  Social networks are commonly used for marketing purposes. For example, free
samples of a product can be given to a few influential social network users (or
"seed nodes"), with the hope that they will convince their friends to buy it.
One way to formalize marketers' objective is through influence maximization (or
IM), whose goal is to find the best seed nodes to activate under a fixed
budget, so that the number of people who get influenced in the end is
maximized. Recent solutions to IM rely on the influence probability that a user
influences another one. However, this probability information may be
unavailable or incomplete. In this paper, we study IM in the absence of
complete information on influence probability. We call this problem Online
Influence Maximization (OIM) since we learn influence probabilities at the same
time we run influence campaigns. To solve OIM, we propose a multiple-trial
approach, where (1) some seed nodes are selected based on existing influence
information; (2) an influence campaign is started with these seed nodes; and
(3) users' feedback is used to update influence information. We adopt the
Explore-Exploit strategy, which can select seed nodes using either the current
influence probability estimation (exploit), or the confidence bound on the
estimation (explore). Any existing IM algorithm can be used in this framework.
We also develop an incremental algorithm that can significantly reduce the
overhead of handling users' feedback information. Our experiments show that our
solution is more effective than traditional IM methods on the partial
information.
