73 citations · 145 across the 5 of their papers we have counts for
5 papers
Regression on a Graph
Arne Kovac, Andrew D. A. C. Smith
The `Signal plus Noise' model for nonparametric regression can be extended to the case of observations taken at the vertices of a graph. This model includes many familiar regressio…
Quantifying the cost of simultaneous non-parametric approximation of several samples
A. Kovac, P. L. Davies
We consider the standard non-parametric regression model with Gaussian errors but where the data consist of different samples. The question to be answered is whether the samples ca…
Extensions of smoothing via taut strings
Lutz Duembgen, Arne Kovac
Suppose that we observe independent random pairs , , >..., . Our goal is to estimate regression functions such as the conditional mean or --quan…
Nonparametric Regression, Confidence Regions and Regularization
P. L. Davies, A. Kovac, M. Meise
In this paper we offer a unified approach to the problem of nonparametric regression on the unit interval. It is based on a universal, honest and non-asymptotic confidence region w…
Densities, spectral densities and modality
P. Laurie Davies, Arne Kovac
This paper considers the problem of specifying a simple approximating density function for a given data set (x_1,...,x_n). Simplicity is measured by the number of modes but several…