Innovations in spherical approximation - construction, analysis and applications. The motivating problems for this project come from geophysics, including climate, weather forecasting, planetary gravitation and magnetism, and from coding theory and molecular chemistry. National benefit is expected to arise both from an improved ability to handle problems of key economic importance, and from an enhanced position in the international scientific world, through public presentation in leading journa ....Innovations in spherical approximation - construction, analysis and applications. The motivating problems for this project come from geophysics, including climate, weather forecasting, planetary gravitation and magnetism, and from coding theory and molecular chemistry. National benefit is expected to arise both from an improved ability to handle problems of key economic importance, and from an enhanced position in the international scientific world, through public presentation in leading journals and international conferences, and from direct collaboration with internationally leading scientists from USA, UK and Germany. The project will also increase the pool of trained mathematicians with expertise in areas important for applications.
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Discovery Early Career Researcher Award - Grant ID: DE210101344
Funder
Australian Research Council
Funding Amount
$364,981.00
Summary
Advancing genomic-driven infectious diseases modelling. Emerging infectious diseases and antimicrobial resistance are among the greatest threats to Australian health and agriculture, and current surveillance tools may fail to detect and mitigate infectious disease outbreaks in real time. This project will develop advanced phylodynamic methods (i.e., mathematical models of infectious disease transmission and pathogen evolution) to enable real-time surveillance of infectious disease outbreaks as t ....Advancing genomic-driven infectious diseases modelling. Emerging infectious diseases and antimicrobial resistance are among the greatest threats to Australian health and agriculture, and current surveillance tools may fail to detect and mitigate infectious disease outbreaks in real time. This project will develop advanced phylodynamic methods (i.e., mathematical models of infectious disease transmission and pathogen evolution) to enable real-time surveillance of infectious disease outbreaks as they emerge and monitor levels of drug resistance.Read moreRead less
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
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.
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Real-time scheduling of trains to control peak electricity demand. This project aims to develop new scheduling and control methods that will enable railways to reduce their demand for electricity during peak demand periods, without undue disruption to the timetable.
These new methods and systems will integrate with—and expand the capabilities of—an Australian train control system that is used by railways around the world. This will enable better management of electricity within a region and be ....Real-time scheduling of trains to control peak electricity demand. This project aims to develop new scheduling and control methods that will enable railways to reduce their demand for electricity during peak demand periods, without undue disruption to the timetable.
These new methods and systems will integrate with—and expand the capabilities of—an Australian train control system that is used by railways around the world. This will enable better management of electricity within a region and better use of renewable energy sources, with significant cost savings for railways and the wider community.Read moreRead less
Optimal Control of Multi-Object System. Better understanding of multi-object systems developed from this research, in particular, optimal control algorithms for multi-object systems have several significant socio-economic benefits. Application areas that benefits from our research include aerospace applications such as radar, sonar, guidance, navigation, and air traffic control and non-aerospace areas such as image processing, oceanography autonomous vehicles and robotics, remote sensing, and bi ....Optimal Control of Multi-Object System. Better understanding of multi-object systems developed from this research, in particular, optimal control algorithms for multi-object systems have several significant socio-economic benefits. Application areas that benefits from our research include aerospace applications such as radar, sonar, guidance, navigation, and air traffic control and non-aerospace areas such as image processing, oceanography autonomous vehicles and robotics, remote sensing, and biomedical research. The sensor network discipline also stand to benefit from the understanding of multi-object system and control framework. Read moreRead less
Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were ....Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were frozen, possesses certain ergodicity properties expressed in the existence of its limit occupational measures set. Conditions for the existence of such a set will be studied and its structure will be described.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
Occupational Measures Approach to Long Run Average and Singularly Perturbed Optimal Control Problems. Problems of optimal control of long-run average and singularly perturbed systems arise in many applications. The project will lead to the development of new linear programming based techniques for analyzing these problems (including problems intractable so far) and finding their numerical solutions. The new techniques will have a potential to be further developed into software that can benefit A ....Occupational Measures Approach to Long Run Average and Singularly Perturbed Optimal Control Problems. Problems of optimal control of long-run average and singularly perturbed systems arise in many applications. The project will lead to the development of new linear programming based techniques for analyzing these problems (including problems intractable so far) and finding their numerical solutions. The new techniques will have a potential to be further developed into software that can benefit Australian industries and technologies. The proposed topic is in the focus of interest of many eminent researchers around the world and the dissemination of our results will further improve Australia's standing in the international research community. Read moreRead less