An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular ....Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular, understanding the effect of natural selection in different parts of the tree of life requires models that behave robustly in the face of shifting evolutionary processes. This project aims to use insights from algebraic methods to construct mathematically consistent models of wide biological utility.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE130100423
Funder
Australian Research Council
Funding Amount
$369,061.00
Summary
Group theory and phylogenetics: exploiting symmetry to uncover evolutionary history. Using advanced algebra, structural symmetries inherent in phylogenetic methods will be studied and improved approaches will be derived. DNA sequences contain a wealth of information about evolutionary events that occurred millions of years ago, but extracting this information requires the application of robust methods.
Ring constructions and algorithms for enhancing performance of BCH codes. BCH codes form a major class of codes used in modern communication systems. The aim of this project is to enhance the efficiency of this class of codes by combining them in constructions enabling correction of deletion and insertion errors, and develop efficient implementations of encoding and decoding algorithms incorporating soft decision methods for enhanced error correction. Significance of the project is explained by ....Ring constructions and algorithms for enhancing performance of BCH codes. BCH codes form a major class of codes used in modern communication systems. The aim of this project is to enhance the efficiency of this class of codes by combining them in constructions enabling correction of deletion and insertion errors, and develop efficient implementations of encoding and decoding algorithms incorporating soft decision methods for enhanced error correction. Significance of the project is explained by the role of fast, secure and reliable communications in modern information and communication technology. Expected outcomes include new efficient algorithms and commercial modules available for symbolic computation systems with applications in telecommunications industry.
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Powerful knowledge: mapping out standards of teachers' knowledge for teaching mathematics and English to achieve the goals of the curriculum. Setting standards is an important step to raising teacher quality. This project will establish benchmarks for teachers' knowledge at all levels of schooling in two key areas of the curriculum: English and mathematics.
Talking Maths: Bridging the gap through talk in Early Years mathematics . The study aims to address the gap in mathematical performance in Australia in relation to socioeconomic status (SES) by focusing on language and learning in mathematics. The study will design and evaluate a school-based intervention that positions language through talk as a key resource in teaching mathematics in Grades 1 and 2. Outcomes of the study will be empirical evidence of the effect of a language-based pedagogy on ....Talking Maths: Bridging the gap through talk in Early Years mathematics . The study aims to address the gap in mathematical performance in Australia in relation to socioeconomic status (SES) by focusing on language and learning in mathematics. The study will design and evaluate a school-based intervention that positions language through talk as a key resource in teaching mathematics in Grades 1 and 2. Outcomes of the study will be empirical evidence of the effect of a language-based pedagogy on young students' achievement in mathematics and further understanding of the relationship between talk and learning. These outcomes will inform policy and teacher education and have a long lasting impact on low SES students' educational and work opportunities with ultimate impact on economic and cultural prosperity.
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Reading the Social Future of the Australian Red Cross Blood Service. This project investigates how and if the Australian Red Cross Blood Service (ARCBS) is building social capital. It does this by interrogating existing practices and operations at the ARCBS and by surveying donors and non-donors. This project aims to develop a Deleuzian critique of the notion of social capital.
Vulnerability, autonomy and justice. Vulnerable people require assistance and care. But what are our responsibilities in relation to the vulnerable? And how can we provide assistance and care while avoiding stereotyping or paternalism? This research will advance ethical theory and be useful in solving practical problems in health research and policy.
Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has econom ....Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has economic importance as different fish species are all managed separately, having different catch limits, catch areas and market values. Using effective phylogenetic methods, epidemiologists can track the spread of a disease through a population. Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE220100265
Funder
Australian Research Council
Funding Amount
$417,000.00
Summary
A closed-loop human–agent learning framework to enhance decision making. This project aims to design a foundational human–agent learning framework to augment the decision making process, using reinforcement and closed-loop mechanisms to enable symbiosis between a human and an artificial-intelligence agent. It envisages significant new technologies to promote controllability and efficient and safe exploration of an environment for decision actions – drastically boosting learning effectiveness and ....A closed-loop human–agent learning framework to enhance decision making. This project aims to design a foundational human–agent learning framework to augment the decision making process, using reinforcement and closed-loop mechanisms to enable symbiosis between a human and an artificial-intelligence agent. It envisages significant new technologies to promote controllability and efficient and safe exploration of an environment for decision actions – drastically boosting learning effectiveness and interpretability in decision making. Expected outcomes will benefit national cybersecurity by improving our understanding of vulnerabilities and threats involving decision actions, and by ensuring that human feedback and evaluations can help prevent catastrophic events in explorations of dynamic and complex environments.Read moreRead less