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Research map / Graph learning / Graph algorithms and clustering

A Study of Lagrangean Decompositions and Dual Ascent Solvers for Graph Matching

CVPR 2017 · Graph learning › Graph algorithms and clustering · approach: Optimization algorithms for graph matching · 46 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use AMP with label factors and dual-ascent message passingGraph matching solver · car, motor, wormsconvergence / anytime performanceHelped
Use AMP rather than DDGraph matching solver · graph flowlower bound: -2849.96 vs -2840.29Hurt
Use AMP rather than DDGraph matching solver · wormsruntime (s): 1471.95 vs 213.89Helped
Use DD rather than the proposed solversGraph matching solver · hotelruntime (s): 0.42Helped
Use coupled original and inverse formulations (-C)Graph matching solver · dense datasetsconvergence robustnessHelped
Use inverse formulation (-I) on sparse graphsGraph matching solver · sparse graphscomputational costHurt
Use AMCF rather than HBP with a better message scheduleGraph matching solver · wormstime to similar duality gap: one-two orders of magnitude fasterHelped
Use the AMP schedule and label-factor relaxation rather than the network-flow-factor scheduleEquivalent graph-matching relaxations · graph matching benchmarksconvergence speedHelped
Use DD's larger local subproblemsDD · graph flowlower boundHelped
Use the GM relaxation rather than stronger relaxationsGraph matching solver · car, motor, wormslower-bound performanceHurt

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