such as regularization, replay, and frozen subnetworks, add external mechanisms to a shared-parameter substrate. None derives retention from the learning dynamics themselves. This paper introduces the Informational Buildup Framework (IBF), an alternative substrate for continual learning, based on the premise that information is the achievement of structural alignment rather than stored content. In IBF, two equations govern the dynamics: a Law of Motion that drives configuration toward higher coherence, and Modification Dynamics t...

AuthorsRadu Negulescu
Primary categorycs.LG
Published8 April 2026
Last updated at source8 April 2026
cs.LGcs.AI
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