Observations Concerning Reconstructions with Local Support

Per-Erik Forssén · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 2002

This report describes how the choice of kernel affects a non-parametric density estimation. Methods for accurate localisation of peaks in the estimated densities are developed for Gaussian and cos2 kernels. The accuracy and robustness of the peak localisation methods are studied with respect to noise, number of samples, and interference between peaks. Although the peak localisation is formulated in the framework of non-parametric density estimation, the results are also applicable to associative learning with localised responses.

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