Model selection approaches for non-linear system identification: a review

The identification of non-linear systems using only observed finite datasets has become a mature research area over the last two decades. A class of linear-in-the-parameter models with universal approximation capabilities have been intensively studied and widely used due to the availability of many linear-learning algorithms and their inherent convergence conditions. This article presents a systematic overview of basic research on model selection approaches for linear-in-the-parameter models. One of the fundamental problems in non-linear system identification is to find the minimal model with the best model generalisation performance from observational data only. The important concepts in achieving good model generalisation used in various non-linear system-identification algorithms are first reviewed, including Bayesian parameter regularisation and models selective criteria based on the cross validation and experimental design. A significant advance in machine learning has been the development of the support vector machine as a means for identifying kernel models based on the structural risk minimisation principle. The developments on the convex optimisation-based model construction algorithms including the support vector regression algorithms are outlined. Input selection algorithms and on-line system identification algorithms are also included in this review. Finally, some industrial applications of non-linear models are discussed.

Preaching to Princes: John Burgess and George Hakewill in the Royal Pulpit

This article examines a previously unnoticed link between the Puritan John Burgess and the Calvinist conformist George Hakewill. In 1604 Burgess preached a court sermon so outspoken and critical of James I’s religious policy that he was imprisoned. Nearly twenty years later, however, Hakewill chose to incorporate extended passages from Burgess’s sermon into the series of sermons, King David’s vow (1621), preached to Prince Charles’s household. This article considers why Burgess’s sermon became so resonant for Hakewill in the early 1620s and also demonstrates how Hakewill deliberately sought to moderate Burgess’s strident polemic. In so doing the article provides important new evidence for the politically attuned sermon culture at Prince Charles’s court in the early 1620s and also suggests how, as the parameters for clerical conformity shifted in the latter years of James’s reign, Calvinist conformists found a new appeal in the works of moderate Puritans. I

The Uncertainty of Experience: On George Brecht's Event Scores

George Brecht, an artist best known for his associations with Fluxus, is considered to have made significant contributions to emerging traditions of conceptual art and experimental music in the early 1960s. His Event scores, brief verbal scores that comprised lists of terms or open-ended instructions, provided a signature model for indeterminate composition and were ‘used extensively by virtually every Fluxus artist’. This article revisits Brecht’s early writings and research to argue that, while Event scores were adopted within Fluxus performance, they were intended as much more than performance devices. Specifically, Brecht conceived of his works as ‘structures of experience’ that, by revealing the underlying connections between chanced forms, could enable a kind of enlightenment rooted within an experience of a ‘unified reality’.