Innovative Methods for Very High Dimensional Problems

真实的世界问题往往涉及大量的变量。这种“维数灾难”在统计学、金融学、经济学和物理学等应用领域造成了很大的困难。这些高维问题并不局限于澳大利亚，世界范围内对有效和高效的方法来解决这些问题有很大的需求。这里开发的新方法将导致主流计算技术的改进，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产出，建立学科知识基础，吸引国际兴趣，并启动联系。

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.