]> BibSonomy publications for /bibtex/29b9a2eae063f9ce20f09246484d8db9d/tmalsburg http://www.bibsonomy.org/burst/bibtex/29b9a2eae063f9ce20f09246484d8db9d/tmalsburg BibSonomy BuRST Feed for /bibtex/29b9a2eae063f9ce20f09246484d8db9d/tmalsburg 2008-10-12T00:36:58+02:00 A unifying measure for neighbourhood preservation in topographic mappings http://www.bibsonomy.org/bibtex/29b9a2eae063f9ce20f09246484d8db9d/tmalsburg tmalsburg 2008-05-12T14:04:26+02:00 dimensionalityreduction mapformation selforganization
PDF A unifying measure for neighbourhood preservation in topographic mappings
G.J. Goodhill and S. Finch and T.J. Sejnowski Proc. 2nd Joint Symp. on Neural Computation 191--202 (1995)
to dimensionalityreduction mapformation selforganization on 2008-05-12 14:04:26 ]]> Proc. 2nd Joint Symp. on Neural Computation191--202{A unifying measure for neighbourhood preservation in topographic mappings}1995dimensionalityreduction mapformation selforganization 2008-05-12 14:04:26.0In this paper, the abstract computational principles underlying topographic maps are discussed. We give a definition of a “perfectly neighbourhood preserving” map, which we call a topographic homeomorphism, and we prove that this has certain desirable properties. It is argued that when a topographic homeomorphism does not exist (the usual case), many equally valid choices are available for quantifying the quality of a map. We introduce a particular measure that encompasses several previous proposals, and discuss its relation to other work. This formulation of the problem sets it within the well-known class of quadratic assignment problems.