Algorithms for geometric Turán-type problems and network visualization. Recent technological advances have large data sets, in a data deluge. Some of the most critical data sets are networks; examples abound in Systems Biology, Social Network Analysis, and Software Engineering. This project aims for algorithms to construct readable pictures of these networks, and thus make the data easier for humans to understand.
Scalable Visual Analytics for Uncertain Dynamic Networks. Technological advances have provided a data deluge over the past few years, and have led to many large uncertain and dynamic network models. This includes terrorist networks, marketing networks, facebook networks, various biological networks, and software engineering structures. Human understanding of such networks is difficult. This project aims to provide new methods for visual analysis of large uncertain dynamic networks such as these. ....Scalable Visual Analytics for Uncertain Dynamic Networks. Technological advances have provided a data deluge over the past few years, and have led to many large uncertain and dynamic network models. This includes terrorist networks, marketing networks, facebook networks, various biological networks, and software engineering structures. Human understanding of such networks is difficult. This project aims to provide new methods for visual analysis of large uncertain dynamic networks such as these. The algorithms developed in the project will help security analysts to monitor illegal behaviour such as money laundering and terrorist activities, help biologists understand key biological systems, and help engineers to understand large software systems.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.
A formal foundation for security architecture. Security of computer systems is essential for the maintenance of privacy, confidentiality and integrity of personal, commercial and government data, and the trustworthiness of the computational devices that are embedded in critical societal infrastructure. However, current theoretical understanding of secure systems development is poor. The project will develop our understanding of an emerging approach to the design of secure systems and develop ver ....A formal foundation for security architecture. Security of computer systems is essential for the maintenance of privacy, confidentiality and integrity of personal, commercial and government data, and the trustworthiness of the computational devices that are embedded in critical societal infrastructure. However, current theoretical understanding of secure systems development is poor. The project will develop our understanding of an emerging approach to the design of secure systems and develop verification methods that may be applied to guarantee systems security. Its outcomes will contribute to processes for certifying systems at very high levels of security, a requirement in defence and government settings that will become increasingly significant in the commercial sector.Read moreRead less
Formal Verification of Quantum Logic Circuits. The project aims to develop comprehensive theory and effective techniques for formal modelling, equivalence checking, and model checking of quantum circuits. The research is timely as the rapid growth of quantum computing hardware makes it an urgent task to develop verification techniques for quantum hardware design and quantum compilers. The successful development of the algorithms and software tools proposed in this project will significantly adva ....Formal Verification of Quantum Logic Circuits. The project aims to develop comprehensive theory and effective techniques for formal modelling, equivalence checking, and model checking of quantum circuits. The research is timely as the rapid growth of quantum computing hardware makes it an urgent task to develop verification techniques for quantum hardware design and quantum compilers. The successful development of the algorithms and software tools proposed in this project will significantly advance the knowledge on formal verification of quantum circuits and help Australian quantum start-ups build and maintain an internationally leading position in the rapidly emerging quantum electronic design automation (EDA) industry.Read moreRead less
Coupling Techniques for Reasoning about Quantum Programs. Quantum software is indispensable for unleashing the super-power of quantum computing. This project aims to develop, for the first time, effective techniques for reasoning about the equivalence of quantum programs, with applications for verifying quantum compilers and quantum cryptographic protocols. The successful development of the outcomes and tools proposed in this project will significantly advance the knowledge on logical and mathem ....Coupling Techniques for Reasoning about Quantum Programs. Quantum software is indispensable for unleashing the super-power of quantum computing. This project aims to develop, for the first time, effective techniques for reasoning about the equivalence of quantum programs, with applications for verifying quantum compilers and quantum cryptographic protocols. The successful development of the outcomes and tools proposed in this project will significantly advance the knowledge on logical and mathematical foundations of quantum programming theory and thereby help Australian industries to build frontier technologies for quantum software engineering – in particular for quantum compilers – as well as establish and preserve their competitive status in the quantum computing era.Read moreRead less
Algorithmics for Interactive 2.5D Graph Drawing. Technological advances have provided a data deluge over the past few years, and consequently have led to many large and complex network models in many domains. This includes terrorrist networks and biological networks, software engineering structures, and webgraphs. Visualisation is an effective tool in helping humans to understand such networks. This project aims to provide a new direction in network visualisation, using 2.5 dimensions. The algor ....Algorithmics for Interactive 2.5D Graph Drawing. Technological advances have provided a data deluge over the past few years, and consequently have led to many large and complex network models in many domains. This includes terrorrist networks and biological networks, software engineering structures, and webgraphs. Visualisation is an effective tool in helping humans to understand such networks. This project aims to provide a new direction in network visualisation, using 2.5 dimensions. The algorithms developed in the project will help security analysts to detect abnormal behavious such as money laundering, help biologists understand protein-protein interaction networks, and help engineers to understand large software systems.Read moreRead less
Approximate proximity for applications in data mining and visualization. Data Mining, pattern recognition and visualization of relational information are all important data analysis techniques in which it is essential to determine which data points are in the vicinity of others. The huge size of the data sets involved and the need for real-time interaction preclude the use of conventional methods for the precise computation of the proximity information required. This project will develop efficie ....Approximate proximity for applications in data mining and visualization. Data Mining, pattern recognition and visualization of relational information are all important data analysis techniques in which it is essential to determine which data points are in the vicinity of others. The huge size of the data sets involved and the need for real-time interaction preclude the use of conventional methods for the precise computation of the proximity information required. This project will develop efficient algorithms and data structures for gathering high-quality approximations of the full proximity information, and will use these innovations as the basis for new, practical tools for visualization, and clustering in data mining.Read moreRead less
Lattices as a constructive and destructive cryptographic tool. The project is driven by the great number of potential applications of deep mathematical and algorithmic methods to different areas of modern cryptography. These areas provide a solid platform for more applied fields such as Computer and Information Security and E-commerce. It will lead to commercialisation and everyday-life improvements.
Foundations of Executable Temporal Logic. In many computer applications, including those of temporal reasoning, distributed computations and knowledge representations, the concept of time is of central importance. Multiple granularity of time also plays a critical role as not all events are necessarily defined over a uniform model of time. This project will develop the foundations of executable logical representations, supporting multiple granularity of time. This will allow system developers a ....Foundations of Executable Temporal Logic. In many computer applications, including those of temporal reasoning, distributed computations and knowledge representations, the concept of time is of central importance. Multiple granularity of time also plays a critical role as not all events are necessarily defined over a uniform model of time. This project will develop the foundations of executable logical representations, supporting multiple granularity of time. This will allow system developers access to powerful logical techniques in those applications. In the process, fundamental problems in modelling multiple granularity of time will be identified, and application-independent solutions to those problems will be provided.Read moreRead less