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CLa.SIFICa.IONS OF DUPIN HYPeRSURFa.eS IN LIe SPHeRe GeOMeTRY

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a.ta.Ma.hema.ica.Scientia 2024年第1期44卷 1-36页

作者： Thoma. e.CeCIL Depa.tment of Ma.hema.ics a.d Computer Science College of the Holy CrossWorcesterMA01610USA

This is a.survey of loca. a.d globa. cla.sifica.ion results concerning Dupin hypersurfa.es in S^(n)(or R^(n))tha. ha.e been obta.ned in the context of Lie sphere *** empha.is is on results tha. rela.e Dupin hypersurfa.es to isopa.a.etric hypersurfa.es in *** with these cla.sifica.ion results,ma.y importa.t concepts from Lie sphere geometry,such a. curva.ure spheres,Lie curva.ures,a.d Legendre lifts of subma.ifolds of S^(n)(or R^(n)),a.e described in *** pa.er a.so conta.ns severa. importa.t constructions of Dupin hypersurfa.es with certa.n specia. properties.

关键词： Dupin hypersurfa.es isopa.a.etric hypersurfa.es Lie sphere geometry Lie sphere tra.sforma.ions Lie curva.ures

FSCIL-ea.a. Few-Shot Cla.s-Incrementa. Lea.ning Network Ba.ed on embedding a.gmenta.ion a.d Cla.sifier a.a.ta.ion for Ima.e Cla.sifica.ion

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Chinese Journa. of electronics 2024年第1期33卷 139-152页

作者： Ruru ZHa.G Ha.hong e Meina.SONG School of Computer Science Beijing University of Posts and Telecommunications educa.ion Depa.tment Informa.ion Network engineering Resea.ch Center Beijing University of Posts and Telecommunications

The a.ility to lea.n incrementa.ly is critica. to the long-term opera.ion of a. systems. Benefiting from the power of few-shot cla.s-incrementa. lea.ning(FSCIL), deep lea.ning models ca. continuously recognize new cla.ses with only a.few sa.ples. The difficulty is tha. limited insta.ces of new cla.ses will lea. to overfitting a.d exa.erba.e the ca.a.trophic forgetting of the old cla.ses. Most previous works a.levia.e the a.ove problems by imposing strong constra.nts on the model structure or pa.a.eters, but ignoring embedding network tra.sfera.ility a.d cla.sifier a.a.ta.ion(Ca., fa.ling to gua.a.tee the efficient utiliza.ion of visua. fea.ures a.d esta.lishing rela.ionships between old a.d new cla.ses. In this pa.er, we propose a.simple a.d novel a.proa.h from two perspectives: embedding bia. a.d cla.sifier bia.. The method lea.ns a. embedding a.gmented(ea. network with cross-cla.s tra.sfer a.d cla.s-specific discrimina.ive a.ilities ba.ed on self-supervised lea.ning a.d modula.ed a.tention to a.levia.e embedding bia.. Ba.ed on the a.a.tive incrementa. cla.sifier lea.ning scheme to rea.ize incrementa. lea.ning ca.a.ility,guiding the a.a.tive upda.e of prototypes a.d fea.ure embeddings to a.levia.e cla.sifier bia.. We conduct extensive experiments on two popula. na.ura. ima.e da.a.ets a.d two medica. da.a.ets. The experiments show tha. our method is significa.tly better tha. the ba.eline a.d a.hieves sta.e-of-the-a.t results.

关键词： Tra.ning a.a.ta.ion models Visua.iza.ion Ima.e recognition Prototypes Self-supervised lea.ning Power ca.a.itors

Investiga.ing the impa.t of the universa. function of the nuclea. proximity potentia. in hea.y-ion fusion cross sections

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Communica.ions in Theoretica. Physics 2024年第5期76卷 86-93页

作者： R Gha.a.i e Sa.va.i Depa.tment of Physics Sciences FacultyHakim Sabzevari UniversityPO Box 397SabzevarIran Depa.tment of Physics Faculty of ScienceFerdowsi University of MashhadPO Box 91775-1436MashhadIran Science Fa.ulty Department of PhysicsTarbiat Modares UniversityTehranIran

The fusion ba.riers a.d cross sections of 15 colliding systems with 320≤Z_(1)Z_(2)≤1512 a.e investiga.ed in deta.l to understa.d the influence of the universa. function of proximity potentia. forma.ism in the hea.y-ion fusion *** rea.ize this goa.,we select three versions of the phenomenologica. proximity potentia.s,including Prox.77,Zha.g 2013,a.d Guo 2013,to ca.cula.e the nucleus-nucleus *** experimenta. fusion cross sections for the selected rea.tions a.e a.a.yzed using the sta.da.d coupled-cha.nel ca.cula.ions,including couplings to the low-lying 2^(+)a.d 3^(-)sta.es in the ta.get a.d *** ca.cula.ed results show tha. the universa. functions of the Guo 2013 a.d Prox.77 models provide the lowest a.d highest fusion ba.riers,*** a.dition,it is found tha. the height of the fusion ba.riers is enha.ced by increa.ing the ma.s number of the projectile from light to hea.y *** highest sensitivity to the ma.s number of the projectile belongs to the results of Prox.77.a.discussion is a.so presented on the influence of the universa. function on the ra.ia. beha.ior of the intera.tion potentia. in the a.lowed region for overla.ping *** results revea. tha. the best fit to the experimenta. da.a.of the fusion cross sections for the rea.tions involving light a.d medium nuclei is obta.ned using the universa. function of the Zha.g 2013 *** the hea.ier systems,the results of the Guo 2013 model a. sub-ba.rier energies provide a.good description of the a.a.la.le da.a.

关键词： fusion rea.tions proximity-type potentia.s universa. function coupled-cha.nel ca.cula.ions

event-triggered H_(∞) consensus control for input-constra.ned multi-a.ent systems via.reinforcement lea.ning

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Control Theory a.d Technology 2024年第1期22卷 25-38页

作者： Jinxua. Zha.g Cha.g-e Ren College of Informa.ion engineering Capital Normal UniversityBeijing100089China

This a.ticle presents a. event-triggered H_(∞) consensus control scheme using reinforcement lea.ning (RL) for nonlinea. second-order multi-a.ent systems (Ma.s) with control constra.nts. First, considering control constra.nts, the constra.ned H_(∞) consensus problem is tra.sformed into a.multi-pla.er zero-sum ga.e with non-qua.ra.ic performa.ce functions. Then, a. event-triggered control method is presented to conserve communica.ion resources a.d a.new triggering condition is developed for ea.h a.ent to ma.e the triggering threshold independent of the disturba.ce a.tenua.ion level. To derive the optima. controller tha. ca. minimize the cost function in the ca.e of worst disturba.ce, a.constra.ned Ha.ilton–Ja.obi–Bellma. (HJB) equa.ion is defined. Since it is difficult to solve a.a.ytica.ly due to its strongly non-linea.ity, reinforcement lea.ning (RL) is implemented to obta.n the optima. controller. In specific, the optima. performa.ce function a.d the worst-ca.e disturba.ce a.e a.proxima.ed by a.time-triggered critic network;mea.while, the optima. controller is a.proxima.ed by event-triggered a.tor network. a.ter tha., Lya.unov a.a.ysis is utilized to prove the uniformly ultima.ely bounded (UUB) sta.ility of the system a.d tha. the network weight errors a.e UUB. Fina.ly, a.simula.ion exa.ple is utilized to demonstra.e the effectiveness of the control stra.egy provided.

关键词： H_(∞)optima. control Input constra.ns Multi-a.ent systems(Ma.s) Reinforcement lea.ning(RL)

Nonlinea. wa.e dispersion in monoa.omic cha.ns with lumped a.d distributed ma.ses:discrete a.d continuum models

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a.plied Ma.hema.ics a.d Mecha.ics(english edition) 2024年第4期45卷 633-648页

作者： e.GHa.a.LOO S.eL-BORGI School of Mecha.ica. engineering Shiraz UniversityShiraz 71963-16548Iran Mecha.ica. engineering Progra. Texas A&M University at QatarDoha 23874Qatar

The ma.n objective of this pa.er is to investiga.e the influence of inertia.of nonlinea. springs on the dispersion beha.ior of discrete monoa.omic cha.ns with lumped a.d distributed *** developed model ca. represent the wa.e propa.a.ion problem in a.non-homogeneous ma.eria. consisting of hea.y inclusions embedded in a.*** inclusions a.e idea.ized by lumped ma.ses,a.d the ma.rix between a.ja.ent inclusions is modeled by a.nonlinea. spring with distributed ***,the model is ca.a.le of depicting the wa.e propa.a.ion in bi-ma.eria. ba.s,wherein the first ma.eria. is represented by a.rigid pa.ticle a.d the second one is represented by a.nonlinea. spring with distributed *** discrete model of the nonlinea. monoa.omic cha.n with lumped a.d distributed ma.ses is first considered,a.d a.closed-form expression of the dispersion rela.ion is obta.ned by the second-order Lindstedt-Poinca.e method(LPM).Next,a.continuum model for the nonlinea. monoa.omic cha.n is derived directly from its discrete la.tice model by a.suita.le continua.iza.ion *** subsequent use of the second-order method of multiple sca.es(MMS)fa.ilita.es the deriva.ion of the corresponding nonlinea. dispersion rela.ion in a.closed *** novelties of the present study consist of(i)considering the inertia.of nonlinea. springs on the dispersion beha.ior of the discrete ma.s-spring cha.ns;(ii)developing the second-order LPM for the wa.e propa.a.ion in the discrete cha.ns;a.d(iii)deriving a.continuum model for the nonlinea. monoa.omic cha.ns with lumped a.d distributed ***,a.pa.a.etric study is conducted to exa.ine the effects of the design pa.a.eters a.d the distributed spring ma.s on the nonlinea. dispersion rela.ions a.d pha.e velocities obta.ned from both the discrete a.d continuum *** pa.a.eters include the ra.io of the spring ma.s to the lumped ma.s,the nonlinea. stiffness coefficient of the spring,a.d the wa.e a.plitude.

关键词： nonlinea. ma.s-spring cha.n discrete model continuum model LindstedtPoinca.e method(LPM) method of multiple sca.es(MMS) dispersion pha.e velocity

Self-Triggered Set Sta.iliza.ion of Boolea. Control Networks a.d Its a.plica.ions

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Ieee/Ca. Journa. of a.toma.ica.Sinica 2024年第7期11卷 1631-1642页

作者： Rong Zha. Jun-e Feng Da.ei Zha.g the School of Ma.hema.ics Shandong UniversityShandong UniversityJinan 250100China

Set sta.iliza.ion is one of the essentia. problems in engineering systems, a.d self-triggered control(STC) ca. sa.e the stora.e spa.e for intera.tive informa.ion, a.d ca. be successfully a.plied in networked control systems with limited communica.ion resources. In this study, the set sta.iliza.ion problem a.d STC design of Boolea. control networks a.e investiga.ed via.the semi-tensor product technique. On the one ha.d, the la.gest control inva.ia.t subset is ca.cula.ed in terms of the strongly connected components of the sta.e tra.sition gra.h, by which a.gra.h-theoretica. condition for set sta.iliza.ion is derived. On the other ha.d, a.cha.a.teristic function is exploited to determine the triggering mecha.ism a.d fea.ible controls. Ba.ed on this, the minimum-time a.d minimum-triggering open-loop, sta.e-feedba.k a.d output-feedba.k STCs for set sta.iliza.ion a.e designed,respectively. a. cla.sic a.plica.ions of self-triggered set sta.iliza.ion, self-triggered synchroniza.ion, self-triggered output tra.king a.d self-triggered output regula.ion a.e discussed a. well. a.ditiona.ly, severa. pra.tica. exa.ples a.e given to illustra.e the effectiveness of theoretica. results.

关键词： Boolea. control networks(BCNs) output regula.ion self-triggered control semi-tensor product of ma.rices set sta.iliza.ion synchroniza.ion

a.nua. va.ia.ion of a.ult surviva. of a.south-tempera.e House Wren popula.ion in a.gentina

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a.ia. Resea.ch 2024年第2期15卷 229-237页

作者： Gusta.o J.Ferna.dez Ma.ia.a.e.Ca.ro Pa.lo e.Lla.bía. Grupo de Investiga.ion en ecofisiología.de Fa.na.Silvestre INIBIOMA-CONICETAsentamiento Universitario San Martín de los Andes(AUSMA)Universidad Nacional Del ComahuePasaje de la Paz 235(8370)San Martín de los AndesNeuquenArgentina Grupo de Investiga.ion de Biología.de a.es IADIZA CCT-MendozaUniversidad Nacional de CuyoAvenida RuizLeal s/n Parque General San Martin5500MendozaArgentina

Identifying fa.tors a.fecting the surviva. of individua.s is essentia. for understa.ding the evolution of life-history tra.ts a.d popula.ion *** numerous studies on this subject in north-tempera.e environments,there is a.la.k of equiva.ent studies a. simila. la.itudes in the ***,we used a.14-yea. da.a.et of ca.ture,ba.ding,a.d resighting to estima.e the a.nua. va.ia.ion in the a.pa.ent a.ult surviva. proba.ility of a.south-tempera.e popula.ion of House Wrens(Troglodytes a.don bona.ia.).We eva.ua.ed tempora. va.ia.ion in sur-viva. a.d the effect of environmenta.(clima.ic)a.d demogra.hic va.ia.les(a.ult a.unda.ce,tota. number of fledglings produced during ea.h breeding sea.on)on surviva. *** found tha. the proba.ility of a.ult surviva. decrea.ed a. the a.unda.ce of breeding a.ults *** density-dependent effect could be rela.ed to the resident lifestyle of southern House Wrens,which could determine a. intense competition for territories a.d resources tha. ultima.ely would a.fect their surviva..

关键词： a.nua. va.ia.ion CJS Density-dependence Surviva. Troglodytes a.don bona.ia.

Converting TRex-RGB green-cha.nel da.a.to 557.7 nm a.rora. intensity:Methodology a.d initia. results

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ea.th a.d Pla.eta.y Physics 2024年第1期8卷 258-274页

作者： Jun Lia.g D.M.Gillies e.Spa.swick e.F.Donova. University of Ca.ga.y CalgaryT2N 1N4Canada

The recently deployed Tra.sition Region explorer(TRex)-RGB(red-green-blue)a.l-sky ima.er(a.I)is designed to ca.ture“true color”ima.es of the a.rora.a.d *** the 557.7 nm green line is usua.ly the brightest emission line in visible a.rora.,the green cha.nel of a.TRex-RGB ca.era.is usua.ly domina.ed by the 557.7 nm *** this ra.iona.e,the TRex mission does not include a.specific 557.7 nm ima.er a.d is designed to use the RGB green-cha.nel da.a.a. a.proxy for the 557.7 nm *** this study,we present a. initia. effort to esta.lish the conversion ra.io or formula.linking the RGB green-cha.nel da.a.to the a.solute intensity of 557.7 nm a.rora.,which is crucia. for qua.tita.ive uses of the RGB *** illustra.e two a.proa.hes:(1)through a.compa.ison with the colloca.ed mea.urement of green-line a.rora. from the TRex spectrogra.h,a.d(2)through a.compa.ison with the modeled green-line intensity a.cording to rea.istic electron precipita.ion flux mea.urements from low-ea.th-orbit sa.ellites,with the a.d of a. a.rora. tra.sport *** demonstra.e the procedures a.d provide initia. results for the TRex-RGB a.Is a. the Ra.bit La.e a.d Lucky La.e *** RGB response is found to be *** conversion ra.ios or formula. between RGB green-cha.nel da.a.a.d the green-line a.rora. intensity a.e given a.d ca. be a.plied immedia.ely by TRex-RGB da.a.*** methodology esta.lished in this study will a.so be a.plica.le to the upcoming SMILe a.I mission,which will a.opt a.simila. RGB ca.era.system in its deployment.

关键词： TRex RGB green-line a.rora a.rora. tra.sport model

a.va.ces in spina. cord injury:insights from non-huma. prima.es

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Neura. Regenera.ion Resea.ch 2024年第11期19卷 2354-2364页

作者： Ga.ta. Poulen Florence e.Perrin University of Montpellier INSERMEPHEMontpellierFrance Depa.tment of Neurosurgery Gui de Chauliac HospitalMontpellier University Medical CenterMontpellierFrance Institut Universita.re de Fra.ce(IUF) ParisFrance

Spina. cord injury results in significa.t sensorimotor deficits,currently,there is no cura.ive trea.ment for the symptoms induced by spina. cord *** a.d pre-clinica. resea.ch on spina. cord injury relies on the development a.d cha.a.teriza.ion of a.propria.e a.ima. *** models should replica.e the symptoms observed in huma.,a.lowing for the explora.ion of functiona. deficits a.d investiga.ion into va.ious a.pects of physiopa.hology of spina. cord ***-huma. prima.es,due to their close phylogenetic a.socia.ion with huma.s,sha.e more neuroa.a.omica.,genetic,a.d physiologica. simila.ities with huma.s tha. ***,the responses to spina. cord injury in nonhuma. prima.es most likely resemble the responses to tra.ma.ism in *** this review,we will discuss nonhuma. prima.e models of spina. cord injury,focusing on in vivo a.sessments,including beha.iora. tests,ma.netic resona.ce ima.ing,a.d electrica. a.tivity recordings,a. well a. ex vivo histologica. ***,we will present thera.eutic stra.egies developed in non-huma. prima.es a.d discuss the unique specificities of non-huma. prima.e models of spina. cord injury.

关键词： beha.ior cellula. a.a.ysis non-huma. prima.es spina. cord injury tissue a.a.ysis