http://my.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. Irreducible Plane Curve Singularities

  2. Analytic torsion and mirror symmetry

  3. Fefferman's program and Green functions in conformal geometry

  4. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

  5. 정년퇴임 기념강연: Volume Conjecture

  6. Queer Lie Superalgebras

  7. Regularization by noise in nonlinear evolution equations

  8. A New Approach to Discrete Logarithm with Auxiliary Inputs

  9. Contact topology and the three-body problem

  10. Harmonic bundles and Toda lattices with opposite sign

  11. Mathematical Analysis Models and Siumlations

  12. Connes's Embedding Conjecture and its equivalent

  13. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  14. Combinatorial Laplacians on Acyclic Complexes

  15. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

  16. L-function: complex vs. p-adic

  17. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

  18. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

  19. Mixed type PDEs and compressible flow

  20. Freudenthal medal, Klein medal 수상자의 수학교육이론

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Next
/ 16