p-Adic Methods in Arithmetic Geometry. This project concerns algorithms for determining the number of
solutions to systems of polynomial equations over finite fields
by p-adic methods. Our goal is to determine a fundamental
invariant, the zeta function, appearing in arithmetic geometry,
whose characterization was the subject of the famous Weil
conjectures.
....p-Adic Methods in Arithmetic Geometry. This project concerns algorithms for determining the number of
solutions to systems of polynomial equations over finite fields
by p-adic methods. Our goal is to determine a fundamental
invariant, the zeta function, appearing in arithmetic geometry,
whose characterization was the subject of the famous Weil
conjectures.
We seek to understand and develop p-adic methods for determining
zeta functions, taking as point of departure the methods of Satoh
and Mestre for elliptic curves. Applications of this work include
public key cryptography and coding theory, having direct impact
in e-commerce and telecommunications.
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Learning from Uncertain and Missing Labelling in Relational Data. Perceptual models for unstructured environments require complex modelling, usually specified in an ad-hoc manner. This project will substantially increase the range of robotic applications by learning more complex spatial statistical models for perception in challenging environments. Robots will be able to improve their perception capabilities with minimal human supervision.
Mining is one of the major components of the Australian ....Learning from Uncertain and Missing Labelling in Relational Data. Perceptual models for unstructured environments require complex modelling, usually specified in an ad-hoc manner. This project will substantially increase the range of robotic applications by learning more complex spatial statistical models for perception in challenging environments. Robots will be able to improve their perception capabilities with minimal human supervision.
Mining is one of the major components of the Australian economy. This project will improve mining automation and contribute to a more efficient industry, capable to compete internationally in the new globalisation context. Efficient extraction will also reduce the human impact and will be a significant factor for an environmentally sustainable development. Read moreRead less
Decision making and mission planning for Unmanned Underwater Vehicles. The work specifically addresses the National Research Priorities
in sustainable use of Australia's biodiversity, techniques for
transforming Australian industry and Safeguarding Australia.
Without a thorough understanding of processes that affect the
state of health of our oceans they will continue to be affected by
natural phenomena and stresses caused by human activity. A more
comprehensive understanding of these natu ....Decision making and mission planning for Unmanned Underwater Vehicles. The work specifically addresses the National Research Priorities
in sustainable use of Australia's biodiversity, techniques for
transforming Australian industry and Safeguarding Australia.
Without a thorough understanding of processes that affect the
state of health of our oceans they will continue to be affected by
natural phenomena and stresses caused by human activity. A more
comprehensive understanding of these natural systems and the
interplay with human activities is therefore essential.Read moreRead less
Autonomous Exploration and Characterization of Benthic Habitats Linked to Oceanographic Processes. The work specifically addresses the National Research Priorities in sustainable use of Australia's biodiversity and climate change. Without a thorough understanding of processes that affect the state of health of our oceans they will continue to be affected by natural phenomena and stresses caused by human activity. A more comprehensive understanding of these natural systems and the interplay with ....Autonomous Exploration and Characterization of Benthic Habitats Linked to Oceanographic Processes. The work specifically addresses the National Research Priorities in sustainable use of Australia's biodiversity and climate change. Without a thorough understanding of processes that affect the state of health of our oceans they will continue to be affected by natural phenomena and stresses caused by human activity. A more comprehensive understanding of these natural systems and the interplay with human activities is therefore essential.Read moreRead less
Development of Robust Control Systems for Magneto-Rheological Fluid-Based Smart Structures. Possessing the ability to withstand such destructive dynamic loading as gusty winds, fierce waves, and earthquakes, the smart structures of the future will enjoy the unprecedented safety and comfort bringing to their occupants and contents. This will directly benefit Australians. The development of the smart structure technology will also give domestic consultants the ability to compete internationally ....Development of Robust Control Systems for Magneto-Rheological Fluid-Based Smart Structures. Possessing the ability to withstand such destructive dynamic loading as gusty winds, fierce waves, and earthquakes, the smart structures of the future will enjoy the unprecedented safety and comfort bringing to their occupants and contents. This will directly benefit Australians. The development of the smart structure technology will also give domestic consultants the ability to compete internationally, resulting in obvious economic dividends and advantages benefiting Australia. Moreover, a successful effort leading to a major breakthrough of the important area of seismic protection research will have a significant impact far beyond the border of this country.Read moreRead less
Algebraic methods for Markov Chain Monte Carlo and quasi-Monte Carlo. In an increasingly complex world, the requirements on computational methods for solving real world problems from areas like statistics, finance, economics, physics and others are also constantly increasing. The results from this project will significantly improve existing computational methods, thereby helping to solve existing computational challenges and further strengthening Australia's reputation as a leading scientific lo ....Algebraic methods for Markov Chain Monte Carlo and quasi-Monte Carlo. In an increasingly complex world, the requirements on computational methods for solving real world problems from areas like statistics, finance, economics, physics and others are also constantly increasing. The results from this project will significantly improve existing computational methods, thereby helping to solve existing computational challenges and further strengthening Australia's reputation as a leading scientific location. The research carried out will be in collaboration with international experts, creating and strengthening existing ties of Australian research institutions with other world class research institutes overseas.Read moreRead less
A new paradigm for teaching machines to replicate the manipulation skills of humans using tactile sensing in a virtual environment. The broad aims of this proposal are to study machine learning in the psychomotor domain, and to show the feasibility of on line transfer of physically constrained manipulation skills from a human operator to a manipulator through demonstration utilising a virtual training environment with tactile sensing. The proposed work is unique in its approach and hypothesis, a ....A new paradigm for teaching machines to replicate the manipulation skills of humans using tactile sensing in a virtual environment. The broad aims of this proposal are to study machine learning in the psychomotor domain, and to show the feasibility of on line transfer of physically constrained manipulation skills from a human operator to a manipulator through demonstration utilising a virtual training environment with tactile sensing. The proposed work is unique in its approach and hypothesis, and will provide a new insight into the nature of transfer of manipulation skills from human to machine. It will produce new generic intelligent algorithms and methodologies to emulate different stages of human psychomotor learning in machine including perception, imitation, mechanism and complex/overt response.Read moreRead less
Integrating human operators into large-scale sensor networks. Information awareness is critical in many applications of national importance: from bush fire fighting and defence to transportation and health care. These applications involve tasks in which timely delivery and fusion of heterogeneous information streams is of critical importance. They can all benefit from the use of robotic and embedded sensor networks considered in this project. Human operators, acting as users or supervisors, will ....Integrating human operators into large-scale sensor networks. Information awareness is critical in many applications of national importance: from bush fire fighting and defence to transportation and health care. These applications involve tasks in which timely delivery and fusion of heterogeneous information streams is of critical importance. They can all benefit from the use of robotic and embedded sensor networks considered in this project. Human operators, acting as users or supervisors, will remain at the centre of these systems. The technology and algorithms developed in this project will efficiently structure information exchange between humans and sensor networks. Establishing Australian leadership in this fast-evolving high-technology field will spur growth and job creation.Read moreRead less
Optimisation methods for coherent quantum signal estimation and filtering. The project aims to develop an innovative systems theory and optimisation methods to enhance the design of components for next-generation quantum communication networks. It will advance new theoretical knowledge and efficient algorithms that can be applied to make networks more efficient and less costly. New technologies set to emerge within the next decade including specialised quantum processors and transformative cyber ....Optimisation methods for coherent quantum signal estimation and filtering. The project aims to develop an innovative systems theory and optimisation methods to enhance the design of components for next-generation quantum communication networks. It will advance new theoretical knowledge and efficient algorithms that can be applied to make networks more efficient and less costly. New technologies set to emerge within the next decade including specialised quantum processors and transformative cyber security systems will require ultra-fast networks, and the project will contribute significantly to advancing these technologies. This will benefit the Australia's economy and reinforce Australia's leadership in the quantum technological revolution through innovative engineering approaches.Read moreRead less
Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "goo ....Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "good" codes and cryptosystems can be constructed from specific function fields whose existence is guaranteed by abstract theory, often no actual construction for the function field is currently known. We aim to close this gap, making a greater range of "good" codes and cryptosystems available for practical applications.
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