English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we will outline a novel data-driven method for estimatingfunctions in a multivariate nonparametric regression model based on an adaptiveknot selection for B-splines. The underlying idea of our approach for selectingknots is to apply the generalized lasso, since the knots of the B-spline basiscan be seen as changes in the derivatives of the function to be estimated. Thismethod was then extended to functions depending on several variables byprocessing each dimension independently, thus reducing the problem to aunivariate setting. The regularization parameters were chosen by means of acriterion based on EBIC. The nonparametric estimator was obtained using amultivariate B-spline regression with the corresponding selected knots. Ourprocedure was validated through numerical experiments by varying the number ofobservations and the level of noise to investigate its robustness. Theinfluence of observation sampling was also assessed and our method was appliedto a chemical system commonly used in geoscience. For each different frameworkconsidered in this paper, our approach performed better than state-of-the-artmethods. Our completely data-driven method is implemented in the glober Rpackage which is available on the Comprehensive R Archive Network (CRAN).

A novel approach for estimating functions in the multivariate setting  based on an adaptive knot selection for B-splines with an application to a  chemical system used in geoscience