2,939 research outputs found
Evaluating prose style transfer with the Bible
In the prose style transfer task a system, provided with text input and a
target prose style, produces output which preserves the meaning of the input
text but alters the style. These systems require parallel data for evaluation
of results and usually make use of parallel data for training. Currently, there
are few publicly available corpora for this task. In this work, we identify a
high-quality source of aligned, stylistically distinct text in different
versions of the Bible. We provide a standardized split, into training,
development and testing data, of the public domain versions in our corpus. This
corpus is highly parallel since many Bible versions are included. Sentences are
aligned due to the presence of chapter and verse numbers within all versions of
the text. In addition to the corpus, we present the results, as measured by the
BLEU and PINC metrics, of several models trained on our data which can serve as
baselines for future research. While we present these data as a style transfer
corpus, we believe that it is of unmatched quality and may be useful for other
natural language tasks as well
Endotrivial modules for the symmetric and alternating groups.
In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic . If , then the group is generated by the class of except in a few low degrees. If , then the group is only determined for degrees less than . In these cases we show that there are several Young modules which are endotrivial
Real Cubic Surfaces and Real Hyperbolic Geometry
The moduli space of stable real cubic surfaces is the quotient of real
hyperbolic four-space by a discrete, nonarithmetic group. The volume of the
moduli space is 37\pi^2/1080 in the metric of constant curvature -1. Each of
the five connected components of the moduli space can be described as the
quotient of real hyperbolic four-space by a specific arithmetic group. We
compute the volumes of these components.Comment: 4 pages, one figur
Hyperbolic geometry and moduli of real cubic surfaces
Let M_0^R be the moduli space of smooth real cubic surfaces. We show that
each of its components admits a real hyperbolic structure. More precisely, one
can remove some lower-dimensional geodesic subspaces from a real hyperbolic
space H^4 and form the quotient by an arithmetic group to obtain an orbifold
isomorphic to a component of the moduli space. There are five components. For
each we describe the corresponding lattices in PO(4,1). We also derive several
new and several old results on the topology of M_0^R. Let M_s^R be the moduli
space of real cubic surfaces that are stable in the sense of geometric
invariant theory. We show that this space carries a hyperbolic structure whose
restriction to M_0^R is that just mentioned. The corresponding lattice in
PO(4,1), for which we find an explicit fundamental domain, is nonarithmetic.Comment: Major revision, including several new or completely rewritten
sections. 56 page
Parenthood, Life Course Expectations, and Mental Health
Social and Behavioral Sciences; Social Work; Law: 2nd Place (The Ohio State University Edward F. Hayes Graduate Research Forum)Although past research indicates that births at young ages and births prior to marriage may negatively affect parents’ mental health, little is known about the role personal expectations for first birth timing and sequencing have in shaping these associations. Using data from the National Longitudinal Survey of Youth 1979 (NLSY79), I examine how personal expectations in young adulthood for first birth timing and sequencing condition the associations between age at first birth, pre-marital first births, and parents’ mental health. I also examine whether the conditioning effects of expectations vary by race/ethnicity. Results indicate that, in most cases, the relationship between age at first birth, pre-marital first births, and mental health varies according to whether first birth timing and sequencing violates personal expectations for the transition into parenthood, however, these effects are not universal. The conditioning effects of expectations differ for African-Americans compared to non-Hispanic whites.No embarg
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