M INING FREQUENT TRAJECTORY PATTERNS IN SPATIAL - TEMPORAL DATABASES Anthony J.T. Lee, Yi-an Chen,...

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MINING FREQUENT TRAJECTORY PATTERNS IN SPATIAL-TEMPORAL DATABASES

Anthony J.T. Lee, Yi-an Chen, Weng-Chong Ip

Department of Information Management, National Taiwan University, No. 1,section 4, Roosevelt Road, Taipei 10617, Taiwan, ROC

Information Science 179(2009) 2218-2231

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Data mining

Apriori Sequence TrajectoryTID Itemset

1 〈 a(bc)d〉2 〈 (ad)ca〉3 〈 (ab)cb〉

TID Itemset

1 (1, 2), (2, 2), (3, 1)

2 (1, 1), (1, 2), (2, 3)

3 (1, 1), (1, 2), (1, 3)

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TID Itemset

1 〈 a(bc)d〉2 〈 (ad)ca〉3 〈 (ab)cb〉

生態候鳥遷徙的路徑分析、了解習性、保護

交通車子最常走的路徑提供資訊

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軌跡

TID Itemset

1 (1, 2), (2, 2), (3, 1)

2 (1, 1), (1, 2), (2, 3)

3 (1, 1), (1, 2), (1, 3)

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GBM ( graph-based mining ) Graph database

(x, y, t) Max time span

TID Trajectory

1 (1,1,1), (1,2,2), (2,2,3), (2,3,5), (3,4,6), (3,5,8)

2 (1,3,2), (1,2,4), (2,2,5), (2,3,7), (3,4,8), (3,5,10)

3 (1,3,3), (1,2,4), (2,2,7), (2,3,10), (3,4,13), (2,5,15), (1,5,16)

4 (2,1,1), (2,2,4), (2,3,7), (3,4,10), (2,5,12)

5 (1,1,5), (1,2,6), (2,2,7), (2,3,9), (3,4,10), (3,5,12)

6 (2,1,4), (2,2,5), (2,3,8), (3,4,11), (2,5,13), (1,5,14)

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Representaion

Trajectory pattern : <(1,1)2(2,2)2(2,3)>

(1, 1, 3)

(2, 2, 5)

(2, 3, 7 )

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Graph-based mining (GBM) Scan database TI-list

Min-sup =50 % ; max time span = 3 ; 55

TID Trajectory

1 (1,1,1), (1,2,2), (2,2,3), (2,3,5), (3,4,6), (3,5,8)

2 (1,3,2), (1,2,4), (2,2,5), (2,3,7), (3,4,8), (3,5,10)

3 (1,3,3), (1,2,4), (2,2,7), (2,3,10), (3,4,13), (2,5,15), (1,5,16)

4 (2,1,1), (2,2,4), (2,3,7), (3,4,10), (2,5,12)

5 (1,1,5), (1,2,6), (2,2,7), (2,3,9), (3,4,10), (3,5,12)

6 (2,1,4), (2,2,5), (2,3,8), (3,4,11), (2,5,13), (1,5,14)

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(T1,1) (T5,5)

(T1,2)

(T2,4)

(T3,4)

(T5,6)

(T2,2) (T3,3)

(T3,16)

(T4,14)

(T4,1) (T5,4)

(T3,15)

(T4,12)

(T6,13)

(T1,8)

(T2,10)

(T5,12)

(1,1)

(1,2)

(1,3)

(1,5)

(2,1)

(2,2)

(2,3)

(2,5)

(3,4)

(3,5)

(T1,3)

(T2,5)

(T3,7)

(T4,4)

(T5,7)

(T6,5)

(T1,5)

(T2,7)

(T3,10)

(T4,7)

(T5,9)

(T6,8)

(T1,6)

(T2,8)

(T3,13)

(T4,10)

(T5,10)

(T6,11)

TID Trajectory

1 (1,1,1), (1,2,2), (2,2,3), (2,3,5), (3,4,6), (3,5,8)

2 (1,3,2), (1,2,4), (2,2,5), (2,3,7), (3,4,8), (3,5,10)

3 (1,3,3), (1,2,4), (2,2,7), (2,3,10), (3,4,13), (2,5,15), (1,5,16)

4 (2,1,1), (2,2,4), (2,3,7), (3,4,10), (2,5,12)

5 (1,1,5), (1,2,6), (2,2,7), (2,3,9), (3,4,10), (3,5,12)

6 (2,1,4), (2,2,5), (2,3,8), (3,4,11), (2,5,13), (1,5,14)

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(1,2)

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(T1,2)

(T2,4)

(T3,4)

(T5,6)

(T3,15)

(T4,12)

(T6,13)

(T1,8)

(T2,10)

(T5,12)

(1,2)

(2,2)

(2,3)

(2,5)

(3,4)

(3,5)

(T1,3)

(T2,5)

(T3,7)

(T4,4)

(T5,7)

(T6,5)

(T1,5)

(T2,7)

(T3,10)

(T4,7)

(T5,9)

(T6,8)

(T1,6)

(T2,8)

(T3,13)

(T4,10)

(T5,10)

(T6,11)

(1,2)1(2,2)

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(1,2)(1,2)1(2,2)

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(T1,2)

(T2,4)

(T3,4)

(T5,6)

(T3,15)

(T4,12)

(T6,13)

(T1,8)

(T2,10)

(T5,12)

(1,2)

(2,2)

(2,3)

(2,5)

(3,4)

(3,5)

(T1,3)

(T2,5)

(T3,7)

(T4,4)

(T5,7)

(T6,5)

(T1,5)

(T2,7)

(T3,10)

(T4,7)

(T5,9)

(T6,8)

(T1,6)

(T2,8)

(T3,13)

(T4,10)

(T5,10)

(T6,11)

(1,2)1(2,2)2(2,3)

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(1,2)(1,2)1(2,2)(1,2)1(2,2)2(2,

3)

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(T1,2)

(T2,4)

(T3,4)

(T5,6)

(T3,15)

(T4,12)

(T6,13)

(T1,8)

(T2,10)

(T5,12)

(1,2)

(2,2)

(2,3)

(2,5)

(3,4)

(3,5)

(T1,3)

(T2,5)

(T3,7)

(T4,4)

(T5,7)

(T6,5)

(T1,5)

(T2,7)

(T3,10)

(T4,7)

(T5,9)

(T6,8)

(T1,6)

(T2,8)

(T3,13)

(T4,10)

(T5,10)

(T6,11)

(1,2)1(2,2)2(2,3)1(3,4)

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(1,2)(1,2)1(2,2)(1,2)1(2,2)2(2

,3)(1,2)1(2,2)2(2,3)1(3,4)

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(T1,2)

(T2,4)

(T3,4)

(T5,6)

(T3,15)

(T4,12)

(T6,13)

(T1,8)

(T2,10)

(T5,12)

(1,2)

(2,2)

(2,3)

(2,5)

(3,4)

(3,5)

(T1,3)

(T2,5)

(T3,7)

(T4,4)

(T5,7)

(T6,5)

(T1,5)

(T2,7)

(T3,10)

(T4,7)

(T5,9)

(T6,8)

(T1,6)

(T2,8)

(T3,13)

(T4,10)

(T5,10)

(T6,11)

(1,2)1(2,2)2(2,3)1(3,4)2(3,5)

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(1,2)(1,2)1(2,2)(1,2)1(2,2)2(2,

3)(1,2)1(2,2)2(2,3)1(3,4)(1,2)1(2,2)2(2,3)1(3,4)2(

3,5)

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<(1,2)>, <(2,2)>, <(2,3)>, <(3,4)>, <(2,5)>, <(3,5)>,<(1,2)1(2,2)>, <(2,2)2(2,3)>, <(2,2)3(2,3)>, <(2,3)1(3,4)>, <(2,3)3(3,4)>, <(3,4)1(3,5)>, <(3,4)2(2,5)>, <(1,2)1(2,2)2(2,3)>, <(2,2)2(2,3)1(3,4)>, <(2,2)3(2,3)3(3,4)>, <(2,3)1(3,4)2(3,5)>, <(2,3)3(3,4)2(2,5)>, <(1,2)1(2,2)2(2,3)1(3,4)>, <(2,2)3(2,3)3(3,4)2(2,5)>, <(2,2)2(2,3)1(3,4)2(3,5)>, <(1,2)1(2,2)2(2,3)1(3,4)2(3,5)>