Update notebooks/8_Clustering/N1_Kmeans_basic.ipynb,...

Update notebooks/8_Clustering/N1_Kmeans_basic.ipynb, notebooks/8_Clustering/N2_KMeans_iris_data_example.ipynb, notebooks/8_Clustering/N3_Kernel_Kmeans_example.ipynb, notebooks/8_Clustering/N4_EM_basic.ipynb, notebooks/8_Clustering/N5_EM_iris_data_example.ipynb files

notebooks/8_Clustering/N4_EM_basic.ipynb

@@ -54,11 +54,11 @@
 ```
 
 %% Cell type:markdown id: tags:
 
 ### Exercize
-- Identify the arrays above wrt to the charateristics of the GMM introduced in th electure
+- Identify the arrays above wrt to the charateristics of the GMM introduced in the lecture
 - Explain why different means are initialized, whereas same variances may be used
 - Comment the line codes below, briefly
 
 %% Cell type:code id: tags:
 
@@ -90,11 +90,12 @@
 ```
 
 %% Cell type:markdown id: tags:
 
 ### Exercize
-Below, the plot diplays the 2 Gaussian pdfs involved in the mixture; the mixture distribution to that plot. 
+- What is the array that informs about the labels that should be assigned to each observation? Print an example. 
+- Below, the plot diplays the 2 Gaussian pdfs involved in the mixture; add the mixture distribution to that plot. 
 
 %% Cell type:code id: tags:
 
 ``` python
 Xt=np.linspace(-2,8,1000)
@@ -196,6 +197,13 @@
 
 %% Cell type:markdown id: tags:
 
 ### Exercize 
 - Compare and interpret Kmeans wrt EM; 
-- Interpret the reposability functions resp0 and resp1. 
+- Interpret the responsability functions resp0 and resp1. 
+- Why is EM sometimes interpreted as a "soft-Kmeans" algorithm? What would be the responsability curves for Kmeans? 
+
+%% Cell type:code id: tags:
+
+``` python
+
+```