A Framework for Efficient Structured Max-Margin Learning of High-Order MRF Models

IEEE Transactions on Pattern Analysis and Machine Intelligence
Nikos KomodakisNikos Paragios

Abstract

We present a very general algorithm for structured prediction learning that is able to efficiently handle discrete MRFs/CRFs (including both pairwise and higher-order models) so long as they can admit a decomposition into tractable subproblems. At its core, it relies on a dual decomposition principle that has been recently employed in the task of MRF optimization. By properly combining such an approach with a max-margin learning method, the proposed framework manages to reduce the training of a complex high-order MRF to the parallel training of a series of simple slave MRFs that are much easier to handle. This leads to a very efficient and general learning scheme that relies on solid mathematical principles. We thoroughly analyze its theoretical properties, and also show that it can yield learning algorithms of increasing accuracy since it naturally allows a hierarchy of convex relaxations to be used for loss-augmented MAP-MRF inference within a max-margin learning approach. Furthermore, it can be easily adapted to take advantage of the special structure that may be present in a given class of MRFs. We demonstrate the generality and flexibility of our approach by testing it on a variety of scenarios, including training of pairw...Continue Reading

References

Aug 16, 2002·Neural Computation·Geoffrey E Hinton
Oct 27, 2006·IEEE Transactions on Pattern Analysis and Machine Intelligence·Leo Grady
May 15, 2007·IEEE Transactions on Pattern Analysis and Machine Intelligence·Tomás Werner
Apr 19, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Richard SzeliskiCarsten Rother
May 19, 2010·IEEE Transactions on Pattern Analysis and Machine Intelligence·Nikos KomodakisGeorgios Tziritas
Jul 17, 2010·IEEE Transactions on Pattern Analysis and Machine Intelligence·Pedro F FelzenszwalbDeva Ramanan
Aug 24, 2013·IEEE Transactions on Pattern Analysis and Machine Intelligence·Justin Domke

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Citations

Jan 16, 2008·BMC Bioinformatics·Marc VincentPaolo Frasconi
Jul 6, 2016·Medical Image Analysis·Nikos ParagiosEvangelia I Zacharaki
Mar 30, 2017·International Journal of Computer Assisted Radiology and Surgery·Atsushi SaitoAkinobu Shimizu

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