๋ณธ๋ฌธ ๋ฐ”๋กœ๊ฐ€๊ธฐ

๐“ก๐“ธ๐“ธ๐“ถ5: ๐’ฆ๐‘œ๐“‡๐‘’๐’ถ ๐’ฐ๐“ƒ๐’พ๐“‹/Artificial Intelligence(COSE361)

[์ธ๊ณต์ง€๋Šฅ] 3. Solving problems by searching - 1

1. Problem-Solving Agents

  1) Problem Formulation

  - Problem์€ initial state, actions, transition model, goal test, path cost๋กœ ์ •์˜๋œ๋‹ค.

  - Problem formulation์€ goal์ด ์ฃผ์–ด์ง„ ์ƒํ™ฉ์—์„œ, ๋ฌด์Šจ action ๊ณผ states๋ฅผ ๊ณ ๋ คํ•  ๊ฒƒ์ธ์ง€ ๊ฒฐ์ •ํ•˜๋Š” ๊ณผ์ •์„ ๋งํ•œ๋‹ค.

  - Problem์˜ solution์€ initial state๊ฐ€ goal state๋กœ ๊ฐ€๊ฒŒ ๋งŒ๋“œ๋Š” action๋“ค์˜ sequence์ด๋‹ค.

  - goal์— ๋‹ค๋‹ค๋ฅด๊ธฐ ์œ„ํ•œ sequence of actions์„ ์ฐพ์•„๋‚˜๊ฐ€๋Š” ๊ณผ์ •์ด search์ด๋‹ค.

  - solution์ด ์ฐพ์•„์ง€๋ฉด action์ด ์ˆ˜ํ–‰๋˜๋„๋ก ์ถ”์ฒœ๋œ๋‹ค. ์ด๊ฒƒ์ด ๋ฐ”๋กœ execution์ด๋‹ค. 

 

   * State Space  : initial state์—์„œ๋ถ€ํ„ฐ ์–ด๋–ค action squence๋ฅผ ํ†ตํ•ด ๋„๋‹ฌํ•  ์ˆ˜ ์žˆ๋Š” ๋ชจ๋“  states๋“ค์˜ ์ง‘ํ•ฉ

   * path : sequence of actions์— ์˜ํ•ด ์—ฐ๊ฒฐ๋œ states๋“ค์˜ sequence

  2). Abstraction (์ถ”์ƒํ™”)

     : representation์—์„œ detail์„ ์ œ๊ฑฐํ•ด๋‚˜๊ฐ€๋Š” ๊ณผ์ •์ด abstraction์ด๋‹ค. Abstraction์€ ์šฐ๋ฆฌ๊ฐ€ ์–ด๋–ค abstract solution์„ ๋” detailed ํ•œ ํ™˜๊ฒฝ์—์„œ solution์œผ๋กœ ํ™•์žฅ์‹œํ‚ฌ ์ˆ˜ ์žˆ๋‹ค๋ฉด validํ•˜๋‹ค. Abstraction์€ ์›๋ž˜์˜ ๋ฌธ์ œ๋ณด๋‹ค solution์— ์žˆ๋Š” ๊ฐ๊ฐ์˜ actions๋“ค์„ ์ˆ˜ํ–‰ํ•˜๋Š” ๊ฒƒ์ด ๋” ์‰ฌ์šธ ๊ฒฝ์šฐ์— ์œ ์šฉํ•˜๋‹ค. ๋”ฐ๋ผ์„œ ๋” ์ข‹์€ abstraction์„ ํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š”, validity๋ฅผ ์œ ์ง€ํ•˜๊ณ  abstract action์ด ์ˆ˜ํ–‰ํ•˜๊ธฐ ์‰ฝ๋„๋ก ์œ ์ง€ํ•˜๋ฉด์„œ๋„ ๊ฐ€๋Šฅํ•œ ๋งŽ์€ detail์„ ์ œ๊ฑฐํ•ด์•ผ ํ•œ๋‹ค. 

 

 

2. Example Problems

3. Searching for Solutions

  1) Search Tree  

    - Solution์€ action sequence์˜ ํ˜•ํƒœ๋กœ ๋‚˜ํƒ€๋‚จ. ๊ทธ๋ž˜์„œ search ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ์—ฌ๋Ÿฌ๊ฐ€์ง€ ๊ฐ€๋Šฅํ•œ action sequences๋“ค์„ ๊ณ ๋ คํ•˜์—ฌ ์ž‘๋™ํ•œ๋‹ค. 

    - ๋ชจ๋“  ๊ฐ€๋Šฅํ•œ action sequence๋Š” initial state์— ์‹œ์ž‘ํ•˜๋Š”๋ฐ, search tree์—์„œ๋Š” ๊ทธ๊ฒŒ ๋ฐ”๋กœ root!! 

    - branches๋Š” ๊ฐ๊ฐ action์ด๊ณ  nodes๋Š” state space์— ์†ํ•˜๋Š” state์— ํ•ด๋‹นํ•œ๋‹ค. 

 

  2) Search Strategy and Performance Evaluation

     i. Search Strategy

       - First-in first-out (FIFO)

       - Last-in first-out (LIFO)

       - Highest priority first

 

     ii. Performance evaluation

       - Completeness

       - Optimality

       - Time complexity

       - Space complexity