Vanck, ThomasThomasVanckGarcke, JochenJochenGarcke2022-03-122022-03-122013https://publica.fraunhofer.de/handle/publica/383672The concept of covariate shift in supervised data analysis describes a difference between the training and test distribution while the conditional distribution remains the same. To improve the prediction performance one can address such a change by using individual weights for each training datapoint, which emphasizes the training points close to the test data set so that these get a higher significance. We propose a new method for calculating such weights by minimizing a Fourier series approximation of distance measures, in particular we consider the total variation distance, the Euclidean distance and Kullback-Leibler divergence. To be able to use the Fourier approach for higher dimensional data, we employ the so-called hyperbolic cross approximation. Results show that the new approach can compete with the latest methods and that on real life data an improved performance can be obtained.en003005006518Using Hyperbolic Cross Approximation to measure and compensate Covariate Shiftconference paper