Research map / Graph learning / Graph algorithms and clustering
A Study of Lagrangean Decompositions and Dual Ascent Solvers for Graph Matching
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use AMP with label factors and dual-ascent message passing | Graph matching solver · car, motor, worms | convergence / anytime performance | Helped |
| Use AMP rather than DD | Graph matching solver · graph flow | lower bound: -2849.96 vs -2840.29 | Hurt |
| Use AMP rather than DD | Graph matching solver · worms | runtime (s): 1471.95 vs 213.89 | Helped |
| Use DD rather than the proposed solvers | Graph matching solver · hotel | runtime (s): 0.42 | Helped |
| Use coupled original and inverse formulations (-C) | Graph matching solver · dense datasets | convergence robustness | Helped |
| Use inverse formulation (-I) on sparse graphs | Graph matching solver · sparse graphs | computational cost | Hurt |
| Use AMCF rather than HBP with a better message schedule | Graph matching solver · worms | time to similar duality gap: one-two orders of magnitude faster | Helped |
| Use the AMP schedule and label-factor relaxation rather than the network-flow-factor schedule | Equivalent graph-matching relaxations · graph matching benchmarks | convergence speed | Helped |
| Use DD's larger local subproblems | DD · graph flow | lower bound | Helped |
| Use the GM relaxation rather than stronger relaxations | Graph matching solver · car, motor, worms | lower-bound performance | Hurt |
Closest papers by meaning
- A Dual Ascent Framework for Lagrangean Decomposition of Combinatorial Problems (CVPR 2017 · similarity 0.91)
- A Convex Relaxation for Multi-Graph Matching (CVPR 2019 · similarity 0.90)
- Alternating Direction Graph Matching (CVPR 2017 · similarity 0.89)
- FRAM: Frobenius-Regularized Assignment Matching with Mixed-Precision Computing (NeurIPS 2025 · similarity 0.88)
- Learning Partial Graph Matching via Optimal Partial Transport (ICLR 2025 · similarity 0.86)
- Discrete Cycle-Consistency Based Unsupervised Deep Graph Matching (AAAI 2024 · similarity 0.85)
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