Human leg localization problems involving sonar sensing can be posed as a <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nonlinear regression problem</i> , and, nonparametric Bayesian methods, such as the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Gaussian process regression</i> (GPR) model, are potential solution candidates. In this work, to overcome the problem of irrelevant input features from the sonar range data, an advanced <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">automatic relevance determination</i> kernel structure is proposed to be used in the GPR model instead of the commonly used standard isotropic kernel. It is able to extract high-relevance input features even from partially trained data, thus offering a better generalization ability while improving the prediction rates and robustness significantly.
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