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Towards a Unified Recurrent Neural Network Theory： The Uniformly Pseudo-Projection-Anti-Monotone Net

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Acta Mathematica sinica,English series 2011年第2期27卷 377-396页

作者： Zong ben XU Chen QIAO Institute for Information and system science Faculty of Science MOE Key Lab for Intelligent Networks and Network Security Xi'an Jiaotong University Xi'an 710049 P. R. China qiaochen @mail.xjtu. edu. cn

In the past decades, various neural network models have been developed for modeling the behavior of human brain or performing problem-solving through simulating the behavior of human brain. The recurrent neural networks are the type of neural networks to model or simulate associative memory behavior of human being. A recurrent neural network （RNN） can be generally formalized as a dynamic system associated with two fundamental operators： one is the nonlinear activation operator deduced from the input-output properties of the involved neurons, and the other is the synaptic connections （a matrix） among the neurons. Through carefully examining properties of various activation functions used, we introduce a novel type of monotone operators, the uniformly pseudo-projectionanti-monotone （UPPAM） operators, to unify the various RNN models appeared in the literature. We develop a unified encoding and stability theory for the UPPAM network model when the time is discrete. The established model and theory not only unify but also jointly generalize the most known results of RNNs. The approach has lunched a visible step towards establishment of a unified mathematical theory of recurrent neural networks.

关键词： Feedback neural networks essential characteristics uniformly pseudo-projection-anti- monotone net unified theory dynamics

Unraveling the morphological patterns of a subantarctic eelpout:a geometric morphometric approach

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Integrative Zoology 2023年第2期18卷 372-384页

作者： Fernanda s.ORREGO Mathias HÜNE Hugo A.benÍTEZ Mauricio F.LANDAETA Laboratorio de Ictiología e Interacciones Biofísicas(LABITI) Instituto de BiologíaFacultad de CienciasUniversidad de ValparaísoValparaísoChile Centro de Investigación para la Conservación de los Ecosistemas Australes(ICEA) Punta ArenasChile Laboratorio de Ecología y Morfometría Evolutiva Centro de Investigación de Estudios Avanzados del MauleUniversidad Católica del MauleTalcaChile Centro de Observación Marino para Estudios de Riesgos del Ambiente Costero(COsTA-R) Universidad de ValparaísoViña del MarChile Millennium Nucleus for Ecology and Conservation of Temperate Mesophotic Reef Ecosystems(NUTME) Millennium Institute Biodiversity of Antarctic and subantarctic Ecosystems(BAsE) SantiagoChile

Phenotypic variation in organisms depends on the genotype and the environmental constraints of the habitat that they ***,for marine species inhabiting contrasting aquatic conditions,it is expected toﬁnd covari-ation between the shape and its spatial *** studied the morphology of the head and cephalic sensory canals of the eelpout Austrolycus depressiceps(4.5–22.5 cm TL)across its latitudinal distribution in south Paciﬁc(45°s–55°s).Geometric morphometric analyses show that the shape varied from individuals with larger snout and an extended suborbital canal to individuals with shorter snouts and frontally compressed suborbital *** was size variation across the sampled populations,but that size does not have a clear latitudinal *** 8%of the shape variation relates to this size variation(allometry),represented by a decrease in the relative size of the eye,and a depression of the posterior margin of the *** were spatial differences in the shape of the head,but these differences were probably caused by allometric ***,2 of the canals of the cephalic lateralis pores and the head shape showed modularity in its *** study shows that the morphology of marineﬁsh with a shallow distribution varies across distances of hundreds of kilometers(i.e.,phenotypic modulation).

关键词： Austrolycus depressiceps geometric morphometrics morphology phenotype spatial distribution

Effects of drinking water supplementation with Lactobacillus reuteri,and a mixture of reuterin and microcin J25 on the growth performance,caecal microbiota and selected metabolites of broiler chickens

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Journal of Animal science and Biotechnology 2022年第4期13卷 1209-1221页

作者： Liya Zhang Laila ben said Nadège Hervé séverine Zirah Moussa sory Diarra Ismail Fliss Institute of Nutrition and Functional Foods UniversitéLavalQCQuébecCanada sollio Agriculture MontréalQCCanada Molécules de Communication et Adaptation des Microorganismes Muséum National d’Histoire NaturelleParisFrance Guelph Research and Development Centre Agriculture and Agri-Food CanadaGuelphONCanada.

Background:since the overuse of antibiotics in animal production has led to a selection of antibiotic-resistant pathogens that affect humans and animals as *** are therefore searching for novel natural alternatives to *** this study Lactobacillus reuteri and a combination of reuterin and microcin J25(RJ)were evaluated as promoters of growth and modulators of the cecal microbiota and metabolite profiles in broiler ***-old Cobb 500 male broilers were distributed to 8 treatments:negative control(without antibiotic),positive control(bacitracin),three concentrations of RJ and three doses of *** plus *** birds(2176,34 per pen,8 pens per treatment)were reared for 35 ***:The body weight of the bacitracin and 5 mmol/L reuterin combined with 0.08μmol/L microcin J25(10RJ)treatment group was significantly higher than that of the negative control group(Psignificant effect on broiler *** high-throughput sequencing of 16s rRNA showed clustering of cecal microbial operational taxonomic unit diversity according to *** influence of bacitracin and 10RJ on bacterial community overall structure was *** promoted Ruminococcaceae,Lachnospiraceae and Lactobacillaceae,increased the relative abundance of Faecalibacterium and decreased the abundance of Bacteroides and Alistipes,while the negative control condition favored Bacteroidaceae and ***,10RJ increased the concentration of short-chain fatty acid in the cecum and changed the metabolome ***:These overall suggest that 10RJ can promote a host-friendly gut environment by changing the cecal microbiome and *** combination of natural antimicrobial agents in the drinking water had a positive effect on broiler growth and may be suitable as an alternative to antibiotic growth promoters.

关键词： Broiler chicken Lactobacillus reuteri Metabolome Microbiome Microcin J25 Reuterin sCFA

Weinstein–sobolev spaces of Exponential Type and Applications

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Acta Mathematica sinica,English series 2013年第3期29卷 591-608页

作者： Hassen ben MOHAMED Belgacem GHRIBI Department of Mathematics Faculty of Sciences of Gabs

In this paper, we introduce and study the sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.

关键词： Weinstein operator Weinstein transform distribution sobolev spaces

Lithium Isotopic Fractionation in Minerals from Pegmatites:Perspective of Crystal Chemistry

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Journal of Earth science 2024年第6期35卷 1895-1901页

作者： shan-Ke Liu ben-Xun su Key Laboratory of Mineral Resources Institute of Geology and GeophysicsChinese Academy of SciencesBeijing100029China

Lack of information regarding lithium(Li)crystal chemistry in numerous minerals,especially those containing trace amounts of Li(ranging from a few to tens of ppm),limits our understanding of Li isotopic fractionation in *** this study,we examined the Li isotopic composition and Li content in various Li-poor(e.g.,quartz or feldspar)together with Li-rich(sopdumene or lepidolite)mineral phases within granitic *** compiled a comprehensive dataset,encompassing a broad spectrum of Li contents(ranging from a few to tens of thousands of ppm)and Li isotopic values(-8‰to 41‰).The minerals exhibit distinct Li isotopic ***,elbaite and beryl show the highest values,while biotite displays a negative *** to individual minerals,whole rocks demonstrate lower Li isotopic values,with pegmatites exhibiting the highest and non-granitic pegmatite wall rocks showing the *** study also uncovers a clear“V”shape relationship between Li isotopic values and logarithm of Li contents,with different mineral groups occupying specific regions within this ***,a significant correlation was observed between average Li isotopic values and Li-O(OH,F)bond lengths in various *** discoveries underscore the crucial role of crystal chemistry in shaping the Li isotopic behavior in pegmatites from a statistical perspective.

关键词： Li isotopic fractionation Li content bond length pegmatite crystal chemistry minerals

Impact of the COVID-19 pandemic on agricultural exports

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Journal of Integrative Agriculture 2020年第12期19卷 2937-2945页

作者： LIN ben-xi Yu Yvette ZHANG school of Economics Fujian Agriculture and Forestry UniversityFuzhou 350002P.R.China Department of Agricultural Economics Texas A&M UniversityCollege StationTX 77843USA

The COVID-19 outbreak has shocked the world’s economies in the year of *** this pandemic spreads around the globe,many experts feared that the global food supplies might start running short,especially if supply chains were ***-19 also added to the uncertainty of the business ***,it is critical to understand how COVID-19 pandemic affected global food supply and *** this study,we investigate the impact of COVID-19 on agricultural export companies in China using a unique firm-level survey *** found that although on average agricultural businesses experienced declines in the exports,exports of some agricultural products especially grain and oil held strong and even increased,implying the essential demand for staple food during the *** surprisingly,exports of medicinal herb also increased significantly during the ***,exports of goods such as edible fungus and horticultural products sharply *** results also showed that in general,impact of COVID-19 on smaller firms was more severe than that on larger *** results of this study can provide useful guidance and implications for agricultural businesses and policy makers on their COVID-19 mitigation efforts to navigate this global pandemic.

关键词： COVID-19 pandemic agricultural exports business survey international trade China

selecting and optimal sizing of hybridized energy storage systems for tidal energy integration into power grid

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Journal of Modern Power systems and Clean Energy 2019年第1期7卷 113-122页

作者： seifeddine ben ELGHALI Rachid OUTBIB Mohamed benBOUZID LIs-UMR CNRs 7020 University of Aix-Marseille UMR CNRs 6027 IRDL University of Brest shanghai Maritime University

The high penetration of renewable energy systems with fluctuating power generation into the electric grids affects considerably the electric power quality and supply ***, energy storage resources are used to deal with the challenges imposed by power variability and demand-supply *** main focus of this paper is to investigate the appropriate storage technologies and the capacity needed for a successful tidal power ***, a simplified sizing method, integrating an energy management strategy, is *** method allows the selection of the adequate storage technologies and determines the required least-cost storage capacity by considering their technological limits associated with different power *** optimal solutions given by the multi-objective evolutionary algorithm are presented and analyzed.

关键词： Tidal energy Energy storage system Optimal sizing selection

Does oil price affect the value of firms？ Evidence from Tunisian listed firms

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Frontiers in Energy 2016年第1期10卷 1-13页

作者： Kaouther ZAABOUTI Ezzeddine ben MOHAMED Abdelfettah BOURI Faculty of Economics and Management of sfax University of SfaxMonastir 5046 Tunisia Department of Accounting College of Business & Economics QassimUniversity Buraidah 51431 Kingdom of Saudi Arabia

A new debate on the potential impact of oil price changes on the value of firms was initiated in this paper. Using a stochastic frontier approach, an attempt was made to derive the optimal value Q＊ of firms and calculate the Q value observed. Then the shortfall （Q＊-Q） which represents the inefficiency term was explained. starting from 19 industrial Tunisian firms listed on the Tunis stock Exchange between 2007 and 2011, the fact that variation of oil prices can largely explain distortions in the value of firms was empirically demonstrated.

关键词： oil price value of firm stochastic frontier approach industrial Tunisian firms

ON sOURCE ANALYsIs BY WAVE sPLITTING WITH APPLICATIONs IN INVERsE sCATTERING OF MULTIPLE OBsTACLEs

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Journal of Computational Mathematics 2007年第3期25卷 266-281页

作者： Fahmi ben Hassen Jijun Liu Roland Potthast Laboratoire de Modelisation Mathematique et Numerique dans les sciences de l'Ingenieur ENIT-University of Tunis-El Manar BP 37 1002 Tunis Tunisia Department of Mathematics Southeast University Nanjing 210096 China University of Reading Department of Mathematics Whiteknights PO Box 220 Berkshire RG6 6AX UK

We study wave splitting procedures for acoustic or electromagnetic scattering problems. The idea of these procedures is to split some scattered field into a sum of fields coming from different spatial regions such that this information can be used either for inversion algo- rithms or for active noise control. splitting algorithms can be based on general boundary layer potential representation or Green＇s representation formula. We will prove the unique decomposition of scattered wave outside the specified reference domain G and the unique decomposition of far-field pattern with respect to different reference domain G. Further, we employ the splitting technique for field reconstruction for a scatterer with two or more separate components, by combining it with the point source method for wave recovery. Us-ing the decomposition of scattered wave as well as its far-field pattern, the wave splitting procedure proposed in this paper gives an efficient way to the computation of scattered wave near the obstacle, from which the multiple obstacles which cause the far-field pattern can be reconstructed separately. This considerably extends the range of the decomposition methods in the area of inverse scattering. Finally, we will provide numerical examples to demonstrate the feasibility of the splitting method.

关键词： Inverse scattering Wave splitting Potential theory Near field Regularization.