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
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
Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The futu ....Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The future development of 'personalized medicine' will rely upon understanding the function of human genes, as will progress in the agricultural sector. Rigorous statistical analysis and development of appropriate bioinformatic methods are crucial to biological sequence analysis in comparative genomics.Read moreRead less
Statistical Advances in the Post-Genome Era. Biologically relevant statistical foundations for post-genome biology and biotechnology will be developed. Specific goals of the topics include the development of accurate and more efficient algorithms for sequence alignments, improved models to maximise the accuracy of analyses for gene expression data and superior statistical methods for identification of complex gene networks that predispose an organism to disease. The Project will make significant ....Statistical Advances in the Post-Genome Era. Biologically relevant statistical foundations for post-genome biology and biotechnology will be developed. Specific goals of the topics include the development of accurate and more efficient algorithms for sequence alignments, improved models to maximise the accuracy of analyses for gene expression data and superior statistical methods for identification of complex gene networks that predispose an organism to disease. The Project will make significant contributions to the new and evolving priority research area of Bioinformation Science (including bioinformatics). Outcomes will include novel techniques for analysis and mining of post-genome data, with applications to developments in Bio-medicine and Bio-agricultureRead moreRead less