Optimal Transforms of Random Vectors

随机向量的最优变换

• 批准号: DP0453236
• 负责人: Em/Prof Philip Howlett
• 金额: $ 12.53万
• 依托单位: University of South Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2004
• 资助国家: 澳大利亚
• 起止时间: 2004-01-01 至 2007-01-04
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0453236
• 关键词: Optimal; Transforms; Random; Vectors

This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelling of physical, chemical and biological systems, filtering and compression of signals and data classification and clustering. We propose two new hybrid models for realistic transforms in a general structural framework.

这项建议的重点是发展的最佳变换来描述和建模的非线性现象时，只有统计信息是已知的。 最优变换是一种数学过程，它使我们能够以最适合手头任务的方式处理信息。 这些变换已成功地用于近似，信息论，通信，控制理论和信号和图像处理。 应用包括物理、化学和生物系统的建模、信号的过滤和压缩以及数据分类和聚类。 我们提出了两个新的混合模型，在一个一般的结构框架的现实变换。