Collision fiber sizes determine precise zero-error compression bounds and rate-distortion laws for semantic identity, establishing symbolic mechanisms as necessary complements to non-injective neural representations.
β-vae: Learning basic visual concepts with a constrained variational framework,
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Semantic Identity Compression: Zero-Error Laws, Rate-Distortion, and Neurosymbolic Necessity
Collision fiber sizes determine precise zero-error compression bounds and rate-distortion laws for semantic identity, establishing symbolic mechanisms as necessary complements to non-injective neural representations.