Edit Distance 張智星 (Roger Jang)

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Presentation transcript:

Edit Distance 張智星 (Roger Jang) jang@mirlab.org http://mirlab.org/jang 多媒體資訊檢索實驗室台灣大學資訊工程系

Edit Distance Edit distance The minimum total cost of the basic operations (delete with cost 1, insert with cost 1, substitute with cost 2) that are required to convert a string into another. Used in “diff” command of unix.

DP for Edit Distance: 3-step Formula Quiz!

DP for Edit Distance: Table Filling (1/2) All DP problems can be visualized as path finding…

DP for Edit Distance: Table Filling (2/2) To create this plot Download Machine Learning Toolbox Run editDistance('prosperity', 'properties', [2 1 1], 1) under MATLAB A 45-degree back-tracking path indicates a “substitute” or “equal”.

DP for Edit Distance: Table Filling Hints Create a (m+1)*(n+1) matrix for table filling Fill row 0 and column 0 first to establish the base cases of boundary conditions Fill all the other elements in a layer-by-layer manner.

DP for Edit Distance: Solution

Exercise

Solution