Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent exp ....Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent explosions in reactors and storage tanks. Other potential applications range from bushfires to the manufacture of exotic materials. Furthermore, the novel mathematical techniques developed in this project can be easily adapted to other types of systems such as those used in biology (eg. epidemiology and tumour growth), economics, physics etc. Read moreRead less
Global Lithospheric Architecture Mapping II. The continents have been rifted, or broken up, and collided, or re-assembled, along major zones of weakness many times throughout Earth's history. Boundaries between such continental domains focus large-scale movements of fluids that can produce giant ore deposits. This study will provide new perspectives on the localisation of world-class economic deposits, the Earth resources on which society depends. Innovations in imaging the deep Earth beneath co ....Global Lithospheric Architecture Mapping II. The continents have been rifted, or broken up, and collided, or re-assembled, along major zones of weakness many times throughout Earth's history. Boundaries between such continental domains focus large-scale movements of fluids that can produce giant ore deposits. This study will provide new perspectives on the localisation of world-class economic deposits, the Earth resources on which society depends. Innovations in imaging the deep Earth beneath continents, and in numerical modelling, will maintain our high international profile in research relevant to National Priority 1.6 (Developing Deep Earth Resources). Unique 3D geological maps of regions down to 250km will make the composition of deep Earth regions newly accessible to geoscientists and all potential endusers.Read moreRead less
Investment Approaches and Applications in Financial Markets: Evolutionary Kernel Based Subset Time-Series Using Semi-Parametric Approaches. The project will develop new investment assessments based on subset time-series modeling. Innovative evolutionary kernel smoothing algorithms using semi-parametric approaches will be introduced. The project will make three important applications of this modeling in financial markets: a) benchmarking and evaluation of inflation-indexed bonds; b) evaluation of ....Investment Approaches and Applications in Financial Markets: Evolutionary Kernel Based Subset Time-Series Using Semi-Parametric Approaches. The project will develop new investment assessments based on subset time-series modeling. Innovative evolutionary kernel smoothing algorithms using semi-parametric approaches will be introduced. The project will make three important applications of this modeling in financial markets: a) benchmarking and evaluation of inflation-indexed bonds; b) evaluation of the performance of global diversified investment funds; and c) prediction to provide early warning of the emergence of destabilising deflation or inflation. These three applications will lead to improved risk management practices and investment performance. Recursive algorithms will provide new statistical methods to study investment asset price movements and market volatility.
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Investment approaches and opportunities in renewable energy and financial resource markets, using semi-parametric approaches to evolutionary subset time-series lattice-ladder modelling. The project findings will help Australian exporters and importers understand and manage energy and resource price risks more effectively. The investment community will benefit through selecting optimal asset allocations and enhancing value to investors. It will also benefit many other agencies, particularly in th ....Investment approaches and opportunities in renewable energy and financial resource markets, using semi-parametric approaches to evolutionary subset time-series lattice-ladder modelling. The project findings will help Australian exporters and importers understand and manage energy and resource price risks more effectively. The investment community will benefit through selecting optimal asset allocations and enhancing value to investors. It will also benefit many other agencies, particularly in the service industries. It is not well recognised that in developed countries, including Australia, the financial service and related sectors account for more than 60 percent of economic activity and employment, so it is critical that more sophisticated statistical methods be established, and practical applications conducted, in order to advance the understanding of complexity management in the financial service and related sectors.Read moreRead less
Trans-dimensional and Approximate Bayesian Computation. Many applied scientists in Australia, particularly those in the biological, medical and environmental sciences are now interested in incorporating Bayesian statistical methodologies into their research.
The development of more generic and efficient Bayesian statistical methods will not only benefit applied statisticians but also the more occasional users of statistics in other disciplinary areas. The success of this project will enhance Au ....Trans-dimensional and Approximate Bayesian Computation. Many applied scientists in Australia, particularly those in the biological, medical and environmental sciences are now interested in incorporating Bayesian statistical methodologies into their research.
The development of more generic and efficient Bayesian statistical methods will not only benefit applied statisticians but also the more occasional users of statistics in other disciplinary areas. The success of this project will enhance Australia's reputation as a strong contributor to the development of Bayesian methodologies. Two PhD students will also be provided training in computational Bayesian statistics.Read moreRead less
Ethics and Formal Theories of Decision. The benefits of this project will include improved methods for making ethically-informed decisions in various practical situations. Among the more important applications are legal decisions and conservation management. The theory developed in this project will also help shed light on both the statistical and ethical issues raised in much-debated areas such as racial profiling. The project will also serve to enhance Australia's reputation in technical philo ....Ethics and Formal Theories of Decision. The benefits of this project will include improved methods for making ethically-informed decisions in various practical situations. Among the more important applications are legal decisions and conservation management. The theory developed in this project will also help shed light on both the statistical and ethical issues raised in much-debated areas such as racial profiling. The project will also serve to enhance Australia's reputation in technical philosophy and decision theory.Read moreRead less
Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex ....Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex best interpolation by the applicant and his collaborators, is expected to provide fundamental theory for Newton-type methods being used for these problems with a vast number of applications in data fitting and curve and surface design.Read moreRead less
Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investig ....Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investigating how storage and transfer of information affects individual decision-making within a honey bee colony (University of Sydney)
2) Design of a new class of 'bee' algorithms that incorporate direct information transfer and are aimed at solving dynamic multicriterion optimisation problems (University of Leipzig).
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RichProlog, a System for Deducing, Inducing and Learning in the Declarative Programming Paradigm. The aim of the project is to contribute to bridge the gap between learning and logic, theoretically and practically. Our purpose is to extend considerably the scope of the declarative programming paradigm, and build a system that can be used to solve learning or discovery problems as encountered in Artificial Intelligence. The system will enable rapid prototyping when applied to problems involving d ....RichProlog, a System for Deducing, Inducing and Learning in the Declarative Programming Paradigm. The aim of the project is to contribute to bridge the gap between learning and logic, theoretically and practically. Our purpose is to extend considerably the scope of the declarative programming paradigm, and build a system that can be used to solve learning or discovery problems as encountered in Artificial Intelligence. The system will enable rapid prototyping when applied to problems involving deduction, induction, and nonmonotonic reasoning. We intend the system to become a standard tool for tackling a broad range of applications, and the underlying theory to provide new insights on the logical foundations of Artificial Intelligence.
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Market Model of Implied Volatility. The outcomes of the project will constitute a new methodology with a wide range of tools to handle the market uncertainties with practical applications in the finance industry. Consequently, the benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of modelling of complex stochastic systems and the benefits resulting from its commercially rele ....Market Model of Implied Volatility. The outcomes of the project will constitute a new methodology with a wide range of tools to handle the market uncertainties with practical applications in the finance industry. Consequently, the benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of modelling of complex stochastic systems and the benefits resulting from its commercially relevant elements. Read moreRead less