Title
Ordinal regression neural networks based on concentric hyperspheres
Abstract
Threshold models are one of the most common approaches for ordinal regression, based on projecting patterns to the real line and dividing this real line in consecutive intervals, one interval for each class. However, finding such one-dimensional projection can be too harsh an imposition for some datasets. This paper proposes a multidimensional latent space representation with the purpose of relaxing this projection, where the different classes are arranged based on concentric hyperspheres, each class containing the previous classes in the ordinal scale. The proposal is implemented through a neural network model, each dimension being a linear combination of a common set of basis functions. The model is compared to a nominal neural network, a neural network based on the proportional odds model and to other state-of-the-art ordinal regression methods for a total of 12 datasets. The proposed latent space shows an improvement on the two performance metrics considered, and the model based on the three-dimensional latent space obtains competitive performance when compared to the other methods.
Year
DOI
Venue
2014
10.1016/j.neunet.2014.07.001
Neural Networks
Keywords
Field
DocType
ordinal regression,neural networks,latent variable
Linear combination,Ordinal Scale,Pattern recognition,Real line,Ordinal data,Latent variable,Ordinal regression,Artificial intelligence,Artificial neural network,Ordinal optimization,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
59
1
0893-6080
Citations 
PageRank 
References 
6
0.53
30
Authors
3
Name
Order
Citations
PageRank
Pedro Antonio Gutiérrez143347.30
Tino P.21606155.22
César Hervás-Martínez379678.92