633 research outputs found
Optimal Dorfman Group Testing For Symmetric Distributions
We study Dorfman's classical group testing protocol in a novel setting where
individual specimen statuses are modeled as exchangeable random variables. We
are motivated by infectious disease screening. In that case, specimens which
arrive together for testing often originate from the same community and so
their statuses may exhibit positive correlation. Dorfman's protocol screens a
population of n specimens for a binary trait by partitioning it into
nonoverlapping groups, testing these, and only individually retesting the
specimens of each positive group. The partition is chosen to minimize the
expected number of tests under a probabilistic model of specimen statuses. We
relax the typical assumption that these are independent and indentically
distributed and instead model them as exchangeable random variables. In this
case, their joint distribution is symmetric in the sense that it is invariant
under permutations. We give a characterization of such distributions in terms
of a function q where q(h) is the marginal probability that any group of size h
tests negative. We use this interpretable representation to show that the set
partitioning problem arising in Dorfman's protocol can be reduced to an integer
partitioning problem and efficiently solved. We apply these tools to an
empirical dataset from the COVID-19 pandemic. The methodology helps explain the
unexpectedly high empirical efficiency reported by the original investigators.Comment: 20 pages w/o references, 2 figure
On classical string configurations
Equations which define classical configurations of strings in are
presented in a simple form. General properties as well as particular classes of
solutions of these equations are considered.Comment: 10 pages, Latex, no figures, trivial corrections, submitted to Modern
Physics Letters
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Incidence and public health burden of sunburn among beachgoers in the United States.
The beach environment creates many barriers to effective sun protection, putting beachgoers at risk for sunburn, a well-established risk factor for skin cancer. Our objective was to estimate incidence of sunburn among beachgoers and evaluate the relationship between sunburn incidence and sun-protective behaviors. A secondary analysis, of prospective cohorts at 12 locations within the U.S. from 2003 to 2009 (n = 75,614), were pooled to evaluate sunburn incidence 10-12 days after the beach visit. Behavioral and environmental conditions were cross-tabulated with sunburn incidence. Multivariable logistic regression was used to estimate the association between new sunburn and sun-protective behaviors. Overall, 13.1% of beachgoers reported sunburn. Those aged 13-18 years (16.5%), whites (16.0%), and those at beach locations along the Eastern Seaboard (16.1%), had the highest incidence of sunburn. For those spending ≥5 h in the sun, the use of multiple types of sun protection reduced odds of sunburn by 55% relative to those who used no sun protection (Odds Ratio = 0.45 (95% Confidence Interval:0.27-0.77)) after adjusting for skin type, age, and race. Acute health effects of sunburn tend to be mild and self-limiting, but potential long-term health consequences are more serious and costly. Efforts to encourage and support proper sun-protective behaviors, and increase access to shade, protective clothing, and sunscreen, can help prevent sunburn and reduce skin cancer risk among beachgoers
Milne-Eddington inversion of the Fe I line pair at 630~nm
The iron lines at 630.15 and 630.25 nm are often used to determine the
physical conditions of the solar photosphere. A common approach is to invert
them simultaneously under the Milne-Eddington approximation. The same
thermodynamic parameters are employed for the two lines, except for their
opacities, which are assumed to have a constant ratio. We aim at investigating
the validity of this assumption, since the two lines are not exactly the same.
We use magnetohydrodynamic simulations of the quiet Sun to examine the behavior
of the ME thermodynamic parameters and their influence on the retrieval of
vector magnetic fields and flow velocities. Our analysis shows that the two
lines can be coupled and inverted simultaneously using the same thermodynamic
parameters and a constant opacity ratio. The inversion of two lines is
significantly more accurate than single-line inversions because of the larger
number of observables.Comment: Accepted for publication in Astronomy and Astrophysics (Research
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