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News/Arithmetic Circuits and Neural Networks for Regular Matroids
arxiv
PublishedOctober 16, 2026 at 4:00 AM

Arithmetic Circuits and Neural Networks for Regular Matroids

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arXiv:2511.02406v2 Announce Type: replace-cross Abstract: We prove that there exist uniform $(+,\times,/)$-circuits of size $O(n^3)$ to compute the basis generating polynomial of regular matroids on $n$ elements. By tropicalization, this implies that there exist uniform $(\max,+,-)$-circuits and ReL

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