Regularized Minimum Volume Ellipsoid Metric for Query-Based Learning

We are interested in learning an adaptive local metric on a lower dimensional manifold for query--based operations.We combine the concept underlying manifold learning algorithms and the minimum volume ellipsoid metric to find the nearest neighbouring points to a query point on the manifold on which the query point is lying. Extensive experiments on various standard benchmark data sets in the context of classification showed very promising results when compared to state of the art metric learning algorithms.