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Volumn 115, Issue 2, 2015, Pages 155-184

A Comparative Study of Modern Inference Techniques for Structured Discrete Energy Minimization Problems

Author keywords

Benchmark; Combinatorial optimization; Discrete graphical models

Indexed keywords

BENCHMARKING; COMBINATORIAL OPTIMIZATION; COMPUTER VISION; MARKOV PROCESSES;

EID: 84942984745     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-015-0809-x     Document Type: Article
Times cited : (190)

References (84)
  • 2
    • 51949095823 scopus 로고    scopus 로고
    • Reduce, reuse and recycle: Efficiently solving multi-label MRFs
    • Alahari, K., Kohli, P., & Torr, P. H. S. (2008). Reduce, reuse and recycle: Efficiently solving multi-label MRFs. In: CVPR.
    • (2008) In: CVPR
    • Alahari, K.1    Kohli, P.2    Torr, P.H.S.3
  • 3
    • 77956059661 scopus 로고    scopus 로고
    • Dynamic hybrid algorithms for MAP inference in discrete MRFs
    • Alahari, K., Kohli, P., & Torr, P. H. S. (2010). Dynamic hybrid algorithms for MAP inference in discrete MRFs. IEEE PAMI, 32(10), 1846–1857.
    • (2010) IEEE PAMI , vol.32 , Issue.10 , pp. 1846-1857
    • Alahari, K.1    Kohli, P.2    Torr, P.H.S.3
  • 4
    • 84942996942 scopus 로고    scopus 로고
    • Andres, B., Beier, T., & Kappes, J. H. (2014). OpenGM2.
    • Andres, B., Beier, T., & Kappes, J. H. (2014). OpenGM2. http://hci.iwr.uni-heidelberg.de/opengm2/.
  • 5
    • 84887326966 scopus 로고    scopus 로고
    • A C++ library for discrete graphical models, ArXiv e-prints
    • Andres, B., Beier, T., & Kappes, J. H. (2012). OpenGM: A C++ library for discrete graphical models. ArXiv e-prints. http://arxiv.org/abs/1206.0111.
    • (2012) OpenGM
    • Andres, B.1    Beier, T.2    Kappes, J.H.3
  • 6
    • 84856645678 scopus 로고    scopus 로고
    • Andres, B., Kappes, J. H., Beier, T., Köthe, U., & Hamprecht, F. A. (2011). Probabilistic image segmentation with closedness constraints. In ICCV.
    • Andres, B., Kappes, J. H., Beier, T., Köthe, U., & Hamprecht, F. A. (2011). Probabilistic image segmentation with closedness constraints. In ICCV.
  • 7
    • 84942996945 scopus 로고    scopus 로고
    • Andres, B., Kappes, J. H., Beier, T., Köthe, U., & Hamprecht, F. A. (2012). The lazy flipper: Efficient depth-limited exhaustive search in discrete graphical models. In ECCV.
    • Andres, B., Kappes, J. H., Beier, T., Köthe, U., & Hamprecht, F. A. (2012). The lazy flipper: Efficient depth-limited exhaustive search in discrete graphical models. In ECCV.
  • 8
    • 84942996946 scopus 로고    scopus 로고
    • Andres, B., Kappes, J. H., Köthe, U., Schnörr, C., & Hamprecht, F. A. (2010). An empirical comparison of inference algorithms for graphical models with higher order factors using OpenGM. In DAGM.
    • Andres, B., Kappes, J. H., Köthe, U., Schnörr, C., & Hamprecht, F. A. (2010). An empirical comparison of inference algorithms for graphical models with higher order factors using OpenGM. In DAGM.
  • 9
    • 84859423151 scopus 로고    scopus 로고
    • Andres, B., Köthe, U., Kroeger, T., Helmstaedter, M., Briggman, K. L., Denk, W., & Hamprecht, F. A. (2012). 3D segmentation of SBFSEM images of neuropil by a graphical model over supervoxel boundaries. Medical Image Analysis, 16(4), 796–805
    • Andres, B., Köthe, U., Kroeger, T., Helmstaedter, M., Briggman, K. L., Denk, W., & Hamprecht, F. A. (2012). 3D segmentation of SBFSEM images of neuropil by a graphical model over supervoxel boundaries. Medical Image Analysis, 16(4), 796–805. doi:10.1016/j.media.2011.11.004. http://www.sciencedirect.com/science/article/pii/S1361841511001666.
  • 10
    • 84942996948 scopus 로고    scopus 로고
    • Andres, B., Kröger, T., Briggman, K. L., Denk, W., Korogod, N., Knott, G., Köthe, U., & Hamprecht, F. A. (2012). Globally optimal closed-surface segmentation for connectomics. In ECCV.
    • Andres, B., Kröger, T., Briggman, K. L., Denk, W., Korogod, N., Knott, G., Köthe, U., & Hamprecht, F. A. (2012). Globally optimal closed-surface segmentation for connectomics. In ECCV.
  • 11
    • 80052912045 scopus 로고    scopus 로고
    • Batra, D., & Kohli, P. (2011). Making the right moves: Guiding alpha-expansion using local primal-dual gaps. In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2011 (pp. 1865–1872). IEEE.
    • Batra, D., & Kohli, P. (2011). Making the right moves: Guiding alpha-expansion using local primal-dual gaps. In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2011 (pp. 1865–1872). IEEE.
  • 12
    • 75149167171 scopus 로고    scopus 로고
    • A study of parts-based object class detection using complete graphs
    • Bergtholdt, M., Kappes, J. H., Schmidt, S., & Schnörr, C. (2010). A study of parts-based object class detection using complete graphs. IJCV, 87(1–2), 93–117.
    • (2010) IJCV , vol.87 , Issue.1-2 , pp. 93-117
    • Bergtholdt, M.1    Kappes, J.H.2    Schmidt, S.3    Schnörr, C.4
  • 14
    • 84905380039 scopus 로고    scopus 로고
    • Lifting and separation procedures for the cut polytope
    • Bonato, T., Jünger, M., Reinelt, G., & Rinaldi, G. (2014). Lifting and separation procedures for the cut polytope. Mathematical Programming A, 146(1–2), 351–378. doi:10.1007/s10107-013-0688-2.
    • (2014) Mathematical Programming A , vol.146 , Issue.1-2 , pp. 351-378
    • Bonato, T.1    Jünger, M.2    Reinelt, G.3    Rinaldi, G.4
  • 15
    • 0344551963 scopus 로고    scopus 로고
    • Boykov, Y. (2003). Computing geodesics and minimal surfaces via graph cuts. In ICCV.
    • Boykov, Y. (2003). Computing geodesics and minimal surfaces via graph cuts. In ICCV.
  • 16
    • 0035509961 scopus 로고    scopus 로고
    • Fast approximate energy minimization via graph cuts
    • Boykov, Y., Veksler, O., & Zabih, R. (2001). Fast approximate energy minimization via graph cuts. IEEE PAMI, 23(11), 1222–1239. doi:10.1109/34.969114.
    • (2001) IEEE PAMI , vol.23 , Issue.11 , pp. 1222-1239
    • Boykov, Y.1    Veksler, O.2    Zabih, R.3
  • 19
    • 23844432639 scopus 로고    scopus 로고
    • A linear programming formulation and approximation algorithms for the metric labeling problem
    • Chekuri, C., Khanna, S., Naor, J., & Zosin, L. (2004). A linear programming formulation and approximation algorithms for the metric labeling problem. SIAM Journal of Discrete Mathematics, 18(3), 608–625.
    • (2004) SIAM Journal of Discrete Mathematics , vol.18 , Issue.3 , pp. 608-625
    • Chekuri, C.1    Khanna, S.2    Naor, J.3    Zosin, L.4
  • 20
    • 21544432712 scopus 로고    scopus 로고
    • Brainweb: Online interface to a 3d MRI simulated brain database
    • Cocosco, C. A., Kollokian, V., Kwan, R. S., & Evans, A. C. (1997). Brainweb: Online interface to a 3d MRI simulated brain database. NeuroImage, 5(4), S425.
    • (1997) NeuroImage , vol.5 , Issue.4 , pp. 425
    • Cocosco, C.A.1    Kollokian, V.2    Kwan, R.S.3    Evans, A.C.4
  • 21
    • 84942996951 scopus 로고    scopus 로고
    • IBM, ILOG CPLEX Optimizer. (2013).
    • IBM, ILOG CPLEX Optimizer. http://www-01.ibm.com/software/integration/optimization/cplex-optimizer/ (2013).
  • 22
    • 84855348351 scopus 로고    scopus 로고
    • Delong, A., Osokin, A., Isack, H., & Boykov, Y. (2012). Fast approximate energy minimization with label costs. International Journal of Computer Vision, 96, 1–27.
    • Delong, A., Osokin, A., Isack, H., & Boykov, Y. (2012). Fast approximate energy minimization with label costs. International Journal of Computer Vision, 96, 1–27. http://www.csd.uwo.ca/~yuri/Abstracts/ijcv10_lc-abs.shtml.
  • 23
    • 84942996953 scopus 로고    scopus 로고
    • Elidan, G., & Globerson, A. (2011) The probabilistic inference challenge (PIC2011).
    • Elidan, G., & Globerson, A. (2011) The probabilistic inference challenge (PIC2011). http://www.cs.huji.ac.il/project/PASCAL/.
  • 25
    • 84856631976 scopus 로고    scopus 로고
    • Fix, A., Gruber, A., Boros, E., & Zabih, R. (2011). A graph cut algorithm for higher-order Markov random fields. In ICCV
    • Fix, A., Gruber, A., Boros, E., & Zabih, R. (2011). A graph cut algorithm for higher-order Markov random fields. In ICCV. doi:10.1109/ICCV.2011.6126347.
  • 26
    • 80052900725 scopus 로고    scopus 로고
    • Gallagher, A. C., Batra, D., & Parikh, D. (2011). Inference for order reduction in Markov random fields. In CVPR.
    • Gallagher, A. C., Batra, D., & Parikh, D. (2011). Inference for order reduction in Markov random fields. In CVPR.
  • 27
    • 84942996956 scopus 로고    scopus 로고
    • Globerson, A., & Jaakkola, T. (2007). Fixing max-product: Convergent message passing algorithms for MAP LP-relaxations. In NIPS.
    • Globerson, A., & Jaakkola, T. (2007). Fixing max-product: Convergent message passing algorithms for MAP LP-relaxations. In NIPS.
  • 28
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • Goldberg, D. (1991). What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys, 23(1), 5–48. doi:10.1145/103162.103163.
    • (1991) ACM Computing Surveys , vol.23 , Issue.1 , pp. 5-48
    • Goldberg, D.1
  • 29
    • 84942996957 scopus 로고    scopus 로고
    • Gorelick, L., Veksler, O., Boykov, Y., Ben Ayed, I., & Delong, A. (2014). Local submodular approximations for binary pairwise energies. In Computer Vision and Pattern Recognition.
    • Gorelick, L., Veksler, O., Boykov, Y., Ben Ayed, I., & Delong, A. (2014). Local submodular approximations for binary pairwise energies. In Computer Vision and Pattern Recognition.
  • 30
    • 77953205895 scopus 로고    scopus 로고
    • Gould, S., Fulton, R., & Koller, D. (2009). Decomposing a scene into geometric and semantically consistent regions. In ICCV.
    • Gould, S., Fulton, R., & Koller, D. (2009). Decomposing a scene into geometric and semantically consistent regions. In ICCV.
  • 31
    • 0023451776 scopus 로고
    • Lagrangean decomposition: A model yielding stronger Lagrangean bounds
    • Guignard, M., & Kim, S. (1987). Lagrangean decomposition: A model yielding stronger Lagrangean bounds. Mathematical Programming, 39(2), 215–228.
    • (1987) Mathematical Programming , vol.39 , Issue.2 , pp. 215-228
    • Guignard, M.1    Kim, S.2
  • 32
    • 79851509434 scopus 로고    scopus 로고
    • Recovering occlusion boundaries from an image
    • Hoiem, D., Efros, A. A., & Hebert, M. (2011). Recovering occlusion boundaries from an image. IJCV, 91(3), 328–346.
    • (2011) IJCV , vol.91 , Issue.3 , pp. 328-346
    • Hoiem, D.1    Efros, A.A.2    Hebert, M.3
  • 33
    • 36348982863 scopus 로고    scopus 로고
    • Efficient stochastic local search for MPE solving. In L. P. Kaelbling & A. Saffiotti (Eds.), IJCAI (pp
    • Hutter, F., Hoos, H. H., & Stützle, T. (2005). Efficient stochastic local search for MPE solving. In L. P. Kaelbling & A. Saffiotti (Eds.), IJCAI (pp. 169–174).
    • (2005) 169–174)
    • Hutter, F.1    Hoos, H.H.2    Stützle, T.3
  • 34
    • 33646001111 scopus 로고    scopus 로고
    • Towards an integrated protein–protein interaction network: A relational Markov network approach
    • Jaimovich, A., Elidan, G., Margalit, H., & Friedman, N. (2006). Towards an integrated protein–protein interaction network: A relational Markov network approach. Journal of Computational Biology, 13(2), 145–164.
    • (2006) Journal of Computational Biology , vol.13 , Issue.2 , pp. 145-164
    • Jaimovich, A.1    Elidan, G.2    Margalit, H.3    Friedman, N.4
  • 35
    • 84887352082 scopus 로고    scopus 로고
    • Kappes, J. H., Andres, B., Hamprecht, F. A., Schnörr, C., Nowozin, S., Batra, D., Kim, S., Kausler, B. X., Lellmann, J., Komodakis, N., & Rother, C. (2013). A comparative study of modern inference techniques for discrete energy minimization problem. In CVPR.
    • Kappes, J. H., Andres, B., Hamprecht, F. A., Schnörr, C., Nowozin, S., Batra, D., Kim, S., Kausler, B. X., Lellmann, J., Komodakis, N., & Rother, C. (2013). A comparative study of modern inference techniques for discrete energy minimization problem. In CVPR.
  • 36
    • 84942996961 scopus 로고    scopus 로고
    • Kappes, J. H., Beier, T., & Schnörr, C. (2014). MAP-inference on large scale higher-order discrete graphical models by fusion moves. In ECCV—International Workshop on Graphical Models in Computer Vision.
    • Kappes, J. H., Beier, T., & Schnörr, C. (2014). MAP-inference on large scale higher-order discrete graphical models by fusion moves. In ECCV—International Workshop on Graphical Models in Computer Vision.
  • 37
    • 84866653674 scopus 로고    scopus 로고
    • Kappes, J. H., Savchynskyy, B., & Schnörr, C. (2012). A bundle approach to efficient MAP-inference by Lagrangian relaxation. In CVPR.
    • Kappes, J. H., Savchynskyy, B., & Schnörr, C. (2012). A bundle approach to efficient MAP-inference by Lagrangian relaxation. In CVPR.
  • 38
    • 84942996963 scopus 로고    scopus 로고
    • Kappes, J. H., Speth, M., Andres, B., Reinelt, G., & Schnörr, C. (2011). Globally optimal image partitioning by multicuts. In EMMCVPR.
    • Kappes, J. H., Speth, M., Andres, B., Reinelt, G., & Schnörr, C. (2011). Globally optimal image partitioning by multicuts. In EMMCVPR.
  • 39
    • 84942996964 scopus 로고    scopus 로고
    • Higher-order segmentation via multicuts, ArXiv e-prints
    • Kappes, J. H., Speth, M., Reinelt, G., & Schnörr, C. (2013). Higher-order segmentation via multicuts. ArXiv e-prints. http://arxiv.org/abs/1305.6387.
    • (2013) & Schnörr, C
    • Kappes, J.H.1    Speth, M.2    Reinelt, G.3
  • 40
    • 84942996964 scopus 로고    scopus 로고
    • Towards efficient and exact MAP-inference for large scale discrete computer vision problems via combinatorial optimization, InCVPR
    • Kappes, J. H., Speth, M., Reinelt, G., & Schnörr, C. (2013). Towards efficient and exact MAP-inference for large scale discrete computer vision problems via combinatorial optimization. InCVPR.
    • (2013) & Schnörr, C
    • Kappes, J.H.1    Speth, M.2    Reinelt, G.3
  • 41
    • 84942996965 scopus 로고    scopus 로고
    • Kausler, B. X., Schiegg, M., Andres, B., Lindner, M., Leitte, H., Hufnagel, L., Koethe, U., & Hamprecht, F. A. (2012). A discrete chain graph model for 3d+t cell tracking with high misdetection robustness. In ECCV.
    • Kausler, B. X., Schiegg, M., Andres, B., Lindner, M., Leitte, H., Hufnagel, L., Koethe, U., & Hamprecht, F. A. (2012). A discrete chain graph model for 3d+t cell tracking with high misdetection robustness. In ECCV.
  • 42
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • Kernighan, B. W., & Lin, S. (1970). An efficient heuristic procedure for partitioning graphs. The Bell Systems Technical Journal, 49(2), 291–307.
    • (1970) The Bell Systems Technical Journal , vol.49 , Issue.2 , pp. 291-307
    • Kernighan, B.W.1    Lin, S.2
  • 43
    • 85162443754 scopus 로고    scopus 로고
    • Higher-order correlation clustering for image segmentation
    • Kim, S., Nowozin, S., Kohli, P., & Yoo, C. D. (2011). Higher-order correlation clustering for image segmentation. In NIPS (pp. 1530–1538).
    • (2011) In NIPS , pp. 1530-1538
    • Kim, S.1    Nowozin, S.2    Kohli, P.3    Yoo, C.D.4
  • 44
    • 80052897111 scopus 로고    scopus 로고
    • Variable grouping for energy minimization
    • Kim, T., Nowozin, S., Kohli, P., & Yoo, C. D. (2011). Variable grouping for energy minimization. In CVPR (pp. 1913–1920).
    • (2011) In CVPR , pp. 1913-1920
    • Kim, T.1    Nowozin, S.2    Kohli, P.3    Yoo, C.D.4
  • 45
    • 0033335479 scopus 로고    scopus 로고
    • Kleinberg, J., & Tardos, É. (1999). Approximation algorithms for classification problems with pairwise relationships: Metric labeling and Markov random fields. In Proceedings of the Annual IEEE Symposium on Foundations of Computer Science (FOCS).
    • Kleinberg, J., & Tardos, É. (1999). Approximation algorithms for classification problems with pairwise relationships: Metric labeling and Markov random fields. In Proceedings of the Annual IEEE Symposium on Foundations of Computer Science (FOCS).
  • 46
    • 61349174704 scopus 로고    scopus 로고
    • Robust higher order potentials for enforcing label consistency
    • Kohli, P., Ladicky, L., & Torr, P. (2009). Robust higher order potentials for enforcing label consistency. International Journal of Computer Vision, 82(3), 302–324. doi:10.1007/s11263-008-0202-0.
    • (2009) International Journal of Computer Vision , vol.82 , Issue.3 , pp. 302-324
    • Kohli, P.1    Ladicky, L.2    Torr, P.3
  • 48
    • 33750129298 scopus 로고    scopus 로고
    • Convergent tree-reweighted message passing for energy minimization
    • Kolmogorov, V. (2006). Convergent tree-reweighted message passing for energy minimization. PAMI, 28(10), 1568–1583.
    • (2006) PAMI , vol.28 , Issue.10 , pp. 1568-1583
    • Kolmogorov, V.1
  • 49
    • 33745826319 scopus 로고    scopus 로고
    • Comparison of energy minimization algorithms for highly connected graphs
    • Kolmogorov, V., & Rother, C. (2006). Comparison of energy minimization algorithms for highly connected graphs. In ECCV (pp. 1–15).
    • (2006) In ECCV , pp. 1-15
    • Kolmogorov, V.1    Rother, C.2
  • 50
    • 84942996967 scopus 로고    scopus 로고
    • Kolmogorov, V., & Zabih, R. (2002). What energy functions can be minimized via graph cuts? In ECCV.
    • Kolmogorov, V., & Zabih, R. (2002). What energy functions can be minimized via graph cuts? In ECCV. http://dl.acm.org/citation.cfm?id=645317.649315.
  • 51
    • 84942996968 scopus 로고    scopus 로고
    • Komodakis, N., & Paragios, N. (2008). Beyond loose LP-relaxations: Optimizing MRFs by repairing cycles. In ECCV.
    • Komodakis, N., & Paragios, N. (2008). Beyond loose LP-relaxations: Optimizing MRFs by repairing cycles. In ECCV.
  • 53
    • 34447280839 scopus 로고    scopus 로고
    • Approximate labeling via graph cuts based on linear programming
    • Komodakis, N., & Tziritas, G. (2007). Approximate labeling via graph cuts based on linear programming. IEEE PAMI, 29(8), 1436–1453. doi:10.1109/TPAMI.2007.1061.
    • (2007) IEEE PAMI , vol.29 , Issue.8 , pp. 1436-1453
    • Komodakis, N.1    Tziritas, G.2
  • 55
  • 56
    • 84867868238 scopus 로고    scopus 로고
    • Continuous multiclass labeling approaches and algorithms
    • Lellmann, J., & Schnörr, C. (2011). Continuous multiclass labeling approaches and algorithms. SIAM Journal of Imaging Sciences, 4(4), 1049–1096.
    • (2011) SIAM Journal of Imaging Sciences , vol.4 , Issue.4 , pp. 1049-1096
    • Lellmann, J.1    Schnörr, C.2
  • 59
    • 84881183533 scopus 로고    scopus 로고
    • A survey and comparison of discrete and continuous multi-label optimization approaches for the Potts model
    • Nieuwenhuis, C., Toeppe, E., & Cremers, D. (2013). A survey and comparison of discrete and continuous multi-label optimization approaches for the Potts model. International Journal of Computer Vision, 104, 223–240. doi:10.1007/s11263-013-0619-y.
    • (2013) International Journal of Computer Vision , vol.104 , pp. 223-240
    • Nieuwenhuis, C.1    Toeppe, E.2    Cremers, D.3
  • 61
    • 84856642791 scopus 로고    scopus 로고
    • Nowozin, S., Rother, C., Bagon, S., Sharp, T., Yao, B., & Kohli, P. (2011). Decision tree fields. In ICCV (pp. 1668–1675). IEEE.
    • Nowozin, S., Rother, C., Bagon, S., Sharp, T., Yao, B., & Kohli, P. (2011). Decision tree fields. In ICCV (pp. 1668–1675). IEEE.
  • 62
    • 84919794589 scopus 로고    scopus 로고
    • Orabona, F., Hazan, T., Sarwate, A., & Jaakkola, T. (2014). On measure concentration of random maximum a-posteriori perturbations. In Proc. ICML.
    • Orabona, F., Hazan, T., Sarwate, A., & Jaakkola, T. (2014). On measure concentration of random maximum a-posteriori perturbations. In Proc. ICML.
  • 63
    • 80052907427 scopus 로고    scopus 로고
    • Submodular decomposition framework for inference in associative markov networks with global constraints
    • Osokin, A., Vetrov, D., & Kolmogorov, V. (2011). Submodular decomposition framework for inference in associative markov networks with global constraints. In CVPR (pp. 1889–1896).
    • (2011) In CVPR , pp. 1889-1896
    • Osokin, A.1    Vetrov, D.2    Kolmogorov, V.3
  • 64
    • 84893345186 scopus 로고    scopus 로고
    • Otten, L., & Dechter, R. (2011). Anytime AND/OR depth-first search for combinatorial optimization. In Proceedings of the Annual Symposium on Combinatorial Search (SOCS).
    • Otten, L., & Dechter, R. (2011). Anytime AND/OR depth-first search for combinatorial optimization. In Proceedings of the Annual Symposium on Combinatorial Search (SOCS).
  • 65
    • 84856654560 scopus 로고    scopus 로고
    • Papandreou, G., & Yuille, A. (2011). Perturb-and-MAP random fields: Using discrete optimization to learn and sample from energy models. In Proc. ICCV.
    • Papandreou, G., & Yuille, A. (2011). Perturb-and-MAP random fields: Using discrete optimization to learn and sample from energy models. In Proc. ICCV.
  • 67
    • 84887328994 scopus 로고    scopus 로고
    • Prua, D., & Werner, T. (2013). Universality of the local marginal polytope. In CVPR (pp. 1738–1743). IEEE.
    • Prua, D., & Werner, T. (2013). Universality of the local marginal polytope. In CVPR (pp. 1738–1743). IEEE.
  • 69
    • 24644490842 scopus 로고    scopus 로고
    • Rother, C., Kumar, S., Kolmogorov, V., & Blake, A. (2005). Digital tapestry. In Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’05) (Vol. 1, pp. 589–596). IEEE Computer Society, Washington, DC, USA
    • Rother, C., Kumar, S., Kolmogorov, V., & Blake, A. (2005). Digital tapestry. In Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’05) (Vol. 1, pp. 589–596). IEEE Computer Society, Washington, DC, USA. doi:10.1109/CVPR.2005.130.
  • 70
    • 84898982565 scopus 로고    scopus 로고
    • Savchynskyy, B., Kappes, J. H., Swoboda, P., & Schnörr, C. (2013). Global MAP-optimality by shrinking the combinatorial search area with convex relaxation. In NIPS.
    • Savchynskyy, B., Kappes, J. H., Swoboda, P., & Schnörr, C. (2013). Global MAP-optimality by shrinking the combinatorial search area with convex relaxation. In NIPS.
  • 72
    • 84942996979 scopus 로고    scopus 로고
    • Savchynskyy, B., & Schmidt, S. (2014). Getting feasible variable estimates from infeasible ones: MRF local polytope study. In Advanced structured prediction. MIT Press.
    • Savchynskyy, B., & Schmidt, S. (2014). Getting feasible variable estimates from infeasible ones: MRF local polytope study. In Advanced structured prediction. MIT Press.
  • 73
    • 84886018775 scopus 로고    scopus 로고
    • Efficient MRF energy minimization via adaptive diminishing smoothing
    • Savchynskyy, B., Schmidt, S., Kappes, J. H., & Schnörr, C. (2012). Efficient MRF energy minimization via adaptive diminishing smoothing. UAI, 2012, 746–755.
    • (2012) UAI , vol.2012 , pp. 746-755
    • Savchynskyy, B.1    Schmidt, S.2    Kappes, J.H.3    Schnörr, C.4
  • 74
    • 33947143988 scopus 로고
    • Sintaksicheskiy analiz dvumernykh zritelnikh signalov v usloviyakh pomekh (Syntactic analysis of two-dimensional visual signals in noisy conditions)
    • Schlesinger, M. (1976). Sintaksicheskiy analiz dvumernykh zritelnikh signalov v usloviyakh pomekh (Syntactic analysis of two-dimensional visual signals in noisy conditions). Kibernetika, 4, 113–130.
    • (1976) Kibernetika , vol.4 , pp. 113-130
    • Schlesinger, M.1
  • 75
    • 84886049973 scopus 로고    scopus 로고
    • Efficiently searching for frustrated cycles in MAP inference. In N. de Freitas & K. P. Murphy (Eds.) UAI (pp. 795–804)
    • Sontag, D., Choe, D. K., & Li, Y. (2012). Efficiently searching for frustrated cycles in MAP inference. In N. de Freitas & K. P. Murphy (Eds.) UAI (pp. 795–804). AUAI Press.
    • (2012) AUAI Press
    • Sontag, D.1    Choe, D.K.2    Li, Y.3
  • 76
    • 43249091850 scopus 로고    scopus 로고
    • A comparative study of energy minimization methods for Markov random fields with smoothness-based priors
    • Szeliski, R., Zabih, R., Scharstein, D., Veksler, O., Kolmogorov, V., Agarwala, A., et al. (2008). A comparative study of energy minimization methods for Markov random fields with smoothness-based priors. IEEE PAMI, 30(6), 1068–1080. doi:10.1109/TPAMI.2007.70844.
    • (2008) IEEE PAMI , vol.30 , Issue.6 , pp. 1068-1080
    • Szeliski, R.1    Zabih, R.2    Scharstein, D.3    Veksler, O.4    Kolmogorov, V.5    Agarwala, A.6
  • 77
    • 80053447070 scopus 로고    scopus 로고
    • Tarlow, D., Batra, D., Kohli, P., & Kolmogorov, V. (2011). Dynamic tree block coordinate ascent. In Proceedings of the International Conference on Machine Learning (ICML).
    • Tarlow, D., Batra, D., Kohli, P., & Kolmogorov, V. (2011). Dynamic tree block coordinate ascent. In Proceedings of the International Conference on Machine Learning (ICML).
  • 78
    • 84898428842 scopus 로고    scopus 로고
    • Maxflow revisited: An empirical comparison of maxflow algorithms for dense vision problems
    • Verma, T., & Batra, D. (2012). Maxflow revisited: An empirical comparison of maxflow algorithms for dense vision problems. In BMVC (pp. 1–12).
    • (2012) In BMVC , pp. 1-12
    • Verma, T.1    Batra, D.2
  • 79
    • 27744456278 scopus 로고    scopus 로고
    • MAP estimation via agreement on trees: Message-passing and linear programming
    • Wainwright, M. J., Jaakkola, T., & Willsky, A. S. (2005). MAP estimation via agreement on trees: Message-passing and linear programming. IEEE Transactions on Information Theory, 51(11), 3697–3717.
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.11 , pp. 3697-3717
    • Wainwright, M.J.1    Jaakkola, T.2    Willsky, A.S.3
  • 80
    • 34249652006 scopus 로고    scopus 로고
    • A linear programming approach to max-sum problem: A review
    • Werner, T. (2007). A linear programming approach to max-sum problem: A review. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(7), 1165–1179. doi:10.1109/TPAMI.2007.1036.
    • (2007) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.29 , Issue.7 , pp. 1165-1179
    • Werner, T.1
  • 83
    • 51349094337 scopus 로고    scopus 로고
    • Minimizing and learning energy functions for side-chain prediction
    • Yanover, C., Schueler-Furman, O., & Weiss, Y. (2008). Minimizing and learning energy functions for side-chain prediction. Journal of Computational Biology, 15(7), 899–911.
    • (2008) Journal of Computational Biology , vol.15 , Issue.7 , pp. 899-911
    • Yanover, C.1    Schueler-Furman, O.2    Weiss, Y.3
  • 84
    • 0142016107 scopus 로고    scopus 로고
    • Constructing free energy approximations and generalized belief propagation algorithms
    • Yedidia, J. S., Freeman, W. T., & Weiss, Y. (2004). Constructing free energy approximations and generalized belief propagation algorithms. MERL Technical Report, 2004–040. http://www.merl.com/papers/docs/TR2004-040.
    • (2004) MERL Technical Report , pp. 2004-2040
    • Yedidia, J.S.1    Freeman, W.T.2    Weiss, Y.3


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