Title: Bayesian Network???? ??????????????? ????????
1Bayesian Network???????????????????????????
- ????? ??? ?????
- ?????? ??????
- 2002??724?
- ?? ??
2????
??????????(??)?
LSI???
?????
?????? ????
????????
??????????????(SA,GA?)????????
3?????????
Genetic Algorithm(GA)
?????????????????
???????????????? (????)
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???????????????????? (????)
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?????????????? (????)
????
???????????????????????
???
????????????????????????? ??????????? 97 Annie
4?????????????
?)?? f (x,y,z 0?x , y , z ? 10 ) ??????
???????? ???????????????? (???????)
f (x,y,z) x y z
x0??y0?????? x?0??y????????? x?y????????
f (x,y,z) 2x - xy y z
5?????????????
?)?? f (x,y,z 0?x , y , z ? 10 ) ??????
???????? ???????????????? (???????)
f (x,y,z) x y z
x0??y0?????? x?0??y????????? x?y????????
f (x,y,z) 2x - xy y z
GA??????
???1
???????????
x
y
z
???2
x
y
z
6?????????????
?)?? f (x,y,z 0?x , y , z ? 10 ) ??????
???????? ???????????????? (???????)
f (x,y,z) x y z
x0??y0?????? x?0??y????????? x?y????????
f (x,y,z) 2x - xy y z
GA??????
x
y
z
???1
x
y
z
x
y
z
???2
x
y
z
7?????????????
?)?? f (x,y,z 0?x , y , z ? 10 ) ??????
???????? ???????????????? (???????)
f (x,y,z) x y z
x0??y0?????? x?0??y????????? x?y????????
f (x,y,z) 2x - xy y z
???????????
???1
x
y
z
???2
x
y
z
???????????
8???????????
??????????????????????????????
x ? y ????????????
???????????
?????????????,??????????????????
9????????????????
10??????????????
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??????????????????????
??????
11??????????????
Probabilistic Model Building Genetic
Algorithm (PMBGA,?????GA)
(1)?????????????
?????
?? (???)
(2)????????
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(4)????????????
(3)????????
??????????,????????????????
12????
????????????????????GA 99 Pelikan
???????????0,1??????
- ???????????????????
- ?????????
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13????
???????
2
0
1
1
0
1
2
1
1
??????3????????????
??????????????0,1,2?3??
ui 3????i???????
??????????0,1???
3???2???????
14???????????
???????
?
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2 ??? 3??????2????????? ?????2????????????
2 ?0??? 3??????1???????
?????1????????????
???
?
????????????3???2?????
15?????
??? 300i (i110)
???? 30(10??????)
????? 50
????? 50
???? 1000?????? ????95??????????
??????????? 2
????? 0
???? 30
16????
- ???????????
- ??????????????????????
17??
??????????????????? ???????????,???????????
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????????????????????
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?????
GA????????????????, ???????????????????
?????????????????
18???????
??????????????????????
Xa
Xb
Xc
Xa
Xb
Xc
????????????????,?????????? ???????????????
19???GA????????
??????????????????????
Xa
Xb
Xc
1
1
1
20????????????
????????? ???????,???????????????
Xa
Xb
Xc
21???????
??? 300i (i110)
???? 30
????? 50
????? 50
???? 1000??
??????????? 2
????? 1/30(1/????)
???? 30
22????
???????
????????
????????????,??????????
23???
????????????????????GA
?????????????????????????
????????????????????
????????????????
????????????????????????? ????????????????????????
?
?????
???????????????????
24????
25????
26????
??????????? ?????????????????????????
??? 300 600 900 1200 1500 1800 2100 2400 2700 3000
???? 30 30 30 30 30 29 26 26 26 25
27????
???????????,?????????????????
02?????????????
????
???
0 ? 00 1 ? 01 2 ? 10
???????0?????????0,1 ???????1?????????1
????????????
????????
?00???,???????????????????????? ???????,??????????
?????????
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28??????????????
3?????????????? ????????????????????
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??????? ????????????????
????????????????????????
29?????????????(?????)
???????,???????????
????
???
??????????
12150 000,111,111,111,111,111,111,111,111,111
9.9 9000 111,111,111,111,111,111,111,111,000,111
9.9 9900 111,111,111,111,111,111,111,111,111
,000 9.9 9450 111,111,000,111,111,111,111,111
,111,111 9.9
?????????
????
???
???
??????????
180000 000,111,111,111,111,000,111,111,111,111
9.8 18 180450 111,111,111,111,000,000,111,11
1,111,111 9.8 79
30???????????????
K2 metric
K2 metric??????????????
????????????? ??????????????????????????
313????2???????
?????????????(CPT)????? CPT??????????????? X1?????
?????
X1
X2
X3
X1???????
P(X1)0 P(X1)1 P(X1)2
323????2???????
?????????????(CPT)????? CPT??????????????? X1?????
?????
X1
X2
X3
X2???????
X1 P(X2)0 P(X2)1 P(X2)2
0
1
2
333????2???????
?????????????(CPT)????? CPT??????????????? X1?????
?????
X1
X2
X3
X3???????
X1 X2 P(X2)0 P(X2)1 P(X2)2
0 0
0 1
0 2
2 2 ? ? ?
343????2???????
?????????????(CPT)????? CPT??????????????? X1?????
?????
X1
X2
X3
X1???????
P(X1)0 P(X1)1 P(X1)2
?
X3???????
X1 X2 P(X2)0 P(X2)1 P(X2)2
0 0
0 1
0 2
2 2 ?
X2???????
X1 P(X2)0 P(X2)1 P(X2)2
0
1
2
X12??????????????2?????????
35?????????
????300??????1????
????? 111,111,111,111,222,111,111,111,111,000
4500(15030)????,2???????3????????
36????(?????????1)
???????
????????
??????????????,??????????
??????????
37????????????????
???????????
3????? ??????????????
X1
X2
X3
??????2??????2?? 2????????????
2
2
2
??????0?1??? ???2???0,1??????????
0
1
0
???????????????????? ???????????
38???????????????
????300??????1????
??????3??????2????????????? 2????????
39???GA????????
???????????????? ???????,???????????????
2
2
2
1
1
1
X1
X2
X3
X4
X5
X6
40???GA????????
???????????????? ???????,???????????????
2
2
2
2
1
1
X1
X2
X3
X1
X2
X3
X4
X5
X6
X4
X5
X6
???????????????????????
41???GA????????
???????????????? ???????,???????????????
2
2
2
1
1
1
X1
X2
X3
X4
X5
X6
42???GA????????
???????????????? ???????,???????????????
2
2
2
2
1
1
X1
X2
X3
X1
X2
X3
X4
X5
X6
X4
X5
X6
???????????????????????
43????????????
????????? ???????,???????????????
X1
X2
X3
X1
X2
X3
X4
X5
X6
X4
X5
X6
???????????????????????
???????????????????????
44???GA????????
???????????????? ???????,???????
Za
Xb
Xc
Xd
1
2
1
1
????????????????????????
???????????????????1????????
45????
??????????????(BOA)99 Pelikan
?????????????????
????????? ???????????????????
??????????,?????????????????
???????????
???????????????????? ????????????????
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46(No Transcript)