Title
Fast normalized cut with linear constraints
Abstract
Normalized cut is a widely used technique for solving a variety of problems. Although finding the optimal normalized cut has proven to be NP-hard, spectral relaxations can be applied and the problem of minimizing the normalized cut can be approximately solved using eigen-computations. However, it is a challenge to incorporate prior information in this approach. In this paper, we express prior knowledge by linear constraints on the solution, with the goal of minimizing the normalized cut criterion with respect to these constraints. We develop a fast and effective algorithm that is guaranteed to converge. Convincing results are achieved on image segmentation tasks, where the prior knowledge is given as the grouping information of features.
Year
DOI
Venue
2009
10.1109/CVPR.2009.5206561
CVPR
Keywords
Field
DocType
eigencomputations,fast normalized cut,spectral relaxations,image segmentation,computational complexity,graph theory,eigenvalues and eigenfunctions,np-hard problems,linear constraints,algorithm design and analysis,np hard problems,optimization,biomedical imaging,labeling,data mining,kernel,convergence,clustering algorithms,constraint optimization
Graph theory,Convergence (routing),Mathematical optimization,Algorithm design,Normalization (statistics),Computer science,Image segmentation,Maximum cut,Computational complexity theory
Conference
Volume
Issue
ISSN
2009
1
1063-6919
ISBN
Citations 
PageRank 
978-1-4244-3992-8
37
1.32
References 
Authors
11
3
Name
Order
Citations
PageRank
Linli Xu179042.51
Wenye Li210011.55
Dale Schuurmans32760317.49