Joint System Identification for Point Processes and Time-series. In various application areas such as neurophysiology, earthquake modeling, price spikes in electricity markets, the data of interest are point processes (aka sequences of events) or combinations of point processes and analog signals. To understand the underlying subject of interest we need to be able to extract the maximum information from these observation sequences. The current tools for doing this are very limited. This resear ....Joint System Identification for Point Processes and Time-series. In various application areas such as neurophysiology, earthquake modeling, price spikes in electricity markets, the data of interest are point processes (aka sequences of events) or combinations of point processes and analog signals. To understand the underlying subject of interest we need to be able to extract the maximum information from these observation sequences. The current tools for doing this are very limited. This research program will develop the complex signal processing and system methodology needed to create a suitable tool set.Read moreRead less
Efficient Algorithms for Multiple Object Filtering using Stochastic Geometry. The outcomes of this project will enhance our ability to harness advances in sensing and computing technologies and develop automated systems which facilitate rapid and reliable detection and monitoring of potential threats in our air, sea, and land space. Such systems assist our defence personnel in the event of a threat to implement measured and effective responses, and ultimately enhance Australia's operational adva ....Efficient Algorithms for Multiple Object Filtering using Stochastic Geometry. The outcomes of this project will enhance our ability to harness advances in sensing and computing technologies and develop automated systems which facilitate rapid and reliable detection and monitoring of potential threats in our air, sea, and land space. Such systems assist our defence personnel in the event of a threat to implement measured and effective responses, and ultimately enhance Australia's operational advantage, in line with the national research priority of 'Safeguarding Australia' and its associated priority goals. The developed technologies also have significant commercial potential which benefit Australian industries in areas such as robotics, automotive safety and biomedical engineering.Read moreRead less
A Bayesian framework for frequency domain identification. The national and social benefits of the project will be reflected
through the application recognition of the research work in the various industry and research community; and also through our international collaboration. The national and social benefits are also delivered by producing specialized researchers and engineers in systems and control engineering. These people include the research students who will participate in and learn f ....A Bayesian framework for frequency domain identification. The national and social benefits of the project will be reflected
through the application recognition of the research work in the various industry and research community; and also through our international collaboration. The national and social benefits are also delivered by producing specialized researchers and engineers in systems and control engineering. These people include the research students who will participate in and learn from the proposed project.Read moreRead less
Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowle ....Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes should lead to prediction and treatment of congenital disorders and contribute to a healthy start to life.Read moreRead less
Performance evaluation and characterisation for filtering in multi-object system. The project falls within the National Research Priority of 'Safeguarding Australia' and associated research priority goal of 'Transforming Defence Technology'. The project outcomes will provide cutting edge technology in surveillance, and monitoring of potential threat in our air, sea, and land space. Fast, reliable information enable our personnel to make timely, intelligent judgements, and appropriate responses i ....Performance evaluation and characterisation for filtering in multi-object system. The project falls within the National Research Priority of 'Safeguarding Australia' and associated research priority goal of 'Transforming Defence Technology'. The project outcomes will provide cutting edge technology in surveillance, and monitoring of potential threat in our air, sea, and land space. Fast, reliable information enable our personnel to make timely, intelligent judgements, and appropriate responses in the event of a threat, thereby maintaining Australia's operational advantage. Other application areas that benefits from our research include radar, sonar, guidance, navigation, air traffic control, image processing, oceanography, autonomous vehicles and robotics, remote sensing, and biomedical research.
Read moreRead less
Using Mathematics to Maximize the Value of Open-Pit Mines. Mineral resources are one of Australia's greatest assets. Their effective management will bring substantial long-term benefits to the Australian economy. Planning the exploitation of a mineral resource is a highly complex task. Current methods are approximate, and do not fully consider two critical issues: (1) ore mined at different times must be blended to achieve saleable product and (2) resource markets may not evolve as predicted ....Using Mathematics to Maximize the Value of Open-Pit Mines. Mineral resources are one of Australia's greatest assets. Their effective management will bring substantial long-term benefits to the Australian economy. Planning the exploitation of a mineral resource is a highly complex task. Current methods are approximate, and do not fully consider two critical issues: (1) ore mined at different times must be blended to achieve saleable product and (2) resource markets may not evolve as predicted. In this project we shall develop creative mathematical solutions to maximise the expected net present value of mines with far greater accuracy, taking into account blending and the uncertain nature of future demand.Read moreRead less
Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug r ....Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug resistant infections make this a timely and important study with significant policy implications, both externally and in the Australian context. Read moreRead less
Dynamic risk measures. Exposure to risk is a pervasive problem. The results will be of importance for financial institutions when they estimate their exposure to risk. Other applications will be to determine the level of risk from a terrorist attack or regional instability. Companies wish to allocate resources to minimize their exposure to adverse events.
A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavo ....A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavoidable negative outcomes, by flexibly adjusting the mining operation to prevailing geological and economic conditions. Australia's mineral exports are worth over $50b annually to the Australian economy. Our techniques will better manage Australia's mining projects and capture new, emerging markets, significantly impacting on Australia's balance of trade.Read moreRead less
Optimal Control of Stochastic Partial Differential Equations. The problem to control a stochastic process so as to minimize a certain cost functional arises in many areas of Applied Sciences, Engineering and Mathematical Finance. An important practical question is to find, for a given cost functional, the optimizing control in a feedback form. We propose new tools to construct such optimal controls for a class of stochastic processes which are solutions to stochastic partial differential equati ....Optimal Control of Stochastic Partial Differential Equations. The problem to control a stochastic process so as to minimize a certain cost functional arises in many areas of Applied Sciences, Engineering and Mathematical Finance. An important practical question is to find, for a given cost functional, the optimizing control in a feedback form. We propose new tools to construct such optimal controls for a class of stochastic processes which are solutions to stochastic partial differential equations. As an outcome of this project we will obtain methods to determine the optimal control policies for a large variety of cost functionals and degenerated stochastic partial differential equations, in particular those arising in modelling of volatility in Finance.Read moreRead less