@inproceedings{jam-acu-05-aa-neural, author = {Marcela Jamett and Gonzalo Acu{\~n}a}, title = {Comparative Assessment of Interval and Affine Arithmetic in Neural Network State Prediction}, booktitle = {Advances in Neural Networks: Proc. International Symposium on Neural Networks}, pages = {448-453}, year = 2005, series = {Lecture Notes in Computer Science}, volume = {3497}, doi = {10.1007/11427445_73}, comment = {Compares IA and AA in predicting output of neural networks}, abstract = {Two set theory methods, Interval and Affine Arithmetic, are used together with feedforward neural networks (FNN) in order to study their ability to perform state prediction in non-linear systems. Some fundamental theory showing the basic interval and affine arithmetic operations necessary to forward propagate through a FNN is presented and an application to a generic biotechnological process is performed confirming that due to the way the perturbations of the input data are considered, affine FNN perform better than interval ones.} }