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Stability of Influence Maximization Xinran He and David Kempe University of Southern California {xinranhe, 08/26/2014

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The adoption of new products can propagate in the social network Diffusion in the social network He & Kempe (USC)Influence Stability KDD 2014 Diffusion In Social Networks

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He & Kempe (USC)Influence Stability KDD 2014 IC Model & Influence Maximization

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Diffusion History Questionnaire Influence Maximization Network Inference Ground truth network Does such instability really exist? He & Kempe(USC)Influence Stability KDD 2014 Uncertainty in Influence Strength

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Select one seed He & Kempe (USC)Influence Stability KDD 2014 An Extreme Example

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He & Kempe (USC)Influence Stability KDD 2014 An Extreme Example (Cont.)

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How about this network? Given an instance of Influence Maximization, can we diagnose efficiently whether it is stable or unstable? Complete answer Partial solution He & Kempe (USC)Influence Stability KDD 2014 Diagnosing Instability

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Model of misestimation: He & Kempe (USC)Influence Stability KDD 2014 Definition of Stability

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Optimization Problem: He & Kempe (USC)Influence Stability KDD 2014 Influence Difference Maximization

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He & Kempe (USC)Influence Stability KDD 2014 Main Theory Result

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He & Kempe (USC)Influence Stability KDD 2014 Approximation Guarantee for InfMax

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He & Kempe (USC)Influence Stability KDD 2014 Experiments: Setting

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He & Kempe (USC)Influence Stability KDD 2014 Experiments: PA network

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He & Kempe (USC)Influence Stability KDD 2014 Experiments: STOCFOCS

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He & Kempe (USC)Influence Stability KDD 2014 Conclusion

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Generalization to other diffusion models. Generalized Threshold (GT) model Generalization to other misestimation models. Current assumption: each deviation is bounded What if the total (squared) deviation is bounded? Big picture: How accurate are our diffusion models? He & Kempe (USC)Influence Stability KDD 2014 Future work

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