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: We show that matrix completion with tracenorm regularization can be significantly hurt when entries of the matrix are sampled nonuniformly. We introduce a weighted version of the trace-norm regularizer that works well also with non-uniform sampling. Our experimental results demonstrate that the weighted trace-norm regularization indeed yields significant gains on the (highly non-uniformly sampled) Netflix dataset.

Collaborative Filtering in a Non-Uniform World:  Learning with the Weighted Trace Norm