A Robust Information Clustering Algorithm

  • Authors:
  • Qing Song

  • Affiliations:
  • School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798

  • Venue:
  • Neural Computation
  • Year:
  • 2005

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Abstract

We focus on the scenario of robust information clustering (RIC) based on the minimax optimization of mutual information (MI). The minimization of MI leads to the standard mass-constrained deterministic annealing clustering, which is an empirical risk-minimization algorithm. The maximization of MI works out an upper bound of the empirical risk via the identification of outliers (noisy data points). Furthermore, we estimate the real risk VC-bound and determine an optimal cluster number of the RIC based on the structural risk-minimization principle. One of the main advantages of the minimax optimization of MI is that it is a nonparametric approach, which identifies the outliers through the robust density estimate and forms a simple data clustering algorithm based on the square error of the Euclidean distance.