Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelli ....Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelling of physical, chemical and biological systems, filtering and compression of signals and data classification and clustering. We propose two new hybrid models for realistic transforms in a general structural framework.
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A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient ....A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.Read moreRead less
Control and safety monitoring systems for large scale irrigation networks. The water losses in irrigation channels in Australia are large, but they can be substantially reduced by employing advanced control and monitoring systems, leading to significant environmental benefits. Due to the large size of the irrigation networks, design of control and monitoring systems represents technical challenges for which there are currently no good methodologies. In this project we will develop design methodo ....Control and safety monitoring systems for large scale irrigation networks. The water losses in irrigation channels in Australia are large, but they can be substantially reduced by employing advanced control and monitoring systems, leading to significant environmental benefits. Due to the large size of the irrigation networks, design of control and monitoring systems represents technical challenges for which there are currently no good methodologies. In this project we will develop design methodologies, and in particular we will focus on issues relating to the communication constraints arising since data are transmitted over a radio network and the trade off between robustness and performance in centralised and decentralised designs.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
Efficient Design for Generalized Linear Models. In industrial, commercial and social research, we collect data in order to predict the outcome of a process based on the inputs to that process. We want to maximize the information that is gained from the data. Good planning is crucially important to achieve this. This project will determine how best to select the inputs to the process for many situations that occur in research. A computer package to answer these questions will be written. The nati ....Efficient Design for Generalized Linear Models. In industrial, commercial and social research, we collect data in order to predict the outcome of a process based on the inputs to that process. We want to maximize the information that is gained from the data. Good planning is crucially important to achieve this. This project will determine how best to select the inputs to the process for many situations that occur in research. A computer package to answer these questions will be written. The nation will benefit from a fundamental increase in efficiency of research and, therefore, in efficient use of research dollars.Read moreRead less
Algebraic Properties of Cryptographic Components and their Cryptanalysis. The outcomes will enhance information and communication security, which is absolutely crucial for the rapidly growing e-commerce and e-government services in Australia. International collaboration will be strengthened by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. Our project will help to maintain a high profile of Australian researchers, to i ....Algebraic Properties of Cryptographic Components and their Cryptanalysis. The outcomes will enhance information and communication security, which is absolutely crucial for the rapidly growing e-commerce and e-government services in Australia. International collaboration will be strengthened by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. Our project will help to maintain a high profile of Australian researchers, to increase the capacity for consultancy and contract work, and provide a cutting-edge information technology for the Australian telecommunications industry, business and government.Read moreRead less
Computer Assisted Research Mathematics and its Applications. The mathematics community will benefit from infusion of new computer-assisted techniques and modalities for research and training post-graduate students, both from my pure research project and through development of an associated research centre. Ultimately, this should also help more school students learn mathematics well and so play a part in addressing Australia's skill shortage. Also, the work on optimization algorithms promises to ....Computer Assisted Research Mathematics and its Applications. The mathematics community will benefit from infusion of new computer-assisted techniques and modalities for research and training post-graduate students, both from my pure research project and through development of an associated research centre. Ultimately, this should also help more school students learn mathematics well and so play a part in addressing Australia's skill shortage. Also, the work on optimization algorithms promises to improve the performance and quality of many practical signal reconstruction methods. These are used by varied Australian industries from telecommunication to mining and by researchers in the digital arts and fields such as astronomy, physics, chemistry, bioscience, geoscience, engineering and medicine.Read moreRead less
Analysis and classification of malicious code. Malicious software such as viruses and worms directly attacks the security, privacy and integrity of Australian e-commerce, large databases and communication channels. The recent uptake of malicious software by organised crime has made finding effective countermeasures more urgent. Around 80% of the malicious code in circulation is disguised in some way. This significantly increases the difficulty of automated detection and delays analysis. Automate ....Analysis and classification of malicious code. Malicious software such as viruses and worms directly attacks the security, privacy and integrity of Australian e-commerce, large databases and communication channels. The recent uptake of malicious software by organised crime has made finding effective countermeasures more urgent. Around 80% of the malicious code in circulation is disguised in some way. This significantly increases the difficulty of automated detection and delays analysis. Automated classification and de-obfuscation technologies are a precondition to applying more sophisticated detection heuristics. The project will be instrumental in safeguarding Australia by protecting critical infrastructure and defending us from online organised crime and information warfare.Read moreRead less
Fault tolerant multisensor feedback control. This project will advance knowledge by deepening the theoretical understanding of the interplay between multisensory data and feedback control mechanisms. It will also expand the tool sets of control engineering with innovative multisensory control designs. We see major benefits for Australia arising from this project both by enhancing its scientific reputation and by promoting technological advances in its industries and services. The project has pot ....Fault tolerant multisensor feedback control. This project will advance knowledge by deepening the theoretical understanding of the interplay between multisensory data and feedback control mechanisms. It will also expand the tool sets of control engineering with innovative multisensory control designs. We see major benefits for Australia arising from this project both by enhancing its scientific reputation and by promoting technological advances in its industries and services. The project has potential to contribute to the National Research Priority area: Frontier Technologies for Building and Transforming Australian Industries, since it has direct impact on the relevant areas of biotechnology, information, communication technology, nanotechnology and sensor technology.Read moreRead less
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