NFR-Induced Diversity Reduction Conjecture
Determine whether Network-Friendly Recommendations (NFR) algorithms that seek to reduce network cost do so by consistently reallocating recommendation probability mass from non-cached items to cached items whenever sufficiently relevant alternatives exist, thereby concentrating recommendation probabilities on a smaller subset of content and reducing overall diversity in the recommendation system.
References
Our conjecture is that, to reduce network cost, an NFR algorithm will replace some recommendation probability mass from items outside the cache, with items inside the cache, at every opportunity where sufficiently relevant alternatives (e.g. satisfying (i)) exist. By doing this for most users and most items, the majority of the recommendation probability mass will become concentrated around a much smaller pool of content, signaling decreased diversity in the RS.