Mathematical Sciences: Stochastic Processes for Schrodinger Operators and Functional Estimation

数学科学：薛定谔算子的随机过程和函数估计

• 批准号: 9006596
• 负责人: Rene Carmona
• 金额: $ 3.38万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9006596&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Stochastic; Processes; Schrodinger

The principal investigator will work on applications of the wavelet transform and neural network models to density and regression estimates. This topic treats one of the fundamental problems in mathematical statistics. It has important applications to pattern recognition, prediction, and expert systems designs. The investigator will bring to these problems knowledge from mathematical physics. In addition, the investigator will work with undergraduate students on aspects of this topic. In particular, the undergraduates will be introduced to these topics via data analysis.

主要研究人员将致力于小波变换和神经网络模型在密度和回归估计中的应用。本主题讨论数理统计中的一个基本问题。它在模式识别、预测和专家系统设计中有重要的应用。研究人员将把数学物理的知识带到这些问题上来。此外，调查员将与本科生就这一主题的各个方面进行合作。特别是，本科生将通过数据分析来了解这些主题。