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Tensor analysis methods for activity characterization in spatiotemporal data
Author(s) -
Michael Joseph Haass,
Mark Van Benthem,
Edward M Ochoa
Publication year - 2014
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/1200656
Subject(s) - matrix decomposition , computer science , tensor (intrinsic definition) , decomposition , matrix (chemical analysis) , factorization , computation , characterization (materials science) , basis (linear algebra) , theoretical computer science , tensor algebra , algorithm , data mining , artificial intelligence , algebra over a field , mathematics , pure mathematics , ecology , current algebra , eigenvalues and eigenvectors , physics , materials science , geometry , quantum mechanics , jordan algebra , composite material , biology , nanotechnology
Tensor (multiway array) factorization and decomposition offers unique advantages for activity characterization in spatio-temporal datasets because these methods are compatible with sparse matrices and maintain multiway structure that is otherwise lost in collapsing for regular matrix factorization. This report describes our research as part of the PANTHER LDRD Grand Challenge to develop a foundational basis of mathematical techniques and visualizations that enable unsophisticated users (e.g. users who are not steeped in the mathematical details of matrix algebra and mulitway computations) to discover hidden patterns in large spatiotemporal data sets.

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