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--- data_mining:pca [2014/08/24 02:02] – phreazer
+++ data_mining:pca [2014/08/24 02:10] – [Parameterwahl (k)] phreazer
@@ Line 31: / Line 31: @@
 $$
-\frac{\frac{1}{m} \sum_{i=1}^m || x^{(i)} - x_{\text{approx}}^{(i)} ||^2}{\frac{1}{m} \sum_{i=1}^m || x^{(i)}||^2}
+\frac{\frac{1}{m} \sum_{i=1}^m || x^{(i)} - x_{\text{approx}}^{(i)} ||^2}{\frac{1}{m} \sum_{i=1}^m || x^{(i)}||^2} \leq 0.01
 $$
+[U,S,V] mit S als diagonale Matrix.
+Für ein k, kann $1-\frac{\sum_{i=1}^k S_{ii}}{\sum_{i=1}^n S_{ii}} \leq 0.01$.
+===== Decompression =====
+$x_\text{approx} = U_\text{reduce} z$