Abstract The angular synchronization problem of estimating a set unknown angles from their known noisy pairwise differences arises in various applications. It can be reformulated as an optimization on graphs involving the graph Laplacian matrix. We consider general, weighted version this problem, where impact noise differs between different pairs entries and some are erased completely; for exam...

Neural networks have become standard tools in the analysis of data, but they lack comprehensive mathematical theories. For example, there are very few statistical guarantees for learning neural from especially classes estimators that used practice or at least similar to such. In this paper, we develop a general guarantee consist least-squares term and regularizer. We then exemplify with ?1-regu...

Abstract Neural networks are becoming increasingly popular in applications, but our mathematical understanding of their potential and limitations is still limited. In this paper, we further by developing statistical guarantees for sparse deep learning. contrast to previous work, consider different types sparsity, such as few active connections, nodes, other norm-based sparsity. Moreover, theori...

Export of mRNA from the nucleus to the cytoplasm is one of the essential steps for eukaryotic gene expression. In the fission yeast Schizosaccharomyces pombe, heat shock stress at 42 degrees C causes block of mRNA export from the nucleus. We now report that saline and ethanol stresses also inhibit nuclear mRNA export, resulting in accumulation of bulk poly (A)+ RNA, as well as a specific mRNA, ...

The study estimates the growth rates of frozen food, shrimp and total export, and instability of export earnings. The study evaluates the export marketing of frozen food; shrimp and fish by using time series aggregated data from the year of 1972-73 to 2005-06. The growth rates of frozen food were 44%, 11%, and 10% during post-war period (197273 to 1982-83), pre-trade liberalization (1983-84 to ...

Several studies of the yeast Saccharomyces cerevisiae support differential regulation of heat shock mRNA (hs mRNA) and non-hs mRNA nuclear export during stress. These include the finding that hs mRNA export at 42 degrees C is inhibited in the absence of the nucleoporinlike protein Rip1p (also called Nup42p) (C. A. Saavedra, C. M. Hammell, C. V. Heath, and C. N. Cole, Genes Dev. 11:2845-2856, 19...