We propose a new sparsity-smoothness penalty for high-dimensional generalized additive models. The combination of sparsity and smoothness is crucial for mathematical theory as well as performance for finite-sample data. We present a computationally efficient algorithm, with provable numerical convergence properties, for optimizing the penalized likelihood. Furthermore, we provide oracle results...

The generalized additive model is extended to handle negative binomial responses. The extension is complicated by the fact that the negative binomial distribution has two parameters and is not in the exponential family. The methodology is applied to data involving DNA adduct counts and smoking variables among ex-smokers with lung cancer. A more detailed investigation is made of the parametric r...

We consider a framework for learning additive classifiers based on regularized empirical risk minimization, where the regularization favors “smooth” functions. We present representations of classifiers for which the optimization problem can be efficiently solved. The first family of such classifiers are derived from a penalized spline formulation due to Eilers and Marx, which is modified to ena...

As the general secretary of Marinalg International, an association representing the worldwide producers of carrageenan, I would like to comment on Tobacman’s review article in EHP (1). Authorities worldwide have extensively reviewed carrageenan safety. Contrary to Tobacman’s conclusion (1), all of these authorities agree that carrageenan may be used safely in food. As recently as June 2001, the...

the main purpose of cementing of the well is to provide effective zonal isolation for the entire life of wells. the standard cements cannot prevent loss of zonal isolation when the stress level in the well cement is severely fluctuated. since elastic cements improve elastic properties, recently, a number of studies have been done in this area. for this purpose, a nanoparticle, named ex-ripi, wa...

begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract}

The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.