Integrated structure selection and parameter optimisation for eng-genes neural models

The eng-genes concept involves the use of fundamental known system functions as activation functions in a neural model to create a 'grey-box' neural network. One of the main issues in eng-genes modelling is to produce a parsimonious model given a model construction criterion. The challenges are that (1) the eng-genes model in most cases is a heterogenous network consisting of more than one type of nonlinear basis functions, and each basis function may have different set of parameters to be optimised; (2) the number of hidden nodes has to be chosen based on a model selection criterion. This is a mixed integer hard problem and this paper investigates the use of a forward selection algorithm to optimise both the network structure and the parameters of the system-derived activation functions. Results are included from case studies performed on a simulated continuously stirred tank reactor process, and using actual data from a pH neutralisation plant. The resulting eng-genes networks demonstrate superior simulation performance and transparency over a range of network sizes when compared to conventional neural models. (c) 2007 Elsevier B.V. All rights reserved.

The Double Life of Duke of Somerset v Cookson, or a Legal Excavation of the Corbridge Lanx

Duke of Somerset v Cookson (1735) occupies an important place in English legal history as a leading authority for Chancery jurisdiction to order specific delivery of movable property where an award of damages would be inadequate. The property at issue was the Corbridge lanx, now in the British Museum, but then claimed as treasure trove by the duke of Somerset as lord of the manor of Corbridge. This paper re-examines Cookson as the first reported English decision relating to treasure trove, and uses later treasure trove claims by the duke of Somerset's successors to the manor of Corbridge, the dukes of Northumberland, to shed fresh light on the 1735 decision and on the development of treasure trove practice from the eighteenth century onwards.