recursive-curves

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Exact ReLU realization of affine one-dimensional refinement iterates via residual memory and offset frames

arXiv cs.LG · 2026-07-24 Cached

This paper proves that every finite affine iterate of vector-valued affine refinement operators admits an exact fixed-width ReLU realization with depth O(n) for M>=3, using a residual memory controller and offset frames. The result extends to arbitrary compactly supported continuous piecewise linear forcing terms.

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