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Iterative sparse interpolation in reproducing kernel Hilbert spaces [PDF]

open access: yes, 2001
The problem of interpolating data in reproducing kernel Hilbert spaces is well known to be ill-conditioned. In the presence of noise, regularisation can be applied to find a good solution. In the noise-free case, regularisation has the effect of over-smoothing the function and few data points are interpolated.
Dodd, T.J., Harrison, R.F.
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