Title
Generalizing Smoothness Constraints from Discrete Samples.
Abstract
We study how certain smoothness constraints, for example, piecewise continuity, can be generalized from a discrete set of analog-valued data, by modifying the error backpropagation, learning algorithm. Numerical simulations demonstrate that by imposing two heuristic objectives - (1) reducing the number of hidden units, and (2) minimizing the magnitudes of the weights in the network - during the learning process, one obtains a network with a response function that smoothly interpolates between the training data.
Year
DOI
Venue
1990
10.1162/neco.1990.2.2.188
Neural Computation
Field
DocType
Volume
Training set,Mathematical optimization,Heuristic,Generalization,Artificial intelligence,Generalization error,Backpropagation,Smoothness,Machine learning,Piecewise,Mathematics
Journal
2
Issue
ISSN
Citations 
2
0899-7667
17
PageRank 
References 
Authors
45.64
2
3
Name
Order
Citations
PageRank
Chuanyi Ji1812124.04
Robert R. Snapp25652.96
Demetri Psaltis3431209.24