Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM netw ....Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM networks by studying their computational complexities and devising scalable, high-quality approximation algorithms for them. The developed algorithms significantly improve the network performance and scalability, and the innovative approaches and algorithm techniques developed in this project are also applicable to other routing problems.Read moreRead less
Dynamics and Security Control of Complex Networks. The research will yield basic techniques to analyse, design and operate complex networks so that security, as well as performance, is achieved. These techniques will be further developed towards particular applications including power grids and telecommunication networks. However, the emphasis is on providing basic ideas and techniques.
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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Reliable and Seamless Service Provisioning in Mobile Edge Computing . This project aims to develop enabling technologies to provide reliable and seamless services in mobile edge computing environments. This project will develop advanced algorithms with performance guarantees and efficient mechanisms for such service provisioning. The project expects to lay theoretical foundations and generate new knowledge for the provisioning of reliability-aware and mobility-aware services in mobile edge compu ....Reliable and Seamless Service Provisioning in Mobile Edge Computing . This project aims to develop enabling technologies to provide reliable and seamless services in mobile edge computing environments. This project will develop advanced algorithms with performance guarantees and efficient mechanisms for such service provisioning. The project expects to lay theoretical foundations and generate new knowledge for the provisioning of reliability-aware and mobility-aware services in mobile edge computing. The expected outcome of the project is a set of solutions to the myriad of services relying on mobile edge computing including e-Health, autonomous vehicles, and Internet of Things. This project will develop key fundamental technologies to improve Australia’s standing in the international research community.
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Service Provisioning for the Internet of Things in Mobile Edge Computing. This project aims to develop a suite of novel algorithms and enabling technologies for service provisioning of the Internet of Things (IoT) applications in mobile edge computing (MEC). This project will develop performance-guaranteed algorithms and core technologies for IoT service provisioning through effective cost modelling. The project expects to lay theoretical foundations, discover key principles and generate new kno ....Service Provisioning for the Internet of Things in Mobile Edge Computing. This project aims to develop a suite of novel algorithms and enabling technologies for service provisioning of the Internet of Things (IoT) applications in mobile edge computing (MEC). This project will develop performance-guaranteed algorithms and core technologies for IoT service provisioning through effective cost modelling. The project expects to lay theoretical foundations, discover key principles and generate new knowledge for IoT service provisioning in MEC. The expected outcome of the project is a suite of solutions to the myriad of IoT services in MEC including e-Health and autonomous vehicles. This project should also develop key fundamental technologies to improve Australia's standing in the international research community.Read moreRead less
Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing ....Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing efficient routing algorithms for all-to-all routing and robust routing in the WDM networks. Incorporated with various known techniques, practical algorithms will be developed. The algorithms and techniques developed in this project will be through simulation, testing, and implementation.Read moreRead less
On effectively modelling and efficiently discovering communities from large networks. Finding and maintaining close communities from very large scale, dynamically changing networks is interesting and challenging. This project aims to develop new techniques to identify such communities as fast as possible through exploiting the rich semantics and individual relationships within the communities.
Non-commutative Fractal Geometry: New Invariants. This project capitilises on Australian strengths in mathematics, particularly non-commutative and fractal geometry. It will maintain and extend Australia's prominence in these subjects, providing excellent training and opportunities for young researchers. Given the wide range of applications of fractals, there is potential for future technological spin offs for Australia.
Approximate reasoning with qualitative spatial constraints involving landmarks. Applications like emergency management of bushfires, floods, or earthquake require spatial information systems to integrate multiple kinds of information and make intelligent responses in a very limited time. This project will make breakthroughs in developing efficient methods to reason about complex spatial situations.
Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. ....Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. The project will also apply diagrammatic methods to address a long-standing challenge in solving a particular model. The project aims to contribute to training researchers in an area of the mathematical sciences of benefit to the future development of new concepts for next-generation electronic devices and smart materials.Read moreRead less