@article {Kappes2016,
	title = {Multicuts and Perturb \& MAP for Probabilistic Graph Clustering},
	journal = {Journal of Mathematical Imaging and Vision},
	volume = {56},
	number = {2},
	year = {2016},
	month = {jan},
	pages = {221{\textendash}237},
	abstract = {We present a probabilistic graphical model formulation for the graph clustering problem. This enables us to locally represent uncertainty of image partitions by approximate marginal distributions in a mathematically substantiated way, and to rectify local data term cues so as to close contours and to obtain valid partitions. We exploit recent progress on globally optimal MAP inference by integer programming and on perturbation-based approximations of the log-partition function, in order to sample clusterings and to estimate marginal distributions of node-pairs both more accurately and more efficiently than state-of-the-art methods. Our approach works for any graphically represented problem instance. This is demonstrated for image segmentation and social network cluster analysis. Our mathematical ansatz should be relevant also for other combinatorial problems.},
	keywords = {Correlation clustering, graphical models, Multicut, Perturb and MAP},
	issn = {15737683},
	doi = {10.1007/s10851-016-0659-3},
	url = {http://arxiv.org/abs/1601.02088},
	author = {Kappes, Jorg Hendrik and Swoboda, Paul and Savchynskyy, Bogdan and Hazan, Tamir and Christoph Schn{\"o}rr}
}
@conference {kappes_14_map,
	title = {MAP-Inference on Large Scale Higher-Order Discrete Graphical Models by Fusion Moves},
	booktitle = {Computer Vision - {ECCV} 2014 Workshops - Zurich, Switzerland, September 6-7 and 12, 2014, Proceedings, Part {II}},
	year = {2014},
	doi = {10.1007/978-3-319-16181-5_37},
	url = {http://dx.doi.org/10.1007/978-3-319-16181-5_37},
	author = {J{\"o}rg H. Kappes and Thorsten Beier and Christoph Schn{\"o}rr}
}
@conference {Kappes-2014,
	title = {MAP-Inference on Large Scale Higher-Order Discrete Graphical Models by Fusion Moves},
	booktitle = {International Workshop on Graphical Models in Computer Vision},
	year = {2014},
	author = {Kappes, Jorg Hendrik and Thorsten Beier and Christoph Schn{\"o}rr}
}
@article {SchmitzerSchnoerr-JMIV2012,
	title = {Modelling convex shape priors and matching based on the Gromov-Wasserstein distance},
	journal = {Journal of Mathematical Imaging and Vision},
	volume = {46},
	number = {1},
	year = {2013},
	pages = {143-159},
	author = {Bernhard Schmitzer and Christoph Schn{\"o}rr}
}
@article {SchmitzerSchnoerr-JMIV2012,
	title = {Modelling convex shape priors and matching based on the Gromov-Wasserstein distance},
	journal = {Journal of Mathematical Imaging and Vision},
	volume = {46},
	number = {1},
	year = {2013},
	pages = {143-159},
	author = {Bernhard Schmitzer and Christoph Schn{\"o}rr}
}
@article {Breitenreicher-Schnoerr-IJCV2011,
	title = {Model-Based Multiple Rigid Object Detection and Registration in Unstructured Range Data},
	journal = {Int.~J.~Comp.~Vision},
	volume = {92},
	year = {2011},
	pages = {32--52},
	doi = {10.1007/s11263-010-0401-3},
	url = {http://www.springerlink.com/content/v266873267180602/},
	author = {Breitenreicher, Dirk and Christoph Schn{\"o}rr}
}
@article {Breitenreicher-Schnoerr-IJCV2011,
	title = {Model-Based Multiple Rigid Object Detection and Registration in Unstructured Range Data},
	journal = {Int. J. Comp. Vision},
	volume = {92},
	year = {2011},
	pages = {32{\textendash}52},
	doi = {10.1007/s11263-010-0401-3},
	url = {http://www.springerlink.com/content/v266873267180602/},
	author = {Breitenreicher, Dirk and Christoph Schn{\"o}rr}
}
@conference {kappes_10_mrf,
	title = {MRF Inference by k-Fan Decomposition and Tight Lagrangian Relaxation},
	booktitle = {European Conference on Computer Vision (ECCV)},
	volume = {6313},
	year = {2010},
	note = {1},
	pages = {735--747},
	publisher = {Springer},
	organization = {Springer},
	doi = {10.1007/978-3-642-15558-1_53},
	author = {J{\"o}rg H. Kappes and Schmidt, S. and Christoph Schn{\"o}rr},
	editor = {Daniilidis, K. and Maragos, P. and Paragios, N.}
}
@conference {Kappes-ECCV2010,
	title = {MRF Inference by k-Fan Decomposition and Tight Lagrangian Relaxation},
	booktitle = {European Conference on Computer Vision (ECCV)},
	volume = {6313},
	year = {2010},
	pages = {735--747},
	publisher = {Springer Berlin / Heidelberg},
	organization = {Springer Berlin / Heidelberg},
	author = {J{\"o}rg H. Kappes and Schmidt, S. and Christoph Schn{\"o}rr},
	editor = {Daniilidis, K. and Maragos, P. and Paragios, N.}
}
@conference {Kappes-et-al-08,
	title = {MAP-Inference for Highly-Connected Graphs with DC-Programming},
	booktitle = {Pattern Recognition -- 30th DAGM Symposium},
	volume = {5096},
	year = {2008},
	pages = {1--10},
	publisher = {Springer Verlag},
	organization = {Springer Verlag},
	author = {J{\"o}rg H. Kappes and Christoph Schn{\"o}rr}
}
@article {Welk-et-al-07,
	title = {Median and related local filters for tensor-valued images},
	journal = {Signal Processing},
	volume = {87},
	year = {2007},
	pages = {291-308},
	author = {Welk, M. and Weickert, J. and Florian Becker and Christoph Schn{\"o}rr and Feddern, C. and Burgeth, B.}
}
@article {Bruhn-et-al-06,
	title = {A Multigrid Platform for Real-Time Motion Computation with Discontinuity-Preserving Variational Methods},
	journal = {Int. J. Computer Vision},
	volume = {70},
	number = {3},
	year = {2006},
	pages = {257-277},
	author = {Bruhn, Andr{\'e}s and Weickert, Joachim and Kohlberger, Timo and Christoph Schn{\"o}rr}
}
@article {Bruhn-et-al-06,
	title = {A Multigrid Platform for Real-Time Motion Computation with Discontinuity-Preserving Variational Methods},
	journal = {Int.~J.~Computer Vision},
	volume = {70},
	number = {3},
	year = {2006},
	pages = {257-277},
	author = {Bruhn, Andr{\'e}s and Weickert, Joachim and Kohlberger, Timo and Christoph Schn{\"o}rr}
}
@article {Cremers-et-al-06,
	title = {Multiphase Dynamic Labeling for Variational Recognition-Driven Image Segmentation},
	journal = {ijcv},
	volume = {66},
	number = {1},
	year = {2006},
	pages = {67-81},
	author = {Daniel Cremers and Sochen, Nir and Christoph Schn{\"o}rr}
}
@conference {Welk-et-al-05a,
	title = {Matrix-Valued Filters as Convex Programs},
	booktitle = {Scale-Space 2005},
	series = {lncs},
	volume = {3459},
	year = {2005},
	pages = {204{\textendash}216},
	publisher = {Springer},
	organization = {Springer},
	author = {Welk, Martin and Florian Becker and Christoph Schn{\"o}rr and Weickert, Joachim}
}
@conference {Cremers-et-al-04,
	title = {Multiphase Dynamic Labeling for Variational Recognition-Driven Image Segmentation},
	booktitle = {Computer Vision {\textendash} ECCV 2004},
	series = {lncs},
	volume = {3024},
	year = {2004},
	pages = {74-86},
	publisher = {Springer},
	organization = {Springer},
	author = {Daniel Cremers and Sochen, Nir and Christoph Schn{\"o}rr},
	editor = {Pajdla, T. and Matas, J.}
}
@conference {Cremers-Schnoerr-02,
	title = {Motion Competition: Variational Integration of Motion Segmentation and Shape Regularization},
	booktitle = {Pattern Recognition, Proc. 24th DAGM Symposium},
	series = {lncs},
	volume = {2449},
	year = {2002},
	pages = {472{\textendash}480},
	publisher = {Springer},
	organization = {Springer},
	address = {Z{\"u}rich, Switzerland},
	author = {Daniel Cremers and Christoph Schn{\"o}rr},
	editor = {van Gool, L.}
}
