Intrinsic dimensionality estimation with optimally topology preserving maps
Jörg Brüske, Gerald Sommer · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1998
A new method for analyzing the intrinsic dimensionality (ID) of low-dimensional manifolds in high-dimensional feature spaces is presented. Compared to a previous approach by Fukunaga and Olsen (1971), the method has only linear instead of cubic time complexity with respect to the dimensionality of the input space. Moreover, it is less sensitive to noise than the former approach. Experiments include ID estimation of synthetic data for comparison and illustration as well as ID estimation of an image sequence.