Upload File

alpha beta pruning

38
- 2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Upload: nilesh-bandekar

Post on 15-Apr-2017

334 views

Category:

Engineering


0 download

Report

TRANSCRIPT

Page 1: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Page 2: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Page 3: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Page 4: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Page 5: Alpha beta pruning

2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6-2

Page 6: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

-2

Page 7: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

Page 8: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

-2 2

Page 9: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

Page 10: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

Page 11: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

Page 12: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

Page 13: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

Page 14: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

Page 15: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

1

Alpha must be greater than beta

note

No such condition so check further

Nilesh
Page 16: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

1

Page 17: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Alpha is greater than beta So do not check further

Page 18: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Page 19: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Page 20: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Page 21: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Page 22: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3

Page 23: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

Same condn

Compare alpha beta

Condn true SO DO NOT CHECK further

Page 24: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

Same condn

Compare alpha beta

Condn true SO DO NOT CHECK further

Page 25: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

Page 26: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

2

Page 27: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

2

Page 28: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

2

Page 29: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4

2

Page 30: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 -1

2

Page 31: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 -1

2

Page 32: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

Page 33: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

Page 34: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

Page 35: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

Page 36: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

1

Page 37: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

1

Again Same condn

Compare alpha beta Alpha is gr8ter than beta

Condn true SO DO NOT CHECK further

Page 38: Alpha beta pruning

-2 2 1 1 3 4 4 3 7 -1 1 0 3 5 4 2 5 6

2

2

3 4 1

2

1


Alpha Beta Pruning

Game Playing Mini-Max search Alpha-Beta pruning General concerns on games

SE 420 1 This time: Outline Game playing The minimax algorithm Resource limitations alpha-beta pruning Elements of chance

Minimax Search and Alpha-Beta Pruning:

G AME P LAYING 2. T HIS L ECTURE Alpha-beta pruning Games with chance Partially observable games

CS 161 Recitation Notes - Minimax With Alpha Beta Pruning

1 Tree Search (12 points) - MIT OpenCourseWare · 5 Alpha-Beta Pruning (5 points) In the following game tree, are there any alpha-beta cutoffs? 8 2 6 8 Max Min Max • Consider the

An Analysis of the Full Alpha-Beta Pruning Algorithmherpsonc.eu/docs/IA1/AnAnalysisOfTheFullAlphaBetaPruningAlgorith… · excellent presentation and historical, ... in partiicui,arj

CSE 573: Artificial Intelligence · Alpha-Beta Pruning Properties This pruning has no effect on final result at the root Values of intermediate nodes might be wrong! but, they are

CS 2710 Foundations of AIpeople.cs.pitt.edu/~milos/courses/cs2710-Fall2004/lectures/Class8.p… · • Minimax algorithm • Speedups: – Alpha-Beta pruning – Search tree cutoff

10/13/11 Solution: Minimax with Alpha-Beta Pruning and ...web.mit.edu/6.034/ · minimax with alpha-beta pruning and progressive deepening on the corresponding game tree up to depth

Applications of informed search optimization problems Algorithm A, admissibility, A* zero-sum game playing minimax principle, alpha-beta pruning Dave

1.Alpha-Beta Pruning - jnkvv.orgjnkvv.org/PDF/16042020120556Alpha beta algo.pdf · 1.Alpha-Beta Pruning 1. Alpha-beta pruning is a modified version of the minimax algorithm. It is

Lecture 23 alpha beta pruning

Penerapan Algoritma Negamax dan Alpha Beta Pruning pada ...eprints.mdp.ac.id/1928/1/Jurnal willian.pdf · Penerapan Algoritma Negamax dan Alpha Beta Pruning pada Permainan Othello

Performance analysis of Alpha-Beta Pruning n Since alpha-beta pruning performs a minimax search while pruning much of the tree, its effect is to allow

Game-Playing & Adversarial Search Alpha-Beta Pruning, etc. This lecture topic: Game-Playing & Adversarial Search (Alpha-Beta Pruning, etc.) Read Chapter

Adversarial Search. Game playing Perfect play The minimax algorithm alpha-beta pruning Resource limitations Elements of chance Imperfect information

Analysis of the alpha-beta pruning algorithm - Télécom SudParisgibson/Teaching/CSC4504/Reading... · 2013-02-26 · ANALYSIS OF THE ALPHA-BETA PRUNING ALGORITHM S. H. Fuller, J

Multi-player alpha-beta pruning - Georgia Institute of …thad/6601-gradAI-fall2015/...Multi-player alpha-beta pruning 101 More formally, define M(x) to be the static heuristic value

Analysis of the Alpha-beta Pruning Algorithm

Alpha-Beta Pruning – Example - DePaul Universityfacweb.cs.depaul.edu/mobasher/classes/cs480/lectures/Alpha-Beta... · Alpha-Beta Pruning – Example 05-33-3 -3 0 2 -2 3 5 253-5

April 15 2017 University of Minnesota, Morris Division of ...Alpha-Beta Alpha-Beta is an improvement of minimax It allows for faster pruning Space complexity of O(bm/2) in best case,

Minimax and alpha-beta pruningweb.cse.ohio-state.edu/~barker.348/cse3521_su19/minimaxAB.pdf · Alpha-Beta Pruning • Can be applied to trees of any depth • Often possible to prune

ALPHA BETA KAPPA HONOR SOCIETY - Microsoft · 2019-05-20 · ALPHA BETA KAPPA HONOR SOCIETY Alpha Beta Kappa Overview Alpha Beta Kappa (ABK) is the premier national honor society

Alpha-Beta Pruning - Whitman College

Alpha-beta Pruning · 2020-06-15 · Alpha-beta Pruning. The trouble with Minimax • The full Minimax search of all possible ways a game could be played takes time. • If there

More on games (Ch. 5.4-5.6)...Alpha-beta pruning In general, alpha-beta pruning allows you to search to a depth 2d for the minimax search cost of depth d So if minimax needs to find:

An Analysis of Alpha-Beta Pruning

Backtracking, branch & bound and alpha-beta pruning: how ...lovelace.thi.informatik.uni-frankfurt.de/lehre/pda/... · Backtracking, branch & bound and alpha-beta pruning: how to assign

Alpha-Beta with Sibling Prediction Pruning in Chess

Games and Adversarial Search II Alpha-Beta Pruning (AIMA 5.3)cis521/Lectures/Games II-6up.pdf · Games and Adversarial Search II Alpha-Beta Pruning (AIMA 5.3) Some slides adapted

Haemoglobin structure Alpha- type Alpha- type Beta- type Beta- type Haem

MiniMax and Alpha Beta Pruning - GitLab · Alpha-Beta Pruning Alpha-beta pruningallows to avoid searching subtrees of moves which do not lead to the optimal minimax solution. 5 2

Pembuatan game nim menggunakan Alpha-beta pruning filePEMBUATAN GAME NIM MENGGUNAKAN ALPHA-BETA PRUNING By Muhammad Arifin(7407 0300 45) Supervisor : 1. EntinMartianaKusumaningtyas,