Method for constructing covariance matrices from data features
First Claim
1. A computer implemented method for constructing descriptors for a set of data samples, comprising a computer for performing steps of the method, comprising the steps of:
- selecting multiple subsets of samples from a set of data samples;
extracting a d-dimensional feature vector for each sample in each subset of samples, in which the feature vector includes indices to the corresponding sample and properties of the sample;
combining the feature vectors of each subset of samples into a d×
d dimensional covariance matrix, the covariance matrix being a descriptor of the corresponding subset of samples; and
determining a distance score between a pair of covariance matrices to measure a similarity of the corresponding subsets of samples;
defining a covariance distance metric;
determining pair-wise distance scores between pairs of the covariance matrices;
constructing a d×
d dimensional auto-distance matrix from the pair-wise distance scores; and
assigning the auto-distance matrix as the descriptor of the set of data samples.
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Abstract
A method constructs descriptors for a set of data samples and determines a distance score between pairs of subsets selected from the set of data samples. A d-dimensional feature vector is extracted for each sample in each subset of samples. The feature vector includes indices to the corresponding sample and properties of the sample. The feature vectors of each subset of samples are combined into a d×d dimensional covariance matrix. The covariance matrix is a descriptor of the corresponding subset of samples. Then, a distance score is determined between the two subsets of samples using the descriptors to measure a similarity between the descriptors.
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Citations
30 Claims
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1. A computer implemented method for constructing descriptors for a set of data samples, comprising a computer for performing steps of the method, comprising the steps of:
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selecting multiple subsets of samples from a set of data samples; extracting a d-dimensional feature vector for each sample in each subset of samples, in which the feature vector includes indices to the corresponding sample and properties of the sample; combining the feature vectors of each subset of samples into a d×
d dimensional covariance matrix, the covariance matrix being a descriptor of the corresponding subset of samples; anddetermining a distance score between a pair of covariance matrices to measure a similarity of the corresponding subsets of samples; defining a covariance distance metric; determining pair-wise distance scores between pairs of the covariance matrices; constructing a d×
d dimensional auto-distance matrix from the pair-wise distance scores; andassigning the auto-distance matrix as the descriptor of the set of data samples. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30)
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Specification