Methods for filtering data and filling in missing data using nonlinear inference
First Claim
1. A method for inferring/estimating missing values in a data matrix d(q, r) having a plurality of rows and columns, comprising the steps of:
- organizing said columns of said data matrix d(q, r) into affinity folders of columns with similar data profile;
organizing said rows of said data matrix d(q, r) into affinity folders of rows with similar data profile;
forming a graph Q of augmented rows and a graph R of augmented columns by similarity or correlation of common entries; and
expanding said data matrix d(q, r) in terms of an orthogonal basis of a graph Q×
R to infer/estimate said missing values in said data matrix d(q, r).
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Abstract
The present invention is directed to a method for inferring/estimating missing values in a data matrix d(q, r) having a plurality of rows and columns comprises the steps of: organizing the columns of the data matrix d(q, r) into affinity folders of columns with similar data profile, organizing the rows of the data matrix d(q, r) into affinity folders of rows with similar data profile, forming a graph Q of augmented rows and a graph R of augmented columns by similarity or correlation of common entries; and expanding the data matrix d(q, r) in terms of an orthogonal basis of a graph Q×R to infer/estimate the missing values in said data matrix d(q, r) on the diffusion geometry coordinates.
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Citations
20 Claims
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1. A method for inferring/estimating missing values in a data matrix d(q, r) having a plurality of rows and columns, comprising the steps of:
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organizing said columns of said data matrix d(q, r) into affinity folders of columns with similar data profile;
organizing said rows of said data matrix d(q, r) into affinity folders of rows with similar data profile;
forming a graph Q of augmented rows and a graph R of augmented columns by similarity or correlation of common entries; and
expanding said data matrix d(q, r) in terms of an orthogonal basis of a graph Q×
R to infer/estimate said missing values in said data matrix d(q, r). - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A computer readable medium comprising code for inferring/estimating missing values in a data matrix d(q, r) having a plurality of rows and columns, said code comprising instructions for:
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organizing said columns of said data matrix d(q, r) into affinity folders of columns with similar data profile;
organizing said rows of said data matrix d(q, r) into affinity folders of rows with similar data profile;
forming a graph Q of augmented rows and a graph R of augmented columns by similarity or correlation of common entries; and
expanding said data matrix d(q, r) in terms of an orthogonal basis of a graph Q×
R to infer/estimate said missing values in said data matrix d(q, r). - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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Specification