2016
DOI: 10.1109/tpami.2015.2477832
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Multi-Graph Matching via Affinity Optimization with Graduated Consistency Regularization

Abstract: This paper addresses the problem of matching common node correspondences among multiple graphs referring to an identical or related structure. This multi-graph matching problem involves two correlated components: i) the local pairwise matching affinity across pairs of graphs; ii) the global matching consistency that measures the uniqueness of the pairwise matchings by different composition orders. Previous studies typically either enforce the matching consistency constraints in the beginning of an iterative op… Show more

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Cited by 152 publications
(95 citation statements)
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“…2) using data augmentation, which is widely used in deep learning-based image processing. 3) exploring the alignment among two or multiple interaction graphs [31,32] from different species using graph embedding, instead of using only human interaction network. 4) using an end-end learning framework graph convolutional network [33] to directly infer the protein subcellular locations in the proteinprotein network.…”
Section: Discussionmentioning
confidence: 99%
“…2) using data augmentation, which is widely used in deep learning-based image processing. 3) exploring the alignment among two or multiple interaction graphs [31,32] from different species using graph embedding, instead of using only human interaction network. 4) using an end-end learning framework graph convolutional network [33] to directly infer the protein subcellular locations in the proteinprotein network.…”
Section: Discussionmentioning
confidence: 99%
“…The main reason is that to the best of our knowledge, there is no specified network designed to solve the problem of face recognition affected by noise as addressed by our model. One possible future work is to involve sparsity based models [54], matching based methods [55], and error-correction based models [56] to further improve cost effectiveness and robustness. The bold indicates the best…”
Section: Discussionmentioning
confidence: 99%
“…OURS (µ=10), YAN ET AL. [49], and WANG ET AL. [47] consider geometric relations between points, amongst which OURS is the fastest (note that the reported runtimes include the initialisation).…”
Section: Dataset Typementioning
confidence: 93%
“…Practical approaches for solving multi-matching problems can be put into two categories: (i) methods that jointly optimise for multi-matchings between all objects (e.g. [22,49,41,44,6]) and (ii) approaches that first establish matchings between points in each pair of objects independently, and then improve those matchings via a postprocessing procedure referred to as permutation synchronisation [35,12,57,40,30]. Approaches that jointly optimise for multi-matchings either ignore geometric relations between the points [44], or are prohibitively expensive and thus only applicable to small problems (cf.…”
Section: Introductionmentioning
confidence: 99%