Minimax-optimal semi-supervised regression on unknown manifolds

7 Nov 2016Amit MoscovichAriel JaffeBoaz Nadler

We consider semi-supervised regression when the predictor variables are drawn from an unknown manifold. A simple two step approach to this problem is to: (i) estimate the manifold geodesic distance between any pair of points using both the labeled and unlabeled instances; and (ii) apply a k nearest neighbor regressor based on these distance estimates... (read more)

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