A globally convergent mean-field inference method in dense Markov random fields

The Markov random fields are widely used models in machine vision applications. The mean-field inference methods are popular in the inference problem of markov random fields (MRFs), however, it requires large number of computation especially for dense markov random fields. Though several parallel mean-field methods have been developed to reduce computation complexity, none of them is global convergent. In this paper, a mean-field inference method that guaranteed to converge to a global optimum is developed. The experiment results show that the proposed method can handle inference problem of dense random fields effectively in image segmentation application.

[1]  Wotao Yin,et al.  A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update , 2014, J. Sci. Comput..

[2]  Vladimir Kolmogorov,et al.  What energy functions can be minimized via graph cuts? , 2002, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[3]  Vladlen Koltun,et al.  Parameter Learning and Convergent Inference for Dense Random Fields , 2013, ICML.

[4]  Pascal Fua,et al.  Principled Parallel Mean-Field Inference for Discrete Random Fields , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[5]  Ambuj Tewari,et al.  Composite objective mirror descent , 2010, COLT 2010.

[6]  Olga Veksler,et al.  Fast approximate energy minimization via graph cuts , 2001, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[7]  Sebastian Nowozin,et al.  A Comparative Study of Modern Inference Techniques for Discrete Energy Minimization Problems , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[8]  Antonio Criminisi,et al.  TextonBoost for Image Understanding: Multi-Class Object Recognition and Segmentation by Jointly Modeling Texture, Layout, and Context , 2007, International Journal of Computer Vision.

[9]  Andrew Adams,et al.  Fast High‐Dimensional Filtering Using the Permutohedral Lattice , 2010, Comput. Graph. Forum.

[10]  Sebastian Nowozin,et al.  Structured Learning and Prediction in Computer Vision , 2011, Found. Trends Comput. Graph. Vis..