Energy minimization for classification, pattern recognition, sensor fusion, data compression, network reconstruction and signal processing
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Abstract
A data analyzer/classifier comprises using a preprocessing step, and energy minimization step, and a postprocessing step to analyze/classify data.
43 Citations
64 Claims
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1-43. -43. (canceled)
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44. A method for determining dimensionality of a network, the dimensionality corresponding to a number of degrees of freedom in the network, the method comprising the steps of:
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sampling data from one or more nodes of the network;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a stress/energy; and
processing the stress/energy to determine the dimensionality of the network. - View Dependent Claims (45, 46)
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47. A method for determining dimensionality of a network, the dimensionality corresponding to a number of degrees of freedom in the network, the method comprising the steps of:
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sampling data from one or more nodes of the network;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a rate of change of stress/energy output and processing the rate of change of stress/energy output to determine the dimensionality of the network. - View Dependent Claims (48, 49)
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50. A method for determining dimensionality of a network, the dimensionality corresponding to a number of degrees of freedom in the network, the method comprising the steps of:
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sampling data from one or more nodes of the network;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a common space output; and
processing the common space output to determine the dimensionality of the network. - View Dependent Claims (51, 52)
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53. A method for reconstructing a network, the method comprising the steps of:
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sampling data from one or more nodes of the network;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a source space output;
from the source space output, determining the dimensionality of the network;
using free nodes to recreate and reconstruct individual nodes through the use of matrices containing missing values; and
establishing node connectivity through the use of lowest-energy connections constrained by dimensionality. - View Dependent Claims (54, 55)
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56. A method for determining dimensionality of a dynamical system from partial data, the dimensionality corresponding to a number of degrees of freedom in the dynamical system, the method comprising the steps of:
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sampling data from the dynamical system;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a stress/energy;
processing the stress/energy to determine dimensionality of the dynamical system. - View Dependent Claims (57, 58)
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59. A method for determining dimensionality of a dynamical system from partial data, the dimensionality corresponding to a number of degrees of freedom in the dynamical system, the method comprising the steps of:
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sampling data from the dynamical system;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce rate of change of stress/energy output;
processing the rate of change of stress/energy output to determine dimensionality of the dynamical system.
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62. A method for determining dimensionality of a dynamical system from partial data, the dimensionality corresponding to a number of degrees of freedom in the dynamical system, the method comprising the steps of:
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sampling data from the dynamical system;
mapping the data into one or more matrices;
applying individual differences multidimensional scaling to the one or more matrices to produce a common space output;
processing the common space output to determine dimensionality of the dynamical system. - View Dependent Claims (63, 64)
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Specification