The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Aus ....A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Australian universities and a leading European Research Institute. It will provide employment and vital training for two postdoctoral Research fellows and research projects for three postgraduate students and two honours students.Read moreRead less
Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limit ....Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limitations and the convergence properties of the proposed
algorithms. The outcomes will be widely applicable in modelling of
large scale and complex data as is encountered in areas of
bioinformatics, physics and experimental studies of complex systems.
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Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelli ....Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelling of physical, chemical and biological systems, filtering and compression of signals and data classification and clustering. We propose two new hybrid models for realistic transforms in a general structural framework.
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Fast, practical and effective algorithms for clustering with advice. To maintain a safe and healthy society, government and industry need high quality immunization and national security databases. Since we cannot afford to have duplicate, incomplete and conflicting records that refer to the same person, we unify them by identifying clusters of related records.
In the emerging field of functional genomics, diagnosis of certain diseases is enhanced by determining which genes act together. Diffe ....Fast, practical and effective algorithms for clustering with advice. To maintain a safe and healthy society, government and industry need high quality immunization and national security databases. Since we cannot afford to have duplicate, incomplete and conflicting records that refer to the same person, we unify them by identifying clusters of related records.
In the emerging field of functional genomics, diagnosis of certain diseases is enhanced by determining which genes act together. Different experimental runs might result in different clusterings of genes: we need one consensus clustering that summarizes the experimental outcomes.
Cleaning databases and combining clusterings by hand would require vast amounts of time. This project will result in faster and more accurate computational procedures.Read moreRead less
Content-based image retrieval using interactive feedback. Storage and retrieval of visual information plays an important role in multimedia systems. We aim to develop a method to retrieve images and visual information from multimedia databases and multimedia systems. The method will go beyond simple similarity search to retrieval data on knowledge by accommodating knowledge acquisition and sequential learning techniques, and will be able to handle complex queries with partial information. The ....Content-based image retrieval using interactive feedback. Storage and retrieval of visual information plays an important role in multimedia systems. We aim to develop a method to retrieve images and visual information from multimedia databases and multimedia systems. The method will go beyond simple similarity search to retrieval data on knowledge by accommodating knowledge acquisition and sequential learning techniques, and will be able to handle complex queries with partial information. The technology developed will find many applications in the multimedia area such as education, medical imaging, desktop publishing, advertising, business presentation, and engineering design.Read moreRead less
A scheme and a formal language for interactive video. Video has been increasingly used in many fields and plays an important role in our daily life. Most traditional video players and video formats only provide linear interaction, such as play, fast forward, fast backward or jump to a certain frame of a video stream indicated by a sequence or time on a random access device. This project aims at enabling a hyperlink type of interactions for video data through the development of video interaction ....A scheme and a formal language for interactive video. Video has been increasingly used in many fields and plays an important role in our daily life. Most traditional video players and video formats only provide linear interaction, such as play, fast forward, fast backward or jump to a certain frame of a video stream indicated by a sequence or time on a random access device. This project aims at enabling a hyperlink type of interactions for video data through the development of video interaction mark-up language (VIML). It can find many applications in education, marketing, web presentation and digital TV.Read moreRead less
Efficient Synchronisation of Large Repositories. Accuracy and maintenance of vast quantities of data are essential for any modern society. The economy, health institutes and industries, and our defence and legal systems rely on having data being distributed widely and securely, and on queries being answered accurately and quickly. Complete synchronisation of databases is often impossible due to the limitations of internet bandwidth. Better compression techniques have the potential to allow crit ....Efficient Synchronisation of Large Repositories. Accuracy and maintenance of vast quantities of data are essential for any modern society. The economy, health institutes and industries, and our defence and legal systems rely on having data being distributed widely and securely, and on queries being answered accurately and quickly. Complete synchronisation of databases is often impossible due to the limitations of internet bandwidth. Better compression techniques have the potential to allow critical data to be distributed much more efficiently; we anticipate in some applications that the size of a compressed file could be reduced tenfold or more compared to previous best methods, leading to dramatic savings.Read moreRead less
Service-oriented negotiation and coordination in multi-agent systems. Australia has a strong competitive advantage in the area of agent software. The outcomes of this project will provide an improved platform for services in application areas such as finance, e-commerce, tourism, and multi-platform media. More broadly, the work proposed here will enable the IT industry in Australia, and Melbourne specifically, to adopt and utilise agent-technology in developing the complex software that is inc ....Service-oriented negotiation and coordination in multi-agent systems. Australia has a strong competitive advantage in the area of agent software. The outcomes of this project will provide an improved platform for services in application areas such as finance, e-commerce, tourism, and multi-platform media. More broadly, the work proposed here will enable the IT industry in Australia, and Melbourne specifically, to adopt and utilise agent-technology in developing the complex software that is increasingly required to meet the needs of the software-driven knowledge economy of the 21st century.Read moreRead less
Algebraic Properties of Cryptographic Components and their Cryptanalysis. The outcomes will enhance information and communication security, which is absolutely crucial for the rapidly growing e-commerce and e-government services in Australia. International collaboration will be strengthened by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. Our project will help to maintain a high profile of Australian researchers, to i ....Algebraic Properties of Cryptographic Components and their Cryptanalysis. The outcomes will enhance information and communication security, which is absolutely crucial for the rapidly growing e-commerce and e-government services in Australia. International collaboration will be strengthened by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. Our project will help to maintain a high profile of Australian researchers, to increase the capacity for consultancy and contract work, and provide a cutting-edge information technology for the Australian telecommunications industry, business and government.Read moreRead less