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. Author manuscript; available in PMC: 2022 Sep 7.
Published in final edited form as: Surv Geophys. 2018 Jun 1;40:589–629. doi: 10.1007/s10712-018-9478-y

Table 3. Artificial neural network regression methods applicable to spectroscopic data.

Method Description References
Artificial neural networks (ANNs) ANNs in their basic form are essentially fully connected layered structures of artificial neurons (AN). An AN is basically a pointwise nonlinear function (e.g., a sigmoid or Gaussian function) applied to the output of a linear regression. ANs with different neural layers are inter-connected with weighted links. The most common ANN structure is a feedforward ANN, where information flows in a unidirectional forward mode. From the input nodes, data pass hidden nodes (if any) towards the output nodes Haykin (1999)
Back-propagation ANN (BPANN) The basic type of neural network is multi-layer perceptron, which is feedforward back-propagation ANN. BPANN consists of 2 steps: (1) feedforward the values and (2) calculate the error and propagate it back to the earlier layers. So to be precise, forward-propagation is part of the back-propagation algorithm but comes before back-propagating. This is the most commonly used algorithm when referring to ANN. In many papers using ANN, these standard designs are not explicitly mentioned Haykin (1999)
Radial basis function ANN (RBFANN) RBFANN is a type of ANN that uses nonlinear radial basis functions (RBFs) as activation functions in the hidden layer. The output of the network is a linear combination of RBFs of the inputs and neuron parameters Broomhead and Lowe (1988)
Recurrent ANN (RANN) A RANN is a type of ANN that make use of sequential information by introducing loops in the network Hochreiter and Schmidhuber (1997)
Bayesian regularized ANN (BRANN) BRANNs are more robust than standard BPANNs and can reduce or eliminate the need for lengthy cross-validation. Bayesian regularization is a mathematical process that converts a nonlinear regression into a “well-posed” statistical problem in the manner of a ridge regression Burden and Winkler (1999)