Table 4.
BN directed system graphs.
| BN General Graph | Predictively Equivalent Simpler Graph | Specific Graph Example RA Notation |
Specific Graph Example Probability Distribution |
|---|---|---|---|
| BN1 | BN12 | ABCZ | p(Z|ABC)p(C|AB)p(B|A)p(A) |
| BN2 |
BN7
BN17 |
ABZ:BCZ
ABC:BCZ |
p(C|BZ)p(Z|AB)p(A|B)p(B) p(Z|BC)p(B|CA)p(A|C)p(C) |
| BN3 | BN12 | ABCZA:B | p(Z|ABC)p(C|AB)p(A)p(B) |
| BN4 | BN12 | ABCZAC:BC | p(Z|ABC)p(A|C)p(B|C)p(C) |
| BN5 |
BN13
BN19 |
ACZ:BZ
ABC:CZ |
p(Z|AC)p(B|Z)p(C|A)p(A) p(Z|C)p(B|CA)p(C|A)p(A) |
| BN6 | BN12 | ABCZBC:A | p(Z|ABC)p(B|C)p(C)p(A) |
| BN7 | BN17 |
BCZ:ABZA:B BCZ:ABCA:C |
p(C|BZ)p(Z|AB)p(B)p(A) p(Z|BC)p(B|CA)p(C)p(A) |
| BN8 | BN17 | ABCB:C:BCZB:C | p(Z|BC)p(A|BC)p(B)p(C) |
| BN9 | BN17 | BCZ:ABCAB:AC | p(Z|BC)p(B|A)p(C|A)p(A) |
| BN10 | BN17 | BCZ:A | p(Z|BC)p(B|C)p(C)p(A) |
| BN11 | BN19 |
AZ:BZ:CZ AC:BC:CZ |
p(A|Z)p(B|Z)p(C|Z)p(Z) p(Z|C)p(B|C)p(C|A)p(A) |
| BN12 | ABCZA:B:C | p(Z|ABC)p(A)p(B)p(C) | |
| BN13 |
BN19 | ACZA:C:BZ ABCA:B:CZ |
p(Z|AC)p(B|Z)p(A)p(C) p(Z|C)p(C|AB)p(A)p(B) |
| BN14 |
BN16
BN19 |
AB:BZ:CZ
AB:BC:CZ |
p(Z|B)p(C|Z)p(B|A)p(A) p(Z|C)p(B|A)p(A)p(C|B) |
| BN15 |
BN17
BN19 |
BCZB:C:AB
ABCA:C:CZ |
p(Z|BC)p(A|B)p(B)p(C) p(Z|C)p(B|CA)p(A)p(C) |
| BN16 |
BN19 | BZ:CZ:A BC:CZ:A |
p(B|Z)p(C|Z)p(Z)p(A) p(Z|C)p(C|B)p(B) |
| BN17 | BCZB:C:A | p(Z|BC)p(B)p(C)p(A) | |
| BN18 | BN19 | AB:CZ | p(Z|C)p(B|A)p(A)p(C) |
| BN19 | CZ:A:B | p(Z|C)p(C)p(A)p(B) | |
| BN20 | A:B:C:Z | p(Z)p(A)p(B)p(C) |