notesum.ai
Published at November 21Topology-Aware Popularity Debiasing via Simplicial Complexes
cs.IR
Released Date: November 21, 2024
Authors: Yanbiao Ji1, Yue Ding1, Chang Liu1, Yuxiang Lu1, Xin Xin2, Hongtao Lu
Aff.: 1Shanghai Jiao Tong University, China; 2Shandong University, China

| Adressa | Gowalla | Yelp2018 | ML10M | Globo | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Recall | HR | NDCG | Recall | HR | NDCG | Recall | HR | NDCG | Recall | HR | NDCG | Recall | HR | NDCG | |
| LightGCN | 0.015 | 0.016 | 0.007 | 0.006 | 0.027 | 0.006 | 0.002 | 0.012 | 0.001 | 0.002 | 0.009 | 0.001 | 0.001 | 0.007 | 0.002 |
| + IPS | 0.040 | 0.050 | 0.020 | 0.030 | 0.097 | 0.025 | 0.006 | 0.040 | 0.007 | 0.011 | 0.035 | 0.005 | 0.022 | 0.057 | 0.012 |
| + CausE | 0.023 | 0.032 | 0.011 | 0.020 | 0.063 | 0.013 | 0.007 | 0.022 | 0.004 | 0.007 | 0.017 | 0.002 | 0.014 | 0.038 | 0.008 |
| + MACR | 0.016 | 0.022 | 0.007 | 0.014 | 0.037 | 0.008 | 0.005 | 0.019 | 0.004 | 0.007 | 0.012 | 0.002 | 0.006 | 0.027 | 0.005 |
| + sDRO | 0.014 | 0.019 | 0.007 | 0.012 | 0.032 | 0.007 | 0.005 | 0.017 | 0.003 | 0.007 | 0.016 | 0.002 | 0.003 | 0.018 | 0.004 |
| + Ours | 0.055 | 0.066 | 0.024 | 0.038 | 0.115 | 0.021 | 0.009 | 0.056 | 0.008 | 0.013 | 0.050 | 0.008 | 0.024 | 0.070 | 0.013 |
| %Improve | 37.50 | 28.00 | 20.00 | 26.67 | 18.56 | - | 28.57 | 40.00 | 14.29 | 18.18 | 42.86 | 60.00 | 9.09 | 22.81 | 8.33 |
| SimGCL | 0.016 | 0.021 | 0.007 | 0.008 | 0.032 | 0.007 | 0.002 | 0.013 | 0.003 | 0.003 | 0.010 | 0.002 | 0.002 | 0.008 | 0.001 |
| + IPS | 0.052 | 0.063 | 0.027 | 0.021 | 0.080 | 0.018 | 0.008 | 0.042 | 0.006 | 0.013 | 0.040 | 0.008 | 0.025 | 0.075 | 0.011 |
| + CausE | 0.018 | 0.025 | 0.008 | 0.028 | 0.074 | 0.018 | 0.006 | 0.035 | 0.005 | 0.010 | 0.027 | 0.004 | 0.010 | 0.026 | 0.008 |
| + MACR | 0.014 | 0.019 | 0.006 | 0.017 | 0.034 | 0.006 | 0.005 | 0.020 | 0.004 | 0.013 | 0.048 | 0.009 | 0.012 | 0.037 | 0.008 |
| + sDRO | 0.016 | 0.021 | 0.007 | 0.014 | 0.031 | 0.007 | 0.006 | 0.030 | 0.003 | 0.008 | 0.025 | 0.003 | 0.007 | 0.022 | 0.006 |
| + Ours | 0.085 | 0.103 | 0.046 | 0.055 | 0.125 | 0.047 | 0.015 | 0.087 | 0.014 | 0.016 | 0.073 | 0.012 | 0.025 | 0.063 | 0.017 |
| %Improve | 63.46 | 63.49 | 70.37 | 96.43 | 56.25 | 161.11 | 87.50 | 107.14 | 133.33 | 23.08 | 52.08 | 33.33 | - | - | 54.55 |
| LightGCL | 0.020 | 0.023 | 0.009 | 0.010 | 0.034 | 0.008 | 0.003 | 0.012 | 0.003 | 0.003 | 0.010 | 0.002 | 0.004 | 0.010 | 0.004 |
| + IPS | 0.045 | 0.058 | 0.022 | 0.040 | 0.120 | 0.030 | 0.010 | 0.060 | 0.010 | 0.010 | 0.035 | 0.006 | 0.024 | 0.068 | 0.016 |
| + CausE | 0.022 | 0.027 | 0.008 | 0.026 | 0.080 | 0.019 | 0.002 | 0.011 | 0.002 | 0.003 | 0.009 | 0.001 | 0.015 | 0.044 | 0.011 |
| + MACR | 0.008 | 0.011 | 0.005 | 0.015 | 0.046 | 0.012 | 0.011 | 0.038 | 0.012 | 0.011 | 0.045 | 0.007 | 0.013 | 0.032 | 0.007 |
| + sDRO | 0.015 | 0.019 | 0.007 | 0.013 | 0.032 | 0.007 | 0.010 | 0.038 | 0.003 | 0.007 | 0.019 | 0.002 | 0.007 | 0.027 | 0.005 |
| + Ours | 0.075 | 0.115 | 0.047 | 0.050 | 0.160 | 0.032 | 0.020 | 0.095 | 0.019 | 0.014 | 0.065 | 0.010 | 0.032 | 0.079 | 0.018 |
| %Improve | 66.67 | 98.28 | 113.64 | 25.00 | 33.33 | 6.67 | 81.81 | 58.33 | 58.33 | 27.27 | 44.44 | 42.86 | 33.33 | 16.18 | 12.50 |