A1A_1 theory of weights for rough homogeneous singular integrals and commutators

Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: % $$\|T_\Omega \|_{L^p(w)}\le c_{n,p}\|\Omega\|_{L^\infty} [w]_{A_1}^{\frac{1}{p}}\,[w]_{A_{\infty}}^{1+\frac{1}{p'}}\|f\|_{L^p(w)}$$ % and % $$\| [b,T_{\Omega}]f\|_{L^{p}(w)}\leq c_{n,p}\|b\|_{BMO}\|\Omega\|_{L^{\infty}} [w]_{A_1}^{\frac{1}{p}}[w]_{A_{\infty}}^{2+\frac{1}{p'}}\|f\|_{L^{p}\left(w\right)},$$ % for $1<p<\infty$ and $1/p+1/p'=1$.Comment: 19 page

Sequential sampling of junction trees for decomposable graphs

The junction-tree representation provides an attractive structural property for organizing a decomposable graph. In this study, we present a novel stochastic algorithm, which we call the junction-tree expander, for sequential sampling of junction trees for decomposable graphs. We show that recursive application of the junction-tree expander, expanding incrementally the underlying graph with one vertex at a time, has full support on the space of junction trees with any given number of underlying vertices. A direct application of our suggested algorithm is demonstrated in a sequential Monte Carlo setting designed for sampling from distributions on spaces of decomposable graphs, where the junction-tree expander can be effectively employed as proposal kernel; see the companion paper Olsson et al. 2019 [16]. A numerical study illustrates the utility of our approach by two examples: in the first one, how the junction-tree expander can be incorporated successfully into a particle Gibbs sampler for Bayesian structure learning in decomposable graphical models; in the second one, we provide an unbiased estimator of the number of decomposable graphs for a given number of vertices. All the methods proposed in the paper are implemented in the Python library trilearn.Comment: 31 pages, 7 figure

Addressing Problems in Evaluating Health-Relevant Programs through Systematic Planning and Evaluation

The authors argue that inconsistent terminology is often a hindrance in assessing health program implementation, effectiveness and efficiency. Attending closely to this, they propose a model scheme for conducting such evaluations

Examining the Impacts of Intrusive Advising on the Retention and Academic Success of First-Year, At-Risk, Community College Students

As degree completion rates have steadily declined nationwide, colleges are exploring student success initiatives for retention purposes. The intrusive advising approach has shown a positive relationship with retention of students from at-risk populations. The purpose of this study was to determine whether intrusive advisement impacted the retention and academic success of underprepared community college students in their first year. This study took place in a mid-sized, suburban, public community college located in New York State. Using a quantitative methodology, this study examined archival data from the fall 2017 student cohort to determine if intrusive advisement had an impact on educational outcomes through comparison of advised and not advised student groups. The results indicated that there is a statistically significant relationship between intrusive advisement and first semester retention. This is true when examining the results of the t-tests and regression analyses. However, intrusive advisement had no significant relationship with other educational outcomes. The results showed that high school grade point average is the strongest predictor for all educational outcomes. Recommendations for practice include: development of an advisement survey, use of early alert software, budget to accommodate staffing for advisement needs, and colleges partnering with local high schools to provide pathways for college. Additionally, the recommendations for future study include: expanding research to multiple community colleges with differing student populations, examining advisement in multiple semesters of study, including part-time and non-traditional students in the research, including the frequency of advisement students receive, and a qualitative study about student’s experiences with intrusive advisement

Centrolene savagei

Number of Pages: 11Geological SciencesIntegrative Biolog