This paper focuses on the problem of finding a particular data recommendation
strategy based on the user preferences and a system expected revenue. To this
end, we formulate this problem as an optimization by designing the
recommendation mechanism as close to the user behavior as possible with a
certain revenue constraint. In fact, the optimal recommendation distribution is
the one that is the closest to the utility distribution in the sense of
relative entropy and satisfies expected revenue. We show that the optimal
recommendation distribution follows the same form as the message importance
measure (MIM) if the target revenue is reasonable, i.e., neither too small nor
too large. Therefore, the optimal recommendation distribution can be regarded
as the normalized MIM, where the parameter, called importance coefficient,
presents the concern of the system and switches the attention of the system
over data sets with different occurring probability. By adjusting the
importance coefficient, our MIM based framework of data recommendation can then
be applied to system with various system requirements and data
distributions.Therefore,the obtained results illustrate the physical meaning of
MIM from the data recommendation perspective and validate the rationality of
MIM in one aspect.Comment: 36 pages, 6 figure
