Lists of top artists to watch are periodically published by various art world media publications. These lists are selected editorially and reflect the subjective opinions of their creators. We show an application of ranking by momentum method to algorithmically produce lists of artists to watch derived from our platform Articker. We use our algorithms every month to produce a new list of momentum leaders on www.articker.org. The lists of momentum leaders computed this way has the following properties: a.It is small (because of the small frontier property). b.It is unbiased -- with no bias towards famous artists nor emerging, and yet unknown, artists c It is fair -- artists who are not included in the list must be Pareto dominated by at least one member of the momentum leaders list (Pareto frontier) d.It is objective -- it is computed automatically, not editorially selected.
Given a set of changing entities, which ones are the most uptrending over some time T? Which entities are standing out as the biggest movers? To answer this question we define the concept of momentum. Two parameters - absolute gain and relative gain over time T play the key role in defining momentum. Neither alone is sufficient since they are each biased towards a subset of entities. Absolute gain favors large entities, while relative gain favors small ones. To accommodate both absolute and relative gain in an unbiased way, we define Pareto ordering between entities. For entity E to dominate another entity F in Pareto ordering, E's absolute and relative gains over time T must be higher than F's absolute and relative gains respectively. Momentum leaders are defined as maximal elements of this partial order - the Pareto frontier. We show how to compute momentum leaders and propose linear ordering among them to help rank entities with the most momentum on the top. Additionally, we show that when vectors follow power-law, the cardinality of the set of Momentum leaders (Pareto frontier) is of the order of square root of the logarithm of the number of entities, thus it is very small.