110 citations · 110 across the 4 of their papers we have counts for
4 papers
On relative universality, regression operator, and conditional independence
Bing Li, Ben Jones, Andreas Artemiou
The notion of relative universality with respect to a σ-field was introduced to establish the unbiasedness and Fisher consistency of an estimator in nonlinear sufficient dimension…
Structure-preserving non-linear PCA for matrices
Joni Virta, Andreas Artemiou
We propose MNPCA, a novel non-linear generalization of (2D){PCA}, a classical linear method for the simultaneous dimension reduction of both rows and columns of a set of matrix…
Poisson PCA for matrix count data
Joni Virta, Andreas Artemiou
We develop a dimension reduction framework for data consisting of matrices of counts. Our model is based on assuming the existence of a small amount of independent normal latent va…
Principal support vector machines for linear and nonlinear sufficient dimension reduction
Bing Li, Andreas Artemiou, Lexin Li
We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the respo…