The Dantzig selector (Candes and Tao, 2007) is a new approach that has been proposed for performing variable selection and model fitting on linear regression models. It uses an L1 penalty to shrink the regression coefficients towards zero, in a similar fashion to the Lasso. While both the Lasso and Dantzig selector potentially do a good job of selecting the correct variables, several researcher...

The broad range of tissue and cellular diversity of animals is generated to a large extent by the hierarchical deployment of sequence-specific transcription factors and co-factors (collectively referred to as TF's herein) during development. Our understanding of these developmental processes has been facilitated by the recognition that the activities of many TF's can be meaningfully described b...

Portfolio-based algorithm selection has seen tremendous practical success over the past two decades. This configuration procedure works by first selecting a portfolio of diverse parameter settings, and then, on given problem instance, using an selector to choose setting from with strong predicted performance. Oftentimes, both are chosen training set typical instances application domain at hand....

The interaction between tert-butylcarbamoylquinine selector and (S)-3,5-dinitrobenzoyl alanine selectand was studied experimentally and theoretically by chiroptical methods. Using a combination of experimental and calculated circular dichroism spectra, we present the first work dealing with the interaction of two dissimilar chiral molecules interacting by diverse types of interactions: ion pair...

The enantiomeric resolution of N-t-butyloxycarbonyl (N-t-Boc) amino acids D/L isomers by reversed-phase HPLC was investigated using cyclodextrins (CD's) as chiral selectors for the mobile phase. The use of a low pH (pH<4) for the mobile phase enabled the enantioseparation of N-t-Boc amino acids. The opposite elution order of D/L isomers was observed when hydroxypropyl-derivatized beta-CD was us...

We apply the nonconcave penalized likelihood approach to obtain variable selections as well as shrinkage estimators. This approach relies heavily on the choice of regularization parameter, which controls the model complexity. In this paper, we propose employing the generalized information criterion (GIC), encompassing the commonly used Akaike information criterion (AIC) and Bayesian information...

Assume a group G acts on a set. Given a subgroup H of G , by an //-selector we mean a selector of the set of all orbits of H . We investigate measurability properties of //-selectors with respect to G-invariant measures. Let us fix a set A and a group G acting on it. By p we denote a G-invariant countably additive measure on A . The most common example of such a situation is an invariant measur...

Abstract A new synthesis strategy for the preparation of cellulose derivative-based chiral selectors and subsequent mild immobilization onto pre-functionalized silica gel are introduced, utilizing Cu(I)-catalyzed alkyne-azide Huisgen cycloaddition (“ click ”) chemistry. 3,5-dimethylphenyl carbamate derivative carrying propynyl groups was prepared by a combination carbonate aminolysis isocyanate...

The nondeterministic advice complexity of the P-selective sets is known to be exactly linear. Regarding the deterministic advice complexity of the P-selective sets—i.e., the amount of Karp– Lipton advice needed for polynomial-time machines to recognize them in general—the best current upper bound is quadratic [Ko83] and the best current lower bound is linear [HT96]. We prove that every associat...