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SP
0 1
0 1
CLASS 1
10 1520 1230 1640 1 050 0060 1470 03
40 1 050 0060 1470 03
H 0 00H 1
3 0H
40 1 050 0070 03
H 0 00H 1
3 0H
10 1520 1230 16
60 14
11
0010
1
1H 215H
(a) LR
LR
LR
LR
0.490.43
0.340.21
0.400.49
0.430.49
CM
CM
gini_split
gini_split
2 31 1
0 33 1
0 13 3
3 40 0
LR
2 41 0
LR
1 35 4
LR
0 23 2
LR
0 03 4
gini_split
CM
C
0.34
rid cidvalue
B
3 20 2
0 1
A < 35
CLASS 0 CLASS 1
B
Avalue rid cid
B=H B=C
B
A B
BA
(b)
cid : class label
SP : split pointrid : record id
R : right child (child 1)
CM : count matrix
A B
A
01234 56
Arid50
2040
601030
70
B cid
HHHC
CH
H
6 1C15H1
3 0H1H 2
4C
0H 1H 0 0
H
14C
14C
6 1C
L : left child (child 0)
value rid cid value rid cid
5 1 010 8 115 4 020 6 025 2 030 0 135 3 1
740 0545 1
15 4 020 6 025 2 0
10 8 15 1 0
6 0 11 012
1818024 60430
36 3 10242
054 7
1 0121818024 604300242
30 0 135 3 1
740 0545 1
6 0 136 3 1
054 7
rid : record idcid : class label
SP : split point
P1
P0 P0
P1P1
B2
B1 B2
P0SP
SP
B1 < 12.5
B1 < 27.5
P1
P0P1
P0B1 B2
P0
P1
B1
B2 < 51.0
1548
1548
Agerid cidvalue
P0
P1
P2
3840
58
13
4 70
00011
10
070
50
33282419 2
58
6
1
SP
24542 0098816 33 0149241 192
3 126146 384 94766 505678 64911
15303213683897672 24
405828
0
11
0
110
70Salary Age cidrid
-01234 5678
--------
(0,L) (2,L) (2,L)
comm
P0
P1
P2
P0
P1
P2
(1,L)
(1,L) (2,L) (0,R)
(2,L) (0,R) (1,R)
(0,L) (2,L)
comm
P0
P1
P2
P2P1P0
P2P1P0
P2P1P0
P0
P1
P2
L
R
L L
L L
R RL
comm
P0
P1
P2
P2P1P02 5 8
1 3 6
0 4 7
P2P1P0
P0
P1
P2
Salaryvalue rid cid
P0
P1
P2
0
1
1368387
245424924164911947669767298816
12614663
54 820 0
1
000111
P0
P1
P2
Node Tablekidrid
(b)(a)
153032
(c)
(d)
P0
(0,R) (0,R) (1,R)
(1,L) (2,L)
P1 P2
P1P0
P2
(1,L)1 2 3 4 5 6 870
L L L L L LR R R
P0 P1 P2
rid
kid
Node Table
hash buffers
update
8 6 7
4 5 3
0 2 1
retrieve
intermediate value buffers
L
R
L L
L R
L RL
result buffers
2 2 2
1 0 0
0 1 1
rid : global record idcid : class label
SP : split pointPi : Processor i
kid : child number
R : right child (child 1)
enquiry buffers intermediate index buffers
2 1 0
2 0 1
2 0 1
L : left child (child 0)
value rid cid value rid cid
5 1 010 8 115 4 020 6 025 2 030 0 135 3 1
740 0545 1 063 6
01561849
42 2 00735
28 5 11021
4 0147 3 1
15 4 020 6 025 2 0
10 8 15 1 0 4 014
42 2 018490156063 6
30 0 135 3 1
740 0545 1
7 3 11021
28 5 10735
P1
P1
P0
P0B1 B2
SP
P1
P0 P0
P0
P1
P1P1
B1 B2
B1 B2
P0SP
SP
B2 < 31.5B1 < 12.5
B1 < 27.5
CLASS 0
CLASS 1Age < 21
CLASS 1
0
1
64911947669767298816
54 8
000
24542 0 0
Salary
P1
P0
1
00033
2824 5
8
50 4 00070
Age
P0
P2
P1
Age
584038
7 163 1
1
P2
P1
Salary
153032136838126146
763 1
11
P2
Salary49241 2 1 P0
Age19 2 1 P0
Age
1
00033
282419 2
58
1
50 4 00070
Salary
0
1
245424924164911947669767298816
54 820 0
1
000
P0 P0
P1P1
P2
Salary < 112481
Agerid cidvalue
P0
P1
P2
3840
58
13
4 70
00011
10
070
50
33282419 2
58
6
1
Salaryvalue rid cid
P0
P1
P2
0
1
1368387
245424924164911947669767298816
126146
15303263
54 820 0
1
000111
SP3 32 1
0 05 4
23 3
1
LR
0 10 0
12
LR
0 10 0
12
cid : class label
SP : split pointrid : record id
Pi : Processor i
R : right child (child 1)L : left child (child 0)
kid : child number
P0
P0
P1
P1
P2
P2
SP
Node Tablekidrid
Node Table
01234 5678
LR
RRRRRR
R
01234 5678
LLL
LL
L
R
R
R
Count Matrices
LR
LR
0 1
LR
LR
0 1
LR
0 1
0 1 0 1local global
0 02 1
01 2
0
0
20
40
60
80
100
120
0 20 40 60 80 100 120 140
Para
llel R
untim
e (
Seconds)
Number of Processors
0.2m0.4m0.8m1.6m3.2m6.4m
0
20
40
60
80
100
0 20 40 60 80 100 120 140
Para
llel R
untim
e (
Seconds)
Number of Processors
100 k/proc50 k/proc25 k/proc
12.5 k/proc6.25 k/proc
3.125 k/proc
0
5
10
15
20
0 20 40 60 80 100 120 140Mem
ory
Requirem
ents
per
pro
cessor
(in m
illio
n b
yte
s)
Number of Processors
0.2m0.4m0.8m1.6m3.2m6.4m
(a) (b)
(c)
X : Salary : Node Table Entries: Age
0
1
2
3
4
5
6
7
8
0 1 2 3 4 5 6 7 8
P1
P0
P2
X
X
X
X
X
X
X
X
X
