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A	simple	neural	network	module	
for	relational	reasoning
2017/11/20
Ken	Maeda
Yamaguchi	Lab.
The	University	of	Tokyo
2
•
A	simple	neural	network	module	for	relational	reasoning
(Relational	Networks	/	RNs)
•
Adam	Santoro	,	David	Raposo ,	David	G.T.	Barrett,	Mateusz	Malinowski,	Razvan
Pascanu,	Peter	Battaglia,	Timothy	Lillicrap
•
2017/6/5	on	arXiv (https://arxiv.org/pdf/1706.01427.pdf)
3
• Relational	Reasoning	( )
•
• Neural	Network
• RN
• DL
• 4
• CLEVR,	Sort-of-CLEVR,	bAbI,	Dynamic	physical	systems
4
Relational	Reasoning
•
•
5
• Non-Relational	Question:	
• Relational	Question:
Relational	Reasoning
•
• Symbol	Grounding	problem
•
•
• CNN MLP
6
Relational	Network
• NN
•
• NN
7
Relational	Network
• NN
•
• NN
8
MLP
relation
2
end-to-end
RN 3
• (Learn	to	infer	relations)
•
→RN
→RN
• (Data	efficient)
• !"
• !" =	
• #2
• (Operate	on	a	set	of	objects)
• (summation	Σ )
→
9
(1/4)
1. CLEVR
• 3D QA
• querry attribute,	compare	attribute,	…
• 2
1) pixel	version
2D	pixel	form
2) state	description	version
3D …
10
CLEVR( )
(2/4)
2. Sort-of-CLEVR
• CLEVR
• 6
• relational/non-relational 10
11
Sort-of-CLEVR
2
(3/4)
3. bAbI
• QA
•
20
• Ex:	“Sandra	picked	up	the	football”	and	
“Sandra	went	to	the	office”	
Q:	“Where	is	the	football?”
A:	“office”
12
(4/4)
4. Dynamic	physical	systems
• MuJoCo ( )
•
•
•
( )
13
(1/4)
• RN CNN LSTM
•
14
CLEVR
RN
CLEVR
(2/4)
• pixel( ) - CNN	-
• 128 128
• 4 d d k
• d d k
RN ( )
•
•
• RN
15
(3/4)
• RN	- LSTM	-
• ! RN
• Ex.
•
16
LSTM
(4/4)
• - LSTM	-
• 20
LSTM
•
• LSTM RN
17
RN
bAbI
bAbI
(CLEVR-from-pixels)
• Image:	4	CNNs	(24	kernels	each),	ReLU,	batch	normalization
• Question:	128	unit	LSTM,	32	unit	look-up	embeddings
• !:	4-layer	MLP (256	units	each),	ReLU
• $:	3-layer	MLP	(256,	256[50%	dropout],	29),	ReLU
• final	layer:	softmax over	the	answer	vocab
• Learning	rate:	2.5e-4,	Adam,	cross-entropy
• Training:	64	mini-batches,	10	computers
CLEVR
18Appendix
(CLEVR-from-pixels)
• 95.5%
• 27%
19
SA	:	Zichao Yang,	Xiaodong He,	Jianfeng Gao,	Li	Deng,	and	Alex	Smola.	Stacked	attention	networks	for	
image	question	answering.	In	CVPR,	2016.	16
(CLEVR-from-pixels)
• compare count
•
•
20
• ( )
•
21
( )
• CLEVR(from	state	descriptions):	96.4%
• RN
• Sort-of-CLEVR:	94% ( )
• RN MLP (63%)
• ”closest-to” ”furthest-to” (52.3%)
→
RN
22
( )
• bAbI:	18/20( 95%)
• Dynamic	physical	systems
1) :	93%
2) :	95%
• MLP
23
• RN
24
• RN CNN
• ResNet
• RN
• RN
• RN
•
• RN
25
https://github.com/whiteking64/Relational_Networks
• Sort-of-CLEVR p.12
• DL Pytorch
• CNN_MLP
26
• 10000 200
• 75x75
• Relational/Non-relational 10
• 3
• Relational	Question
• Non-relational	Question /
• 11
27
(RN )
•
• CNN,	4 ( 32,	64,	128,	256)
• ReLU
• Batch	Normalization
•
• RN ( embedding )
28
(RN )
• MLP	-!-
• 4 ( 2000	units)
• ReLU
• MLP	-$-
• 4 (2000,	1000,	500,	100	units)
• ReLU
•
• 10	units(answer	vector )
• softmax
•
•
• Adam
• :	1e-4
• :	64
29
iPython notebook
30
https://github.com/whiteking64/Relational_Networks/tree/master/Python_ver
(1/2)
• 20epoch
2epoch …!
•
•
• Epoch1 48%,	50%
• Epoch2 63%,	63%
31
(2/2)
• CLEVR (20	epochs)
• Relation	accuracy:	88%
• Non-relation	accuracy:	99%
accuracy
• [1]
• Relation	accuracy:	88%
• Non-relation	accuracy:	99%
32
[1]	
https://github.com/kimhc6028/relational-networks
33
34

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