Kernel methods have emerged as a powerful tool in adaptive filtering and system identification, enabling the processing and modelling of complex, nonlinear relationships in dynamic systems. By mapping ...

For a covariance or correlation matrix, the sum of its eigenvalues equals the trace of the matrix, that is, the sum of the variances of the n y variables for a covariance matrix, and n y for a ...

The Annals of Statistics, Vol. 37, No. 6B (December 2009), pp. 3960-3984 (25 pages) This paper focuses on obtaining clustering information about a distribution from its i.i.d. samples. We develop ...

PCA is an important tool for dimensionality reduction in data science and to compute grasp poses for robotic manipulation from point cloud data. PCA can also directly used within a larger machine ...