Learning to Count with Back-propagated Information

Error back-propagation is one of the principled learning strategies widely used in pattern recognition and machine learning, e.g. neural networks. The existing frameworks employed back-propagated error as a performance criteria (or termed, object function) aiming for supervising model-learning. Inspired by the recent success achieved by learning with the privileged information (LPI), we propose a novel regression-based framework by extending the concept of back-propagation in supervised learning methods to high-level guiding the model learning, so the proposed model is able to mine the importance of samples contributed to the fitting performance, which is missed in the existing regression techniques. To verify the effectiveness of the proposed learning paradigm, both low-level imagery features and intermediary semantic attributes are adopted in this paper. Extensive evaluations on pedestrian counting with public UCSD and Mall benchmarks demonstrate that the effectiveness of the proposed framework.

[1]  Nuno Vasconcelos,et al.  Privacy preserving crowd monitoring: Counting people without people models or tracking , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[2]  Binghuang Cai,et al.  Common Nature of Learning Exemplified by BP and Hopfield Neural Networks for Solving Online a System of Linear Equations , 2008, 2008 IEEE International Conference on Networking, Sensing and Control.

[3]  Heng Yang,et al.  Privileged information-based conditional regression forest for facial feature detection , 2013, 2013 10th IEEE International Conference and Workshops on Automatic Face and Gesture Recognition (FG).

[4]  Ramakant Nevatia,et al.  Segmentation and Tracking of Multiple Humans in Crowded Environments , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Serge J. Belongie,et al.  Counting Crowded Moving Objects , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[6]  Robert M. Haralick,et al.  Textural Features for Image Classification , 1973, IEEE Trans. Syst. Man Cybern..

[7]  Sridha Sridharan,et al.  Crowd Counting Using Multiple Local Features , 2009, 2009 Digital Image Computing: Techniques and Applications.

[8]  SITI MERIAM ZAHARI,et al.  Weighted Ridge MM-Estimator in Robust Ridge Regression with Multicollinearity , 2012 .

[9]  Yi-Ping Hung,et al.  Ordinal hyperplanes ranker with cost sensitivities for age estimation , 2011, CVPR 2011.

[10]  Yang Wang,et al.  Cost-sensitive boosting for classification of imbalanced data , 2007, Pattern Recognit..

[11]  Zhi-Hua Zhou,et al.  Automatic Age Estimation Based on Facial Aging Patterns , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  Tieniu Tan,et al.  Estimating the number of people in crowded scenes by MID based foreground segmentation and head-shoulder detection , 2008, 2008 19th International Conference on Pattern Recognition.

[13]  Roberto Cipolla,et al.  Unsupervised Bayesian Detection of Independent Motion in Crowds , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[14]  Christoph H. Lampert,et al.  Learning to Rank Using Privileged Information , 2013, 2013 IEEE International Conference on Computer Vision.

[15]  Shaogang Gong,et al.  Feature Mining for Localised Crowd Counting , 2012, BMVC.

[16]  Yangsheng Xu,et al.  Crowd Density Estimation Using Texture Analysis and Learning , 2006, 2006 IEEE International Conference on Robotics and Biomimetics.

[17]  Andrew Zisserman,et al.  Learning To Count Objects in Images , 2010, NIPS.

[18]  Yi-Ping Hung,et al.  2010 International Conference on Pattern Recognition A RANKING APPROACH FOR HUMAN AGE ESTIMATION BASED ON FACE IMAGES , 2022 .

[19]  Luciano da Fontoura Costa,et al.  Estimating crowd density with Minkowski fractal dimension , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[20]  Vladimir Vapnik,et al.  A new learning paradigm: Learning using privileged information , 2009, Neural Networks.

[21]  Lei Huang,et al.  Crowd density analysis using co-occurrence texture features , 2010, 5th International Conference on Computer Sciences and Convergence Information Technology.

[22]  Robert T. Collins,et al.  Marked point processes for crowd counting , 2009, CVPR.

[23]  John Langford,et al.  Cost-sensitive learning by cost-proportionate example weighting , 2003, Third IEEE International Conference on Data Mining.

[24]  Shaogang Gong,et al.  Cumulative Attribute Space for Age and Crowd Density Estimation , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[25]  P. Holland Weighted Ridge Regression: Combining Ridge and Robust Regression Methods , 1973 .

[26]  Shaogang Gong,et al.  From Semi-supervised to Transfer Counting of Crowds , 2013, 2013 IEEE International Conference on Computer Vision.

[27]  Nuno Vasconcelos,et al.  Counting People With Low-Level Features and Bayesian Regression , 2012, IEEE Transactions on Image Processing.

[28]  Ullrich Köthe,et al.  Learning to count with regression forest and structured labels , 2012, Proceedings of the 21st International Conference on Pattern Recognition (ICPR2012).

[29]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.