Learning Low Dimensional Manifolds
Many read-world datasets can be characterized as follows: the "extrinsic dimension" of the data is high, but the "intrinsicdimension" is low. Consider for example the data generated by a motion capture device. Such a device typically tracks a few hundred dots located on a special suit worn by the tracked person. Each time point corresponds to a vector consisting of the (x,y,z) location of each ...