Energy minimization for data merging and fusion
First Claim
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1. A data fusion method comprising the steps of:
- (a) receiving data; and
(b) applying energy minimization to simultaneously produce a plurality of fusion vectors.
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Abstract
A data merging/fusion comprises using a preprocessing step, an energy minimization step, and a postprocessing step to merge or fuse data. In a particular embodiment, ordinal data are processed by mapping the ordinal data to a lower triangular matrix of ordinal data, processing the matrix using non-metric individual differences multidimensional scaling and subsequently processing the result.
34 Citations
48 Claims
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1. A data fusion method comprising the steps of:
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(a) receiving data; and
(b) applying energy minimization to simultaneously produce a plurality of fusion vectors. - View Dependent Claims (2, 3, 4, 5, 7, 8, 9)
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6. A data fusion method comprising the steps of:
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(a) receiving data and transposing the received data to produce data structures;
(b) applying energy minimization to the data structures to simultaneously produce a plurality of merged values;
(c) constructing a matrix from the merged values to define a proximity weight matrix; and
(d) applying individual differences multidimensional scaling to data structures derived from the received data and the proximity weight matrix to simultaneously produce a plurality of fusion vectors.
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10. A data fusion method comprising the steps of:
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(a) receiving ordinal measurement level data;
(b) creating hollow symmetric matrices using the ordinal measurement level data;
(c) applying meaningful energy minimization to the matrices; and
(e) simultaneously producing a plurality of fusion vectors in response to the meaningful energy minimization. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17, 18)
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19. A data fusion process for data, the process comprising:
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using individual differences multidimensional scaling with two or more input hollow symmetric matrices into which the data for fusion has been entered to produce at least a source space output; and
using the source space output to interpret the fused data.
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20. A data fusion process comprising:
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forming input hollow symmetric matrices with ordinal measurement level data;
applying a meaningful energy minimization process with the input hollow symmetric matrices to simultaneously produce at least a plurality of fusion vectors; and
interpreting the plurality of fusion vectors as indicative of data fusion. - View Dependent Claims (21, 22, 23, 24, 25, 26, 27)
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28. Computer executable software program code stored on a computer readable medium, the code for data fusion of input data, the code comprising:
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first code that receives data and forms one or more data structures using the received data;
second code that applies an energy minimization process to the one or more data structures and simultaneously produces a plurality of fusion vectors; and
third code that uses the fusion vectors to provide user output information.
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29. A method for data fusion, the method comprising the steps of:
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receiving two or more sets of ordinal measurement level data, the ordinal measurement level data including ranking values for a predetermined characteristic among a plurality of input domains;
mapping the ordinal measurement level data into non-redundant lower triangles of two or more hollow symmetric matrices. processing the hollow symmetric matrices using a meaningful energy minimization process to produce output data; and
processing the output data to provide fused data.
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30. A method for data fusion comprising the steps of:
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receiving two or more sets of ordinal measurement level data Sk, the ordinal measurement level data including ranking values for a predetermined characteristic among a plurality of input domains;
mapping the ordinal measurement level data into non-redundant lower triangles Tk of two or more hollow symmetric matrices;
processing the matrices Tk using a meaningful energy minimization process to produce output data, including processing the two or more sets of ordinal data Sk in the matrices Tk as relationally linked deformable configurations to find a configuration corresponding to minimum energy, and producing the output data associated with the configuration corresponding to minimum energy; and
processing the output data to provide fused data.
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31. A data fusion process comprising:
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receiving ordinal measurement level data;
transposing the received ordinal measurement level data;
writing the transposed ordinal measurement level data to two or more hollow symmetric matrices;
using energy minimization and the hollow symmetric matrices to produce a source space output;
using the source space output to produce a proximity weight matrix;
writing the received ordinal measurement level into two or more hollow symmetric matrices;
using meaningful energy minimization and the proximity weight matrix and the hollow symmetric matrices to produce a source space output; and
interpreting the source space output as an indicator of data fusion or merging.
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32. A method for data merging, the method comprising the steps of:
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receiving two or more sets of data;
mapping the received data into two or more hollow symmetric matrices;
processing the resulting hollow symmetric matrices using individual differences multidimensional scaling;
producing a source space of vectors; and
interpreting the source space vectors as indicators of data merging. - View Dependent Claims (33, 34, 35, 36, 37, 39, 40, 41)
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38. A method for data merging, the method comprising the steps of:
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receiving two of more sets of ordinal measurement level data;
mapping the ordinal measurement level data into two or more hollow symmetric matrices;
processing the resulting hollow symmetric matrices using non-metric individual differences multidimensional scaling;
producing a source space of vectors; and
interpreting the source space vectors as indicators of data merging. - View Dependent Claims (42, 43, 44, 45)
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46. A data fusion process for data, the process comprising:
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using non-metric individual differences multidimensional scaling with two one or more input hollow symmetric matrices into which the data for fusion has been entered to produce at least a source space output; and
using the source space output to interpret the fused data. - View Dependent Claims (47, 48)
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Specification