Table 5.2.
Top time-averaged centralities (αi) and first-order-mover scores (mi) for our temporal generalization [see Eq. (3.1)] of PageRank with p = 0.85 for universities in the Ph.D. exchange network.
| Top Time-Averaged Centralities | Top First-Order-Mover Scores | |||||
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| Rank | University | αi | mi | University | mi | αi |
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| 1 | MIT | 0.484 | 1.82 | Princeton | 15.01 | 0.303 |
| 2 | Stanford | 0.402 | 7.58 | UC Berkeley | 10.76 | 0.390 |
| 3 | UC Berkeley | 0.390 | 10.76 | Harvard | 7.99 | 0.363 |
| 4 | Harvard | 0.363 | 7.99 | Stanford | 7.58 | 0.402 |
| 5 | Princeton | 0.303 | 15.01 | U Michigan | 5.17 | 0.101 |
| 6 | Cornell | 0.142 | 2.11 | Columbia | 5.03 | 0.088 |
| 7 | U Chicago | 0.122 | 4.28 | U Chicago | 4.28 | 0.122 |
| 8 | Yale | 0.112 | 2.36 | NYU | 3.28 | 0.102 |
| 9 | Wisconsin-Madison | 0.111 | 2.09 | Carnegie Melon | 2.83 | 0.088 |
| 10 | NYU | 0.102 | 3.28 | U Washington | 2.67 | 0.053 |
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