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courses:cs211:winter2018:journals:mccaffreyk:home:6 [2018/03/26 02:41] mccaffreykcourses:cs211:winter2018:journals:mccaffreyk:home:6 [2018/03/26 04:18] (current) mccaffreyk
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 combined. Thus, I will rate its ease of reading only 5/10. combined. Thus, I will rate its ease of reading only 5/10.
  
-=== Section 6.2: Principles of Dynamic Programming: Memoization or Iteration over Subproblems ===+=== Section 6.2: Principles of Dynamic Programming: Memoization or Iteration over Sub-problems === 
 + 
 +Here, we focus on the iterative way of applying this algorithm. we originally used a recursive style 
 +but both achieve the same results for this type of dynamic programming. The iterative algorithm iterates 
 +n times, always adding one value to our memoized array m. The values added into m are the maximum number of 
 +points if x-i intervals are considered, moving from 0 to n intervals where n is the interval that starts last.  
 +We find the values by computing each optimum solution (overlap vs number of points). I really liked the diagram 
 +present in this section. It helped me grasp key concepts which I did not yet understand when reading section 6.1. 
 +This gets an 8/10.  
 + 
 + 
 +=== Section 6.3: Segmented Least Squares: Multi-way Choices === 
 + 
 +Here we focus on the line of best fit problem. For a given line through a set of points 
 +on a 2d graph, we define error value as the sum of the squares of distances between the  
 +line and each point. The interesting thing here is that we allow more than one line.  
 +However, additional lines incur two penalties: segment number is multiplied by a constant 
 +and summed with the error of each segment. Clearly, we are attempting to minimize total  
 +error. We can define the constant C as we choose to encourage or discourage additional 
 +lines more. The exact algorithm is very abstract. We use iteration somewhat similar 
 +to that of section 6.2 to find and memoize the least square error sums in O(n^3) time. Next, we deal with  
 +how many line segments we will need, also with a recursive function. This part takes O(n^2) time. This 
 +section was hard for me to an extent similar to 6.1. This is because it gave complex mathematical formulas 
 +without explaining them adequately. Further, the algorithms were very abstract forcing me to make assumptions 
 +and constantly decipher them. Thus, my score for this section is 5/10.  
 + 
 + 
 + 
 + 
  
  
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