Complexity in Algebra and Algebra in Complexity: the role of finite semigroups and general algebra. Algebra and logic form the mathematical framework for expressing and analysing algorithms and their difficulty. We can then scientifically analyse what makes some tasks more difficult than others. This project unifies parallel areas of algebra to focus on two key topics at this interface between algebra and computational complexity. As a flow on, our work can uncover new algorithms for solving ....Complexity in Algebra and Algebra in Complexity: the role of finite semigroups and general algebra. Algebra and logic form the mathematical framework for expressing and analysing algorithms and their difficulty. We can then scientifically analyse what makes some tasks more difficult than others. This project unifies parallel areas of algebra to focus on two key topics at this interface between algebra and computational complexity. As a flow on, our work can uncover new algorithms for solving constraint problems and for the study of formal languages.
With a team of top international researchers developing new interactions between mathematics and the study of algorithms, the project will foster a culture of innovation and bring Australia into the play in this internationally competitive area.Read moreRead less
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
Mathematical, logical and computational foundations of hybrid control systems, and their application to design and synthesis problems in control engineering. Hybrid control systems are mathematical models of heterogeneous systems consisting of digital computer components interacting in real-time with continuous physical processes. Their many engineering applications include air traffic control, medical technology and automated transport. Motivated by such safety-critical and high-confidence appl ....Mathematical, logical and computational foundations of hybrid control systems, and their application to design and synthesis problems in control engineering. Hybrid control systems are mathematical models of heterogeneous systems consisting of digital computer components interacting in real-time with continuous physical processes. Their many engineering applications include air traffic control, medical technology and automated transport. Motivated by such safety-critical and high-confidence applications, the project aims to develop a unified framework of mathematical logics adequate to formally represent and reason about the structure, behaviour, and properties of hybrid control systems, and use this to develop methodologies for automatically synthesising hybrid control programs that are provably correct with respect to their specifications. Other outcomes include prototype software implementations of hybrid controller design tools.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
Adapting the Bulk Synchronous Parallel processing model to Peer-to-Peer Networked Computing. Advances in distributed computing have shown that data parallel and parametric applications domains are amenable to wide area distribution. The project will advance the Bulk Synchronous Parallel processing model to describe innovative applications from the loosely synchronous domain, e.g. fluid dynamics, strategy algorithms and N-body problems are challenges that have significant scientific and industria ....Adapting the Bulk Synchronous Parallel processing model to Peer-to-Peer Networked Computing. Advances in distributed computing have shown that data parallel and parametric applications domains are amenable to wide area distribution. The project will advance the Bulk Synchronous Parallel processing model to describe innovative applications from the loosely synchronous domain, e.g. fluid dynamics, strategy algorithms and N-body problems are challenges that have significant scientific and industrial value. The project specializes the exciting peer-to-peer paradigm, a frontier of inter-networking technology. By using the latest techniques and taking advantage of the technology implosion caused by low cost parallel infrastructure, the project outcomes will give Australia a strong position in the future of parallel technology.Read moreRead less
Approximate structures for efficient processing of data streams. This project aims to increase the volume of streamed data that can be handled on a low-powered device with limited memory. In finance, health, and transport, data arrives at enormous rates, and data-driven decisions must be made quickly. Likewise, to keep Australia secure, national agencies monitor and gather vast data sets. Increasingly, devices and monitors that have limited resources are making these decisions and they require c ....Approximate structures for efficient processing of data streams. This project aims to increase the volume of streamed data that can be handled on a low-powered device with limited memory. In finance, health, and transport, data arrives at enormous rates, and data-driven decisions must be made quickly. Likewise, to keep Australia secure, national agencies monitor and gather vast data sets. Increasingly, devices and monitors that have limited resources are making these decisions and they require computational techniques that run extremely efficiently. The project expects to develop and improve approximate data structures that operate in tight resource bounds. Anticipated outcomes are improved event recognition and dramatic speedup in analysis of streams in areas such as finance, health, transport, and urban data.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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Next-generation techniques for analysing massive data sets. To process enormous amounts of data, leading computing companies are turning to modern computing frameworks, for which little theory of efficient computational techniques has been developed. This project will resolve key theoretical questions and provide fast techniques for poorly understood pattern recognition and bioinformatics problems.
More information for better utility; less information for better privacy. More information for better utility; less information for better privacy. The contradiction is everywhere in contemporary IT: doctors need accurate information for diagnosis, but insurance companies' access should be limited; on-line retailers use your postcode to present interesting products, but they also deduce from it how much you will pay. One way to manage this contradiction is to tolerate "small" information flows p ....More information for better utility; less information for better privacy. More information for better utility; less information for better privacy. The contradiction is everywhere in contemporary IT: doctors need accurate information for diagnosis, but insurance companies' access should be limited; on-line retailers use your postcode to present interesting products, but they also deduce from it how much you will pay. One way to manage this contradiction is to tolerate "small" information flows providing the risks involved can be accurately gauged. This project will build on recent advances in information measuring to develop new techniques for measuring the extent to which computer systems can defend against threats to privacy. Success in this project will lead to completely novel methods for security analysis of on-line applications where privacy is a critical issue.Read moreRead less
Novel dissimilarity techniques for characterising noisy spatial networks. This project will invent new and widely applicable ways of summarising fundamental characteristics of noisy spatial networks that change slightly in space or time. The techniques developed will be applied to solve important problems in two diverse applications - predicting disease spread in wildlife and protecting human biometric information.