@inproceedings{a0c4c767f631491a93efff33c23f8fdc,

title = "Proof of hidden node number and experiments on RBF network for well log data inversion",

abstract = "In the multilayer perceptron (MLP), there was a theorem about the maximum number of separable regions (M) given the number of hidden nodes (H) in the input d-dimensional space. We propose a recurrence relation to prove the theorem using the expansion of recurrence relation instead of proof by induction. We use three-layer radial basis function net (RBF) on the well log data inversion to test the number of hidden nodes determined by the theorem. The three-layer RBF has more nonlinear mapping. In the experiments, we have 31 simulated well log data. 25 well log data are used for training, and 6 are for testing. The experimental results can support the number of hidden nodes determined by the theorem.",

keywords = "Radial basis function net, multilayer perceptron, recurrence relation, well log data inversion",

author = "Kou-Yuan Huang and Shen, {Liang Chi} and You, {Jiun Der} and Weng, {Li Sheng}",

year = "2016",

month = nov,

day = "1",

doi = "10.1109/IGARSS.2016.7729721",

language = "English",

series = "International Geoscience and Remote Sensing Symposium (IGARSS)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2791--2794",

booktitle = "2016 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2016 - Proceedings",

address = "United States",

note = "null ; Conference date: 10-07-2016 Through 15-07-2016",

}