LEAST SQUARE CLUSTERING AND FOLDED DIMENSION VISUALIZATION
First Claim
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1. A method comprising:
- receiving an input variable having multiple dimensions in a first coordinate system;
using an algorithm to convert the input variable from the first coordinate system to a second coordinate system; and
rendering a two-dimensional visual representation of the input variable using the second coordinate system, wherein the second coordinate system has a series of coordinate axes in a single plane each located at a corresponding predetermined angle away from each of the other coordinate axes of the second coordinate system.
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Abstract
A two dimensional rendition of a multi-dimensional data set is presented wherein the multi-dimensional data set is graphed on a coordinate system having axes that are a predetermined angle away from each other axes in the coordinate system. Each subsequent predetermined angle may be half the previous predetermined angle for the series of coordinate axes. Additionally a clustering approach is presented that clusters the solution vectors of the data thereby combining elements of regression with clustering and reducing the dimensionality of the data to be clustered while allowing the clustering to be done against a set of reference vectors or data.
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Citations
9 Claims
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1. A method comprising:
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receiving an input variable having multiple dimensions in a first coordinate system; using an algorithm to convert the input variable from the first coordinate system to a second coordinate system; and rendering a two-dimensional visual representation of the input variable using the second coordinate system, wherein the second coordinate system has a series of coordinate axes in a single plane each located at a corresponding predetermined angle away from each of the other coordinate axes of the second coordinate system. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A method for detecting variations in a spectra signal, comprising:
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using an algorithm to convert the spectra signal from the first coordinate system to a second coordinate system; rendering a two-dimensional visual representation of the spectra signal using the second coordinate system, wherein the second coordinate system has a series of coordinate axes in a single plane each located at a corresponding predetermined angle away from each of the other coordinate axes of the second coordinate system; comparing each two-dimensional visual representation for each of the corresponding spectra signal with each other; and grouping each two-dimensional visual representation for each of the corresponding spectra signal into a plurality of set of two-dimensional visual representation based on a common visual characteristics.
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Specification