Questions tagged [hill-climbing]

For questions related to the family of algorithms called "hill climbing" (in the context of AI).

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1answer
65 views

How does best-first search differ from hill-climbing?

How does best-first search differ from hill-climbing?
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0answers
47 views

Can we solve an $8 \times 8$ sliding puzzle using hill climbing?

Can we solve an $8 \times 8$ sliding puzzle using a random-restart hill climbing technique (steepest-ascent)? If yes, how much computing power will this need? And what is the maximum $n \times n$ that ...
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1answer
394 views

What is the difference between hill-climbing and greedy best-first search algorithms?

While watching MIT's lectures about search, 4. Search: Depth-First, Hill Climbing, Beam, the professor explains the hill-climbing search in a way that is similar to the best-first search. At around ...
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1answer
76 views

How can I solve the zero subset sum problem with hill climbing?

I want to solve the zero subset sum problem with the hill-climbing algorithm, but I am not sure I found a good state space for this. Here is the problem: consider we have a set of numbers and we want ...
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2answers
721 views

What are the properties of hill climbing?

What are the properties of hill climbing? More precisely, does it encounter any of the following phenomena? Local maxima Inadmissible heuristic Ridges Plateau
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1answer
327 views

How could we solve the TSP using an hill-climbing approach?

How could we solve the TSP using an hill-climbing approach?
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1answer
186 views

Why does hill climbing algorithm only produce a local maximum?

Apparently, the hill climbing algorithm just produces a local maximum, and not necessarily a global optimum. It's stuck on a local maximum. Why does hill climbing algorithm only produce a local ...
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1answer
103 views

What is the basic purpose of local search methods?

I read about the hill climbing algorithms, the simulating annealing algorithm, but I am confused. What is the basic purpose of local search methods?
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2answers
8k views

What are the limitations of the hill climbing algorithm and how to overcome them?

What are the limitations of the hill climbing algorithm? How can we overcome these limitations?
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1answer
2k views

How is simulated annealing better than hill climbing methods?

In hill climbing methods, at each step, the current solution is replaced with the best neighbour (that is, the neighbour with highest/smallest value). In simulated annealing, "downhills" moves are ...
4
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2answers
2k views

How can I formulate the map colouring problem as a hill climbing search problem?

I have a map. I need to colour it with $k$ colours, such that two adjacent regions do not share a colour. How can I formulate the map colouring problem as a hill climbing search problem?
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1answer
68 views

Should the mutation be applied with the hill climbing algorithm?

As far as I understand, the hill climbing algorithm is a local search algorithm that selects any random solution as an initial solution to start the search. Then, should we apply an operation (i.e., ...
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1answer
546 views

What should I do when the new generated state has bigger distance to the goal than the parent state?

I have implemented the hill climbing algorithm, with side away steps, which can increase the rate of success, because, when you don't have new generated states, you can go back to previous level and ...
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2answers
566 views

Why is the larger value, as opposed to the smaller one, chosen, in the hill climbing algorithm?

In the hill climbing algorithm, the greater value, compared to the current value, is selected, but I cannot understand why it takes the larger value instead of the smaller one. Why is that? I greatly ...
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4answers
3k views

When to choose Stochastic Hill Climbing over Steepest Hill Climbing?

Stochastic Hill Climbing generally performs worse than Steepest Hill Climbing, but what are the cases in which the former performs better?
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1answer
2k views

How do I solve the knapsack problem using the hill climbing algorithm?

I need to solve the knapsack problem using hill climbing algorithm (I need to write a program). But I'm clueless about how to do it. My code should contain a method called ...
8
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2answers
139 views

Are there local search algorithms that make use of memory to give better solutions?

I have been studying local search algorithms such as greedy hill-climbing, stochastic hill-climbing, simulated annealing, etc. I have noticed that most of these methods take up very little memory as ...