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The Geometric Wall: Manifold Structure Predicts Layerwise Sparse Autoencoder Scaling Laws
Sparse autoencoder scaling varies by layer because curved activation manifolds with varying intrinsic dimensions impose geometry-dependent reconstruction walls rather than universal linear scaling laws.
Sydney Poster Session 4, Wed, Dec 9, 5:00 PM–8:00 PM, Hall 1-4 · Published 2026
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