A statistical similarity measure for aggregate crowd dynamics

  • Authors:
  • Stephen J. Guy;Jur van den Berg;Wenxi Liu;Rynson Lau;Ming C. Lin;Dinesh Manocha

  • Affiliations:
  • UNC-Chapel Hill;University of Utah;City University of Hong Kong;City University of Hong Kong;UNC-Chapel Hill;UNC-Chapel Hill

  • Venue:
  • ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
  • Year:
  • 2012

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Abstract

We present an information-theoretic method to measure the similarity between a given set of observed, real-world data and visual simulation technique for aggregate crowd motions of a complex system consisting of many individual agents. This metric uses a two-step process to quantify a simulator's ability to reproduce the collective behaviors of the whole system, as observed in the recorded real-world data. First, Bayesian inference is used to estimate the simulation states which best correspond to the observed data, then a maximum likelihood estimator is used to approximate the prediction errors. This process is iterated using the EM-algorithm to produce a robust, statistical estimate of the magnitude of the prediction error as measured by its entropy (smaller is better). This metric serves as a simulator-to-data similarity measurement. We evaluated the metric in terms of robustness to sensor noise, consistency across different datasets and simulation methods, and correlation to perceptual metrics.