Classification methods for providing personalised and class decisions. This project provides a novel approach to the clustering of multivariate samples on entities in a class that automatically matches the sample clusters across the entities, allowing for inter-sample variation between the samples in a class. The project aims to develop a widely applicable, mixture-model-based framework for the simultaneous clustering of multivariate samples with inter-sample variation in a class and for the mat ....Classification methods for providing personalised and class decisions. This project provides a novel approach to the clustering of multivariate samples on entities in a class that automatically matches the sample clusters across the entities, allowing for inter-sample variation between the samples in a class. The project aims to develop a widely applicable, mixture-model-based framework for the simultaneous clustering of multivariate samples with inter-sample variation in a class and for the matching of the clusters across the entities in the class. The project will use a statistical approach to automatically match the clusters, since the overall mixture model provides a template for the class. It will provide a basis for discriminating between different classes in addition to the identification of atypical data points within a sample and of anomalous samples within a class. Key applications include biological image analysis and the analysis of data in flow cytometry which is one of the fundamental research tools for the life scientist.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE160101565
Funder
Australian Research Council
Funding Amount
$330,000.00
Summary
Flexible data modelling via skew mixture models:challenges and applications. This project seeks to explore new models for handling data with non-normal features. Parametric distributions are fundamental to statistical modelling and inference. For centuries, the ‘normal’ distribution has been the dominant model for continuous data. However, real data rarely satisfy the assumption of normality. There is thus a strong demand for more flexible distributions. This project aims to develop new methodol ....Flexible data modelling via skew mixture models:challenges and applications. This project seeks to explore new models for handling data with non-normal features. Parametric distributions are fundamental to statistical modelling and inference. For centuries, the ‘normal’ distribution has been the dominant model for continuous data. However, real data rarely satisfy the assumption of normality. There is thus a strong demand for more flexible distributions. This project aims to develop new methodologies in finite mixture modelling using skew component distributions to provide better models for handling data with non-normal features (such as skewness, heavy/light tails, and multimodality). Applications may include security intrusion detection, clinical diagnosis and prognosis, and flow and mass cytometry.Read moreRead less
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
Discovery Early Career Researcher Award - Grant ID: DE160100213
Funder
Australian Research Council
Funding Amount
$335,000.00
Summary
Optimising the National Benefits From Restoring Environmental Water Flows. The project plans to evaluate strategies that may maximise the national benefits from restoring environmental flows in Australia’s Murray–Darling Basin (MDB). MDB water supply is characterised by prolonged droughts and flood events, and future climatic projections anticipate that these water supply events will intensify. As the uncertainty of future water supply increases, it is important that the volume of water provided ....Optimising the National Benefits From Restoring Environmental Water Flows. The project plans to evaluate strategies that may maximise the national benefits from restoring environmental flows in Australia’s Murray–Darling Basin (MDB). MDB water supply is characterised by prolonged droughts and flood events, and future climatic projections anticipate that these water supply events will intensify. As the uncertainty of future water supply increases, it is important that the volume of water provided by the portfolio of water rights is known. By examining how decision-makers adapt to water supply uncertainty, optimal management strategies could be determined for watering key ecological assets, trading water between irrigators and the government; and private and public investments.Read moreRead less
Economic complexity as a driver of innovation and smart specialisation. This project aims to determine how economic complexity can drive innovation and smart specialisation and how industry can be supported to transition to a more competitive economy. With the downturn of traditional manufacturing, innovation is crucial to create new industries and the jobs of the future. The expected outcomes of this project include high-value industry intelligence in support of product diversification. This sh ....Economic complexity as a driver of innovation and smart specialisation. This project aims to determine how economic complexity can drive innovation and smart specialisation and how industry can be supported to transition to a more competitive economy. With the downturn of traditional manufacturing, innovation is crucial to create new industries and the jobs of the future. The expected outcomes of this project include high-value industry intelligence in support of product diversification. This should provide significant benefits, such as increased international competitiveness, exports, revenue, and economic growth.
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Congestion recovery and optimisation of patient flows. Australian public hospitals often experience congestion due to growing demand and limited resources, resulting in disruptions in service delivery and risks in quality of care. This project will apply advanced techniques and methodologies from mathematical sciences and computer modelling to alleviate this important healthcare delivery problem.
Redesigning Landcare policy to better coordinate across landholders. This project aims to study how landscape-sensitive economic incentives and social norms can be leveraged to enhance the short- and long-term effectiveness of conservation programs. It will yield new knowledge for innovative designs in conservation contracting that is urgently needed to address worsening environmental threats in Australia and worldwide. In collaboration with Nobel laureate Vernon Smith’s team, new methods and pr ....Redesigning Landcare policy to better coordinate across landholders. This project aims to study how landscape-sensitive economic incentives and social norms can be leveraged to enhance the short- and long-term effectiveness of conservation programs. It will yield new knowledge for innovative designs in conservation contracting that is urgently needed to address worsening environmental threats in Australia and worldwide. In collaboration with Nobel laureate Vernon Smith’s team, new methods and protocols will improve our ability to generate better data and better understand how social and incentive mechanisms can constructively interact to facilitate collaborative environmental action. Results will help make the achievement of environmental targets and the use of public funds more cost-effective. Read moreRead less
Understanding, measuring and managing the benefits of urban waterways. This project aims to improve understanding of the contribution of urban waterways to enhanced liveability in cities. Australia needs better water resource management and the rapid growth of Australia’s cities places increased importance on managing natural assets in metropolitan areas. The project focuses on clarifying the link between the benefits of waterways and the measurement techniques used by economists, which in turn ....Understanding, measuring and managing the benefits of urban waterways. This project aims to improve understanding of the contribution of urban waterways to enhanced liveability in cities. Australia needs better water resource management and the rapid growth of Australia’s cities places increased importance on managing natural assets in metropolitan areas. The project focuses on clarifying the link between the benefits of waterways and the measurement techniques used by economists, which in turn inform management choices. The project aims to fill an important gap between the psychology and economics disciplines and outputs should significantly improve the way waterways are valued and managed. This is intended to offer benefits for urban residents and to improve the methodologies used for environmental valuation.Read moreRead less
The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to ....The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to be singular. This project aims to reveal the underlying mathematical structures and develop new computational algorithms to analyse a general class of perturbed systems both locally near an isolated singularity and globally. It plans to use these algorithms to solve systems of equations, calculate generalised inverse operators, examine perturbed Markov processes, and estimate exit times from meta-stable states in stochastic population dynamics.Read moreRead less
New methods for improving active adaptive management in biological systems. Understanding population dynamics is critical in many areas of national importance to Australia, such as protection of biodiversity, management of invasive species and prediction of the possible effects of climate change. This project will develop a collection of state-of-the-art methods enabling optimal ecological management.