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低阶建模

Low-rank modeling
课程网址: http://videolectures.net/mlss2011_candes_lowrank/  
主讲教师: Emmanuel Candes
开课单位: 斯坦福大学
开课时间: 2011-10-12
课程语种: 英语
中文简介:
受压缩传感成功的启发,过去三年中低等级建模理论的研究爆炸式增长。到目前为止,我们得到的结果表明,可以通过易处理的凸优化从最小数量的条目或线性函数中恢复某些低秩矩阵。我们进一步知道这些方法对加性噪声甚至异常值都是稳健的。在不同的方向,研究人员开发了计算易处理的方法,用于聚类高维数据点,假设这些数据点是从多个低维线性子空间中提取的。本讲座将调查这些领域的一些令人兴奋的结果。
课程简介: Inspired by the success of compressive sensing, the last three years have seen an explosion of research in the theory of low-rank modeling. By now, we have results stating that it is possible to recover certain low-rank matrices from a minimal number of entries -- or of linear functionals -- by tractable convex optimization. We further know that these methods are robust vis a vis additive noise and even outliers. In a different direction, researchers have developed computationally tractable methods for clustering high-dimensional data points that are assumed to be drawn from multiple low-dimensional linear subspaces. This talk will survey some exciting results in these areas.
关 键 词: 压缩传感; 低等级建模; 低秩矩阵
课程来源: 视频讲座网
最后编审: 2019-07-23:cwx
阅读次数: 78