在高维随机域近似Approximation of Random Fields in High Dimension |
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课程网址: | http://videolectures.net/sip08_serdyukova_aorfih/ |
主讲教师: | Nora Serdyukova |
开课单位: | 魏尔斯特拉斯应用分析与随机研究所 |
开课时间: | 2008-12-18 |
课程语种: | 英语 |
中文简介: | 我们考虑在平均情况设置中,通过Karhunen-Lo`eve扩展到张量积类型的d参数随机场的n项部分和的ε -approximation。我们调查行为,如d→ ∞,信息复杂性的近似误差不超过给定水平ε。最近表明,对于这个问题,人们观察到维度(难以处理)现象的诅咒。我们的目标是给出信息复杂性的精确渐近表达式。 |
课程简介: | We consider the ε-approximation by n-term partial sums of the Karhunen- Lo`eve expansion to d-parametric random fields of tensor product-type in the average case setting. We investigate the behavior, as d → ∞, of the informa- tion complexity of approximation with error not exceeding a given level ε. It was recently shown that for this problem one observes the curse of dimen- sionality (intractability) phenomenon. We aim to give the exact asymptotic expression for the information complexity. |
关 键 词: | 维度; 卡亨南-罗`前夕膨胀; 随机fi领域 |
课程来源: | 视频讲座网 |
最后编审: | 2020-06-15:wuyq |
阅读次数: | 47 |