@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},
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 }
}
::