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Register a new userEstimation of linear operators from scattered impulse responses
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Added by
Paul Escande
Publication date
2016
fields
Informatics Engineering
and research's language is
English
Authors
Jeremie Bigot
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We provide a new estimator of integral operators with smooth kernels, obtained from a set of scattered and noisy impulse responses. The proposed approach relies on the formalism of smoothing in reproducing kernel Hilbert spaces and on the choice of an appropriate regularization term that takes the smoothness of the operator into account. It is numerically tractable in very large dimensions. We study the estimators robustness to noise and analyze its approximation properties with respect to the size and the geometry of the dataset. In addition, we show minimax optimality of the proposed estimator.
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