Signal and System Approximation from General Measurements

In this paper we analyze the behavior of system approximation processes for stable linear time-invariant (LTI) systems and signals in the Paley-Wiener space PW_\pi^1. We consider approximation processes, where the input signal is not directly used to generate the system output, but instead a sequence of numbers is used that is generated from the input signal by measurement functionals. We consider classical sampling which corresponds to a pointwise evaluation of the signal, as well as several more general measurement functionals. We show that a stable system approximation is not possible for pointwise sampling, because there exist signals and systems such that the approximation process diverges. This remains true even with oversampling. However, if more general measurement functionals are considered, a stable approximation is possible if oversampling is used. Further, we show that without oversampling we have divergence for a large class of practically relevant measurement procedures.Comment: This paper will be published as part of the book "New Perspectives on Approximation and Sampling Theory - Festschrift in honor of Paul Butzer's 85th birthday" in the Applied and Numerical Harmonic Analysis Series, Birkhauser (Springer-Verlag). Parts of this work have been presented at the IEEE International Conference on Acoustics, Speech, and Signal Processing 2014 (ICASSP 2014

HRI Malta 2017—Cutting Edge Research in Homeopathy: HRI's Third International Research Conference in Malta

The third international conference on “Cutting Edge Research in Homeopathy” organised by the Homeopathy Research Institute (HRI) was held on the inspiring and historic island of Malta from 9th to 11th of June, 2017. One hundred and two abstracts underwent peer review by the HRI Scientific Advisory Committee and external experts to produce the programme of 36 oral presentations and 37 posters, presented by researchers from 19 countries. The 2.5-day programme covered a diverse range of topics, including quantitative and qualitative clinical research, basic research, veterinary research, and provings. These intensive plenary and parallel sessions were interspersed with multiple opportunities for delegates to discuss and exchange ideas, in particular through interactive panel discussions and a pre-conference workshop. The continuing commitment of the homeopathy research community to generate high-quality studies in this rapidly evolving field was clear. In this conference report, we present highlights from this memorable event

Architectures by Design: The Iterative Development of an Integrated Intelligent Agent

Abstract In this paper we demonstrate how a design-based methodology can be used to iteratively produce designs for an information-processing architecture that integrates various intelligent capabilities. This methodology allows us to explain system performance in terms of changes to an existing architecture design, with the explanations being supported by performance data from an implementation of the design. We present an instance of this design methodology applied to the development of an architecture that integrates anytime deliberative capabilities with reactive behaviours and goal management. Iterations of the design are implemented and evaluated in the computer game Unreal Tournament.