2012
DOI: 10.1007/978-3-642-33712-3_45
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Graph Matching via Sequential Monte Carlo

Abstract: Abstract. Graph matching is a powerful tool for computer vision and machine learning. In this paper, a novel approach to graph matching is developed based on the sequential Monte Carlo framework. By constructing a sequence of intermediate target distributions, the proposed algorithm sequentially performs a sampling and importance resampling to maximize the graph matching objective. Through the sequential sampling procedure, the algorithm effectively collects potential matches under one-to-one matching constrai… Show more

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Cited by 31 publications
(18 citation statements)
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“…2(b). These are "soft" constraints (e.g., as opposed to ones in [20,24]), the consistent elements of x being driven toward a solution satisfying these constraints (e.g., as similar to ones in [6,10,14]). MPM itself does not prevent one-to-many nor many-to-one matches if they are well supported by maxpooled neighboring matches.…”
Section: Algorithm 1: Max-pooling Matching (Mpm)mentioning
confidence: 99%
See 1 more Smart Citation
“…2(b). These are "soft" constraints (e.g., as opposed to ones in [20,24]), the consistent elements of x being driven toward a solution satisfying these constraints (e.g., as similar to ones in [6,10,14]). MPM itself does not prevent one-to-many nor many-to-one matches if they are well supported by maxpooled neighboring matches.…”
Section: Algorithm 1: Max-pooling Matching (Mpm)mentioning
confidence: 99%
“…More precisely, it is the quadratic assignment problem, which is known to be NP-hard. Due to its generality and flexibility, this formulation and its extensions has been favored in recent graph matching research [6,7,10,18,20,24,31,32]. …”
Section: Standard Formulationmentioning
confidence: 99%
“…• pairwise visual object matching which matches feature point correspondences between a pair of objects [15], [11], [4]; and…”
Section: Related Workmentioning
confidence: 99%
“…Two classic approaches for recurring pattern detection are: (A) pairwise visual-word-matching which matches pairs of visual words across all objects [7]; and (B) pairwise object-matching which matches feature point correspondences between a pair of objects [12,5,4]. Both of these methods are limited in that (1) Pairwise matching, though relatively simple, does not fully utilize all available information for optimal matching.…”
Section: Introductionmentioning
confidence: 99%