First of all everyone on internet, from blogs to YouTube videos showing a hill while explaining hill climbing, but I am unable to understand that what that hill represents.
Second, most of the people first describe generate and test algorithm, and then start explaining hill climbing. Like divide and conquer is technique and merge sort is algorithm which follow divide and conquer technique. Can we say that generate and test is a technique and hill climbing is an algorithm which follows generate and test algorithm.
Third, Wikipedia states that it is an optimizing algorithm. So can we say that we solved a searching problem from “abc” algorithm and then applied some heuristics repeatedly to optimize the searching algorithm is called hill climbing.
Fourth thing in my mind is that, bottom of the hill is what results our algorithm is generating right now and we know by heuristics that it can perform well. and top of the hill means the solution that we know is the best. So we start optimizing it till results are matched with our heuristics. So now we can say that we reached top of the hill.
Please clarify these things, these are extremely confusing.
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