Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to bu ....Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to build practical mathematical models for droplet impaction, spreading and evaporation on leaf surfaces, and experimentally calibrate and validate the models. The software is expected to drive the development of agrichemical products that increase retention, minimise environmental impacts, and reduce costs for end-users.Read moreRead less
Phylodynamics for Single Cell Genomics . This project generates the mathematical framework required to look at single cell data in developmental systems and tissues. All cells in a multi-cellular organism derive from a single ancestral cell, generally the fertilised egg cell. Phylodynamics provides a framework to analyse and model this data, by connecting the shared ancestry of cells in an organism to the cell population and tissue dynamics. By developing the mathematical and statistical foundat ....Phylodynamics for Single Cell Genomics . This project generates the mathematical framework required to look at single cell data in developmental systems and tissues. All cells in a multi-cellular organism derive from a single ancestral cell, generally the fertilised egg cell. Phylodynamics provides a framework to analyse and model this data, by connecting the shared ancestry of cells in an organism to the cell population and tissue dynamics. By developing the mathematical and statistical foundations for the analysis of single cell data in a phylodynamic framework we will establish a powerful new computational tools for the analysis of tissues and developmental processes. Read moreRead less
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
Australian Laureate Fellowships - Grant ID: FL140100012
Funder
Australian Research Council
Funding Amount
$2,830,000.00
Summary
Stress-testing algorithms: generating new test instances to elicit insights. Stress-testing algorithms: generating new test instances to elicit insights. This project aims to develop a new paradigm in algorithm testing, creating novel test instances and tools to elicit insights into algorithm strengths and weaknesses. Such advances are urgently needed to support good research practice in academia, and to avoid disasters when deploying algorithms in practice. Extending our recent work in algorith ....Stress-testing algorithms: generating new test instances to elicit insights. Stress-testing algorithms: generating new test instances to elicit insights. This project aims to develop a new paradigm in algorithm testing, creating novel test instances and tools to elicit insights into algorithm strengths and weaknesses. Such advances are urgently needed to support good research practice in academia, and to avoid disasters when deploying algorithms in practice. Extending our recent work in algorithm testing for combinatorial optimisation, described as 'ground-breaking,' this project aims to tackle the challenges needed to generalise the paradigm to other fields such as machine learning, forecasting, software testing, and other branches of optimisation. An online repository of test instances and tools aim to provide a valuable resource to improve research practice and support new insights into algorithm performance.Read moreRead less
Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential app ....Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential applications in computer and telecommunication industries, and advance significantly our knowledge on relevant subjects of mathematics and operations research. Read moreRead less
Efficient computational methods for worst-case analysis and optimal control of nonlinear dynamical systems. Natural and technological systems can exhibit extremely complicated behaviour in worst-case scenarios. This project will develop efficient mathematical and computational tools that will enable this behaviour to be understood and controlled.
Maximizing Dimensional Efficiency With Minimal Cardinality Pattern Combinations. Making optimal use of dimensional capacity is often fundamental to the efficiency of processes in science and industry. Many important applications use combinations of patterns to achieve this. For example, in paper and in steel manufacturing, reels are divided lengthwise into cutting patterns, combined so as to minimize waste. In medicine, radiation patterns are combined to effectively treat cancerous tumours. ....Maximizing Dimensional Efficiency With Minimal Cardinality Pattern Combinations. Making optimal use of dimensional capacity is often fundamental to the efficiency of processes in science and industry. Many important applications use combinations of patterns to achieve this. For example, in paper and in steel manufacturing, reels are divided lengthwise into cutting patterns, combined so as to minimize waste. In medicine, radiation patterns are combined to effectively treat cancerous tumours. By addressing the common mathematical structure underlying pattern combination, this project will account for a hitherto neglected critical factor - the solution cardinality - making fully optimized solutions available for the first time to many applications in science and industry.Read moreRead less
Combining mathematical programming and constraint programming to solve large-scale integrated scheduling problems. This project will target major savings in the airline industry, with resulting benefits for others such as tourism. The efficient use of airline fuel, which will be directly addressed in the project, is very important for the environment. The algorithms developed can improve cost and quality of service for Australian transportation, manufacturing and other industries.
The solut ....Combining mathematical programming and constraint programming to solve large-scale integrated scheduling problems. This project will target major savings in the airline industry, with resulting benefits for others such as tourism. The efficient use of airline fuel, which will be directly addressed in the project, is very important for the environment. The algorithms developed can improve cost and quality of service for Australian transportation, manufacturing and other industries.
The solutions developed within the project will be sold by the industrial partner, CTI, into major companies worldwide, and the technology will be used to develop further products.
Finally the project will extend Australia's lead in constraint programming and expertise in optimisation. This creates a major opportunity for the Australian software industry.
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From Tactical Planning to Operational Control - Bridging the Chasm. All organisations plan, and all organisations suffer from the disruptions that occur when plans are put into practice. Few organisations manage to balance operational control with planning to as to maintain both efficiency and flexibility to deal with the unexpected. This project addresses this requirement for the transportation and logistics industries.
The results discovered within the project will enable the industrial ....From Tactical Planning to Operational Control - Bridging the Chasm. All organisations plan, and all organisations suffer from the disruptions that occur when plans are put into practice. Few organisations manage to balance operational control with planning to as to maintain both efficiency and flexibility to deal with the unexpected. This project addresses this requirement for the transportation and logistics industries.
The results discovered within the project will enable the industrial partner, CTI, to develop solutions for major companies worldwide. The technology will be used to build further optimisation products.
Moreover the project will extend Australia's lead in constraint programming and expertise in optimisation. This creates a major opportunity for Australia's software industry.
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Modelling and estimation methods for discrete multi-dimensional systems. Multi-dimensional signal processing plays a role in a variety of application areas, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The success of the project will provide mathematical tools for the advancement of the state-of-the-art in these broad areas.