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A Box-Constrained Approach for Hard Permutation Problems

ICML 2016 · Learning theory and algorithms › Combinatorial and search optimization · approach: Unsupervised neural combinatorial optimization · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
raise FAQ Frank-Wolfe iteration cap from 10 to 30FAQ · QAPLIB CHRbest-run optimality gap: 18.72 -> 9.32Helped
add greedy swap heuristic to FAQ30FAQ30 · QAPLIB CHRbest-run optimality gap: 9.32 -> 5.90Helped
use CD+C+RS instead of FAQ30FAQ30 · QAPLIB ELSbest-run optimality gap: 22.96 -> 4.21Helped
use CD+C+RS instead of FAQ10FAQ10 · QAPLIB LIPA Bbest-run optimality gap: .00 -> 7.92Hurt
use CD+C+RS instead of FAQ30FAQ30 · QAPLIB TAIbest-run optimality gap: 1.53 -> 1.30Mixed
use CD+C+RS instead of FAQ30+GFAQ30+G · QAPLIB NUGbest-run optimality gap: .03 -> .43Hurt
use CD+C+RS instead of FAQ10 (running time)FAQ10 · QAPLIB ELStiming ratio: 394.71Helped
use CD+C+RS instead of FAQ30+G (running time, synthetic QAP)FAQ30+G · synthetic Taillard QAP n=300..1000running time: about 60 times fasterHelped
use CD+C+RS instead of FAQ10+G (running time, synthetic QAP)FAQ10+G · synthetic Taillard QAP n=300..1000running time: about 20 times fasterHelped
CD+C+RS vs FAQ30+G objective on synthetic QAPFAQ30+G · synthetic Taillard QAPobjective gapHurt
replace random sorting network by full sorting network in heuristic (ablation)CD+C · QAPLIBobjective valueHelped
replace random sorting network by full sorting network (ablation)CD+C · synthetic QAPrun time scaling: O(n^2) -> O(n^3)Hurt

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