Title
A Very Fast Learning Method for Neural Networks Based on Sensitivity Analysis
Abstract
This paper introduces a learning method for two-layer feedforward neural networks based on sensitivity analysis, which uses a linear training algorithm for each of the two layers. First, random values are assigned to the outputs of the first layer; later, these initial values are updated based on sensitivity formulas, which use the weights in each of the layers; the process is repeated until convergence. Since these weights are learnt solving a linear system of equations, there is an important saving in computational time. The method also gives the local sensitivities of the least square errors with respect to input and output data, with no extra computational cost, because the necessary information becomes available without extra calculations. This method, called the Sensitivity-Based Linear Learning Method, can also be used to provide an initial set of weights, which significantly improves the behavior of other learning algorithms. The theoretical basis for the method is given and its performance is illustrated by its application to several examples in which it is compared with several learning algorithms and well known data sets. The results have shown a learning speed generally faster than other existing methods. In addition, it can be used as an initialization tool for other well known methods with significant improvements.
Year
Venue
Keywords
2006
Journal of Machine Learning Research
least-squares,extra calculation,fast learning method,initialization method,computational time,extra computational cost,linear optimizatio n,learning algorithm,sensitivity analysis,neural networks,existing method,linear training algorithm,initial value,initial set,linear system,supervised learning,least square,feedforward neural network,linear system of equations,neural network
Field
DocType
Volume
Online machine learning,Mathematical optimization,Stability (learning theory),Semi-supervised learning,Active learning (machine learning),Computer science,Wake-sleep algorithm,Unsupervised learning,Artificial intelligence,Computational learning theory,Artificial neural network,Machine learning
Journal
7,
ISSN
Citations 
PageRank 
1532-4435
42
2.44
References 
Authors
24
4
Name
Order
Citations
PageRank
Enrique Castillo155559.86
Bertha Guijarro-Berdiñas229634.36
Oscar Fontenla-Romero333739.49
Amparo Alonso-Betanzos488576.98