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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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
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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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
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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Special Research Initiatives - Grant ID: SR0354895
Funder
Australian Research Council
Funding Amount
$40,000.00
Summary
Financial Integrity Research Network (FIRN). FIRN will be directed towards innovation in the integrity and efficiency of Australia's financial system. To address pressing problems and threats associated with this key component of Australia's infrastructure, FIRN will bring together a multi-disciplinary network featuring internationally renowned academics in a unique collaborative research effort which will cross conventional disciplinary boundaries including financial economics, applied statist ....Financial Integrity Research Network (FIRN). FIRN will be directed towards innovation in the integrity and efficiency of Australia's financial system. To address pressing problems and threats associated with this key component of Australia's infrastructure, FIRN will bring together a multi-disciplinary network featuring internationally renowned academics in a unique collaborative research effort which will cross conventional disciplinary boundaries including financial economics, applied statistics, actuarial science, financial mathematics, market micro-structure, accounting and information systems. FIRN will be supported by SIRCA's world-class financial research infrastructure and industry network. It will deliver a range of innovative research, educational, professional development and applied outcomes.Read moreRead less
ARC Financial Integrity Research Network. The integrity of the financial system is constantly under stress because of the development of ever more complex financial instruments, structures and strategies, and the associated research technologies that continues to accelerate worldwide. FIRN's vision is to harness the considerable strengths of Australia's internationally renowned finance, accounting and economics researchers into a research agenda to address issues concerning the integrity of the ....ARC Financial Integrity Research Network. The integrity of the financial system is constantly under stress because of the development of ever more complex financial instruments, structures and strategies, and the associated research technologies that continues to accelerate worldwide. FIRN's vision is to harness the considerable strengths of Australia's internationally renowned finance, accounting and economics researchers into a research agenda to address issues concerning the integrity of the financial system. It will enable Australian research in this area to match the scale and impact of similar research in other major international financial centres, and play an essential role in placing Australia among the world's leaders in financial markets related research.Read moreRead less
Optimal Deployment of Wireless Sensor Networks. Wireless sensor networks consist of coordinated sensing devices that offer us new ways to understand and interact with the physical world. Australia is a leading player in developing such networks. For a given technology, the key to both optimising the quality of area monitoring and minimising the cost of a sensor network lies in deciding how best to deploy the sensors. We aim to develop powerful new methods to get the best performance from a plann ....Optimal Deployment of Wireless Sensor Networks. Wireless sensor networks consist of coordinated sensing devices that offer us new ways to understand and interact with the physical world. Australia is a leading player in developing such networks. For a given technology, the key to both optimising the quality of area monitoring and minimising the cost of a sensor network lies in deciding how best to deploy the sensors. We aim to develop powerful new methods to get the best performance from a planned sensor network. This will enhance Australia's research role in this area and directly benefit applications such as national security and environmental monitoring.
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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