| Abstract |
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We propose a principled account on multiclass spectral clustering. Given a discrete clustering formulation, we first solve a relaxed continuous optimization problem by eigen-decomposition. We clarify the role of eigenvectors as a generator of all optimal solutions through orthonormal transforms. We then solve an optimal discretization problem, which seeks a discrete solution closest to the continuous optima. The discretization is efficiently computed in an iterative fashion using singular value decomposition and non-maximum suppression. The resulting discrete solutions are nearly global-optimal. Our method is robust to random initialization and converges faster than other clustering methods. Experiments on real image segmentation are reported.
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 Additional Information
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Citation:
Stella X. Yu, Jianbo Shi,
"Multiclass Spectral Clustering,"
iccv,
p. 313,
Ninth IEEE International Conference on Computer Vision (ICCV'03) - Volume 1,
2003
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