Entropy field decomposition for analysis in a dynamic system
AssigneeThe Regents of the University of California
InventorsLawrence R. Frank, Vitaly L. Galinsky
Life of this patent
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Abstract
Analysis of complex spatio-temporal data within a dynamic system that includes spatial positions and fields, at least a portion of which are interacting, includes determining values of mean field at every spatial position, determining spatio-temporal eigenmodes in spatial-frequency space assuming interacting fields, and determining spatial and temporal interactions between the eigenmodes. The resulting display indicates space/time localization patterns that are indicative of connectivity within the dynamic system.
Claims20
A method for determining connectivity within a dynamic system represented by complex spatio-temporal data, the method comprising:
- receiving in a computer processor signal data associated with the dynamic system, wherein the signal data comprises temporal variations in a plurality of voxels;
- and
- causing the computer processor to perform the steps of:
- generating a coupling matrix by ranking optimal paths between voxels according to path entropy;
- determining entropy spectrum pathway (ESP) eigenvalues and eigenvectors for the coupling matrix;
- constructing an information Hamiltonian using the ESP eigenvalues and eigenvectors, wherein the information Hamiltonian includes a diagonal matrix of ESP eigenvalues and interaction terms constructed with the ESP eigenvalues and eigenvectors;
- estimating mode amplitudes corresponding to spatially and temporally interacting modes of the information Hamiltonian;
- and
- generating an output comprising a display of the mode amplitudes, wherein the mode amplitudes correspond to space/time localization patterns indicative of connectivity within the dynamic system.
A system for determining connectivity within a dynamic system represented by complex spatio-temporal data, the system comprising:
- one or more computer processors configured to receive signal data associated with the dynamic system, the signal data comprising temporal variations in a plurality of voxels, and execute operations on the signal data comprising:
- generating a coupling matrix by ranking optimal paths between voxels according to path entropy;
- determining entropy spectrum pathway (ESP) eigenvalues and eigenvectors for the coupling matrix;
- constructing an information Hamiltonian using the ESP eigenvalues and eigenvectors, wherein the information Hamiltonian includes a diagonal matrix of ESP eigenvalues and interaction terms constructed with the ESP eigenvalues and eigenvectors;
- estimating mode amplitudes corresponding to spatially and temporally interacting modes of the information Hamiltonian;
- and
- generating an output comprising a display of the mode amplitudes, wherein the mode amplitudes correspond to space/time localization patterns indicative of connectivity within the dynamic system.
Dependencies are inferred from the claim text.