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We propose an adaptive version of the total variation algorithm proposed in [3] for computing the balanced cut of a graph.
A Lower Bound for the Smallest Eigenvalue of the Laplacian
J. Cheeger · 1970
Earlier work this paper cites.
Nonlinear Total Variation Based Noise Removal Algorithms
L. I. Rudin, S. Osher, and E. Fatemi · 1992
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Spectral Graph Theory
F. R. K. Chung · 1997
Earlier work this paper cites.
A fast iterative shrinkage-thresholding algorithm for linear inverse problems
A. Beck and M. Teboulle · 2009
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Spectral Clustering Based on the Graph p-Laplacian
T. Bühler and M. Hein · 2009
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The Split Bregman Method for L1-Regularized Problems
T. Goldstein and S. Osher · 2009
Earlier work this paper cites.
A total variation-based graph clustering algorithm for cheeger ratio cuts
A. Szlam and X. Bresson · 2009
Cited alongside, same era.
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
M. Hein and T. Bühler · 2010
Cited alongside, same era.
Total variation and cheeger cuts
A. Szlam and X. Bresson · 2010
Cited alongside, same era.
A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
A. Chambolle and T. Pock · 2011
Cited alongside, same era.
Beyond Spectral Clustering - Tight Relaxations of Balanced Graph Cuts
M. Hein and S. Setzer · 2011
Cited alongside, same era.
Diffuse Interface Models on Graphs for Classification of High Dimensional Data
A. Bertozzi and A. Flenner · 2012
Convergence and energy landscape for cheeger cut clustering
X. Bresson, T. Laurent, D. Uminsky, and J. von Brecht · 2012
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Multi-Class Transductive Learning based on ℓ 1 \ell^{1} Relaxations of Cheeger Cut and Mumford-Shah-Potts Model
X. Bresson, X.-C. Tai, T.F. Chan, and A. Szlam · 2012
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An mbo scheme on graphs for segmentation and image processing
E. Merkurjev, T. Kostic, and A. Bertozzi · 2012
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Constrained 1-Spectral Clustering
S. Rangapuram and M. Hein · 2012
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Gamma-convergence of graph ginzburg-landau functionals
Y. van Gennip and A. Bertozzi · 2012
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Cited alongside, same era.