Extending the work of [7] on groups definable in compact complex manifolds and of [1] on strongly minimal groups definable in nonstandard compact complex manifolds, we classify al...
Most manifold learning methods consider only one similarity matrix to induce a low-dimensional manifold embedded in data space. In practice, however, we often use multiple sensors...
In recent years manifold methods have attracted a considerable amount of attention in machine learning. However most algorithms in that class may be termed āmanifold-motivatedā...
We start with a locally deļ¬ned principal curve deļ¬nition for a given probability density function (pdf) and deļ¬ne a pairwise manifold score based on local derivatives of the...
A good distance metric is crucial for many data mining tasks. To learn a metric in the unsupervised setting, most metric learning algorithms project observed data to a lowdimensio...