The convex variable step-size (CVSS) algorithm

This letter introduces the convex variable step-size (CVSS) algorithm. The convexity of the resulting cost function is guaranteed. Simulations presented show that with the proposed algorithm, we obtain similar results, as with the VSS algorithm in initial convergence, while there are potential performance gains when abrupt changes occur.

UN 2006 Climate Change Conference: a confidence building step?

An analysis of the UN 2006 COP.

The exponentiated convex variable step-size (ECVSS) algorithm

For some time there is a large interest in variable step-size methods for adaptive filtering. Recently, a few stochastic gradient algorithms have been proposed, which are based on cost functions that have exponential dependence on the chosen error. However, we have experienced that the cost function based on exponential of the squared error does not always satisfactorily converge. In this paper we modify this cost function in order to improve the convergence of exponentiated cost function and the novel ECVSS (exponentiated convex variable step-size) stochastic gradient algorithm is obtained. The proposed technique has attractive properties in both stationary and abrupt-change situations. (C) 2010 Elsevier B.V. All rights reserved.

Taking the Next Step? Achieving another Bill of Rights

The aim of this article is to explore the recent Bill of Rights debate in the UK. This is deliberately located in the UK’s complex ‘national question’ because of the obsessive focus on achieving a proper grounding for human rights. A new form of national human rights protectionism appears to be emerging and merits careful consideration. The article suggests that it is better to acknowledge and accept the existence of a plurality of nationalisms in the UK in these discussions and understand how an essentially ‘British nationalist’ discourse sounds and works in that overall context. The concern is that the Bill of Rights debate is becoming an inadequate surrogate for the more challenging constitutional conversations that are required, and human rights discourse thus invested with expectations of national renewal that it can never meet and does not have the internal resources to resolve. If the process does go forward it may be better to prepare the ground for a deeper and wider constitutional dialogue across these islands than stumble clumsily and divisively into this territory simply via ‘another’ UK Bill of Rights.

A one pot three-step process for the synthesis of an array of arylated benzimidazoribosyl nucleosides

A three-step one pot reaction/purification protocol was developed to facilitate rapid access to benzimidazole-based nucleosides, for which benzoylated benzimidazoribosyl nucleosides incorporating boronic esters were key reaction intermediates.