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Link prediction in complex networks has attracted much attention in recent years and most of work focuses on proposing more accurate prediction algorithms. In fact, “how difficultly the target network can be predicted” can be regarded as an important attribute of the network itself. In this paper it is intended to explain and characterize the link predictability of the network from the perspective of spectrum. By analyzing the characteristic spectrum of the network, we propose the network link predictability index. Through calculating the index, it is possible to learn how difficultly the target network can be predicted before choosing algorithm, and to solve the problem whether the network is unpredictable or the algorithm is inappropriate. The results are useful for the selecting and matching the complex network and link prediction algorithms.
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Keywords:
- link predictability/
- link prediction/
- spectrum theory/
- complex network
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] -
网络 $ p $ CN AA RA LP IA CAR PA Katz RWR ACT LRW LHN-II BA网络 0.975 0.423 0.324 0.272 0.415 0.271 0.283 0.594 0.412 0.136 0.507 0.085 0.003 随机网络 0.543 0.015 0.008 0.009 0.008 0.009 0 0.030 0.008 0.002 0.020 0 0.001 
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网络 V E r $\langle k\rangle$ $\langle l\rangle$ C C_elegans 297 2148 –0.163 14.47 2.46 0.308 Windsurfers 43 336 –0.147 15.63 1.70 0.564 Adolescent health 2539 12969 0.251 10.22 4.52 0.142 Jazz 198 2742 0.020 27.69 2.21 0.520 USAirport 1574 28236 –0.113 35.87 3.14 0.384 Metabolic 453 4596 –0.226 20.29 2.64 0.124 Yeast 2375 11693 0.454 9.85 5.10 0.388 US powergrid 4941 6594 0.003 2.67 20.09 0.103 Physicians 241 1098 –0.056 9.11 3.02 0.552 Air Traffic Control 1226 2615 –0.015 4.27 6.10 0.063 Contiguous USA 49 107 0.233 4.37 4.26 0.406 Email 1133 5451 0.078 9.62 3.65 0.166 King James Bible 1773 9131 –0.048 10.30 3.38 0.163 Protein Stelzl 1706 6207 –0.191 7.28 5.09 0.006 Router 5022 6258 –0.138 2.49 6.45 0.033 下载:
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网络 p CN AA RA LP IA CAR PA Katz RWR ACT LRW SRW C_elegans 0.999 0.100 0.107 0.105 0.101 0.108 0.094 0.058 0.101 0.105 0.055 0.110 0.108 Windsurfers 0.999 0.379 0.396 0.413 0.370 0.393 0.381 0.214 0.369 0.360 0.247 0.402 0.426 Adolescent health 0.422 0.103 0.103 0.088 0.089 0.101 0.094 0.003 0.088 0.053 0.008 0.042 0.047 Jazz 1.000 0.502 0.523 0.542 0.489 0.535 0.517 0.133 0.489 0.352 0.168 0.342 0.393 USAirport 0.998 0.333 0.336 0.364 0.332 0.332 0.330 0.280 0.332 0.087 0.294 0.076 0.080 Metabolic 0.999 0.137 0.195 0.269 0.141 0.168 0.132 0.104 0.141 0.196 0.092 0.214 0.215 Yeast 0.998 0.154 0.177 0.267 0.158 0.161 0.148 0.094 0.174 0.073 0.211 0.045 0.059 US powergrid 0.362 0.054 0.032 0.028 0.058 0.047 0.037 0.000 0.057 0.016 0.034 0.015 0.018 Physicians 0.368 0.119 0.126 0.121 0.117 0.122 0.106 0.014 0.117 0.119 0.015 0.132 0.127 Air Traffic Control 0.480 0.036 0.024 0.018 0.037 0.021 0.025 0.007 0.037 0.002 0.015 0.002 0.002 Contiguous USA 0.540 0.096 0.130 0.132 0.005 0.000 0.000 0.012 0.004 0.067 0.053 0.133 0.121 Email 0.950 0.144 0.158 0.143 0.142 0.159 0.145 0.018 0.141 0.065 0.024 0.052 0.051 King James Bible 0.960 0.167 0.270 0.446 0.163 0.256 0.176 0.078 0.163 0.186 0.069 0.197 0.224 Protein Stelzl 0.441 0.001 0.002 0.001 0.001 0.002 0.006 0.014 0.001 0.006 0.013 0.006 0.006 Router 0.511 0.051 0.029 0.020 0.056 0.031 0.055 0.022 0.055 0.006 0.164 0.005 0.005 下载:
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[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41]
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