High Dimensional Approximation, Learning, and Uncertainty

该项目旨在为具有许多不确定参数的科学和工程复杂问题开发下一代计算方法，使用先进的高维策略和深度学习来提高计算速度。该项目的意义在于，这些方法将有助于解决目前不可行或处于可行性边缘的重要应用。预期的结果是强大的方法，将是严格的数学和适用于各种各样的应用。其好处是，该项目将提升澳大利亚作为创新领导者的地位，并有助于从航空航天工程到个性化计算肿瘤学等广泛领域的未来发展。

This project aims to develop next-generation computational methods for complex problems in science and engineering that have many uncertain parameters, using advanced high-dimensional strategies and deep learning to enhance computational speed. The significance of the project is that these methods will help address important applications that at present are not feasible or at the edge of feasibility. The expected outcomes are powerful methods that will be mathematically rigorous and suitable for a wide variety of applications. The benefits are that the project will boost Australia’s position as a leader in innovation, and contribute to future developments over a wide area, from aerospace engineering to personalised computational oncology.