@inproceedings{GoodhillEtAl1995,
	title = {{A unifying measure for neighbourhood preservation in topographic mappings}},
	author = {G.J. Goodhill and S. Finch and T.J. Sejnowski},
	booktitle = {Proc. 2nd Joint Symp. on Neural Computation},
	pages = {191--202},
	year = {1995},
	biburl = {http://www.bibsonomy.org/bibtex/29b9a2eae063f9ce20f09246484d8db9d/tmalsburg},
	abstract = {In 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.
},
	keywords = {dimensionalityreduction mapformation selforganization }
}