Based on a description introduced by Robertson, Grebenkov recently introduced a powerful formalism to represent the diffusion-attenuated NMR signal for simple pore geometries such as slabs, cylinders, and spheres analytically. In this work, we extend this multiple correlation function formalism by allowing for possible variations in the direction of the magnetic field gradient waveform. This ex...

This paper presents a generative model based on the language modeling approach for sentiment analysis. By characterizing the semantic orientation of documents as “favorable” (positive) or “unfavorable” (negative), this method captures the subtle information needed in text retrieval. In order to conduct this research, a language model based method is proposed to keep the dependent link between a...

Representing manifolds using fewer examples has the advantages of eliminating the influence of outliers and noisy points and simultaneously accelerating the evaluation of predictors learned from the manifolds. In this paper, we give the definition of manifold-preserving sparse graphs as a representation of sparsified manifolds and present a simple and efficient manifold-preserving graph reducti...

In this paper we present a complete computation of the Cosmic Microwave Background (CMB) anisotropies up to third order from gravitational perturbations accounting for scalar, vector and tensor perturbations. We then specify our results to the large scale limit, providing the evolution of the gravitational potentials in a flat universe filled with matter and cosmological constant which characte...

Predicting protein function at the proteomic-scale is one of the fundamental goals in cell biology and proteomics. In this paper, we proposed a new method for characterizing protein sequences—the Weighted Segmented Pseudo-amino acid composition Moment Vector (W-SPsAA-MV). From protein sequences, the encoding method of W-SPsAA-MV is applied to protein functional class prediction associated with ...

A significant amount of recent research has focused on characterizing the diversitymultiplexing tradeoff region in multiple antenna wireless systems. In this paper we focus on finding the point on this diversity-multiplexing region that minimizes endto-end distortion. Our goal is to find the optimal balance between the increased data rate provided by multiplexing versus the error protection pro...

Human aldehyde oxidase 1 (AOX1) has been subcloned into a vector suitable for expression in Escherichia coli, and the protein has been expressed. The resulting protein is active, with sulfur being incorporated in the molybdopterin cofactor. Expression levels are modest, but 1 liter of cells supplies enough protein for both biochemical and kinetic characterization. Partial purification is achiev...

This paper deals with the strong approximate subdifferential formula for difference of two vector convex mappings in terms star difference. is obtained via a scalarization process by using real functions established Martinez-Legaz and Seeger, concept regular subdifferentiability. allows us to establish optimality conditions characterizing efficient solution general DC problem multiobjective fra...

 We consider generalized semi-infinite programming problems in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be convex. Considering a lower level constraint qualification, we derive a formula for estimating the subdifferential of the value function. Finally, we establish the Fritz-John necessary optimality con...