Optimal String Alignment Distance
Instance-Based, Kernel & Probabilistic Methods DS practice problem on Onlearn.
Difficulty: medium.
Topics: Optimal String Alignment Distance, Damerau-Levenshtein Distance, Transposition Operation, Bellman Equation, Memoization Table, Cost Function Minimization, Information Theory, Combinatorial Optimization, Natural Language Processing, Computational Complexity, Statistical Pattern Recognition, Edit Distance Metrics, Dynamic Programming, Sequence Alignment, String Kernel Methods, Approximate String Matching.
In this problem, you need to implement a function that calculates the Optimal String Alignment (OSA) distance between two given strings. The OSA distance represents the minimum number of edits required to transform one string into another. The allowed edit operations are: Insert a character Delete a character Substitute a character Transpose two adjacent characters Each of these operations costs 1 unit. Your task is to find the minimum number of edits needed to convert the first string (s1) into the second string (s2). For example, the OSA distance between the strings caper and acer is 2: one deletion (removing "p") and one transposition (swapping "a" and "c").