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Unveiling Environmental Sensitivity of Individual Gains in Influence Maximization
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Proposes CauIM, a causal-inference-based influence maximization framework on hypergraphs that maximizes the sum of dynamic individual treatment effects (ITE), with greedy (G-CauIM) and accelerated gradient-based (A-CauIM) variants.
Problem
Influence maximization where each node's individual gain (ITE) is unobservable for the counterfactual state and depends dynamically on neighbors' activation states, so standard constant-weight IM assumptions fail.
Approach
Model individual gains as individual treatment effects estimated from observational data with a hypergraph-convolution interference representation, and optimize the expected sum of activation-probability-weighted ITE under an SICP hypergraph diffusion, with a greedy approximation guarantee generalized to possibly negative ITE and a derivative-based fast seed selection.</808>
Key results
- On GoodReads with K=15, G-CauIM reached 330.25 total ITE versus 297.56 for the traditional greedy baseline and 45.86 for random selection.
- A-CauIM ran in 28s on GoodReads versus 1day for the baseline greedy, while reaching 302.17 total ITE.
- On SD-100, A-CauIM achieved the highest total ITE (160.49) versus 138.91 for the baseline greedy.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use G-CauIM instead of the traditional greedy Baseline | Influence maximization · GoodReads | sum of ITE: 297.56 -> 330.25 | Helped |
| Use G-CauIM instead of the traditional greedy Baseline | Influence maximization · Contact | sum of ITE: 68.12 -> 69.53 | Helped |
| Use G-CauIM instead of the traditional greedy Baseline | Influence maximization · Email-Eu | sum of ITE: 735.28 -> 804.28 | Helped |
| Use G-CauIM instead of Random selection | Influence maximization · SD-100 | sum of ITE: 145.97 -> 151.59 | Helped |
| Use A-CauIM instead of the traditional greedy Baseline | Influence maximization · GoodReads | sum of ITE: 297.56 -> 302.17 | Helped |
| Use A-CauIM instead of the traditional greedy Baseline | Influence maximization · Contact | sum of ITE: 68.12 -> 66.78 | Hurt |
| Use A-CauIM instead of the traditional greedy Baseline | Influence maximization · Email-Eu | sum of ITE: 735.28 -> 802.41 | Helped |
| Use A-CauIM instead of Random selection | Influence maximization · SD-100 | sum of ITE: 145.97 -> 160.49 | Helped |
| Use A-CauIM instead of G-CauIM | Influence maximization · GoodReads | runtime: 1day02h -> 28s | Helped |
| Use A-CauIM instead of G-CauIM | Influence maximization · Contact | runtime: 7h -> 115s | Helped |
| Use A-CauIM instead of G-CauIM | Influence maximization · Email-Eu | runtime: 23h -> 550s | Helped |
| Use A-CauIM instead of G-CauIM | Influence maximization · SD-100 | runtime: 3h -> 53s | Helped |
Surprising findings
- Traditional greedy IM degenerates to near-random performance in most settings once dynamic ITE is considered.
- On Contact, G-CauIM and A-CauIM gains over baseline are small (69.53 and 66.78 vs 68.12).
Limitations
- Theoretical guarantee relies on a broad, model-free boundedness condition on reachable probabilities that is not verified in general.
- Experiments are on only one synthetic and three real-world datasets, with simulated ITE and treatments for some settings.
- Assumes a static hypergraph topology; dynamic graphs are deferred to future work.
Experimental setup
Datasets: GoodReads Contact Email-Eu SD-100 (synthetic)
Benchmarks: GoodReads Contact Email-Eu SD-100
Metrics: sum of ITE spread by selected seeds running time
Baselines: Greedy (traditional IM without parameter adjustment) Random seed selection
Builds on: Kempe influence maximization CELF hypergraph independent cascade (SICP) representation-based ITE estimation
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