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
Iterative Architechtures for Data Communications. Growing markets for data intensive applications such as real-time video or speech necessitate continual improvements of communications systems. Iterative information processing algorithms have recently received attention for communications equipment design, however theoretical understanding of these methods is still lacking. Within an iterative processing paradigm, the project aim is the optimization of complex communications systems subject to c ....Iterative Architechtures for Data Communications. Growing markets for data intensive applications such as real-time video or speech necessitate continual improvements of communications systems. Iterative information processing algorithms have recently received attention for communications equipment design, however theoretical understanding of these methods is still lacking. Within an iterative processing paradigm, the project aim is the optimization of complex communications systems subject to constraints on computational complexity. Theoretical analysis and design methodologies for such systems will be developed, resulting in basic contributions to statistical science and in cheaper communications infrastructures supporting a wider range of services through better use of limited bandwidth, power and computational complexity.Read moreRead less
Study of mathematical models of evolution using the theory of quantum games - strengthening the theoretical foundation of quantum computation. The fields of nanotechnology, quantum technology and quantum information processing are rapidly converging. This project aims to provide a novel approach in the fundamental understanding of quantum computation/information by using methods inspired by mathematics of evolutionary competition. The project will contribute towards the theoretical foundations o ....Study of mathematical models of evolution using the theory of quantum games - strengthening the theoretical foundation of quantum computation. The fields of nanotechnology, quantum technology and quantum information processing are rapidly converging. This project aims to provide a novel approach in the fundamental understanding of quantum computation/information by using methods inspired by mathematics of evolutionary competition. The project will contribute towards the theoretical foundations of quantum computation by complementing efforts of several groups in Australia collaborating on the experimental design of quantum computers. The outcome of this project will contribute towards the successful operation of quantum computers and will help maintain Australia's position in the global forefront of quantum computation/information.
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Parameterized Analysis of Bio-inspired Computing - From Theory to High Performing Algorithms. This project will establish the field of parameterised analysis of bio-inspired computing which includes prominent approaches such as evolutionary algorithms and ant colony optimisation. It will rigorously analyse features of instances of combinatorial optimisation problems and their impact on the runtime behaviour of bio-inspired computing methods. Furthermore, the project will design new bio-inspired ....Parameterized Analysis of Bio-inspired Computing - From Theory to High Performing Algorithms. This project will establish the field of parameterised analysis of bio-inspired computing which includes prominent approaches such as evolutionary algorithms and ant colony optimisation. It will rigorously analyse features of instances of combinatorial optimisation problems and their impact on the runtime behaviour of bio-inspired computing methods. Furthermore, the project will design new bio-inspired computing algorithms that make use of instance features and hardness characteristics. The results will advance the theoretical knowledge of bio-inspired computing, bridge the gap between theory and practice, and provide more powerful algorithms for complex optimisation problems occurring for example in the field of supply chain management for the mining industry.Read moreRead less
New Analytical Perspectives on the Algorithmic Complexity of the Hamiltonian Cycle Problem. Hamiltonian Cycle Problem (HCP), known - in the complexity theory of
algorithms -to be NP-hard is proposed for study, from three innovative,
separate (yet related) analytical perspectives: singularly perturbed
(controlled) Markov chains, that links the HCP with systems and control
theories; parametric nonconvex optimization, that links HCP with fast
interior point methods of modern optimization an ....New Analytical Perspectives on the Algorithmic Complexity of the Hamiltonian Cycle Problem. Hamiltonian Cycle Problem (HCP), known - in the complexity theory of
algorithms -to be NP-hard is proposed for study, from three innovative,
separate (yet related) analytical perspectives: singularly perturbed
(controlled) Markov chains, that links the HCP with systems and control
theories; parametric nonconvex optimization, that links HCP with fast
interior point methods of modern optimization and the spectral approach
based on a novel adaptation of Ihara-Selberg trace formula for regular
graphs. Our mathematical approach to this archetypal complex problem of graph
theory and discrete optimization promises to enhance the fundamental
understanding - and ultimate "managibility" - of the underlying
difficulty of HCP.
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Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be ....Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be developed during the project can be turned into IP for Australia. This will contribute to catalysing development of internationally competitive financial risk management software industry.Read moreRead less
Multi-phase modelling and characterisation of mudrush hazard in cave mining. A mudrush is a sudden, uncontrolled flow of wet fine particles (mud) into an underground mine that damages equipment, infrastructure, and can even cause fatalities. This project aims to develop cost-effective management and monitoring of mudrush hazards within the at-risk Carrapateena cave mine operated by OZ Minerals. Building on recent technological and numerical advances, a novel experimental–theoretical–numerical ap ....Multi-phase modelling and characterisation of mudrush hazard in cave mining. A mudrush is a sudden, uncontrolled flow of wet fine particles (mud) into an underground mine that damages equipment, infrastructure, and can even cause fatalities. This project aims to develop cost-effective management and monitoring of mudrush hazards within the at-risk Carrapateena cave mine operated by OZ Minerals. Building on recent technological and numerical advances, a novel experimental–theoretical–numerical approach will be used to simulate mudrush risk based on moisture content, particle sizes, compaction, geological conditions, and seismic energy. Outputs will include a practical framework to boost the safety, productivity, and profitability of caving operations to benefit miners and the broader resources industry.Read moreRead less
Is New Guinea the missing link for understanding Australia’s rainforests? This project aims to understand the extent to which the animals in Australia have shared histories with animals from the islands of Melanesia, and especially New Guinea. Key outcomes will be identification of hotspots of unique and high evolutionary diversity across both regions, and understanding of whether New Guinea has been an overall refuge or source for rainforest animals as Australia became more arid over the last 2 ....Is New Guinea the missing link for understanding Australia’s rainforests? This project aims to understand the extent to which the animals in Australia have shared histories with animals from the islands of Melanesia, and especially New Guinea. Key outcomes will be identification of hotspots of unique and high evolutionary diversity across both regions, and understanding of whether New Guinea has been an overall refuge or source for rainforest animals as Australia became more arid over the last 20 million years. Expected benefits include addressing fundamental gaps in our knowledge of the history of both the Australian continent and its resident biota such as when landbridges first formed with New Guinea, and the identification of priority areas for conservation investment in both Australian and Melanesia.Read moreRead less