Learning What Works Best When
summary
Presents an algorithmic advance that computes exact projection via InFiX of separable convex functions onto submodular base polytopes, amortizing to O(n) submodular-minimizations and proving a quadratic bound on discrete-Newton iterations versus previous n^8 bounds; shows faster exact solves than Frank–Wolfe in cardinality cases. Builds an empirical Max‑Cut study: a 3,300-instance library, 37 implemented heuristics run on EC2 with standardized runtimes; finds no single winner, and that selection raises best-solution hit rate 15→37% (48% with parallel portfolios).
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