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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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Presentation on theme: "Stability of Influence Maximization Xinran He and David Kempe University of Southern California {xinranhe, 08/26/2014."— Presentation transcript:

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

2 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

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

4 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

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

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

7 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

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

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

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

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

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

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

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

15 He & Kempe (USC)Influence Stability KDD 2014 Conclusion

16 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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