SP-GCRL: Influence Maximization on Incomplete Social Graphs
Organizations: School of Systems Science and Engineering, Sun Yat-sen University, Guangzhou, China · School of Finance, Jiangxi University of Finance and Economics, Jiangxi, China · Department of Electrical and Electronic Engineering, The Hong Kong Polytechnic University, Hong Kong, China · School of Computer Science and Engineering, Anhui University of Science and Technology, Anhui, China
Abstract
Influence maximization (IM) in real platforms is challenged by incomplete, noisy social graphs and non-stationary diffusion dynamics. We propose SP-GCRL, a social-propagation-aware graph contrastive reinforcement learning framework that learns end-to-end seed selection under partial observability.We first introduce a social-propagation-aware nonlinear diffusion function to model reinforcement/diminishing effects and probability drift under repeated exposure; we then construct dual structural views and perform contrastive learning to obtain node representations robust to missing edges and weak ties, while replacing expensive strategy metrics with a GAT-based regression surrogate to improve efficiency and scalability; finally, we use DDQN to learn an end-to-end seed selection policy on top of these representations. Experiments on multiple real-world networks show that SP-GCRL achieves significant gains over heuristic and learning-based baselines across budgets and topologies, while maintaining strong large-scale scalability.
Figures & tables
| Category | Dataset | Nodes | Edges |
|---|---|---|---|
| Social network | Petster-hamster | 921 | 4,032 |
| Social media pages | Tv-show | 3,892 | 17,262 |
| Social media pages | Politician | 5,908 | 41,729 |
| Trust network | Advogato | 6,551 | 51,317 |
| Social network | Public | 11,565 | 67,114 |
| Review network | Epinions | 26,588 | 100,120 |
| Petster-hamster | Tv-show | Politician | |||||||||||||
| Methods (budget) | 10 | 20 | 30 | 40 | 50 | 10 | 20 | 30 | 40 | 50 | 10 | 20 | 30 | 40 | 50 |
| Random | 35.9 | 38.1 | 92.2 | 130.8 | 94.2 | 23.8 | 64.5 | 91.5 | 79.5 | 172.2 | 52.6 | 41.2 | 74.7 | 175.2 | 124.4 |
| PageRank | 12.9 | 45.2 | 64.7 | 75.6 | 94.2 | 17.4 | 27.4 | 43.4 | 53.8 | 63.7 | 17.7 | 28.4 | 90.6 | 105.4 | 120.3 |
| gIM | 151.6 | 220.4 | 249.8 | 261.6 | 274.3 | 82.3 | 165.9 | 228.1 | 264.8 | 361.0 | 508.5 | 649.8 | 923.5 | 1128.6 | 1204.9 |
| S2V-DQN | 168.0 | 177.8 | 231.5 | 232.9 | 274.2 | 164.3 | 191.0 | 234.0 | 274.4 | 300.8 | 160.2 | 756.3 | 1,044.6 | 1,082.5 | 1,303.5 |
| ToupleGDD | 417.7 | 442.8 | 423.4 | 483.0 | 495.1 | 533.7 | 811.3 | 988.4 | 1,081.8 | 1,140.4 | 2,581.2 | 2,762.7 | 2,975.5 | 3,010.1 | 3,032.3 |