We say that a linear subspace A of C0(X) is strongly separating if given any pair of distinct points $x_{1},x_{2}$ of the locally compact space X, then there exists f ...

The likelihood ratio test (LRT) for hypotheses concerning unions of linear subspaces is derived for the normal theory linear model. A more powerful test, an intersection-union test, is proposed for ...

Sampling from generative models has become a crucial tool for applications like data synthesis and augmentation. Diffusion, Flow Matching and Continuous Normalizing Flows have shown effectiveness ...

Abstract: This paper studies the performance associated with the classification of linear subspaces corrupted by noise with a mismatched classifier. In particular, we consider a problem where the ...

This tutorial provides examples of various linear and non-linear time series analyses for exploring the time-evolving nature of human behaviour in social and behavioural research. The goal of this ...