41,919 research outputs found
MAXIMIZING THE SPEED OF INFLUENCE IN SOCIAL NETWORKS
Influence maximization in social networks is the problem of selecting a limited
size of influential users as seed nodes so that the influence from these seed nodes can propagate to the largest number of other nodes in the network. Previous studies in influence maximization focused on three areas, i.e., designing propagation models, improving algorithms of seed-node selection and exploiting the structure of social networks. However, most of these studies ignored the time constraint in influence propagation. In this paper, I studied how to maximize influence propagation in a given time, i.e., maximizing the speed of influence propagation in social networks. I extended the classic Independent Cascade (IC) model to a Continuous Dynamic Extended Independent Cascade (CDE-IC) model. In addition, I propose a novel heuristic algorithm and evaluate the algorithm using two large academic collaboration data sets from www.arXiv.org. Comparing with previous classic heuristic algorithms on the CDE-IC model, the new algorithm is 9%-18% faster in influence propagation. Furthermore, I gave solution to calculate propagation probability between adjacent nodes by exploiting the structure of social networks
Beyond Worst-Case (In)approximability of Nonsubmodular Influence Maximization
We consider the problem of maximizing the spread of influence in a social
network by choosing a fixed number of initial seeds, formally referred to as
the influence maximization problem. It admits a -factor approximation
algorithm if the influence function is submodular. Otherwise, in the worst
case, the problem is NP-hard to approximate to within a factor of
. This paper studies whether this worst-case hardness result
can be circumvented by making assumptions about either the underlying network
topology or the cascade model. All of our assumptions are motivated by many
real life social network cascades.
First, we present strong inapproximability results for a very restricted
class of networks called the (stochastic) hierarchical blockmodel, a special
case of the well-studied (stochastic) blockmodel in which relationships between
blocks admit a tree structure. We also provide a dynamic-program based
polynomial time algorithm which optimally computes a directed variant of the
influence maximization problem on hierarchical blockmodel networks. Our
algorithm indicates that the inapproximability result is due to the
bidirectionality of influence between agent-blocks.
Second, we present strong inapproximability results for a class of influence
functions that are "almost" submodular, called 2-quasi-submodular. Our
inapproximability results hold even for any 2-quasi-submodular fixed in
advance. This result also indicates that the "threshold" between submodularity
and nonsubmodularity is sharp, regarding the approximability of influence
maximization.Comment: 53 pages, 20 figures; Conference short version - WINE 2017: The 13th
Conference on Web and Internet Economics; Journal full version - ACM:
Transactions on Computation Theory, 201
Seeds Buffering for Information Spreading Processes
Seeding strategies for influence maximization in social networks have been
studied for more than a decade. They have mainly relied on the activation of
all resources (seeds) simultaneously in the beginning; yet, it has been shown
that sequential seeding strategies are commonly better. This research focuses
on studying sequential seeding with buffering, which is an extension to basic
sequential seeding concept. The proposed method avoids choosing nodes that will
be activated through the natural diffusion process, which is leading to better
use of the budget for activating seed nodes in the social influence process.
This approach was compared with sequential seeding without buffering and single
stage seeding. The results on both real and artificial social networks confirm
that the buffer-based consecutive seeding is a good trade-off between the final
coverage and the time to reach it. It performs significantly better than its
rivals for a fixed budget. The gain is obtained by dynamic rankings and the
ability to detect network areas with nodes that are not yet activated and have
high potential of activating their neighbours.Comment: Jankowski, J., Br\'odka, P., Michalski, R., & Kazienko, P. (2017,
September). Seeds Buffering for Information Spreading Processes. In
International Conference on Social Informatics (pp. 628-641). Springe
Online Influence Maximization in Non-Stationary Social Networks
Social networks have been popular platforms for information propagation. An
important use case is viral marketing: given a promotion budget, an advertiser
can choose some influential users as the seed set and provide them free or
discounted sample products; in this way, the advertiser hopes to increase the
popularity of the product in the users' friend circles by the world-of-mouth
effect, and thus maximizes the number of users that information of the
production can reach. There has been a body of literature studying the
influence maximization problem. Nevertheless, the existing studies mostly
investigate the problem on a one-off basis, assuming fixed known influence
probabilities among users, or the knowledge of the exact social network
topology. In practice, the social network topology and the influence
probabilities are typically unknown to the advertiser, which can be varying
over time, i.e., in cases of newly established, strengthened or weakened social
ties. In this paper, we focus on a dynamic non-stationary social network and
design a randomized algorithm, RSB, based on multi-armed bandit optimization,
to maximize influence propagation over time. The algorithm produces a sequence
of online decisions and calibrates its explore-exploit strategy utilizing
outcomes of previous decisions. It is rigorously proven to achieve an
upper-bounded regret in reward and applicable to large-scale social networks.
Practical effectiveness of the algorithm is evaluated using both synthetic and
real-world datasets, which demonstrates that our algorithm outperforms previous
stationary methods under non-stationary conditions.Comment: 10 pages. To appear in IEEE/ACM IWQoS 2016. Full versio
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