SPIN Unprocessed October 15, 2026 ai_technology research
Graph Coarsening Enables Escaping Local Optima in Compute-Constrained Nonconvex MAX-CUT
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arXiv:2610.19043v1 Announce Type: new Abstract: Because its binary optimization landscape contains exponentially many local optima, MAX-CUT is highly sensitive to initialization. We study Particle Polynomial Relaxation (PPR), a moment-based nonconvex continuous reformulation possessing an advantageous optimization landscape. We warm-start PPR with Combinatorial Multigrid (CMG), a spectral graph-coarsening method that produces structure-aware initial solutions in near-linear time without training
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