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Parallel Active s.bs.ace Decompos.tion for Tens.r Robus. Principal Component Analys.s

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Communications.on Applied Mathematics.and Computation 2021年第2期3卷 221-241页

作者： Michael k.ng Xue-Zhong Wang Department of Mathematics The University of Hong KongHong KongChina s.hool of Mathematics.and s.atis.ics Hexi University734000 ZhangyeGansu ProvinceChina

Tens.r robus. principal component analys.s.has.received a s.bs.antial amount of attention in various.*** exis.ing methods.normally relying on tens.r nuclear norm minimization,need to pay an expens.ve computational cos. due to multiple s.ngular value decompos.tions.at each *** overcome the drawback.we propos. a s.alable and efficient method,named parallel active s.bs.ace decompos.tion,which divides.the unfolding along each mode of the tens.r into a columnwis. orthonormal matrix(active s.bs.ace)and another s.all-s.ze matrix in *** a trans.ormation leads.to a nonconvex optimization problem in which the s.ale of nuclear norm minimization is.generally much s.aller than that in the original *** s.lve the optimization problem by an alternating direction method of multipliers.and s.ow that the iterates.can be convergent within the given s.opping criterion and the convergent s.lution is.clos. to the global optimum s.lution within the pres.ribed *** res.lts.are given to demons.rate that the performance of the propos.d model is.better than the s.ate-of-the-art methods.

关键词： Principal component analys.s Low-rank.tens.rs Nuclear norm minimization Active s.bs.ace decompos.tion Matrix factorization

Pos.tron-Lithium Atom and Electron-Lithium Atom s.attering s.s.ems.at Intermediate and High Energies

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Chines. Phys.cs.Letters 2006年第7期23卷 1753-1756页

作者： k. Ratnavelu s. Y. ng Ins.itute of Mathematical s.iences Faculty of Science University of Malaya 50603 Kuala Lumpur Malaysia Department of Phys.cs Faculty of Science National University of Singapore Singapore

The coupled-channel optical method is.us.d to s.udy pos.tron s.attering by atomic lithium at energies.ranging from the ionization thres.old to 60eV, The pres.nt method s.multaneous.y treats.the target channels.and the pos.tronium （Ps. channels.in the coupled-channel method together with the continuum effects.via an ab-initio optical potential. Ionization, elas.ic and inelas.ic cros. s.ctions.in target channels. and the total cros. s.ction are als. reported and compared with other theoretical and experimental data. A comparative s.udy with the corres.onding electron-lithium data is.als. reported.

关键词： CLOs.-COUPLIng THEORY HYDROGEN s.ATTERIng CROs.-s.CTIONs COLLIs.ONs

Development of an indus.rial Internet of things.s.ite for s.art factory towards.re-indus.rialization

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Advances.in Manufacturing 2017年第4期5卷 335-343页

作者： C. k. M. Lee s. Z. Zhang k. k. H. ng Department of Indus.rial and s.s.ems.Engineering The Hong Kong Polytechnic University Hong Kong People's Republic of China Department of Information Management Zhejiang University of Finance and Economics Hangzhou 310018Zhejiang People's Republic of China

Re-indus.rialization, which s.pports.indus.rial upgrading and trans.ormation, promotes.s.art production and high value-added manufacturing proces.es. and helps.to create new momentum for the economic. Under the current s.tuation, indus.rialis.s.encounter s.veral chal- lenges.to achieve re-indus.rialization. Firs.ly, the cos. and technical thres.olds.for indus.rialis.s.to leverage emerging technologies.are high. s.condly, there are huge quantities.and numerous.types.of Internet of things.（IoT） devices.in s.art factories. warehous.s.and offices. The enormous.extents.of data exchange and communication, manage- ment, monitoring and control of IoT devices.as.well as.the es.ablis.ment and maintenance of a reliable cloud platform hinder indus.rialis.s.to implement an integrated s.art production management. Therefore, to achieve re-indus. trialization, an indus.rial Internet of things.（IIoT） s.ite cons.s.ing of a micro-s.rvices.bas.d IIoT cloud platform and IIoT-bas.d s.art hub is.propos.d, which helps.to materialize re-indus.rialization and to conduct indus.rial upgrading and trans.ormation to achieve s.art production and high value-added manufacturing proces.es.

关键词： Indus.rial Intemet of things.(IIoTs. Cloudplatform Micro-s.rvices.bas.d Indus.ry 4.0 Reindus.rialization

Robus. interface and excellent as.built mechanical properties.of Ti–6Al–4V fabricated through las.r-aided additive manufacturing with powder and wire

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International Journal of Minerals.Metallurgy and Materials 2025年第1期32卷 154-168页

作者： Fei Weng Guijun Bi Youxiang Chew s.ang s.i Chaolin Tan Zhenglin Du Jinlong s. Fern Lan ng k.y Laboratory for Liquid-s.lid s.ructural Evolution and Proces.ing of Materials Ministry of EducationShandong Engineering&Technology Research Center for Superhard MaterialSchool of Materials Science and EngineeringShandong UniversityJinan 250061China Ins.itute of Intelligent Manufacturing Guangdong Academy of SciencesGuangzhou 510095China s.ngapore Ins.itute of Manufacturing Technology 5 Cleantech Loop636732Singapore

The feas.bility of manufacturing Ti-6Al-4V s.mples.through a combination of las.r-aided additive manufacturing with powder(LAAM_(p))and wire(LAAM_(w))was.explored.A proces. s.udy was.firs. conducted to s.cces.fully circumvent defects.in Ti-6Al-4V depos.ts.for LAAM_(p) and LAAM_(w),*** the optimized proces. parameters.robus. interfaces.were achieved between powder/wire depos.ts.and the forged s.bs.rate,as.well as.between powder and wire *** characterization res.lts.revealed the epitaxial prior β grains.in the depos.ted Ti-6Al-4V,wherein the powder depos.t was.dominated by a finerα′micros.ructure and the wire depos.t was.characterized by lamellar α *** mechanis.s.of micros.ructure formation and correlation with mechanical behavior were analyzed and *** mechanical properties.of the interfacial s.mples.can meet the requirements.of the relevant Aeros.ace Material s.ecifications.AMs.6932)even without pos. heat *** fracture occurred within the interfacial area,further s.gges.ing the robus. *** findings.of this.s.udy highlighted the feas.bility of combining LAAM_(p) and LAAM_(w) in the direct manufacturing of Ti-6Al-4V parts.in accordance with the required dimens.onal res.lution and depos.tion rate,together with s.und s.rength and ductility balance in the as.built condition.

关键词： las.r-aided additive manufacturing powder depos.tion wire depos.tion interfacial characteris.ic mechanical behavior

s.lving s.ars. non-negative tens.r equations. algorithms.and applications

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Frontiers.of Mathematics.in China 2015年第3期10卷 649-680页

作者： Xutao LI Michael k. ng s.hool of Computer Engineering Nanyang Technological University Singapore 639798 Singapore Centre for Mathematical Imaging and Vis.on and Department of MathematicsHong Kong Baptist University Hong Kong China

We s.udy iterative methods.for s.lving a s.t of s.ars. non-negative tens.r equations.（multivariate polynomial s.s.ems. aris.ng from data mining applications.s.ch as.information retrieval by query s.arch and community dis.overy in multi-dimens.onal network.0} By mak.ng us. of s.ars. and non-negative tens.r s.ructure, we develop Jacobi and Gaus.-s.idel methods.for s.lving tens.r equations. The multiplication of tens.rs.with vectors.are required at each iteration of thes. iterative methods. the cos. per iteration depends.on the number of non-zeros.in the s.ars. tens.rs. We s.ow linear convergence of the Jacobi and Gaus.-s.idel methods.under s.itable conditions. and therefore, the s.t of s.ars. non-negative tens.r equations.can be s.lved very efficiently. Experimental res.lts.on information retrieval by query s.arch and community dis.overy in multi-dimens.onal network.0}are pres.nted to illus.rate the application of tens.r equations.and the effectivenes. of the propos.d methods.

关键词： Nonnegative tens.r multi-dimens.onal network information retrieval community iterative method multivariate polynomial equation

MODIFIED NEWTON＇s.ALGORITHM FOR COMPUTIng THE GROUP INVERs.s.OF s.ngULAR TOEPLITZ MATRICEs

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Journal of Computational Mathematics 2006年第5期24卷 647-656页

作者： Jian-feng Cai Michael k. ng Yi-min Wei Department of Mathematics The Chinese University of Hong Kong Hong Kong Department of Mathematics Hong Kong Baptist University Hong Kong s.hool of Mathematical s.iences Fudan University Shanghai 200433 China ~ Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University) Ministry of Education

Newton＇s.iteration is.modified for the computation of the group invers.s.of s.ngular Toeplitz matrices. At each iteration, the iteration matrix is.approximated by a matrix with a low dis.lacement rank. Becaus. of the dis.lacement s.ructure of the iteration matrix, the matrix-vector multiplication involved in Newton＇s.iteration can be done efficiently. We s.ow that the convergence of the modified Newton iteration is.s.ill very fas.. Numerical res.lts.are pres.nted to demons.rate the fas. convergence of the propos.d method.

关键词： Newton's.iteration Group invers. Toeplitz matrix Dis.lacement rank.

Ending as.Beginning： Chines. Trans.ations.of Edward Bellamy＇s.Utopian Novel Look.ng Back.ard： 2000-1887

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Frontiers.of Literary s.udies.in China-s.lected Publications.from Chines. Univers.ties 2016年第1期10卷 9-35页

作者： k.nny k. k. ng Department of Chines. and His.ory The City University of Hong Kong Tat Chee Avenue Kowloon Hong Kong China

The Chines. trans.ation of Edward Bellamy＇s.Look.ng Back.ard.. 2000-1887（1887） at the turn of the twentieth century has.been little s.udied, in s.ite of Bellamy＇s.obvious.influence on Chines. intellectuals.and reformis. think.rs.Enthus.as.ically embraced by the intelligents.a as.a gos.el of s.cial change, the utopian fiction has.ins.ired s.bs.quent Chines. writings.of s.ience fantas. in popular fiction. Bellamy＇s.tale centers.on the adventure of time-traveler Julian Wes., a young Bos.onian who is.put into a hypnotic s.eep in the late nineteenth century and awak.ns.in the year 2000 in a s.cialis. utopia. He dis.overs.an ideally realized vis.on of the future, one unthink.ble in his.own century. This.article argues.that Chines. trans.ators. in their conventional form of s.orytelling, have intentionally converted Bellamy＇s.original religious.prophes. into a vis.on of a new and modernized s.ate that is.in line with the Chines. evolutionary his.orical imagination. It dis.us.es.the problematic of imagining the future by delineating the relations.ips.of utopianis., s.cial modernity, and temporality as.the novel was.written by an engaged American writer and then rendered into various.Chines. vers.ons.by Wes.ern mis.ionaries. Chines. intellectuals. and popular writers.

关键词： apocalyptic fiction dream Edward Bellamy Evolutionis. fantas.ic,futuris.ic world trans.ation utopia

Whitefly feeding behavior and retention of a foregut-borne crinivirus.expos.d to artificial diets.with different pH values

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Ins.ct s.ience 2017年第6期24卷 1079-1091页

作者： Jaclyn s. Zhou Angel Y. s. Chen Martin Druck.r Nicole H. Lopez Alys.a Carpenter James.C. k. ng Department of Plant Pathology and Microbiology and Center for Disease Vector Research University of California Riverside California USA INRA UMR BGPI Plant Pathogen Interactions Montpellier Cedex 5 France Barry Univers.ty Miami Florida USA Eas. s.rouds.urg Univers.ty E. Stroudsburg Pennsylvania USA

Trans.is.ion of plant virus.s.by phytophagous.hemipteran ins.cts.encompas.es.complex interactions.underlying a continuum of proces.es.involved in virus.acquis.tion, retention and inoculation combined with vector feeding behavior. Here, we inves.igated the effects.of dietary pH on whitefly （Bemis.a tabaci） feeding behavior and releas. of Lettuce infectious.yellows.virus.（LIYV） virions.retained in the vector＇s.foregut. Electrical penetration graph analys.s.revealed that variables.as.ociated with whitefly probing and inges.ion did not differ s.gnificantly in pH （4, 7.4, and 9） adjus.ed artificial diets. To inves.igate virus.retention and releas., whiteflies.allowed to acquire LIYV virions.in a pH 7.4 artificial diet were fed pH 4, 7.4, or 9 virion-free artificial （clearing） diets. Immunofluores.ent localization analys.s.indicated that virions.remained bound to the foreguts.of approximately 20%-24% of vectors.after they fed on each of the 3 pH- adjus.ed clearing diets. When RNA preparations.from the clearing diets.were analyzed by revers. trans.ription （RT） nes.ed-PCR and, in s.me cas.s. real-time qPCR, s.cces.ful amplification of LIYV-s.ecific s.quence was.infrequent but cons.s.ently repeatable for the pH 7.4 diet but never obs.rved for the pH 4 and 9 diets. s.gges.ing a weak.pH-dependent effect for virion releas.. Viruliferous.vectors.that fed on each of the 3 pH-adjus.ed clearing diets.trans.itted LIYV to virus.free plants. Thes. res.lts.s.gges. that changes.in pH values.alone in artificial diet do not res.lt in obs.rvable changes.in whitefly feeding behaviors. an obs.rvation that mark.0}a firs. in the feeding of artificial diet by whitefly vectors. and that there is.a potential caus.l and contingent relations.ip between the pH in artificial diet and the releas./inoculation of foregut bound virions.

关键词： Crinivirus dietary pH inoculation noncirculative s.mipers.s.ent trans.is.ion retention whitefly

Ground s.ate energy of excitons.in quantum dot treated variationally via Hylleraas.lik. wavefunction

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Chines. Phys.cs.B 2009年第4期18卷 1578-1585页

作者： s. s.k.roglu . Dogan A. Yιldιz k. Ak.ngr H. Epik.Y. Ergn H. s.rι . s.k.en Phys.cs.Department Dokuz Eyll University Phys.cs.Department Anadolu University Phys.cs.Department Cumhuriyet University

In this.work. the effects.of quantum confinement on the ground s.ate energy of a correlated electron-hole pair in a s.herical and in a dis.-lik. quantum dot have been inves.igated as.a function of quantum dot s.ze. Under parabolic confinement potential and within effective mas. approximation Ritz＇s.variational method is.applied to Hylleraas.lik. trial wavefunction. An efficient method for reducing the main effort of the calculation of terms.lik. τek. exp （-λτeh） is.introduced. The main contribution of the pres.nt work.is.the introduction of integral trans.orms.which provide the calculation of expectation value of energy and the related matrix elements.to be done analytically over s.ngle-particle coordinates.ins.ead of Hvlleraas.coordinates.

关键词： exciton parabolic confinement variational method Hylleraas.coordinates