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The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the pr ....Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the project will provide efficient and accurate tools for constructing feedback laws in high dimensions.Read moreRead less
Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such ....Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such as hydraulic conductivity and porosity will be estimated using multifractal techniques based on field data at the microscale. Once validated from measurements, the model will be used directly for resource management and planning.Read moreRead less
Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutic ....Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutical industry's competitiveness in the global market, (2) provide good medication for the treatment of various diseases, promoting good health of Australians, (3) lead to new mathematical models and solutions that are also applicable to such fields as resources and environmental systems.Read moreRead less
Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project ....Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project benefits Australia by (i) extending and exploiting our research advantages in advanced photonics and computational rheology, (ii) providing the 'missing link' for large-scale mPOF production and positioning us to reap the economic benefits of this innovative technology, and (iii) providing computational techniques for rheological modelling that are applicable in diverse Australian industry sectors.Read moreRead less
Approximate algorithms and architectures for area efficient system design. This project aims to develop simpler but reliable image recognition systems that can run on low-cost, small-scale platforms, for use in driver monitoring system (DMS) applications. Cheaper reliable DMS will lead to wider availability of this technology to end users and improve safety of motor vehicles. This project will develop approximate algorithmic and circuit techniques, provide training for research students and buil ....Approximate algorithms and architectures for area efficient system design. This project aims to develop simpler but reliable image recognition systems that can run on low-cost, small-scale platforms, for use in driver monitoring system (DMS) applications. Cheaper reliable DMS will lead to wider availability of this technology to end users and improve safety of motor vehicles. This project will develop approximate algorithmic and circuit techniques, provide training for research students and build capability in the area of approximate computing. It is also expected to lead to commercial products, licences and revenue, which will enable new job creation.
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Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will rev ....Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will revolutionise the field of optimal control through the development of new theory and computational tools for optimising discrete input variables in constrained nonlinear systems. The new results will be applied to solve critical problems in the areas of shale-gas extraction, chromatography, pipeline transportation, and micro-robots.Read moreRead less
Fast, practical and effective algorithms for clustering with advice. To maintain a safe and healthy society, government and industry need high quality immunization and national security databases. Since we cannot afford to have duplicate, incomplete and conflicting records that refer to the same person, we unify them by identifying clusters of related records.
In the emerging field of functional genomics, diagnosis of certain diseases is enhanced by determining which genes act together. Diffe ....Fast, practical and effective algorithms for clustering with advice. To maintain a safe and healthy society, government and industry need high quality immunization and national security databases. Since we cannot afford to have duplicate, incomplete and conflicting records that refer to the same person, we unify them by identifying clusters of related records.
In the emerging field of functional genomics, diagnosis of certain diseases is enhanced by determining which genes act together. Different experimental runs might result in different clusterings of genes: we need one consensus clustering that summarizes the experimental outcomes.
Cleaning databases and combining clusterings by hand would require vast amounts of time. This project will result in faster and more accurate computational procedures.Read moreRead less
Visual interaction methods for clustered graphs. This project aims to improve human understanding of huge network data sets, such as those arising in social networks, biological networks, and very large software structures. The project will enable analysts to explore and interact with such data sets, leading to better understanding.
Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient al ....Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient algorithmic approaches for difficult problems enable advances in all areas of computer applications such as medical diagnosis and health prediction, national security, communications efficiency, industrial productivity and all fields of science and engineering.Read moreRead less