Bayesian inference for complex regression models using mixtures. The project will use mixtures to flexibly model complex regression functions and will develop Bayesian methods for carrying out statistical inference on these models. The models will deal with both Gaussian and non-Gaussian data. Multiple explanatory variables are dealt with by mixing simple additives to produce flexible high dimensional function estimates. Variable selection and model averaging will be used to identify important v ....Bayesian inference for complex regression models using mixtures. The project will use mixtures to flexibly model complex regression functions and will develop Bayesian methods for carrying out statistical inference on these models. The models will deal with both Gaussian and non-Gaussian data. Multiple explanatory variables are dealt with by mixing simple additives to produce flexible high dimensional function estimates. Variable selection and model averaging will be used to identify important variables and thus make the estimation more efficient. The methods will be extended to multivariate responses where account will taken be taken of the structure of the dependence between responses.Read moreRead less
Advanced Signal Processing for Radiation Spectroscopy. Southern Innovation develops and markets world-leading pulse processing technologies for the rapid, accurate detection and measurement of radiation. The underlying real-time signal processing challenge relates to isolating often overlapping pulses, determining when each pulse arrived and the energy of each pulse. Recent advances in the computational power of digital signal processing boards makes it timely to develop innovative pulse process ....Advanced Signal Processing for Radiation Spectroscopy. Southern Innovation develops and markets world-leading pulse processing technologies for the rapid, accurate detection and measurement of radiation. The underlying real-time signal processing challenge relates to isolating often overlapping pulses, determining when each pulse arrived and the energy of each pulse. Recent advances in the computational power of digital signal processing boards makes it timely to develop innovative pulse processing algorithms based on optimal filtering of stochastic processes. It is expected that these algorithms will have widespread impact, both commercially for minerals exploration, materials analysis, medical imaging and security screening, and scientifically for improving the performance of synchrotrons and other equipment.Read moreRead less
Fundamental Studies in System Identification. To operate a dynamic system such as a chemical process plant or an economy one needs two things; the equations describing the system; a way of regulating the system to provide desired outcomes. System identification provides the first; control engineering design provides the second. This proposal addresses three important problems in system identification and control. Firstly since the equations can never be known precisely we aim to determine what i ....Fundamental Studies in System Identification. To operate a dynamic system such as a chemical process plant or an economy one needs two things; the equations describing the system; a way of regulating the system to provide desired outcomes. System identification provides the first; control engineering design provides the second. This proposal addresses three important problems in system identification and control. Firstly since the equations can never be known precisely we aim to determine what is the best one can do? Secondly to provide then tight error bounds for the control design;
thirdly to develop new methods for some hitherto unresolved problems in system identification.Read moreRead less