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playground:playground [2010/04/27 15:48]
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playground:playground [2023/08/19 21:02] (current)
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 ====== PlayGround ====== ====== PlayGround ======
-以下是对课件的补充和扩展: 
  
-2.不适用于非高斯噪声污染的数据集。 
- 
-设数据$m\timesn$矩阵$M=L+S$,$L$为潜在的低秩矩阵,$S$噪声矩阵。如果$S$非高斯噪声,例如稀疏且幅值不定的噪声,那么PCA将失效。此时,宜用改进的模型RPCA(Robust PCA)。 
-RPCA通过以下目标函数求解: 
-<​jsmath>​\min_{L,​S}\gamma \|L\|_{l_{1}}+\|S\|_{*} \;\; s.t. \; M=L+S</​jsmath>​ 
-此凸函数具有唯一最小值。使用ALM(Augmented Lagrange Multiplier)方法通过迭代可快速计算出结果。 
- 
-$\gamma$是权重参数,通常设为$\gamma=\frac{1}{\sqrt{\max\{m,​n\}}}$. 
- 
- 
-$x^2 
- 
-===== JSMath test ===== 
-You can simple input inline latex syntax like: $x^2+\frac{1}{b}$. 
-Have fun. <​jsmath>​\lim_{n\to\infty}\sum_{i=1}^{n} \frac{1}{i}=\infty</​jsmath>​ 
- 
-<note important>​浙江大学2008-2009版权所有,如需转载或引用,请与[[zhx@cad.zju.edu.cn | 作者联系]]。</​note>​ 
playground/playground.1272354528.txt.gz · Last modified: 2023/08/19 21:01 (external edit)