Mathematical Sciences: Nonlinear Approximation

数学科学：非线性近似

• 批准号: 9212420
• 负责人: Ronald DeVore
• 金额: $ 1.5万
• 依托单位: University of South Carolina at Columbia
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-12-01 至 1995-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9212420&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nonlinear; Approximation

This award provides support for graduate student research focusing on research in approximation theory under investigation by the principal investigator. The principal investigator's research is supported by several other government agencies. Work will center on problems of nonlinear approximation such as that accomplished by wavelet compression, with applications to signal processing. Particular emphasis will be placed on question of multivariate approximation using both wavelets and rationalapproximation schemes. Other work concerns applications to image restoration, neural networks and linear approximation to shift-invariant spaces.

该奖项为研究生研究提供了支持，该研究重点是首席研究者正在研究的近似理论研究。 首席研究者的研究得到了其他几个政府机构的支持。 工作将集中在非线性近似问题上，例如通过小波压缩完成的问题，以及用于信号处理的应用。 特别强调使用小波和理性approximation方案的多元近似问题。 其他工作涉及图像恢复，神经网络和线性近似的应用到换档空间。