Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, i ....Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, integer models usually assume the data is known with certainty, which is often not the case in the real world. This project will develop new theory and algorithms to enhance the analysis of integer models, including those that incorporating uncertainty, while also enabling the use of parallel computing paradigms. Read moreRead less
Construction of utility functions from observations of consumer behaviour with application to resource modelling and water management strategies. The optimisation techniques developed will be on the forefront of applied mathematical sciences and will increase the prestige of the Australian mathematical community. The expected results will also be of value because they can be used to improve the CGE modelling technique. The implementation of the CGE model of one of Victoria's agricultural regions ....Construction of utility functions from observations of consumer behaviour with application to resource modelling and water management strategies. The optimisation techniques developed will be on the forefront of applied mathematical sciences and will increase the prestige of the Australian mathematical community. The expected results will also be of value because they can be used to improve the CGE modelling technique. The implementation of the CGE model of one of Victoria's agricultural regions will be used to improve the accuracy of regional economic models and will contribute to efficient regional resource management. This has the potential to positively affect the economic growth and employment in the region. The expected outcomes of the project are especially important taking into account the need for predicting the socio-economic consequences of the 1994 COAG water reforms. Read moreRead less
Foundation technology for quantum measurement, sensing and computing. This project will advance quantum control of cold ions, atoms and diamond colour centres for application of quantum science to high-tech problems, from ion-based quantum computing to diamond-based quantum imaging inside living cells.
Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale i ....Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale imaging inside living human cells. This project aims to continue and develop this role.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. ....Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. Coupled with the availability of dramatically increased computer power, this project takes advantage of a unique position to make dramatic advances in the afore-mentioned research areas. Furthermore, the methods have wider applicability than those mentioned.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE140100131
Funder
Australian Research Council
Funding Amount
$500,000.00
Summary
National Facility for Cryogenic Photonics. National facility for cryogenic photonics: The project will establish a multi-disciplinary, multi-user facility for the development and analysis of photonic materials and devices at cryogenic temperatures, heralding a new paradigm in quantum optical research in Australia. The two nodes, one for photonic materials development and one for quantum device characterisation, will enable new physical phenomena to be discovered, new materials to be developed an ....National Facility for Cryogenic Photonics. National facility for cryogenic photonics: The project will establish a multi-disciplinary, multi-user facility for the development and analysis of photonic materials and devices at cryogenic temperatures, heralding a new paradigm in quantum optical research in Australia. The two nodes, one for photonic materials development and one for quantum device characterisation, will enable new physical phenomena to be discovered, new materials to be developed and will ultimately result in the creation of ground-breaking new photonic technologies. This collaborative facility will play a role in the quantum revolution, hailed as the next major step in societal evolution, providing breakthroughs in modern technology and placing Australia at the forefront of this field.Read moreRead less