Energy minimization for classification, pattern recognition, sensor fusion, data compression, network reconstruction and signal processing
First Claim
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1. 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:
- using a computer system, sampling data from one or more nodes of the network;
using the computer system, mapping the data into one or more matrices;
using the computer system, applying individual differences multidimensional scaling to the one or more matrices to produce a stress/energy; and
using the computer system, processing the stress/energy to determine the dimensionality of the network.
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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.
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Citations
12 Claims
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1. 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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using a computer system, sampling data from one or more nodes of the network; using the computer system, mapping the data into one or more matrices; using the computer system, applying individual differences multidimensional scaling to the one or more matrices to produce a stress/energy; and using the computer system, processing the stress/energy to determine the dimensionality of the network. - View Dependent Claims (2, 3)
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4. 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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using a computer system, sampling data from one or more nodes of the network; using the computer system, mapping the data into one or more matrices; using the computer system, applying individual differences multidimensional scaling to the one or more matrices to produce a rate of change of stress/energy output and using the computer system, processing the rate of change of stress/energy output to determine the dimensionality of the network. - View Dependent Claims (5, 6)
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7. 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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using a computer system, sampling data from the dynamical system; using the computer system, mapping the data into one or more matrices; using the computer system, applying individual differences multidimensional scaling to the one or more matrices to produce a stress/energy; using the computer system, processing the stress/energy to determine dimensionality of the dynamical system. - View Dependent Claims (8, 9)
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10. 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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using a computer system, sampling data from the dynamical system; using the computer system, mapping the data into one or more matrices; using the computer system, applying individual differences multidimensional scaling to the one or more matrices to produce rate of change of stress/energy output; using the computer system, processing the rate of change of stress/energy output to determine dimensionality of the dynamical system. - View Dependent Claims (11, 12)
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Specification