Online Bayesian Nonparametrics for Group Detection

Group detection represents an emerging Computer Vision research topic motivated by the increasing interest in modelling the social behaviour of people. This paper presents an unsupervised method for group detection which is based on an online inference process over Dirichlet Process Mixture Models. Formally, groups are modelled as components of an infinite mixture and individuals are seen as observations generated from them. The proposed sequential variational framework allows to perform inference in real-time, while social constraints based on proxemics rules ensure the production of proper group hypotheses consistent with human perception. The results obtained on several datasets compare favourably with state-of-the-art approaches, setting the best performance in some of them.

[1]  E. Hall,et al.  The Hidden Dimension , 1970 .

[2]  Radford M. Neal A new view of the EM algorithm that justifies incremental and other variants , 1993 .

[3]  Dan Klein,et al.  Online EM for Unsupervised Models , 2009, NAACL.

[4]  T. Ferguson A Bayesian Analysis of Some Nonparametric Problems , 1973 .

[5]  Silvio Savarese,et al.  What are they doing? : Collective activity classification using spatio-temporal relationship among people , 2009, 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops.

[6]  Gang Wang,et al.  Seeing People in Social Context: Recognizing People and Social Relationships , 2010, ECCV.

[7]  Eric P. Xing,et al.  Dynamic Non-Parametric Mixture Models and the Recurrent Chinese Restaurant Process: with Applications to Evolutionary Clustering , 2008, SDM.

[8]  John Soldera,et al.  Understanding people motion in video sequences using Voronoi diagrams , 2007, Pattern Analysis and Applications.

[9]  Robert T. Collins,et al.  Vision-Based Analysis of Small Groups in Pedestrian Crowds , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  A. Kendon Conducting Interaction: Patterns of Behavior in Focused Encounters , 1990 .

[11]  Luis E. Ortiz,et al.  Who are you with and where are you going? , 2011, CVPR 2011.

[12]  C. Antoniak Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems , 1974 .

[13]  David C. Hogg,et al.  Who knows who - Inverting the Social Force Model for finding groups , 2011, 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops).

[14]  Vittorio Murino,et al.  Decentralized particle filter for joint individual-group tracking , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[15]  Luc Van Gool,et al.  You'll never walk alone: Modeling social behavior for multi-target tracking , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[16]  Luc Van Gool,et al.  Improving Data Association by Joint Modeling of Pedestrian Trajectories and Groupings , 2010, ECCV.

[17]  Helbing,et al.  Social force model for pedestrian dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  Vittorio Murino,et al.  Analyzing Groups: A Social Signaling Perspective , 2012, Video Analytics for Business Intelligence.

[19]  Alessio Del Bue,et al.  Social interaction discovery by statistical analysis of F-formations , 2011, BMVC.

[20]  Michael I. Jordan,et al.  Variational inference for Dirichlet process mixtures , 2006 .

[21]  Soraia Raupp Musse,et al.  Modeling individual behaviors in crowd simulation , 2003, Proceedings 11th IEEE International Workshop on Program Comprehension.

[22]  Mark H. Overmars,et al.  Simulating and Evaluating the Local Behavior of Small Pedestrian Groups , 2012, IEEE Transactions on Visualization and Computer Graphics.

[23]  Dani Lischinski,et al.  Crowds by Example , 2007, Comput. Graph. Forum.

[24]  Craig W. Reynolds Flocks, herds, and schools: a distributed behavioral model , 1998 .

[25]  J. Sethuraman A CONSTRUCTIVE DEFINITION OF DIRICHLET PRIORS , 1991 .

[26]  Michel Bacq,et al.  In small groups , 2014 .

[27]  Maja Pantic,et al.  Social signal processing: Survey of an emerging domain , 2009, Image Vis. Comput..