Definition: In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Input: One of the most prominent challenges in clustering is “the user’s dilemma,” which is the problem of selecting an appropriate clustering algorithm for a specific task. A formal approach for addressing this problem relies on the identification of succinct, user-friendly properties that formally capture when certain clustering methods are preferred over others. Until now these properties focused on advantages of classical Linkage-Based algorithms, failing to identify when other clustering paradigms, such as popular center-based methods, are preferable. We present surprisingly simple new properties that delineate the differences between common clustering paradigms, which clearly and formally demonstrates advantages of centerbased approaches for some applications. These properties address how sensitive algorithms are to changes in element frequencies, which we capture in a generalized setting where every element is associated with a real-valued weight. ∗E-mail: mackerman@fsu.edu †E-mail: shai@cs.uwaterloo.ca ‡E-mail: simina.branzei@gmail.com §E-mail: dloker@cs.uwaterloo.ca 1 ar X iv :1 10 9. 18 44 v2 [ cs .L G ] 4 O ct 2 01 6

Weighted Clustering