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Extra Form
Lecturer 정교민
Dept. KAIST
date Nov 01, 2012
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
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Probability Theory (조수빈) file 서울대학교 수리과학부 조수빈
BK21 FOUR Rookies Pitch 2023-1 Geometric Toplology (정홍택) file BK21 정홍택
Math Colloquia Structures of Formal Proofs file 경북대학교 정주희
Math Colloquia On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
Math Colloquia Mathematics, Biology and Mathematical Biology file 부산대학교 수학과 정일효
Math Colloquia Ill-posedness for incompressible Euler equations at critical regularit file 서울대학교 정인지
Math Colloquia Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza file 건국대학교 교수, 현 산업응용수학회 회장 정은옥
Math Colloquia <학부생을 위한 ɛ 강연> 서비스 진보의 관점에서 본 AI technology file 이스트소프트 대표 정상원
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch:Functional Analysis (정민구) file 고등과학원 정민구
Math Colloquia 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
Math Colloquia Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
Math Colloquia Free boundary problems arising from mathematical finance file 경희대학교 전준기
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: Financial Mathematics(전재기), PDE, Kinetic Equation(배기찬) file BK21 FOUR 전재기, 배기찬
Math Colloquia Vlasov-Maxwell equations and the Dynamics of Plasmas file 포항공과대학교 장진우
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Representation Theory(장일승) file 서울대학교 장일승
Math Colloquia <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI file 서울대학교 컴퓨터공학부 장병탁
Math Colloquia Fixed points of symplectic/Hamiltonian circle actions file 부산대 수학과 장동훈
Math Colloquia <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI file 피아니스트 임현정
Math Colloquia Volume entropy of hyperbolic buildings file 서울대 임선희
Math Colloquia Randomness of prime numbers file 서울대학교 임선희
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