Statistical Baselines from Random Matrix Theory

  • Authors:
  • Marotesa Voultsidou;J. Michael Herrmann

  • Affiliations:
  • Department of Physics, University of Crete, Heraklion, Greece;Institute for Perception, Action and Behaviour Informatics Forum, University of Edinburgh, Edinburgh, U.K. EH8 9AB

  • Venue:
  • IDEAL '08 Proceedings of the 9th International Conference on Intelligent Data Engineering and Automated Learning
  • Year:
  • 2008

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Abstract

Quantitative descriptors of intrinsic properties of imaging data can be obtained from the theory of random matrices (RMT). Based on theoretical results for standardized data, RMT offers a systematic approach to surrogate data which allows us to evaluate the significance of deviations from the random baseline. Considering exemplary fMRI data sets recorded at a visuo-motor task and rest, we show their distinguishability by RMT-based quantities and demonstrate that the degree of sparseness and of localization can be evaluated in a strict way, provided that the data are sufficiently well described by the pairwise cross-correlations.