5 citations · 7 across the 4 of their papers we have counts for
4 papers
Explicit Formulae to Interchangeably use Hyperplanes and Hyperballs using Inversive Geometry
Erik Thordsen, Erich Schubert
Many algorithms require discriminative boundaries, such as separating hyperplanes or hyperballs, or are specifically designed to work on spherical data. By applying inversive geome…
On Projections to Linear Subspaces
Erik Thordsen, Erich Schubert
The merit of projecting data onto linear subspaces is well known from, e.g., dimension reduction. One key aspect of subspace projections, the maximum preservation of variance (prin…
MESS: Manifold Embedding Motivated Super Sampling
Erik Thordsen, Erich Schubert
Many approaches in the field of machine learning and data analysis rely on the assumption that the observed data lies on lower-dimensional manifolds. This assumption has been verif…
ABID: Angle Based Intrinsic Dimensionality
Erik Thordsen, Erich Schubert
The intrinsic dimensionality refers to the ``true'' dimensionality of the data, as opposed to the dimensionality of the data representation. For example, when attributes are highly…