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Inference of Hidden Structures in Complex Physical Systems by Multi-scale Clustering

  • Z. NussinovEmail author
  • P. RonhovdeEmail author
  • Dandan HuEmail author
  • S. Chakrabarty
  • Bo Sun
  • Nicholas A. Mauro
  • Kisor K. Sahu
Chapter
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 225)

Abstract

We survey the application of a relatively new branch of statistical physics—“community detection ”—to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the quest of partitioning a complex system involving many elements into optimally decoupled subsets or communities of such elements. We review a multiresolution variant which is used to ascertain structures at different spatial and temporal scales. Significant patterns are obtained by examining the correlations between different independent solvers. Similar to other combinatorial optimization problems in the NP complexity class, community detection exhibits several phases. Typically, illuminating orders are revealed by choosing parameters that lead to extremal information theory correlations .

Keywords

Image Segmentation Community Detection Normalize Mutual Information Community Detection Algorithm Binary Metallic Glass 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

We have benefited from interactions with numerous colleagues. In particular, we would like to thank S. Achilefu, S. Bloch, R. Darst, S. Fortunato, V. Gudkov, K.F. Kelton, T. Lookman, M.E.J. Newman, S. Nussinov, D.R. Reichman, and P. Sarder for numerous discussions and collaboration on some of the problems reviewed in this work and their outgrowths. We are further grateful to support by the NSF under Grants No. DMR-1106293 and DMR-1411229. ZN is indebted to the hospitality and support of the Feinberg foundation for visiting faculty program at the Weizmann Institute.

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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Washington University in St. LouisSt. LouisUSA
  2. 2.Department of Condensed Matter PhysicsWeizmann Institute of ScienceRehovotIsrael
  3. 3.Findlay UniversityFindlayUSA
  4. 4.Department of PhysicsIndian Institute of ScienceBangaloreIndia
  5. 5.North Central CollegeNapervilleUSA
  6. 6.School of Minerals, Metallurgical and Materials EngineeringIndian Institute of TechnologyBhubaneswarIndia

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