Hiroaki Shiokawa

Hiroaki Shiokawa
h
h
Research Interests
h c c
h d
DB w d
2011/4 2015/10 NTT
2015/11
(

l h h eFNK
– m k jGOL m
– k j
h
+

h
l h h
h
–
•
• KQOBKXU
•
C C
• GOL C C
–
• m
– j
• G
–
–

3 4
u r
h
h
,

h
l r w
-
h
B m k2×10%
GOL
m m j
GOL
D S]]O[k2×10&
6KMOL Uk5×10&
7 QVOk10(
j
m
10(
h ( / h
s v w vg

l C 6 h h
– ( , g7[K R 4K]Kg
– fA O[b [ MO SXQg
l C5j:A5 k
– ( g7[K R 1VQ [S]RW g
.

:A5 uz
l ,
– D + w x
–
– ( , , m
/

l h
–
h x
l v j k
– x m
• C C I J
• m I J

l
l y
l y
ü 9XM[OWOX]KV 1QQ[OQK]S X x
ü (R K Kb X NO x
ü
8 CRS UK K O] KV f6K ] 1VQ [S]RW P [ N VK[S]b LK ON
7[K R 3V ]O[SXQ g 9X [ M 1119 ( )
8 CRS UK K O] KV fC31 0 5PPSMSOX] 1VQ [S]RW P [ 6SXNSXQ
3V ]O[ 8 L KXN ]VSO[ X K[QO MKVO 7[K R g F 42 ( +

l w e w
s )
– y h
y
– )(+,) x
–
• x
• x
RW L] ?X URaNM 5] ICRS KXN KVSU D 1 9e J
(

XM]U R
l
– 5 : O WKX KXN 7S[ KX f6SXNSXQ KXN O KV K]SXQ M WW XS]b
][ M] [O SX XO] [U g ,/ (, ) (
)
. = 0
122
23
−
52
23
6
2∈9
: x
:

XM]U R
b 1 * ) ( (
( ( 1(
1
b 1 - ) * (
1,
2
4 w r r w v
1 2

r
l
– m h
x
+
i
(
∑ %
<
%
<=> = 127
• h w t
w w r
)
∑ ∑ %
<
%@<
A=>
%@<
A
%
<=> = 1932

l v XM]U R
l XM]U R w y
– SX Ka [WKVScON M ] x
– D(EF) x
R W ?N W H R W N U ) +I
-

m
m
m
R W ?N W I J
?N W I J
5? I J
y
N VK[S]b
m m O WKX
XM]U R
.

l o h XM]U R
XM]U R P RW ∆H
l ∆H h
l ) +I )(J log +)
?N W 5?
∆.2A = 2{2312A − 525A}
N VK[S]b QKSX
. = 0
122
23
−
52
23
6
2∈9
N VK[S]b
/

m
m
m
m
R W ?N W I J
?N W I J
5? I J
y
N VK[S]b
m m O WKX
=X] RW I J
m
v y r
XM]U R
(

l XM]U R w
m k m m
• h h m N VK[S]b
ʼ m
( m k m
• h
l D(Q) “ x
=X] RW
)
(
(
(
,
m ( m
(
(

m
m
m
m
R W ?N W I J
?N W I J
5? I J
y
N VK[S]b
m m O WKX
=X] RW I J
m
v y r
XM]U R
o
m
WL N NW U 3PP NP RXW
o( m
=X] RW (
((

l h w
– AX N =
–
WL N NW U 3PP NP RXW I J
AX N =
m x ʼ m m h
ʼ m
x
r
x
()

l WL N NW U 3PP NP RXW
–
– AX N =
WL N NW U 3PP NP RXW I J
(

t
l w h
– m h
ʻ h m
(
(
m
k (
k
(+

AX N U t
l r h
– m m x m
ʻ
A
5 6
B
p h 3 4w
h 3v
h 4v
)
(
r h 4
sw w r
A
5 6
(
( m 1j2 h
w
(,

h
l h
– C]KXP [N O] [U 1XKVb S [ TOM] ” KL [K] [b P GOL
1VQ [S]RW + m
l
– SX a ( , . O[ O[
– 9X]OV HO X 3 E +, ( (-78c KXN 72 B1
– C]K]O P ]RO K[] 27 h3
Dataset |V| |E| Skewness of
degree distribution
dblp 326,186 1,615,400 2.82
live 5,363,260 79,023,142 2.29
uk-2005 39,459,925 936,364,282 1.71
webbase 118,142,155 1,019,903,190 2.14
uk-2007 105,896,555 3,738,733,648 1.51
(-

l 4 == -
– [ ON SWS]ON (
– x x
(f
(.
) ( m
m
+,

l 4 ==
)f
(/
MKU UR N ]T ) , NKK [N ]T ) .
WL N NW U
PP NP RXW
/ - /. /. /-
4 == .. - /- /, /-
5? .(

l BN[XU] RXW =R R H8XU ]W X ) /I
– x
ʼ
– xh
7[ XN ][ ]R I J
y
)
. = 0
122
23
−
∑ 12AA∈9
23
6

2∈9
h
ʼ x

l
)(
l y
l y
ü (R K Kb X NO x
ü
7[K R 3V ]O[SXQ g 9X [ M 1119 ( )

y 0C53? IH J
l r h c
– m
C][ M] [KV SWSVK[S]b
m
9
7
8 6
3
4
0
5
2
1
10
11
12
13 mm
))

C ]L ] U [R RU R
l h
6
3
0
2
1
4 5
“ h Γ S = {T ∶ S, T ∈ W} ∪ {S}Y S, T =
|Γ S ∩ Γ(T)|
Γ S |Γ(T)|
y c
m +
1
ʻʻ
)

1 y h h
n h h
6
3
0
2
1
4 5
6
3
0
2
1
4 5
y h
6
3
0
2
1
4 5
h
l y h h m LX N
l h h m KX MN
)+

LX N KX MN
l LX N 0 h ]
l y h h m LX Nl y h h m LX N
]
x
x ^ z m x
),

k = _. a, ] = I
6
3
0
5
2
1
4
-.
6
0
5
2
1
4
3
-.
6
0
2
1
4
3
5
)-

LX N KX MN
l LX N 0 h ]
l KX MN
– M [O ^ m
l y h h m LX Nl y h h m LX N
]
x
x ^ z m x
l C53? c h , ] t v
LX N KX MN z
).

C53? IH 44( -J r
l 0 w r
l j k
x
•
( m x
• ^ h m
C53?
C53? w v r C53? X]WM ]
r
)/

C53? “ r
C53? IH 44 ( -J
h h
CLX :RW 5U][
I2 []XO[ 9345 ( J
PCTNUN XW5U]
I8 KXQ D 45 ( )J
m
m
=RWTC53?
I SW 9345 ( J222
m ʼ
ʻ

C53?
C53? IH 44 ( -J
h h
CLX :RW 5U][
I2 []XO[ 9345 ( J
PCTNUN XW5U]
I8 KXQ D 45 ( )J
m
m
=RWTC53?
I SW 9345 ( J
C53?
ICRS UK K F 42 ( +J
l C53? c v r
– vC31

l

(
m
m
) h h
h M [O
l
u h
(

l h
∃c ∈ de ∩ df ∧ c :h ijk1 ↔ de ∪ df ⊆ ne
S T
de df
de ∩ df
S T
de ∪ df
ne
op ∩ oq
LX N
w
( m S, T m MKV MV ]O[ de, dfh
C31 m S ne h i
)

C53?
l D X [N
– ( m m
Phase 1: Local clustering
9
7
8 6
3
0
5
2
1
4
10
11
12
Phase 2: Cluster refinement9
7
8 6
3
0
5
2
1
4
10
11
12
9
7
8 6
3
0
5
2
1
4
10
11
12
Local cluster
D1B S ]
MKV MV ]O[
MKV MV ]O[
m

A [N ( 0 =XL U LU][ N RWP
l D3B r) h
– m V MKV MV ]O[
≥ _. a, ] ≥ I
6
3
0
5
2
1
4-.
6
3
0
5
2
1
4-.
D1B P
X NO
6
3
0
5
2
1
4-.
MKV MV ]O[
P X NO
l k( R K Kb [OKMRKLVO
m
X NO S (R
Y S, c ≥ ^ X NO c m
m S m T
m c MKV MV ]O[
P X NOK RMPN
+

A [N ) 0 5U][ N NORWN NW
l r=XL U LU][ N h
• MKV MV ]O[SXQ L[SNQO M [O
– 2[SNQO M [O V MKV MV ]O[ m
• L[SNQO M [O ][ M] [KV SWSVK[S]b
≥ _. a, ] ≥ I
6
3
0
5
2
1
4
MKV
MV ]O[
MKV
MV ]O[ (
X NO + M [O h
MKV MV ]O[ (
6 4
3
0
2
5
1
K RMPN
,

l CR RU R [ RWP
– D1B
l 3 L N R r
– ] RK O MV ]O[SXQ K BON MO m m
6
3
0
5
2
1
4
7
ks(,, t) CR RU R [ RWP
Γ 3 nΓ(0)m
Y(3,4) =
|v , ∩ v(t)|
Γ 3 |Γ(4)| 6
3
0
5
2
1
4
7
-

C53?
l
– C31 D(
6@w
6xyw
|W|)
• i hz
– ʼ
l
– C31 C31
•
.

(
l
– SX a ( , . O[ O[
– 9X]OV HO X 3 E +, ( (-78c
– 72 B1
l h
/

)
l
• C53?
– CSWSVK[S]b RK[SXQ h
• C53? I J
–
• C53? I J
– x C31
• PCTNUN XW5U] I J
– x m ^ C31
+

(f
l C53? C53? )
– x m x
– QCUOVO] X3V C31
+

)f
l C53? LX N 8
– C31 M [O x
+(

*f
l h
– ( m h
o ,
h 1 (
c
h 1 -
p
+)

*f
l h r
– x m
– x l(
m caveman model) LKVKXMON ][OO
+

l
++
l y
l y
ü (R K Kb X NO x
ü
7[K R 3V ]O[SXQ g 9X [ M 1119 ( )

z j( )k
l AE r
– CSXQVO 7 E
• I J
j x
j 7 E
– V]S 7 E
• I J
KLOV [ KQK]S X
KLOV [ KQK]S X 7 E
l uz
– I J
I2KO KXN 2SVV C3d +J
m m 7[K R KL x
+,
A 7D C
4 == ( 4 == ( 4 == Wi
4 ==

z j) )k
l ]U R 5AE r
– BKLLS] [NO[ I J
9XM[OWOX]KV 1QQ[OQK]S X I J
31C
l 5 3 r
– 8(.
s , t
+-
0
10
20
30
40
50
0
1
2
3
4
5
6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Read[GB/s]

W NU GNXW A R
– 9X]OV x m
• 3 XSQR] 3 [XO[ XSQR] VKXNSXQ (
• -(
• + ( C9 4
• x
+.
Knights Corner Knights landing

w
+/
• SCAN
•
•
Intel Xeon Phi
512 SIMD
• Xeon Phi
CPU / SIMD
Xeon E5 1620 3.5 GHz 4/8 256
Xeon Phi 7250 1.4 GHz 68/272 512
webbase2001

fC53? X N GNXW A R
,
Xeon Phi
SIMD , SCAN
Xeon Phi

,
• core
•
• SIMD
•
• Union-Find
• CAS
•
•
•
SCAN

,(
to 1 1
3
0
2
1
0 2 5 7 8
1 2 0 2 3 0 1 1
1
ptr
to
0 0 1 1 1 2 2 3from
CRS (Compressed Row Storage)
0 1 2 3
CRS
• CRS
• ptr from
• Xeon Phi

h h ( )
l h h [X N PN SXRW c
h
l C 6 [RWPUN RW[ ]L RXW ]U R UN M
,)
3 4 10 13 20 … end
2 3 11 13 43 … end
3 3 4 4
2 3 2 3
Equals
compare (4>3)
3 4 10 13 20 … end
2 3 11 13 43 … end
advance pointer

,
h h ) )
l h
– ʼ h ʼ
•
•
w v
3 4 10 13 20 … end 2 3 11 13 43 … end
3 3 3 3 2 3 11 13

l C53? LX Nv w
w
,+
6
3
4 5
0
2
1
Union-Find
2
10
3 5
4 6
Union-Find
• Compare and Swap
core
core
non-core

l C53? LX Nv w
w
,,
6
3
4 5
0
2
1
Union-Find
6
3
4 5
0
2
1
2
10
3 5
4 6
Union-Find
core
core0
1,4,5
core
non-core
2
1
0
3 54
6
Union-Find

l C53? LX Nv w
w
,-
6
3
4 5
0
2
1
Union-Find
6
3
4 5
0
2
1
6
3
4 5
0
2
1
2
10
3 5
4 6
Union-Find
core
core0
1,4,5
5 2
( )
core
non-core
2
1
0
3 54
6
Union-Find
2
1
0
3 54
6
Union-Find
CAS

,.
•
• SCAN CPU
• SCAN-XP CPU,KNC,KNL
•
- -
0 - 1,134,890 2,987,624
web-BerkStan 685,230 6,649,470
soc-Pokec 1,632,803 22,301,964
com-LiveJournal 3,997,962 34,681,189
soc-LiveJournal1 4,846,609 42,851,237
- 3,072,441 117,185,083
115,554,441 854,809,761
•
• CPU Xeon E5 1620 (3.5 GHz, 4 , 8 )
Memory 16 GB
• KNC Xeon Phi 3120A (1.10 GHz, 57 , 228 )
Memory 6GB
• KNL Xeon Phi 7250 (1.4 GHz, 68 , 272 )
Memory 16GB (MCDRAM) + 96GB (DDR4)

,/
100
36
!
better
N/A
Executiontime(ms,logarithmic)

5AE ?5 ?=
-
com-youtube
1
10
100
1000
10000
100000
Execution time (ms)
com-LiveJournal
1
10
100
1000
10000
100000
Execution time (ms)
com-Orkut
1
10
100
1000
10000
100000
Execution time (ms)
soc-LiveJournal1
web-BerkStan
1
10
100
1000
10000
100000
Execution time (ms)
1
10
100
1000
10000
100000
Execution time (ms)
1
10
100
1000
10000
100000
Execution time (ms)
soc-Pokecbetter
better
better
better
better
better
CPU KNC KNL
SCAN-XPSCAN
SCAN (Xeon,1) SCAN-XP(Xeon,1) SCAN-XP(Xeon,4) SCAN-XP(Xeon,8) SCAN-XP(KNC,57) SCAN-XP(KNC,114)
SCAN-XP(KNC,171) SCAN-XP(KNC,228) SCAN-XP(KNL,68) SCAN-XP(KNL,136) SCAN-XP(KNL,204) SCAN-XP(KNL,272)

• m m
–
– BOKV [VN [ O[]b z ʻ
-
• m
– HO X RS 7 E O]M
• m
– h h h h hp
l
– h
l W N N[ RWP NW A XKUN [

Hiroaki Shiokawa

Recommended

Recommended

More Related Content

What's hot

What's hot (20)

Similar to Hiroaki Shiokawa

Similar to Hiroaki Shiokawa (20)

More from Suurist

More from Suurist (14)

Recently uploaded

Recently uploaded (20)

Hiroaki Shiokawa