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Finn Lidbetter, Master’s candidate
David R. Cheriton School of Computer Science

The fundamental problem of additive number theory is to determine whether there exists an integer m such that every nonnegative integer (resp., every sufficiently large nonnegative integer) is the sum of at most m elements of S. If so, we call S an additive basis of order m (resp., an asymptotic additive basis of order m). If such an m exists, we also want to find the smallest such m.

Carolyn Lamb, PhD candidate
David R. Cheriton School of Computer Science

We describe three versions of TwitSong, a system that generates poetry based on the news. TwitSong is designed to make aesthetic decisions about potential lines of poetry and, in the third version, to edit its own work. We describe how the system was developed, how it performs in user studies, and why this type of computer-generated poetry still has a long way to go.

Daniel Recoskie, PhD candidate
David R. Cheriton School of Computer Science

The wavelet transform has seen success when incorporated into neural network architectures, such as in wavelet scattering networks. More recently, it has been shown that the dual-tree complex wavelet transform can provide better representations than the standard transform. 

Philipp Kindermann, Postdoctoral Fellow
David R. Cheriton School of Computer Science

The visual complexity of a graph drawing is defined as the number of geometric objects needed to represent all its edges. In particular, one object may represent multiple edges, e.g., one needs only one line segment to draw two collinear incident edges. 

Kshitij Jain, Master’s candidate
David R. Cheriton School of Computer Science

We introduce a problem called the Minimum Shared-Power Edge Cut (MSPEC). The input to the problem is an undirected edge-weighted graph with distinguished vertices s and t, and the goal is to find an s-t cut by assigning "powers'' at the vertices and removing an edge if the sum of the powers at its endpoints is at least its weight. The objective is to minimize the sum of the assigned powers.