Innovative Methods for Very High Dimensional Problems

解决极高维问题的创新方法

• 批准号: DP0770878
• 负责人: Prof Frances Kuo
• 金额: $ 45.15万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-01-01 至 2012-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0770878
• 关键词: Innovative; Methods; Very; Dimensional; Problems

Real world problems tend to involve an enormous number of variables. This "curse of dimensionality" poses great difficulty in application areas such as statistics, finance, economics, and physics. These high dimensional problems are not confined to Australia, and there is great demand worldwide for effective and efficient methods to tackle these problems. The novel methods developed here will lead to improvements in prevailing computational technologies, which will help to enhance Australia's reputation as a leading scientific innovator. The international collaborations will increase the research output of the country, build up the knowledge base in the discipline, draw international interest, and initiate linkages.

现实世界中的问题往往涉及大量变量。这种“维度的诅咒”在统计，金融，经济学和物理学等应用领域构成了极大的困难。这些高维问题不仅限于澳大利亚，而且在全球范围内有很大的需求来解决这些问题。这里开发的新方法将导致盛行的计算技术改进，这将有助于提高澳大利亚作为领先的科学创新者的声誉。国际合作将增加该国的研究成果，在学科中建立知识库，引起国际兴趣并启动联系。