Polynomial Texture Mapping (PTM) uses a simple polynomial regression to interpolate, and hence relight, image sets taken from a fixed camera but with multiple, changing lights with each light illuminating the scene in turn from different directions [1]. PTM is basically an extension of the simple Lambertian model of Photometric Stereo (PST), but replacing a linear term in the lighting direction...

Point process modeling is gaining increasing attention, as point type data are emerging in a large variety of scientific applications. In this article, motivated by neuronal spike trains study, we propose novel regression model, where both the response and predictor can be high-dimensional process. We model effects through conditional intensities using set basis transferring functions convoluti...

Distributional regression is extended to Gaussian response vectors of dimension greater than two by parameterizing the covariance matrix $\Sigma$ distribution using entries its Cholesky decomposition. The more common variance-correlation parameterization limits such regressions bivariate responses -- higher dimensions require complicated constraints among correlations ensure positive definite a...