22 research outputs found
QUAK: A Synthetic Quality Estimation Dataset for Korean-English Neural Machine Translation
With the recent advance in neural machine translation demonstrating its
importance, research on quality estimation (QE) has been steadily progressing.
QE aims to automatically predict the quality of machine translation (MT) output
without reference sentences. Despite its high utility in the real world, there
remain several limitations concerning manual QE data creation: inevitably
incurred non-trivial costs due to the need for translation experts, and issues
with data scaling and language expansion. To tackle these limitations, we
present QUAK, a Korean-English synthetic QE dataset generated in a fully
automatic manner. This consists of three sub-QUAK datasets QUAK-M, QUAK-P, and
QUAK-H, produced through three strategies that are relatively free from
language constraints. Since each strategy requires no human effort, which
facilitates scalability, we scale our data up to 1.58M for QUAK-P, H and 6.58M
for QUAK-M. As an experiment, we quantitatively analyze word-level QE results
in various ways while performing statistical analysis. Moreover, we show that
datasets scaled in an efficient way also contribute to performance improvements
by observing meaningful performance gains in QUAK-M, P when adding data up to
1.58M
On the constant in the Turan-Kubilius inequality.
Since Kubilius in 1983 proved that the Turan-Kubilius inequality holds with the constant close to 1.5, it has been conjectured that the inequality holds with the constant 1.5. In this thesis the conjecture is settled positively in the case of strongly additive functions for all sufficiently large x. The key to the proof is a lower bound on a bilinear form. This is obtained by constructing very precise approximations for the lowest eigenvalue and eigenvector using the power method from numerical analysis. For the latter construction precise evaluations of the mean values of many complicated arithmetic functions on prime numbers. The mean values were sought using analytic methods and the method of hyperbola.Ph.D.MathematicsPure SciencesUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/128372/2/9001667.pd
A NOTE ON THE ZEROS OF JENSEN POLYNOMIALS
Sufficient conditions for the Jensen polynomials of the derivatives of a real entire function to be hyperbolic are obtained. The conditions are given in terms of the growth rate and zero distribution of the function. As a consequence some recent results on Jensen polynomials, relevant to the Riemann hypothesis, are extended and improved.N