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This study demonstrates how early training phases in neural networks establish a persistent geometric scaffold that biases subsequent representational changes during continual learning tasks. By identifying this history-dependent subspace, the research reveals fundamental constraints on how models adapt to new information while retaining prior knowledge. These findings offer critical insights into optimizing lifelong learning systems and understanding the intrinsic dynamics of representation drift.
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Early Learning Shapes Later Directions Of Representation Change In Continual Learning

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arXiv:2609.36081v1 Announce Type: new Abstract: Representations continually change as a network learns new tasks. We ask whether early representational changes naturally form a geometric structure that continues to shape later learning. We identify a low-dimensional subspace of early representation drift, which we call a scaffold, and test whether it is reused across subsequent tasks. Across four pretrained visual encoders and two datasets, later representational changes consistently favor this early-defined subspace over matched random alternatives. This reuse is history-dependent: when networks experience different early tasks but identical later training inputs, each network preferentially reuses the scaffold induced by its own learning history. The same preference appears in individual optimizer updates, even though the network's dominant local response directions shift away from the original scaffold. Finally, constraining motion within the scaffold slows new-task acquisition more than matched random constraints, while effects on old-task retention are less consistent. In summary, these results suggest that early experience leaves a persistent geometric imprint on how neural networks adapt to future tasks.

Abstract:Representations continually change as a network learns new tasks. We ask whether early representational changes naturally form a geometric structure that continues to shape later learning. We identify a low-dimensional subspace of early representation drift, which we call a scaffold, and test whether it is reused across subsequent tasks. Across four pretrained visual encoders and two datasets, later representational changes consistently favor this early-defined subspace over matched random alternatives. This reuse is history-dependent: when networks experience different early tasks but identical later training inputs, each network preferentially reuses the scaffold induced by its own learning history. The same preference appears in individual optimizer updates, even though the network's dominant local response directions shift away from the original scaffold. Finally, constraining motion within the scaffold slows new-task acquisition more than matched random constraints, while effects on old-task retention are less consistent. In summary, these results suggest that early experience leaves a persistent geometric imprint on how neural networks adapt to future tasks.

Machine Learning (cs.LG)

arXiv:2609.36081 [cs.LG]

(or arXiv:2609.36081v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.36081 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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