Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex ....Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex best interpolation by the applicant and his collaborators, is expected to provide fundamental theory for Newton-type methods being used for these problems with a vast number of applications in data fitting and curve and surface design.Read moreRead less
Fluorine-labelled proteins for NMR spectroscopy. The technique developed in this project has direct impact on pharmaceutical research: NMR spectroscopy is used routinely to identify chemical compounds that bind to protein targets. This project includes the development of novel assignment techniques of 19F-labelled proteins, so that 19F-NMR can be used to detect specific binding interactions. One of the methods proposed here is designed to reveal structural information about the binding mode in s ....Fluorine-labelled proteins for NMR spectroscopy. The technique developed in this project has direct impact on pharmaceutical research: NMR spectroscopy is used routinely to identify chemical compounds that bind to protein targets. This project includes the development of novel assignment techniques of 19F-labelled proteins, so that 19F-NMR can be used to detect specific binding interactions. One of the methods proposed here is designed to reveal structural information about the binding mode in solution with atomic detail. This knowledge can significantly accelerate drug development. It is otherwise only available from crystal structures that can not always be determined.Read moreRead less
A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will prov ....A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will provide a sophisticated numerical technique for geotechnical engineers/scientists to determine geomechanical parameters accurately from in-situ observation and displacement measurements, leading to the optimal design of rock structures in subsequent analysis.Read moreRead less
Special Research Initiatives - Grant ID: SR0354727
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics for Government, Industry and Community -- The *Magic* Network. The *Magic* network will promote the use of mathematics by government, industry and community to analyse real problems and implement practical solutions. It will connect the most promising young Australian mathematicians to experienced researchers with strong research teams linked directly to the broader community. Our program will demand research excellence, emphasise a sustainable society, support outstanding young mat ....Mathematics for Government, Industry and Community -- The *Magic* Network. The *Magic* network will promote the use of mathematics by government, industry and community to analyse real problems and implement practical solutions. It will connect the most promising young Australian mathematicians to experienced researchers with strong research teams linked directly to the broader community. Our program will demand research excellence, emphasise a sustainable society, support outstanding young mathematicians and create opportunities for promising postgraduate students. We will offer scholarships for professional development and fund research visits and exchanges. *Magic* will provide tangible incentives for young Australian mathematicians and a new generation of researchers and research leaders.Read moreRead less
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
Unifying Modern Approaches in Machine Learning. The proposed research will lead to better algorithms for some important machine learning problems that could lead to better tools for extracting useful knowledge from data such as in bioinformatics and sensor networks; it will strengthen an international collaboration with one of the world's top centres of machine learning research; it will contribute to an open source toolkit of machine learning algorithms which will put Australia on the map as a ....Unifying Modern Approaches in Machine Learning. The proposed research will lead to better algorithms for some important machine learning problems that could lead to better tools for extracting useful knowledge from data such as in bioinformatics and sensor networks; it will strengthen an international collaboration with one of the world's top centres of machine learning research; it will contribute to an open source toolkit of machine learning algorithms which will put Australia on the map as a provider of sophisticated machine learning software; it will provide training opportunities for several PhD students and a postdoc to work with some of the best machine learning researchers in the world.Read moreRead less