High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with i ....High dimensional problems of integration and approximation. In many applications, notably financial mathematics, problems of
integration and approximation of functions in very high dimensions
are of great interest. By finding modern mathematical solutions to
these problems, we will therefore contribute to Australia's future
success in developing innovative technologies for industrial and
economic applications. By researching at an internationally
competitive level and by cooperating with international experts, we
will have a share in further strengthening the excellent role of
Australian research institutions within the international scientific
community in mathematics and scientific computing.Read moreRead less
Visual interaction methods for clustered graphs. This project aims to improve human understanding of huge network data sets, such as those arising in social networks, biological networks, and very large software structures. The project will enable analysts to explore and interact with such data sets, leading to better understanding.
Compilation Techniques for Embedded Systems. Highly optimising compiler tools are becoming an important part of the software development process for embedded systems. This project will provide Australia with core technology in the area of tools for embedded systems. It will allow safer embedded systems in mission-critical applications. In addition, the Australian Industry will benefit from a substantially growing embedded systems market where tools are a pre-requisite for a cost-aware and safe s ....Compilation Techniques for Embedded Systems. Highly optimising compiler tools are becoming an important part of the software development process for embedded systems. This project will provide Australia with core technology in the area of tools for embedded systems. It will allow safer embedded systems in mission-critical applications. In addition, the Australian Industry will benefit from a substantially growing embedded systems market where tools are a pre-requisite for a cost-aware and safe software development. The industry interested in embedded system tools are: Telecom/Datacom, Consumer Electronics, Industrial Automation, Retail Automation, Office Automation, Military/Aerospace, Automotive, Information Automation, Medical Devices.Read moreRead less
Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient al ....Multivariate Algorithmics: Meeting the Challenge of Real World computational complexity. This Project will result in better methods for designing the algorithms that all computer applications depend on. Algorithms are the instruction sets that tell computers how to process information. Some information processing tasks are intrinsically difficult, even for computers working at enormous speeds. This Project will deliver new mathematical approaches to overcome these difficulties. More efficient algorithmic approaches for difficult problems enable advances in all areas of computer applications such as medical diagnosis and health prediction, national security, communications efficiency, industrial productivity and all fields of science and engineering.Read moreRead less
Local reoptimization for turbocharging heuristics. Theoretical computer science has up until now had little impact on the design of effective heuristics. While data sets may be large, significant structure is almost always present and important to take into account when designing algorithms. Parameterised complexity considers the underlying structure by parameterising not only on the size of the input but also on structural parameters. This project aims to take advantage of the many opportunitie ....Local reoptimization for turbocharging heuristics. Theoretical computer science has up until now had little impact on the design of effective heuristics. While data sets may be large, significant structure is almost always present and important to take into account when designing algorithms. Parameterised complexity considers the underlying structure by parameterising not only on the size of the input but also on structural parameters. This project aims to take advantage of the many opportunities for new theories in the design of new heuristics and in turbocharging existing heuristics for computationally hard problems.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE130101664
Funder
Australian Research Council
Funding Amount
$357,084.00
Summary
Universal solution for scheduling problems. The aim of this project is to design efficient algorithms that compute universal solutions for scheduling on an unreliable machine. Such solutions are specially suitable for situations where machines can behave unpredictably, such as scheduling in cloud computing.
Algorithmics for visual analytics of massive complex networks. The project will provide new scalable algorithms for visual analytics of massive complex networks. These fast algorithms will enable security analysts to detect abnormal behaviours such as money laundering, biologists to understand protein-protein interaction networks, and support software engineers new ways of understanding large software systems.
Algorithmic and computational advances in geometric group theory. This project aims to combine new algorithmic ideas, high performance computing and experimental mathematics to answer many outstanding questions in the field of geometric group theory. This project will put Australia at the forefront of new computer-assisted research, and give new insights into complex mathematical problems.
Algebraic Methods in Design and Analysis of Stream Ciphers. The project investigates the problem of communication security in the mobile environment where both confidentiality and authenticity are of prime concern. Stream ciphers are a very natural choice in mobile environment as they provide an efficient cryptographic protection using a limited computing resources. We model stream cipher as a system of multivariate equations. In this approach, security of stream ciphers can be measured as the c ....Algebraic Methods in Design and Analysis of Stream Ciphers. The project investigates the problem of communication security in the mobile environment where both confidentiality and authenticity are of prime concern. Stream ciphers are a very natural choice in mobile environment as they provide an efficient cryptographic protection using a limited computing resources. We model stream cipher as a system of multivariate equations. In this approach, security of stream ciphers can be measured as the complexity of an algorithm that solves the appropriate system of equations. This project leads to new techniques for the design and analysis of stream ciphers.Read moreRead less
Algebraic Models of Stream Ciphers. The project investigates communication security in the mobile environment where both confidentiality and authenticity are of a prime concern. Stream ciphers are a natural choice in mobile environments as they provide an efficient cryptographic protection using a limited computing resources. We treat stream ciphers as algebraic objects whose properties fully determine their cryptographic strength. We first analyse existing stream ciphers showing their algebraic ....Algebraic Models of Stream Ciphers. The project investigates communication security in the mobile environment where both confidentiality and authenticity are of a prime concern. Stream ciphers are a natural choice in mobile environments as they provide an efficient cryptographic protection using a limited computing resources. We treat stream ciphers as algebraic objects whose properties fully determine their cryptographic strength. We first analyse existing stream ciphers showing their algebraic properties and later we derive a design methodology for provably secure stream ciphers. The project leads to new secure and efficient designs for stream ciphers that are the preferred cryptographic tools used in Australian industry.Read moreRead less