Using Advances in Bayesian Statistics to Estimate Australian Rainfall Variations in a Climate Change World. Modelling changes to rainfall patterns answers many important questions about changes in Australia's climate. This is essential to protecting our biodiversity and ensuring Australia's environmental sustainability. The project will address such issues as the extent to which the entire distribution of daily rainfall has changed over time, which areas of Australia have been most affected by t ....Using Advances in Bayesian Statistics to Estimate Australian Rainfall Variations in a Climate Change World. Modelling changes to rainfall patterns answers many important questions about changes in Australia's climate. This is essential to protecting our biodiversity and ensuring Australia's environmental sustainability. The project will address such issues as the extent to which the entire distribution of daily rainfall has changed over time, which areas of Australia have been most affected by this change and to what extent are these changes related to global climate indices. The latest advances in Bayesian statistics will be used to introduce flexibility and complexity into the model.Read moreRead less
Bayesian estimation of flexible spatial models with applications in medical imaging and econometric modeling. This project aims to develop statistical methodology for estimating flexible highly parameterised Bayesian spatial models. The flexible models examined will include regression, choice and time series models for data that is spatially registered. Spatial smoothing of parameters in the models will involve application of hierarchical spatial prior distributions. The resulting methodology wi ....Bayesian estimation of flexible spatial models with applications in medical imaging and econometric modeling. This project aims to develop statistical methodology for estimating flexible highly parameterised Bayesian spatial models. The flexible models examined will include regression, choice and time series models for data that is spatially registered. Spatial smoothing of parameters in the models will involve application of hierarchical spatial prior distributions. The resulting methodology will be applied to the analysis of medical imaging data and to the estimation of spatial econometric models of residential real estate prices. The expected outcomes include developments in the frontier framework of Bayesian computational estimation methodology, improved methods for medical image processing and estimation of high resolution spatial models of residential real estate prices in Australian metropolitan centres.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
Industrial Transformation Training Centres - Grant ID: IC190100031
Funder
Australian Research Council
Funding Amount
$3,973,202.00
Summary
ARC Training Centre in Data Analytics for Resources and Environments (DARE). Understanding the cumulative impact of actions regarding the use of our resources has important long-term consequences for Australia’s economic, societal and environmental health. Yet despite the importance of these cumulative impacts, and the availability of data, many decisions and policies are based on limited amounts of data and rudimentary data analysis, with little appreciation of the critical role that understand ....ARC Training Centre in Data Analytics for Resources and Environments (DARE). Understanding the cumulative impact of actions regarding the use of our resources has important long-term consequences for Australia’s economic, societal and environmental health. Yet despite the importance of these cumulative impacts, and the availability of data, many decisions and policies are based on limited amounts of data and rudimentary data analysis, with little appreciation of the critical role that understanding and quantifying uncertainty plays in the process. The aim of Data Analytics in Resources and Environment (DARE) is to develop and deliver the data science skills and tools for Australia’s resource industries to make the best possible evidence-based decisions in exploiting and stewarding the nation’s natural resources.Read moreRead less
Modelling claim dependencies for the general insurance industry with economic capital in view: an innovative approach with stochastic processes. This project will develop and enhance multi-dimensional models used to describe and assess the risks borne by general insurers. These innovative methods, which will be directly applicable by the industry, will strengthen the efficiency and the safety of the Australian economy.
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
Predicting the effect of climate change on community structure and function: an assessment using temperate grassland invertebrates. This research will set the future agenda for assessing community responses to climate change worldwide. Our findings will be a robust template for future research to incorporate sophisticated multi-species assessments across all taxa and biomes. Results and conclusions from this research will aid graziers, agronomists, government agencies and conservation groups wor ....Predicting the effect of climate change on community structure and function: an assessment using temperate grassland invertebrates. This research will set the future agenda for assessing community responses to climate change worldwide. Our findings will be a robust template for future research to incorporate sophisticated multi-species assessments across all taxa and biomes. Results and conclusions from this research will aid graziers, agronomists, government agencies and conservation groups working in urban, rural and regional landscapes to prepare for changes in species relationships over the coming century. The team of early career researchers will also prepare the next generation of scientists for cutting edge ecological and statistical research within a dynamic and multidisciplinary context.Read moreRead less
Fatigue Life Prediction of Nano-filler Modified Composites. The proposed project aims to study the behaviour and the failure mechanisms of polymer nanocomposites under cyclic loading. The outcomes of the project will make original contributions to our knowledge base on such materials. The mechanics modelling and statistical analysis of the prediction of fatigue life will provide a sound physical basis and a useful tool for any future improvement and optimisation of the composites to achieve bett ....Fatigue Life Prediction of Nano-filler Modified Composites. The proposed project aims to study the behaviour and the failure mechanisms of polymer nanocomposites under cyclic loading. The outcomes of the project will make original contributions to our knowledge base on such materials. The mechanics modelling and statistical analysis of the prediction of fatigue life will provide a sound physical basis and a useful tool for any future improvement and optimisation of the composites to achieve better reliability and integrity in their intended applications. This study will bring economic benefits to the end-users of advanced material technology including the Australian materials industries. Read moreRead less
Empirical and computational solutions for multi-omics single-cell assays. Emerging single-cell sequencing technologies are transforming molecular cell biology, but identifying novel cell types and their functions requires the integration of highly heterogeneous data. The development of computational methods able to extract biologically relevant results is hindered by the lack of high-quality datasets. This project aims to develop novel sequencing methodologies and generate data to drive our dime ....Empirical and computational solutions for multi-omics single-cell assays. Emerging single-cell sequencing technologies are transforming molecular cell biology, but identifying novel cell types and their functions requires the integration of highly heterogeneous data. The development of computational methods able to extract biologically relevant results is hindered by the lack of high-quality datasets. This project aims to develop novel sequencing methodologies and generate data to drive our dimension reduction multivariate method developments for data integration. By combining in silico and in vivo approaches, the project is anticipated to benefit scientists willing to work in cutting-edge single-cell research by providing useful protocols and tools to generate novel insights in cell biology. Read moreRead less
Optimising experimental design for robust product development: a case study for high-efficiency energy generation. This project tackles key mathematical challenges to provide a powerful new methodology and tool for optimal product design, making smarter use of limited information, minimising costly trials, shortening the product cycle, and boosting the competitiveness of both the Australian manufacturing and alternative energy production industries.