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

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Jörg H. Kappes - , Heidelberg University  (Author)
  • Bjoern Andres - , Max Planck Institute for Informatics (Author)
  • Fred A. Hamprecht - , Heidelberg University  (Author)
  • Christoph Schnörr - , Heidelberg University  (Author)
  • Sebastian Nowozin - , Microsoft Research Cambridge (Author)
  • Dhruv Batra - , Virginia Polytechnic Institute and State University (Author)
  • Sungwoong Kim - , Qualcomm (Author)
  • Bernhard X. Kausler - , Heidelberg University  (Author)
  • Thorben Kröger - , Heidelberg University  (Author)
  • Jan Lellmann - , University of Cambridge (Author)
  • Nikos Komodakis - , École des Ponts ParisTech (Author)
  • Bogdan Savchynskyy - , Chair of Image Processing (Author)
  • Carsten Rother - , Chair of Image Processing (Author)

Abstract

Szeliski et al. published an influential study in 2006 on energy minimization methods for Markov random fields. This study provided valuable insights in choosing the best optimization technique for certain classes of problems. While these insights remain generally useful today, the phenomenal success of random field models means that the kinds of inference problems that have to be solved changed significantly. Specifically, the models today often include higher order interactions, flexible connectivity structures, large label-spaces of different cardinalities, or learned energy tables. To reflect these changes, we provide a modernized and enlarged study. We present an empirical comparison of more than 27 state-of-the-art optimization techniques on a corpus of 2453 energy minimization instances from diverse applications in computer vision. To ensure reproducibility, we evaluate all methods in the OpenGM 2 framework and report extensive results regarding runtime and solution quality. Key insights from our study agree with the results of Szeliski et al. for the types of models they studied. However, on new and challenging types of models our findings disagree and suggest that polyhedral methods and integer programming solvers are competitive in terms of runtime and solution quality over a large range of model types.

Details

Original languageEnglish
Pages (from-to)155-184
Number of pages30
JournalInternational journal of computer vision
Volume115
Issue number2
Publication statusPublished - 2015
Peer-reviewedYes

External IDs

Scopus 84942984745
ORCID /0000-0001-5036-9162/work/161888477

Keywords

Library keywords