Title
Learning with preknowledge: Clustering with point and graph matching distance measures
Abstract
Prior knowledge constraints are imposed upon a learning problem in the form of distance measures. Prototypical 2D point sets and graphs are learned by clustering with point-matching and graph-matching distance measures. The point-matching distance measure is approximately invariant under affine transformations---translation, rotation, scale, and shear---and permutations. It operates between noisy images with missing and spurious points. The graph-matching distance measure operates on weighted graphs and is invariant under permutations. Learning is formulated as an optimization problem. Large objectives so formulated (∼ million variables) are efficiently minimized using a combination of optimization techniques---softassign, algebraic transformations, clocked objectives, and deterministic annealing.
Year
DOI
Venue
1994
10.1162/neco.1996.8.4.787
Neural Computation
Keywords
DocType
Volume
optimization technique,algebraic transformation,graph-matching distance measure,clocked objective,optimization problem,large objective,deterministic annealing,affine transformation,distance measure,point-matching distance measure,graph matching
Conference
8
Issue
ISSN
Citations 
4
0899-7667
43
PageRank 
References 
Authors
4.59
18
3
Name
Order
Citations
PageRank
Steven Gold186483.13
A Rangarajan23698367.52
Eric Mjolsness31058140.00