Topological data analysis for enhanced modelling of the physical properties of complex micro-structured materials. The way water flows through sandstone depends on the connectivity of its pores, the balance of forces in a grain silo on the contacts between individual grains, and the impact resistance of metal foam in a car door on the arrangement of its cells. These structural properties are described mathematically by topology. Advanced three-dimensional X-ray imaging can now reveal the interna ....Topological data analysis for enhanced modelling of the physical properties of complex micro-structured materials. The way water flows through sandstone depends on the connectivity of its pores, the balance of forces in a grain silo on the contacts between individual grains, and the impact resistance of metal foam in a car door on the arrangement of its cells. These structural properties are described mathematically by topology. Advanced three-dimensional X-ray imaging can now reveal the internal detail of micro-structured materials. Recent developments in image analysis mean it is possible to compute accurate topological information from such images. This project aims to investigate how fundamental measures of shape influence the physical properties of complex materials and clarifies the mathematics that underpins these relationships.Read moreRead less
Towards the prime power conjecture. This project attacks a famous and long standing conjecture in pure mathematics that has important ramifications in many applied areas. The project aims to determine when it is possible to produce more efficient codes for electronic communication and statistically balanced designs for experiments in areas as diverse as agriculture and psychology.
Evolution and functional impact of gene silencing by hairpin derived RNAs. This project aims to study RNA-mediated gene silencing in genome evolution. RNA interference (RNAi) has been widely used as an experimental tool since its Nobel Prize-winning discovery in 1998, but little is known about endogenous RNAi or its evolution. This project uses bioinformatics, high-throughput sequencing and molecular approaches to study hpRNAs, a class of small interfering RNAs, their adaptive evolution across f ....Evolution and functional impact of gene silencing by hairpin derived RNAs. This project aims to study RNA-mediated gene silencing in genome evolution. RNA interference (RNAi) has been widely used as an experimental tool since its Nobel Prize-winning discovery in 1998, but little is known about endogenous RNAi or its evolution. This project uses bioinformatics, high-throughput sequencing and molecular approaches to study hpRNAs, a class of small interfering RNAs, their adaptive evolution across fly species and vertebrates, and their functional effect on testis morphogenesis and distortion of female/male sex-ratio. The project also studies splicing-dependent small RNAs and miRNA-target interaction. This research could have applications from animal development to human pathology.Read moreRead less
Computational Mechanisms of Online Attention Markets. The internet has operated as an major exchange of information and attention for the past few decades, yet surprisingly little is known about how individual choices and collective attention interact, let alone about how different parties can influence or control it. This project aims to uncover the mathematical underpinnings between individual actions and collective trends in online attention market, design computational methods for estimating ....Computational Mechanisms of Online Attention Markets. The internet has operated as an major exchange of information and attention for the past few decades, yet surprisingly little is known about how individual choices and collective attention interact, let alone about how different parties can influence or control it. This project aims to uncover the mathematical underpinnings between individual actions and collective trends in online attention market, design computational methods for estimating and influencing attention allocation, and enable applications where content consumers, producers, hosting platforms and regulatory bodies are each empowered with their share of influence in the attention market.Read moreRead less
Modelling, Identification and Control of Complex Networks. Australia has been well known for its leading research in systems and control and many real-world applications in, for instance, telecommunications, defence, power grids and life sciences. This project will further promote Australia's leading position in the emerging new research field - complex networks by theoretical breakthrough in modelling, identification and control of complex networks, and cutting-edge platform technology that can ....Modelling, Identification and Control of Complex Networks. Australia has been well known for its leading research in systems and control and many real-world applications in, for instance, telecommunications, defence, power grids and life sciences. This project will further promote Australia's leading position in the emerging new research field - complex networks by theoretical breakthrough in modelling, identification and control of complex networks, and cutting-edge platform technology that can help Australian energy industry to reduce greenhouse emissions. It will also result in education of the next generation research leaders in this emerging field.Read moreRead less
Regularisation methods of inverse problems: theory and computation. This project aims to investigate regularisation methods for inverse problems which are ill-posed in the sense that their solutions depend discontinuously on the data. When only noisy data is available, regularisation methods define stable approximate solutions by replacing the original inverse problem with a family of well-posed neighbouring problems monitored by a so-called regularisation parameter. The project expects to devel ....Regularisation methods of inverse problems: theory and computation. This project aims to investigate regularisation methods for inverse problems which are ill-posed in the sense that their solutions depend discontinuously on the data. When only noisy data is available, regularisation methods define stable approximate solutions by replacing the original inverse problem with a family of well-posed neighbouring problems monitored by a so-called regularisation parameter. The project expects to develop purely data-driven rules to choose the regularisation parameter and show how they work in theory, and in practice. It will also develop convex framework, acceleration strategies as well as preconditioning and splitting ideas to design efficient regularisation solvers.Read moreRead less
Development of methods and algorithms to support multidisciplinary optimisation. This project will aim to develop a number of novel and computationally efficient schemes to deal with the key challenges facing multidisciplinary optimisation. These advancements will allow us to solve a number of challenging and intractable problems in science and engineering.
From plume source to hotspot: quantifying mixing in mantle plumes and its implications for the nature of deep-mantle heterogeneity. Mantle plumes are buoyant upwellings that bring hot material from Earth's deep-mantle to the surface, forming volcanic hotspots, like Hawaii. Although extensively studied, the geochemical variations recorded in hotspot lavas have, so far, proved difficult to understand, particularly how they relate to their heterogeneous deep-mantle source. This project aims to use ....From plume source to hotspot: quantifying mixing in mantle plumes and its implications for the nature of deep-mantle heterogeneity. Mantle plumes are buoyant upwellings that bring hot material from Earth's deep-mantle to the surface, forming volcanic hotspots, like Hawaii. Although extensively studied, the geochemical variations recorded in hotspot lavas have, so far, proved difficult to understand, particularly how they relate to their heterogeneous deep-mantle source. This project aims to use state-of-the-art geodynamical models to determine how deep-mantle heterogeneities are transported into a plume and how such heterogeneities are mixed during plume ascent. This will facilitate the linking, for the first time, of geochemical variations at volcanic hotspots to the deep-mantle's thermo-chemical structure, under an Earth-like, fluid-dynamical framework.Read moreRead less
Declarative Networks: Towards Robust and Explainable Deep Learning. The aim of this project is to develop declarative machine learning techniques that exploit inherent structure and models of the world. Deep learning has become the dominant approach for machine learning with many products and promises built on this technology. But deep learning is expensive, opaque, brittle and relies solely on human labelled data. This project intends to make deep learning more reliable by establishing theory a ....Declarative Networks: Towards Robust and Explainable Deep Learning. The aim of this project is to develop declarative machine learning techniques that exploit inherent structure and models of the world. Deep learning has become the dominant approach for machine learning with many products and promises built on this technology. But deep learning is expensive, opaque, brittle and relies solely on human labelled data. This project intends to make deep learning more reliable by establishing theory and algorithms that allow physical and mathematical models to be embedded within a deep learning framework, providing performance guarantees and interpretability. This would likely benefit machine learning based products that can understand the world and interact with humans naturally through vision and language.Read moreRead less
Income and well-being: Evidence from international commodity price shocks. This project aims to examine the effects of income from international commodity price windfalls on peoples’ well-being. Exports of natural resources (iron, coal and copper) are an important source of income for the Australian economy. International prices for these commodities have declined in recent years, lowering national income. The project will analyse both objective and subjective measures of well-being at both the ....Income and well-being: Evidence from international commodity price shocks. This project aims to examine the effects of income from international commodity price windfalls on peoples’ well-being. Exports of natural resources (iron, coal and copper) are an important source of income for the Australian economy. International prices for these commodities have declined in recent years, lowering national income. The project will analyse both objective and subjective measures of well-being at both the cross-country time-series and the sub-national levels, tailored to the Australian economy. It is expected that the project’s findings will benefit academia, public policy makers and everyday people. The project will inform academics and policy makers about how income from international commodity price windfalls affects peoples' well-being.Read moreRead less