Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limit ....Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limitations and the convergence properties of the proposed
algorithms. The outcomes will be widely applicable in modelling of
large scale and complex data as is encountered in areas of
bioinformatics, physics and experimental studies of complex systems.
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eGenomics - Next generation biomonitoring of threatened species. DNA is the molecule of life and exists everywhere in the environment as a largely untapped source of information on evolution, biodiversity, and ecosystem health. Our overriding aim is to start mining that information to benefit threatened species. Based on optimized ancient DNA methods, powerful sequencing technology, whole genome analyses, and RNA profiling, we present a novel and holistic framework for genetic biomonitoring. In ....eGenomics - Next generation biomonitoring of threatened species. DNA is the molecule of life and exists everywhere in the environment as a largely untapped source of information on evolution, biodiversity, and ecosystem health. Our overriding aim is to start mining that information to benefit threatened species. Based on optimized ancient DNA methods, powerful sequencing technology, whole genome analyses, and RNA profiling, we present a novel and holistic framework for genetic biomonitoring. In two parallel model systems we will study corals and reptiles to improve environmental detection while simultaneously obtaining information on their population health. This will foster more efficient conservation of endangered species that are of tremendous importance to our marine and terrestrial ecosystems.Read moreRead less
High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with i ....High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with international experts, we
will have a share in further strengthening the excellent role of
Australian research institutions within the international scientific
community in mathematics and scientific computing.Read moreRead less
Can lateral gene transfer lead to ecological innovation in eukaryotes? The role of saxitoxin in the diversification of Alexandrium. This project will determine the processes that led to the acquisition and diversification of the genetic basis for a potent neurotoxin, saxitoxin. This project will determine its impact on the evolution of the marine producing organisms and investigate novel genetic methods of toxin detection.
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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Photosynthetic traits as “key performance indicators” of coral health. The objective of this project is to advance knowledge on the healthy functioning of the coral–algal symbiosis, which defines the response of coral reef ecosystems to worldwide environmental change. Current approaches to address this problem have linked coral health to algal symbiont diversity but have been unable to resolve the fundamental symbiont functional traits that govern this link – the “key performance indicators (KPI ....Photosynthetic traits as “key performance indicators” of coral health. The objective of this project is to advance knowledge on the healthy functioning of the coral–algal symbiosis, which defines the response of coral reef ecosystems to worldwide environmental change. Current approaches to address this problem have linked coral health to algal symbiont diversity but have been unable to resolve the fundamental symbiont functional traits that govern this link – the “key performance indicators (KPIs)”. This project plans to couple advanced physiological and functional genomics techniques to transform our understanding of how algal symbiont metabolic KPIs regulate coral growth and stress susceptibility. This may provide new diagnostic capability for the assessment of coral health and may enable us to improve coral reef ecosystem management.Read moreRead less
Cryptographic Protocols: Proofs and Designs. Cryptographic protocols are the foundation for protection of the critical electronic communications infrastructure on which much of commerce and industry rely. They will increasingly be required in emerging technologies such as ad-hoc wireless networks and sensor networks. This project will provide the ability to design new and efficient protocols with a mathematical guarantee of security. The resulting practical protocols will benefit all users of el ....Cryptographic Protocols: Proofs and Designs. Cryptographic protocols are the foundation for protection of the critical electronic communications infrastructure on which much of commerce and industry rely. They will increasingly be required in emerging technologies such as ad-hoc wireless networks and sensor networks. This project will provide the ability to design new and efficient protocols with a mathematical guarantee of security. The resulting practical protocols will benefit all users of electronic communications who require security for their information. This includes the financial industries, government, commerce and domestic users.Read moreRead less
Cryptographic Protocols from Pairings: Proofs and Designs. Modern society has become critically dependent on information and communications infrastructures. At the same time, the development of e-commerce is being slowed by lack of confidence in its security. By providing increased assurance and enhanced cryptographic security protocols this research will improve the dependability of the nation's information and communications infrastructure, as well as encourage the growth of e-commerce. Throu ....Cryptographic Protocols from Pairings: Proofs and Designs. Modern society has become critically dependent on information and communications infrastructures. At the same time, the development of e-commerce is being slowed by lack of confidence in its security. By providing increased assurance and enhanced cryptographic security protocols this research will improve the dependability of the nation's information and communications infrastructure, as well as encourage the growth of e-commerce. Through the expertise and experience gained with this project, Australia's excellence in information security research will be reinforced. The training of PhD and Honours students will provide a much needed source of highly trained information security professionals.Read moreRead less
Risk management and funding structures: an econometric panel data analysis of health insurance in Australia. This research analyses how subsidies to Australian health insurance, both public and private, vary by income, risk of loss, age and region. It will provide the necessary information to guide future health funding by analysing the equity and efficiency of existing subsidies and alternative subsidies related to individuals' risk of high health costs.
Complexity Constrained Iterative Information Processing. The contribution of Information and Communications Technologies to the National Economy has been widely recognized. ICT enables wealth creation, employment and exports, and underpins many innovation processes. Immediate project benefits will be: Contribution to the knowledge base and fundamental capabilities in high-speed wireless communications networks; Education of future Australian academic and industrial innovators; Raising the inter ....Complexity Constrained Iterative Information Processing. The contribution of Information and Communications Technologies to the National Economy has been widely recognized. ICT enables wealth creation, employment and exports, and underpins many innovation processes. Immediate project benefits will be: Contribution to the knowledge base and fundamental capabilities in high-speed wireless communications networks; Education of future Australian academic and industrial innovators; Raising the international profile of Australian research in the area of information technology. Applied development of the outcomes will lead to the generation of valuable intellectual property. Close links to Australian industry ensures that Australian ICT companies stand to gain commercial advantage.Read moreRead less