Breakthrough mathematics for dynamical systems and data

动力系统和数据的突破性数学

• 批准号: FL230100088
• 负责人: Prof Gary Froyland
• 金额: $ 173.17万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Australian Laureate Fellowships
• 财政年份: 2024
• 资助国家: 澳大利亚
• 起止时间: 2024-06-30 至 2029-06-29
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FL230100088
• 关键词: Breakthrough; mathematics; dynamical; systems; data

This fellowship aims to create a step change in the mathematics we use to learn actionable information from dynamical systems and dynamical data. Using a groundbreaking, operator-theoretic approach to analyse high dimensional systems and spatiotemporal data, this project expects to generate new knowledge in the modelling of complex systems and new pathways for unsupervised machine learning. Expected outcomes of this fellowship include a tranche of new mathematics and practical next-generation algorithms to discover hidden human-understandable patterns in complex dynamical systems and data. This should provide significant universal benefits to many areas of science, including elucidating mechanisms underlying climate and social dynamics.

该奖学金旨在使我们用来从动力系统和动力数据中学习可操作信息的数学发生重大变化。该项目使用突破性的算子理论方法来分析高维系统和时空数据，期望在复杂系统建模中产生新知识，并为无监督机器学习提供新途径。该奖学金的预期成果包括一系列新的数学和实用的下一代算法，以发现复杂动力系统和数据中隐藏的人类可理解的模式。这将为许多科学领域带来重大的普遍利益，包括阐明气候和社会动态的潜在机制。