cs.CC · 2026-07-14 · No. 53

Computational Complexity, 2026-07-14.

1 new papers in cs.CC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Tropical Circuits with Scalar Multiplication Gates

    Christoph Hertrich, Moritz Stargalla

    cs.CC · cs.LG · math.CO

    We study tropical circuits with scalar multiplication gates, that is, algebraic circuits whose gates implement $\max$, $+$, or multiplication with a positive constant. For such circuits, we prove exponential size lower bounds for computing maximum weight directed spanning trees and maximum weight bipartite perfect matchings. As a corollary, we obtain an exponential size separation between monotone and non-monotone maxout neural networks,...

    arxiv.org/abs/2607.11540 · PDF

This edition is part of The Daily Abstract — cs.CC archive. Subscribe to receive these in your inbox each morning, automatically translated to Spanish, with reply-to-PDF: arxivdaily.ignorelist.com.

Colophon Set in Georgia, with system sans for interface chrome and a monospaced stack for code and paper identifiers. Sole accent: amber #D99C5E. Built and served on an always-free VM. The masthead is set 14% letterspaced because newspapers do that and it works.