Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
We propose a local coherence model based on a convolutional neural network that operates over the entity grid representation of a text. The model captures long range entity transitions along with entity-specific features without loosing generalization, thanks to the power of distributed representation. We present a pairwise ranking method to train the model in an end-to-end fashion on a task and learn task-specific high level features. Our evaluation on three different coherence assessment tasks demonstrates that our model achieves state of the art results outperforming existing models by a good margin.
Solution: A Neural Local Coherence Model
Reason: This statement "A Neural Local Coherence Model" is taken from the subtext "convolutional neural network" and its explanation in the passage. This is a positive example because the title belongs to the mentions in the passage

Now, solve this instance: We improve the computational complexity of online learning algorithms that require to often recompute least squares regression estimates of parameters. We propose two stochastic gradient descent schemes with randomisation in order to efficiently track the true solutions of the regression problems achieving an O(d) improvement in complexity, where d is the dimension of the data. The first algorithm assumes strong convexity in the regression problem, and we provide bounds on the error both in expectation and high probability (the latter is often needed to provide theoretical guarantees for higher level algorithms). The second algorithm deals with cases where strong convexity of the regression problem cannot be guaranteed and uses adaptive regularisation. We again give error bounds in both expectation and high probability. We apply our approaches to the linear bandit algorithms PEGE and ConfidenceBall and demonstrate significant gains in complexity in both cases. Since strong convexity is guaranteed by the PEGE algorithm, we lose only logarithmic factors in the regret performance of the algorithm. On the other hand, in the ConfidenceBall algorithm we adaptively regularise to ensure strong convexity, and this results in an O(n1/5)1 deterioration of the regret.
Student:
Online gradient descent for least squares regression: Non-asymptotic bounds and application to bandits