Analysis of a two-grid method for semiconductor device problem

The mathematical model of a semiconductor device is governed by a system of quasi-linear partial differential equations.The electric potential equation is approximated by a mixed finite element method,and the concentration equations are approximated by a standard Galerkin method.We estimate the error of the numerical solutions in the sense of the Lqnorm.To linearize the full discrete scheme of the problem,we present an efficient two-grid method based on the idea of Newton iteration.The main procedures are to solve the small scaled nonlinear equations on the coarse grid and then deal with the linear equations on the fine grid.Error estimation for the two-grid solutions is analyzed in detail.It is shown that this method still achieves asymptotically optimal approximations as long as a mesh size satisfies H=O(h^1/2).Numerical experiments are given to illustrate the efficiency of the two-grid method.

An Opinion Spam Detection Method Based on Multi-Filters Convolutional Neural Network

With the continuous development of e-commerce,consumers show increasing interest in posting comments on consumption experience and quality of commodities.Meanwhile,people make purchasing decisions relying on other comments much more than ever before.So the reliability of commodity comments has a significant impact on ensuring consumers’equity and building a fair internet-trade-environment.However,some unscrupulous online-sellers write fake praiseful reviews for themselves and malicious comments for their business counterparts to maximize their profits.Those improper ways of self-profiting have severely ruined the entire online shopping industry.Aiming to detect and prevent these deceptive comments effectively,we construct a model of Multi-Filters Convolutional Neural Network(MFCNN)for opinion spam detection.MFCNN is designed with a fixed-length sequence input and an improved activation function to avoid the gradient vanishing problem in spam opinion detection.Moreover,convolution filters with different widths are used in MFCNN to represent the sentences and documents.Our experimental results show that MFCNN outperforms current state-of-the-art methods on standard spam detection benchmarks.

Flavonoids from mulberry leaves inhibit fat production and improve fatty acid distribution in adipose tissue in finishing pigs

This study evaluated the effects of flavonoids from mulberry leaves(FML)on plasma biochemical indices,serum activities of lipid metabolism-related enzymes,fat morphology,fatty acid composition,and lipid metabolism in different adipose tissues of finishing pigs.We used 120 Chinese hybrid barrows of Berkshire and Bama mini-pigs with an average initial body weight of 45.11±4.23 kg.The pigs were randomly assigned to five treatment groups and fed a control diet based on corn,soybean meal,and wheat bran or a control diet supplemented with 0.02%,0.04%,0.08%,or 0.16%FML.Each experimental group had six replicates(pens),with four pigs per pen.After a 7-d adaptation period,the feeding trial was conducted for 58 d.Blood and adipose tissue samples were collected from 30 pigs(one pig per pen)at the end of the test.The results showed that FML supplementation significantly decreased the feed intake to body gain ratio,the plasma concentrations of total cholesterol and free fatty acids,and the serum activity of 3-hydroxy-3-methylglutaryl coenzyme A reductase(linear or quadratic effects,P<0.05),and decreased the plasma triglyceride concentration(quadratic,P=0.07).Increasing FML supplementation increased the average daily gain and serum activities of lipoprotein lipase(linear and quadratic effects,P<0.05)and adipose triglyceride lipase(linear,P<0.05).Dietary FML supplementation decreased the adipocyte area in the dorsal subcutaneous adipose(DSA)tissue of finishing pigs(linear,P=0.05)and increased the adipocyte area in the visceral adipose tissue(quadratic,P<0.01).Increasing FML supplementation decreased the C20:1 content in DSA,abdominal subcutaneous adipose,and visceral adipose tissues of finishing pigs(P<0.05)and increased the C18:3n3 and n-3 PUFA contents(P<0.05).The lipid metabolism genes were regulated by the PPARγ-LXRa-ABCA1 signaling pathway,and their expressions differed in different adipose tissues.These findings suggest that FML improved growth performance,regulated lipid metabolism,inhibited fat production,and improved fatty acid distribution in the adipose tissue of finishing pigs,thereby improving pig fat's nutritional quality and health value.