Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.
L´ evy,Les courbes planes ou gauches et les surfaces compos´ ees de parties semblables au tout, Journal de l’ ´Ecole Polytechnique (1938), 227–247, 249–291
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Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.