Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.5555/2986459.2986624guideproceedingsArticle/Chapter ViewAbstractPublication PagesnipsConference Proceedingsconference-collections
Article

Spatial distance dependent Chinese restaurant processes for image segmentation

Published: 12 December 2011 Publication History

Abstract

The distance dependent Chinese restaurant process (ddCRP) was recently introduced to accommodate random partitions of non-exchangeable data [1]. The dd-CRP clusters data in a biased way: each data point is more likely to be clustered with other data that are near it in an external sense. This paper examines the dd-CRP in a spatial setting with the goal of natural image segmentation. We explore the biases of the spatial ddCRP model and propose a novel hierarchical extension better suited for producing "human-like" segmentations. We then study the sensitivity of the models to various distance and appearance hyperparameters, and provide the first rigorous comparison of nonparametric Bayesian models in the image segmentation domain. On unsupervised image segmentation, we demonstrate that similar performance to existing nonparametric Bayesian models is possible with substantially simpler models and algorithms.

References

[1]
D. M. Blei and P. I. Frazier. Distant dependent chinese restaurant processes. Journal of Machine Learning Research, 12:2461-2488, August 2011.
[2]
J. Pitman. Combinatorial Stochastic Processes. Lecture Notes for St. Flour Summer School. Springer-Verlag, New York, NY, 2002.
[3]
S. Geman and D. Geman. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on pattern analysis and machine intelligence, 6(6):721-741, November 1984.
[4]
Richard Socher, Andrew Maas, and Christopher D. Manning. Spectral chinese restaurant processes: Nonparametric clustering based on similarities. In Fourteenth International Conference on Artificial Intelligence and Statistics (AISTATS), 2011.
[5]
Y. W. Teh, M. I. Jordan, M. J. Beal, and D. M. Blei. Hierarchical Dirichlet processes. Journal of American Statistical Association, 25(2):1566 - 1581, 2006.
[6]
D. Comaniciu and P. Meer. Mean shift: A robust approach toward feature space analysis. IEEE Transactions on pattern analysis and machine intelligence, pages 603-619, 2002.
[7]
C. Rother, V. Kolmogorov, and A. Blake. Grabcut: Interactive foreground extraction using iterated graph cuts. In ACM Transactions on Graphics (TOG), volume 23, pages 309-314, 2004.
[8]
J. Shi and J. Malik. Normalized cuts and image segmentation. IEEE Trans. PAMI, 22(8):888-905, 2000.
[9]
C. Fowlkes, D. Martin, and J. Malik. Learning affinity functions for image segmentation: Combining patch-based and gradient-based approaches. CVPR, 2:54-61, 2003.
[10]
E. B. Sudderth and M. I. Jordan. Shared segmentation of natural scenes using dependent pitman-yor processes. NIPS 22, 2008.
[11]
P. Orbanz and J. M. Buhmann. Smooth image segmentation by nonparametric Bayesian inference. In ECCV, volume 1, pages 444-457, 2006.
[12]
Lan Du, Lu Ren, David Dunson, and Lawrence Carin. A bayesian model for simultaneous image clustering, annotation and object segmentation. In NIPS 22, pages 486-494. 2009.
[13]
J. Pitman and M. Yor. The two-parameter Poisson–Dirichlet distribution derived from a stable subordinator. Annals of Probability, 25(2):855-900, 1997.
[14]
J. A. Duan, M. Guindani, and A. E. Gelfand. Generalized spatial Dirichlet process models. Biometrika, 94(4):809-825, 2007.
[15]
X. Ren and J. Malik. Learning a classification model for segmentation. ICCV, 2003.
[16]
C. Carson, S. Belongie, H. Greenspan, and J. Malik. Blobworld: Image segmentation using expectation-maximization and its application to image querying. PAMI, 24(8):1026-1038, August 2002.
[17]
B. C. Russell, A. Torralba, K. P. Murphy, and W. T. Freeman. Labelme: A database web-based tool for image annotation. IJCV, 77:157-173, 2008.
[18]
C. Robert and G. Casella. Monte Carlo Statistical Methods. Springer Texts in Statistics. Springer-Verlag, New York, NY, 2004.
[19]
A. Oliva and A. Torralba. Modeling the shape of the scene: A holistic representation of the spatial envelope. IJCV, 42(3):145 - 175, 2001.
[20]
G. Mori. Guiding model search using segmentation. ICCV, 2005.
[21]
D. R. Martin, C.C. Fowlkes, and J. Malik. Learning to detect natural image boundaries using local brightness, color, and texture cues. IEEE Trans. PAMI, 26(5):530-549, 2004.
[22]
W.M. Rand. Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association, pages 846-850, 1971.

Cited By

View all
  • (2021)Permuton-induced Chinese restaurant processProceedings of the 35th International Conference on Neural Information Processing Systems10.5555/3540261.3542382(27695-27708)Online publication date: 6-Dec-2021
  • (2018)Simultaneous Urban Region Function Discovery and Popularity Estimation via an Infinite Urbanization Process ModelProceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining10.1145/3219819.3219987(2692-2700)Online publication date: 19-Jul-2018
  • (2017)Bayesian approach to Spatio-temporally Consistent Simulation of Daily Monsoon Rainfall over IndiaProceedings of the 25th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems10.1145/3139958.3139975(1-4)Online publication date: 7-Nov-2017
  • Show More Cited By

Index Terms

  1. Spatial distance dependent Chinese restaurant processes for image segmentation
          Index terms have been assigned to the content through auto-classification.

          Recommendations

          Comments

          Information & Contributors

          Information

          Published In

          cover image Guide Proceedings
          NIPS'11: Proceedings of the 25th International Conference on Neural Information Processing Systems
          December 2011
          2752 pages

          Publisher

          Curran Associates Inc.

          Red Hook, NY, United States

          Publication History

          Published: 12 December 2011

          Qualifiers

          • Article

          Contributors

          Other Metrics

          Bibliometrics & Citations

          Bibliometrics

          Article Metrics

          • Downloads (Last 12 months)0
          • Downloads (Last 6 weeks)0
          Reflects downloads up to 01 Jan 2025

          Other Metrics

          Citations

          Cited By

          View all
          • (2021)Permuton-induced Chinese restaurant processProceedings of the 35th International Conference on Neural Information Processing Systems10.5555/3540261.3542382(27695-27708)Online publication date: 6-Dec-2021
          • (2018)Simultaneous Urban Region Function Discovery and Popularity Estimation via an Infinite Urbanization Process ModelProceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining10.1145/3219819.3219987(2692-2700)Online publication date: 19-Jul-2018
          • (2017)Bayesian approach to Spatio-temporally Consistent Simulation of Daily Monsoon Rainfall over IndiaProceedings of the 25th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems10.1145/3139958.3139975(1-4)Online publication date: 7-Nov-2017
          • (2016)Semantic analysis of crowded scenes based on non-parametric tracklet clusteringProceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence10.5555/3061053.3061095(3389-3395)Online publication date: 9-Jul-2016
          • (2016)Discovering hierarchical topic evolution in time-stamped documentsJournal of the Association for Information Science and Technology10.1002/asi.2343967:4(915-927)Online publication date: 1-Apr-2016
          • (2014)Nonparametric clustering with distance dependent hierarchiesProceedings of the Thirtieth Conference on Uncertainty in Artificial Intelligence10.5555/3020751.3020779(260-269)Online publication date: 23-Jul-2014
          • (2012)From deformations to partsProceedings of the 26th International Conference on Neural Information Processing Systems - Volume 210.5555/2999325.2999358(1997-2005)Online publication date: 3-Dec-2012

          View Options

          View options

          Media

          Figures

          Other

          Tables

          Share

          Share

          Share this Publication link

          Share on social media