# Uniform Cost Search Algorithm

MajesticJudgment
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## 8 Questions

### In Uniform Cost Search, how are nodes in the OPEN list sorted?

By their $g(.)$ values in ascending order

### What type of information does Informed (Heuristic) Search use to reduce the search tree?

Problem-specific information

### What is the key idea behind Best-First Search?

Use an evaluation function $f(n)$ for node $n$ and choose the node from fringe with the lowest $f$ value

### What type of search becomes similar to Breadth-First Search when all arcs have the same cost?

Uniform Cost Search

### What is the termination condition for Uniform-Cost Search?

Terminate if a node selected for expansion is a goal

### What is the key difference between Uniform Cost Search and Best-First Search?

Uniform Cost Search always selects the node with the lowest g(n) value, while Best-First Search uses an evaluation function f(n) to choose the node with the lowest f value.

### In Uniform Cost Search, how are nodes in the OPEN list sorted?

Nodes in OPEN are sorted by their g(.) values in ascending order.

### What type of search becomes similar to Breadth-First Search when all arcs have the same cost?

Uniform Cost Search

## Study Notes

### Uniform Cost Search

• In Uniform Cost Search, nodes in the OPEN list are sorted by their path cost (g(n)) from the initial state to the node.
• The termination condition for Uniform-Cost Search is when the goal node is reached.

### Best-First Search

• The key idea behind Best-First Search is that the node with the lowest estimated total cost (f(n) = g(n) + h(n)) is expanded first.
• The key difference between Uniform Cost Search and Best-First Search is that Uniform Cost Search uses path cost (g(n)) to guide the search, while Best-First Search uses an estimate of the total cost (f(n)) to guide the search.

### Informed (Heuristic) Search

• Informed (Heuristic) Search uses an estimate of the distance from a node to the goal state (heuristic function h(n)) to reduce the search tree.

### Special Case

• When all arcs have the same cost, Uniform Cost Search becomes similar to Breadth-First Search.

Test your knowledge about Uniform Cost Search, a problem-solving algorithm in artificial intelligence. Learn about selecting nodes for expansion and sorting nodes by their g(n) values.

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