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
Discovery Early Career Researcher Award - Grant ID: DE120101761
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Solving intractable problems: from practice to theory and back. By analysing how theoretically intractable problems are solved in practice by highly optimised software solvers, this project aims at a better theoretical understanding of these problems. The gained mathematical insights will then be used to stimulate the development of new and improved software solvers.
Discovery Early Career Researcher Award - Grant ID: DE240100006
Funder
Australian Research Council
Funding Amount
$444,847.00
Summary
Robust Derivative-Free Algorithms for Complex Optimisation Problems. Mathematical optimisation gives a systematic way for optimal decision-making. This project aims to develop new mathematical tools for complex optimisation problems where limited problem information is available. It will generate new foundational theories for alternative optimisation tools, introducing substantial new capability and rigour to the discipline. The project will create significant new mathematical optimisation techn ....Robust Derivative-Free Algorithms for Complex Optimisation Problems. Mathematical optimisation gives a systematic way for optimal decision-making. This project aims to develop new mathematical tools for complex optimisation problems where limited problem information is available. It will generate new foundational theories for alternative optimisation tools, introducing substantial new capability and rigour to the discipline. The project will create significant new mathematical optimisation techniques and create world-leading and publicly available software. These new techniques and software may ultimately be able to solve some of the most complex optimisation problems in research and industry, such as improving long-term climate predictions and designing 3D-printed medical implants.Read moreRead less
Generalizing Multi-level Decision Support Handling Multi-objectives, Multi-followers and Uncertainty for Critical Resource Planning. The proposed multi-level optimisation techniques and fuzzy multi-objective multi-follower multi-level decision support system can be used widely in government and industries of Australia to reduce decision blindness, improve decision effectiveness, and therefore has the potential to increase the competitiveness of organizations. Many organizations in Australia are ....Generalizing Multi-level Decision Support Handling Multi-objectives, Multi-followers and Uncertainty for Critical Resource Planning. The proposed multi-level optimisation techniques and fuzzy multi-objective multi-follower multi-level decision support system can be used widely in government and industries of Australia to reduce decision blindness, improve decision effectiveness, and therefore has the potential to increase the competitiveness of organizations. Many organizations in Australia are decentralized and have a hierarchical structure. The proposed techniques are extremely effective for such kinds of organizations in critical planning, management and policy making, including tourism resource planning, water resource management, financial planning, healthcare planning, land-use planning, production planning, transportation planning, and power market planning.Read moreRead less
Group Decision Support Systems for Fuzzy Multi-objective Decision Problems. Most real-world decisions in organisations are made by groups addressing multi-objectives. Further, the decision objectives are frequently characterized by fuzzy parameters and decision makers often utilise fuzzy judgments in attempting to reach optimal solutions. The project is the first to address all these issues: fuzzy objectives, fuzzy judgements, multi-objectives and groups in decision-making. The project will deve ....Group Decision Support Systems for Fuzzy Multi-objective Decision Problems. Most real-world decisions in organisations are made by groups addressing multi-objectives. Further, the decision objectives are frequently characterized by fuzzy parameters and decision makers often utilise fuzzy judgments in attempting to reach optimal solutions. The project is the first to address all these issues: fuzzy objectives, fuzzy judgements, multi-objectives and groups in decision-making. The project will develop a set of interactive decision-making methods to be used by groups solving fuzzy multi-objective decision problems with the allowance of fuzzy judgements, then develop a group decision support system to implement the methods. These outcomes can be immediately used by suitable Australian organisations.Read moreRead less
Generalized Information Fusion and Scheduling for Effective Situational Awareness. Research on the generalized information fusion will lead to better surveillance,monitoring & situational awareness technologies that will significantly enhance our national security and contribute to the strategic directions set by the Nation. It will deliver generic integrated uncertainty reasoning models, algorithms and implementations and will lead to enhanced interoperation capability across multiple collabora ....Generalized Information Fusion and Scheduling for Effective Situational Awareness. Research on the generalized information fusion will lead to better surveillance,monitoring & situational awareness technologies that will significantly enhance our national security and contribute to the strategic directions set by the Nation. It will deliver generic integrated uncertainty reasoning models, algorithms and implementations and will lead to enhanced interoperation capability across multiple collaborating organizations that have surveillance and situational awareness as their prime responsibilities (defence, police and the road transport authority). It will position the nation to use its relatively small defence force to maximum effectiveness in combating terrorism, crime and natural disasters like Tsunami & Earth quakes.
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Discovery Early Career Researcher Award - Grant ID: DE150100240
Funder
Australian Research Council
Funding Amount
$315,000.00
Summary
Geometry and Conditioning in Structured Conic Problems. Conic programming allows one to model and solve large industrial problems via modern optimisation methods, such as interior-point algorithms. These methods are efficient and reliable in solving a vast number of problems, however, they fail on a relatively small but significant set of ill-posed instances, thus affecting the overall reliability of the technique. The reason for such behaviour is profound and constitutes one of the major unsolv ....Geometry and Conditioning in Structured Conic Problems. Conic programming allows one to model and solve large industrial problems via modern optimisation methods, such as interior-point algorithms. These methods are efficient and reliable in solving a vast number of problems, however, they fail on a relatively small but significant set of ill-posed instances, thus affecting the overall reliability of the technique. The reason for such behaviour is profound and constitutes one of the major unsolved problems in real complexity: there is no known algorithm that solves conic problems with real data in polynomial time. The project aims to develop a deep understanding of the geometry of conic problems, aiming for the resolution of this fundamental problem in computational theory.Read moreRead less
Pervasive Grids with Autonomic Capabilities. A grid computing system that brings together a multitude of heterogonous resources able should be able to function continuously without much intervention by a human operator. This work aims at developing techniques and tools for the monitoring and prediction of the behaviour of the core structure of a grid. In this case, the ?core? structure is a large- or a wide-area network, or a collection of such networks. The monitoring process will feed into the ....Pervasive Grids with Autonomic Capabilities. A grid computing system that brings together a multitude of heterogonous resources able should be able to function continuously without much intervention by a human operator. This work aims at developing techniques and tools for the monitoring and prediction of the behaviour of the core structure of a grid. In this case, the ?core? structure is a large- or a wide-area network, or a collection of such networks. The monitoring process will feed into the other layers in the grid fabric important information (traffic, current and possible future congestions, failures, topological variations, etc) to enable the efficient and consistent operation of the grid. This is an important research problem in grid computing
since traditional assumptions that are more or less valid in conventional high-performance computing settings break down on the Grid.Read moreRead less
A Grid-Enabled Meta-Server for Protein Threading. Grid Computing is a driver for many e-Science research projects around the world today. The project investigates the use of grid technology in building a meta-server architecture for protein threading. Protein technology problems are important for the field of bioinformatics and they also influence many industries, such as, agriculture, drug design, food science, and many more. The proposed framework can be extended to other problems in the life ....A Grid-Enabled Meta-Server for Protein Threading. Grid Computing is a driver for many e-Science research projects around the world today. The project investigates the use of grid technology in building a meta-server architecture for protein threading. Protein technology problems are important for the field of bioinformatics and they also influence many industries, such as, agriculture, drug design, food science, and many more. The proposed framework can be extended to other problems in the life sciences such as bio- and health-informatics. Projects of this nature are significant and will enable Australia to maintain its pioneering position and international reputation among other nations as leaders in Information Technology.Read moreRead less
Algorithms for hard graph problems based on auxiliary data. When solving computational problems, algorithms usually access only the data that is absolutely necessary to define the problem. However, much more data is often readily available. Especially for important or slowly evolving data, such as road networks, social graphs, company rankings, or molecules, more and more auxiliary data becomes available through computational processes, sensors, and simple user entries. This auxiliary data can g ....Algorithms for hard graph problems based on auxiliary data. When solving computational problems, algorithms usually access only the data that is absolutely necessary to define the problem. However, much more data is often readily available. Especially for important or slowly evolving data, such as road networks, social graphs, company rankings, or molecules, more and more auxiliary data becomes available through computational processes, sensors, and simple user entries. This auxiliary data can greatly speed up an algorithm and improve its accuracy. This project aims to design improved algorithms that harness auxiliary data to solve selected high-impact NP-hard graph problems, and will build a new empowering theory to discern when auxiliary data can be used to improve algorithms.Read moreRead less