TY - GEN
T1 - The alpha-procedure
T2 - 36th Annual Conference of the German Classification Society on Data Analysis, Machine Learning and Knowledge Discovery, GfKl 2012
AU - Lange, Tatjana
AU - Mozharovskyi, Pavlo
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2014.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - A procedure, called α-procedure, for the efficient automatic classification of multivariate data is described. It is based on a geometric representation of two learning classes in a proper multi-dimensional rectifying feature space and the stepwise construction of a separating hyperplane in that space. The dimension of the space, i.e. the number of features that is necessary for a successful classification, is determined step by step using two-dimensional repères (linear subspaces). In each step a repère and a feature are constructed in a way that they yield maximum discriminating power. Throughout the procedure the invariant, which is the object’s affiliation with a class, is preserved.
AB - A procedure, called α-procedure, for the efficient automatic classification of multivariate data is described. It is based on a geometric representation of two learning classes in a proper multi-dimensional rectifying feature space and the stepwise construction of a separating hyperplane in that space. The dimension of the space, i.e. the number of features that is necessary for a successful classification, is determined step by step using two-dimensional repères (linear subspaces). In each step a repère and a feature are constructed in a way that they yield maximum discriminating power. Throughout the procedure the invariant, which is the object’s affiliation with a class, is preserved.
U2 - 10.1007/978-3-319-01595-8_9
DO - 10.1007/978-3-319-01595-8_9
M3 - Conference contribution
AN - SCOPUS:84951791042
SN - 9783319015941
T3 - Studies in Classification, Data Analysis, and Knowledge Organization
SP - 79
EP - 86
BT - Data Analysis, Machine Learning and Knowledge Discovery
A2 - Schmidt-Thieme, Lars
A2 - Janning, Ruth
A2 - Spiliopoulou, Myra
PB - Kluwer Academic Publishers
Y2 - 1 August 2012 through 3 August 2012
ER -