https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 정교민
소속 KAIST
date 2012-11-01
Diffusion of information, rumors or epidemics via various social networks has been extensively studied for decades. In particular, Kempe, Kleinberg, and Tardos (KDD '03) proposed the general threshold model, a generalization of many mathematical models for diffusion on networks which is based on utility maximization of individuals in game theoretic consideration. Despite its importance, the analysis under the threshold model, however, has concentrated on special cases such as the submodular influence (by Mossel-Roch (STOC '07)), homogeneous thresholds (by Whitney(Phys. Rev. E. '10)), and locally tree-like networks (by Watts(PNAS '02)). We first consider the general threshold model with arbitrary threshold distribution on arbitrary networks. We prove that only if (essentially) all nodes have degrees \omega(log n), the final cascade size is highly concentrated around its mean with high probability for a large class of general threshold models including the linear threshold model, and the Katz-Shapiro pricing model. We also prove that in those cases, somewhat surprisingly, the expectation of the cascade size is asymptotically independent of the network structure if initial adopters are chosen by public advertisements, and provide a formula to compute the cascade size. Our formula allows us to compute when a phase transition for a large spreading (a tipping point) happens. We then provide a novel algorithm for influence maximization that integrates a new message passing based influence ranking and influence estimation methods in the independent cascade model.
Atachment
첨부 '1'
  1. 26Nov
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI

  2. 2021-2 Rookies Pitch: Representation Theory(장일승)

  3. 11Apr
    by 김수현
    in 수학강연회

    Vlasov-Maxwell equations and the Dynamics of Plasmas

  4. 2021-1 Rookies Pitch: Financial Mathematics(전재기), PDE, Kinetic Equation(배기찬)

  5. 17Oct
    by 김수현
    in 수학강연회

    Free boundary problems arising from mathematical finance

  6. 07Nov
    by Editor
    in 수학강연회

    학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

  7. 20Oct
    by 김수현
    in 수학강연회

    Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

  8. 2022-1 Rookies Pitch:Functional Analysis (정민구)

  9. 20Oct
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> 서비스 진보의 관점에서 본 AI technology

  10. 23May
    by 김수현
    in 수학강연회

    Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza

  11. 13Oct
    by 김수현
    in 수학강연회

    Ill-posedness for incompressible Euler equations at critical regularit

  12. 08Nov
    by 김수현
    in 수학강연회

    Mathematics, Biology and Mathematical Biology

  13. 15Apr
    by 김수현
    in 수학강연회

    On the resolution of the Gibbs phenomenon

  14. 01Nov
    by Manager
    in 수학강연회

    Structures of Formal Proofs

  15. 2023-1 Geometric Toplology (정홍택)

  16. 2021-2 Rookies Pitch: Probability Theory (조수빈)

  17. 21Nov
    by 김수현
    in 수학강연회

    Lie group actions on symplectic manifolds

  18. 08Nov
    by 김수현
    in 수학강연회

    Counting number fields and its applications

  19. 16May
    by 김수현
    in 수학강연회

    Descent in derived algebraic geometry

  20. 29May
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

Board Pagination Prev 1 ... 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15