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Latent variable regression and applications to planetary seismic instrumentation

Alexander Edward Stott, William Pike, Danilo Mandic, Engineering And Physical Sciences Research Council
The concept is first applied to combat the problem of ill-posed regression through the promising method of partial least squares (PLS).  ...  The standard PLS algorithm is further generalised for complex-, quaternion- and tensor-valued data.  ...  Mandic, "A Class of Multidimensional NIPALS Algorithms for Quaternion and Tensor Partial Least Squares Regression", Signal Processing , 160, 2019. 2. Alexander E.  ... 
doi:10.25560/79746 fatcat:vhz66sbgy5h6fazki2smo7qjre

Statistical signal processing of nonstationary tensor-valued data

Bruno Scalzo Dees, Danilo Mandic, Engineering And Physical Sciences Research Council
By introducing a model for the joint distribution of multiple random tensors, it is also possible to treat random tensor regression analyses and subspace methods within a unified separability framework  ...  Both matrices and vectors are lower-order tensors, and this gives us a unique opportunity to consider some matrix signal processing models under the more powerful framework of multilinear tensor algebra  ...  "A class of multidimensional NIPALS algorithms for quaternion and tensor PLS-regression", Signal Processing, vol. 160, pp. 316-327, 2019.  ... 
doi:10.25560/81087 fatcat:yswajb44jrh6fpgi4y4wt3hrcm