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OutlineOutline
1. The math behind Go
2. From Crazy Stone -> AlphaGO
3. AlphaGo vs AlphaZero
4. Policy Iteration
5. Policy Improvement (Math alert!)
6. Policy Evaluation
7. The deep side of AlphaZero
8. Code and demo
"For a true AI isn't measured by the size of its tree, but by
the precision of its moves." Filottete
Go is constructive
Humans describe more as intuititive game
possible states
possible games for each starting state
10
170
10
360
Adversarial
Fully observable
Deterministic
AI in GoAI in Go
"The mystery of Go, the ancient game that computers still
can't win" - Wired 2014
CrazyStoneCrazyStone
AlphaGo Zero vs AlphaZeroAlphaGo Zero vs AlphaZero
Reinforcement LearningReinforcement Learning
ExampleExample
NoticeNotice
The agent de nes the part of the world that wants to
explore
And it evaluates the goodness of its behaviors, based
on how much reward is getting
and:
π(a ∣ s) = P (a ∣ s)  ∀s ∈ S
(s) = [ ∣ ]vπ Eπ ∑
t
γ
t
Rt St
def value(state):
"""
Black magic
"""
return v
def policy(state):
"""
White magic
"""
return reasonable_actions
Policy IterationPolicy Iteration
#TODO @Manuel: Add code here
Policy ImprovementPolicy Improvement
1. Plan in the future
2. Try new actions
Monte-Carlo Tree SearchMonte-Carlo Tree Search
MCTS is an algorithm to perform sampling based
lookahead search.
With the backup operation we keep track of:
N(s,a) visit count
Q(s,a) mean action value
ExplorationExploration
Bandits
ϵ − greedy
Q(s, a) + cP (s, a)
N(s,b)∑
b
√
1+N(s,a)
Policy EvaluationPolicy Evaluation
Self PlaySelf Play
How well am I doing?
1. Clone yourself and ght!
2. As the Yous battle, observe the ght
3. Use those experiences to improve further
How is it implemented in python?How is it implemented in python?
def play_against_yourself(game, player_mcts):
...
board = game.reset()
while not terminal:
act = player_mcts.pick_move(board)
board, r, terminal, opp_act = game.step(action)
training_samples.append((board, player_id, act))
training_samples.append((board, opp_id, opp_act))
return training_samples
To the code!To the code!
main: https://gist.github.com/manuel-
delverme/36f9fd220989903274c4badf83c0f880
The deeper side of RLThe deeper side of RL
In AlphaZero we want to classify cats nd the best
moves
π(s) and v(s)
The superstar of the newtorkThe superstar of the newtork
Deep Learning - where are theDeep Learning - where are the
layers? 1/523layers? 1/523
Deep Learning - where are theDeep Learning - where are the
layers? 2/523layers? 2/523
it's-going-to-take-a-while 3/523it's-going-to-take-a-while 3/523
it's-going-to-take-a-while 4/523it's-going-to-take-a-while 4/523
it's-going-to-take-a-while 4/523it's-going-to-take-a-while 4/523
lol joking/523lol joking/523
fast forwarding...
network heads/523network heads/523
value headvalue head
policy headpolicy head
Loss function - what makes theLoss function - what makes the
model happy?model happy?
(z − v(s) − π log p + c||θ||)
2
To the code!To the code!
train: https://gist.github.com/manuel-
delverme/a1b6b93bd5b4d607920b045b039fcb98
Q&AQ&A
ContactsContacts
manuel.delverme@gmail.com
simone.totaro@gmail.com
Thank you!Thank you!
github/mosc

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