Topological-based numerical methods for real-world problems

针对现实世界问题的基于拓扑的数值方法

• 批准号: 2882199
• 金额: --
• 依托单位: University of Birmingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2882199
• 关键词: Topological; based; numerical; methods; real

This project proposes to use numerical methods, specifically methods incorporating topological techniques, to investigate a range of complex interdisciplinary research problems. This will involve working with existing partners and creating new partnerships with research groups and industries to create innovative solutions to real-world problems. There are three key existing collaborations which this project will continue: The institute of Cardiovascular Sciences - Advancing photoacoustic imaging technologies within the biomedical optics sector by employing topological numerical methods. Renishaw plc. - Improving the sensitivity of spectrometers using topological machine learning. 6 Bit Education Ltd. - Improbing the similarity measures in student assignments using machine learning on topological trees. Additionally, this project will seek a new collaboration with the Computation and Theory of Soft Materials department within the School of Chemistry, where numerical and mathematical methods will be implemented to study soft materials. The main goal of this PhD is to create numerical toolkits and libraries based on topological methods to solve a variety of research problems. The solutions to these problems will have a real-world impact and could be implement in the near future. The approach of running several mini projects along with industry placements allows for hands-on learning and opportunities to learn from other groups of people with different areas of expertise. This project offers great chances for groundbreaking advancements in many fields.

该项目建议使用数值方法，特别是结合拓扑技术的方法，来研究一系列复杂的跨学科研究问题。这将涉及与现有合作伙伴合作，并与研究团体和行业建立新的合作伙伴关系，为现实世界的问题创造创新的解决方案。 该项目将继续开展三项关键的现有合作：心血管科学研究所-通过采用拓扑数值方法在生物医学光学领域推进光声成像技术。雷尼绍公司- 使用拓扑机器学习提高光谱仪的灵敏度。6 Bit Education Ltd. -使用拓扑树上的机器学习来探索学生作业中的相似性度量。此外，该项目将寻求与化学学院软材料计算和理论部门的新合作，在那里将实施数值和数学方法来研究软材料。 这个博士学位的主要目标是创建基于拓扑方法的数值工具包和库，以解决各种研究问题。这些问题的解决方案将产生实际影响，并可能在不久的将来实施。运行几个小型项目的方法沿着行业安置允许动手学习和机会，从具有不同专业领域的其他人群学习。该项目为许多领域的突破性进展提供了很好的机会。