ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this ....ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this Centre is to create innovative mathematical and statistical models that can uncover the knowledge concealed within the size and complexity of these big data sets, with a focus on using the models to deliver insight into problems vital to the Centre's Collaborative Domains: Healthy People, Sustainable Environments and Prosperous Societies.Read moreRead less
Random network models with applications in biology. Complex biological systems consist of a large number of interacting agents or components, and so can be studied using mathematical random network models. We aim to gain deeper insights into the laws emerging as the random networks evolve in time. This can help us to deal with dangerous disease epidemics and better understand the human brain.
Modelling dynamics in spatial ecology. This project addresses how birth, death and movement drive patterns of plants and animals in space and time. We aim to apply and extend dynamical statistical models grounded in theory. Dynamical models are needed for us to understand how species and ecological communities respond to environmental change and disturbance including bushfires, climate change and extremes and species invasion. Using data from forest plots and animal movement, we aim to understan ....Modelling dynamics in spatial ecology. This project addresses how birth, death and movement drive patterns of plants and animals in space and time. We aim to apply and extend dynamical statistical models grounded in theory. Dynamical models are needed for us to understand how species and ecological communities respond to environmental change and disturbance including bushfires, climate change and extremes and species invasion. Using data from forest plots and animal movement, we aim to understand influences on individuals and species, and how to use that to generate robust predictions. The project is expected to produce statistical models and software for use by ecologists. This should help predict, and manage, ecological impacts of environmental change and disturbances.Read moreRead less
Stochastic modelling of genetic regulatory networks with burst process. This project will develop the next generation of stochastic modelling to study the fundamental principles of genetic regulation. Simulations will yield deeper insight into the origin of bistability and oscillation in gene networks.
Overseeing the internet: new paradigms of network measurement. Like the electricity network, the internet is a core infrastructure, and so must be reliable and efficient. A gap in bandwidth supply is like a blackout in terms of lost business and productivity. This project will provide the measurement breakthroughs to ensure that network behaviour can be accurately and comprehensively monitored.
A stochastic geometric framework for Bayesian sensor array processing. This project develops a mathematical framework, and a new generation of techniques, for sensor array processing to address real-world problems with uncertainty in array parameters and number of signals. The outcomes will enhance the capability of sensors in many application areas including, radar, sonar, astronomy and wireless communications.
Random Discrete Structures: Approximations and Applications. The behaviour of many real world systems can be modelled by random discrete structures evolving over time. For example, the sizes of populations of frogs in some close patches of forests can be modelled as interacting random processes. The aim of the project is to investigate large discrete random structures that arise from real world application in areas such as biology, complex networks and insurance. The proposed project is at the i ....Random Discrete Structures: Approximations and Applications. The behaviour of many real world systems can be modelled by random discrete structures evolving over time. For example, the sizes of populations of frogs in some close patches of forests can be modelled as interacting random processes. The aim of the project is to investigate large discrete random structures that arise from real world application in areas such as biology, complex networks and insurance. The proposed project is at the interface of mathematics and 'big data' applications and so the work of the project aims to provide theoretical and heuristic underpinnings useful in the algorithms and techniques of practitioners. Understanding the applications in the project requires new, broadly applicable methods and developing such is a complementary aim.Read moreRead less
Simulation of exponentially complex quantum technologies. This project aims to develop computational tools to study exponentially complex many-body systems, and use them to model novel quantum technologies. Physics has a deep and broad impact on our modern lives, via computing, the internet, mobile telephones, GPS, space travel and medical technologies. This project will demonstrate the potential of quantum devices, with significance and impact both inside and outside physics. The project will s ....Simulation of exponentially complex quantum technologies. This project aims to develop computational tools to study exponentially complex many-body systems, and use them to model novel quantum technologies. Physics has a deep and broad impact on our modern lives, via computing, the internet, mobile telephones, GPS, space travel and medical technologies. This project will demonstrate the potential of quantum devices, with significance and impact both inside and outside physics. The project will simulate quantum systems ranging from quantum circuits for early universe simulation to boson sampling devices using Bose-Einstein condensates and plasmonic systems. Through modelling recent advances, and proposing robust, ultra-sensitive interferometers as one application, the project expects to enhance capability and understanding of quantum science.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL130100039
Funder
Australian Research Council
Funding Amount
$2,750,000.00
Summary
New stochastic models for Science, Economics, Social Science and Engineering. Stochastic, or random, phenomena abound in society. This project will combine advancement of the theory of stochastic models at a deep level with application to problems arising in science, economics, social science and engineering, and outreach to educate members of the public about random processes of significance in their lives.
Discovery Early Career Researcher Award - Grant ID: DE180100463
Funder
Australian Research Council
Funding Amount
$341,248.00
Summary
Understanding randomness in networks. This project aims to bring the latest techniques in modelling phone and wireless networks to Australia by developing new methods and models. Increasing demands of internet data in mobile phone networks has forced researchers to adopt new mathematical approaches. One of these is stochastic geometry, a useful combination of probability and geometry, which in recent years has been used by researchers overseas to model phone and other wireless networks. A key p ....Understanding randomness in networks. This project aims to bring the latest techniques in modelling phone and wireless networks to Australia by developing new methods and models. Increasing demands of internet data in mobile phone networks has forced researchers to adopt new mathematical approaches. One of these is stochastic geometry, a useful combination of probability and geometry, which in recent years has been used by researchers overseas to model phone and other wireless networks. A key point is extending the current, mostly static models, by using methods from queueing theory, resulting in dynamic network models. Another is using theoretical techniques such as large deviations theory that have seen little use in this field, and applying them to network problems. Results from the project will help implement and optimize current network technologies, as well as design future technologies.Read moreRead less