Tandem ring-closing metathesis reaction with a ruthenium catalyst containing a N-heterocyclic ligand

The highly active catalyst 2 was used in tandem RCM to make molecules with various ring systems containing α,β-unsaturated carbonyl compounds

Selecting the number of principal components: estimation of the true rank of a noisy matrix

Principal component analysis (PCA) is a well-known tool in multivariate statistics. One significant challenge in using PCA is the choice of the number of components. In order to address this challenge, we propose an exact distribution-based method for hypothesis testing and construction of confidence intervals for signals in a noisy matrix. Assuming Gaussian noise, we use the conditional distribution of the singular values of a Wishart matrix and derive exact hypothesis tests and confidence intervals for the true signals. Our paper is based on the approach of Taylor, Loftus and Tibshirani (2013) for testing the global null: we generalize it to test for any number of principal components, and derive an integrated version with greater power. In simulation studies we find that our proposed methods compare well to existing approaches.Comment: 29 pages, 9 figures, 4 table

Adaptive Reuse of Religious Buildings and Schools in the US: Determinants of Project Outcomes

This study addresses factors that affect the outcomes of adaptive reuse of empty religious buildings and schools in the United States. Literature-driven observable factors expected to have an impact on project outcomes include both supply side and demand side factors (building characteristics, neighborhood demographics, micro-location characteristics, macro-economic factors, etc.) are used as explanatory variables. This study uses the multinomial logit model with the outcome of adaptive reuse projects (e.g., apartments, condominiums, retail, office and cultural uses) as the dependent variable. This study has found that many supply side and demand side factors are associated with certain outcomes. It is expected that the results of this study can offer valuable basic information about associations between factors and development outcomes for adaptive reuse.Adaptive reuse; Multinomial logit model; Religious buildings and schools