Title
Efficient Approximation Algorithms for Adaptive Seed Minimization
Abstract
As a dual problem of influence maximization, the seed minimization problem asks for the minimum number of seed nodes to influence a required number η of users in a given social network G. Existing algorithms for seed minimization mostly consider the non-adaptive setting, where all seed nodes are selected in one batch without observing how they may influence other users. In this paper, we study seed minimization in the adaptive setting, where the seed nodes are selected in several batches, such that the choice of a batch may exploit information about the actual influence of the previous batches. We propose a novel algorithm, ASTI, which addresses the adaptive seed minimization problem in $O\Big(\fracη \cdot (m+n) \varepsilon^2 łn n \Big)$ expected time and offers an approximation guarantee of $\frac(łn η+1)^2 (1 - (1-1/b)^b) (1-1/e)(1-\varepsilon) $ in expectation, where η is the targeted number of influenced nodes, b is size of each seed node batch, and $\varepsilon \in (0, 1)$ is a user-specified parameter. To the best of our knowledge, ASTI is the first algorithm that provides such an approximation guarantee without incurring prohibitive computation overhead. With extensive experiments on a variety of datasets, we demonstrate the effectiveness and efficiency of ASTI over competing methods.
Year
DOI
Venue
2019
10.1145/3299869.3319881
Proceedings of the 2019 International Conference on Management of Data
Keywords
Field
DocType
approximation algorithm, sampling, seed minimization
Minimization problem,Approximation algorithm,Data mining,Mathematical optimization,Computer science,Exploit,Duality (optimization),Minification,Sampling (statistics),Maximization,Computation
Conference
ISSN
ISBN
Citations 
0730-8078
978-1-4503-5643-5
4
PageRank 
References 
Authors
0.38
39
7
Name
Order
Citations
PageRank
Jing Tang1284.83
Keke Huang252.10
Xiaokui Xiao33266142.32
Laks V. S. Lakshmanan46216696.78
Xueyan Tang5155992.36
Aixin Sun63071156.89
Andrew Lim793789.78