EQUIVARIANT

作品数：76被引量：83H指数：4
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相关作者：林金官李继彬刘正荣顾侠杨忠华更多>>
相关机构：江苏教育学院云南大学昆明理工大学北京师范大学更多>>
相关期刊：《npj Computational Materials》《Communications in Mathematics and Statistics》《中国科学：数学》《Frontiers of Mathematics in China》更多>>
相关基金：国家自然科学基金上海市教育委员会重点学科基金湖南省自然科学基金中国博士后科学基金更多>>
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A Note on the Equivariant Coarse Embedding into Hilbert Spaces
《南开大学学报(自然科学版)》2024年第6期76-80,共5页Fu Benyin Liu Dongyan 
Supported by National Natural Science Foundation of China(11871342)。
Several equivalent formulations are given for equivariant coarse embedding into Hilbert space.Using these equivalent definitions,it is proved that for a metric space X and a Hilbert space H with proper and isometric g...
关键词：equivariant coarse emdedding proper and isometric group action amenable groups 
Multiple integer candidates ambiguity resolution:a unification ambiguity resolution algorithm
《Satellite Navigation》2024年第3期119-130,共12页Shengfeng Gu Lizhe Fang Weiping Jiang 
National Natural Science Foundation of China,42174029,Shengfeng Gu.
Among all the ambiguity resolution techniques,the Full Ambiguity Resolution(FAR),Partial Ambiguity Resolution(PAR)and Best Integer Equivariant(BIE)estimator are widely used.Although the researches have been done on th...
关键词：GNSS Ambiguity resolution Best integer equivariant estimator Covariance matrix MICAR 
Entire Sign-Changing Solutions to the Fractional Critical Schrodinger Equation
《Annals of Applied Mathematics》2024年第3期219-248,共30页Xingdong Tang Guixiang Xu Chunyan Zhang Jihui Zhang 
supported by National Key Research and Development Program of China(No.2020YFA0712900);NSFC(No.112371240 and No.12431008);supported by NSFC(No.12001284)。
In this paper,we consider the fractional critical Schrödinger equation(FCSE)(-Δ)^(s)u-|u|2^(*)s-2 u=0,where u∈˙H^(s)(R^(N)),N≥4,0
关键词：Fractional critical Schrodinger equation sign-changing solution the concentration-compactness principle the equivariant group action the mountain pass theorem 
Equivariant Tautological Integrals on Flag Varieties
《Chinese Annals of Mathematics,Series B》2024年第3期463-486,共24页Xiaobo ZHUANG 
supported by the National Natural Science Foundation of China(No.11901528);Zhejiang Provincial Natural Science Foundation of China(No.LQ19A010011);the Fundamental Research Funds of Zhejiang Sci-Tech University(No.2021Q045).
The author apples the Atiyah-Bott-Berline-Vergne formula to the equivariant tautological integrals over flag varieties of types A,B,C,D,and recovers the formulas expressing the integrals as iterated residues at infini...
关键词：LOCALIZATION Flag variety RESIDUE 
Positron Emission Tomography Lung Image Respiratory Motion Correcting with Equivariant Transformer
《Computers, Materials & Continua》2024年第5期3355-3372,共18页Jianfeng He Haowei Ye Jie Ning Hui Zhou Bo She 
the National Natural Science Foundation of China(No.82160347);Yunnan Provincial Science and Technology Department(No.202102AE090031);Yunnan Key Laboratory of Smart City in Cyberspace Security(No.202105AG070010).
In addressing the challenge of motion artifacts in Positron Emission Tomography (PET) lung scans, our studyintroduces the Triple Equivariant Motion Transformer (TEMT), an innovative, unsupervised, deep-learningbasedfr...
关键词：PET lung scans respiratory motion correction triple equivariant motion transformer lie group motion decomposition 
Equivariant Chern Classes of Orientable Toric Origami Manifolds
《Chinese Annals of Mathematics,Series B》2024年第2期221-234,共14页Yueshan XIONG Haozhi ZENG 
supported by the National Natural Science Foundation of China(Nos.11801186,11901218)。
A toric origami manifold,introduced by Cannas da Silva,Guillemin and Pires,is a generalization of a toric symplectic manifold.For a toric symplectic manifold,its equivariant Chern classes can be described in terms of ...
关键词：Equivariant Chern classes Toric origami manifolds Unitary structures Spin structures 
Higher-order equivariant neural networks for charge density prediction in materials
《npj Computational Materials》2024年第1期1566-1575,共10页Teddy Koker Keegan Quigley Eric Taw Kevin Tibbetts Lin Li 
supported by the Under Secretary of Defense for Research and Engineeringunder Air Force Contract No.FA8702-15-D-0001.
The calculation of electron density distribution using density functional theory(DFT)in materials and molecules is central to the study of their quantum and macro-scale properties,yet accurate and efficient calculatio...
关键词：EQUIVARIANT CHARGE enable 
Chemical-motif characterization of short-range order with E(3)-equivariant graph neural networks
《npj Computational Materials》2024年第1期983-992,共10页Killian Sheriff Yifan Cao Rodrigo Freitas 
supported by the MathWorks Ignition Fund,MathWorks Engineering Fellowship Fund,and the Portuguese Foundation for International Cooperation in Science,Technology,and Higher Education in the MIT-Portugal Program;supported by the Research Support Committee Funds from the School of Engineering at the Massachusetts Institute of Technology;This work used the Expanse supercomputer at the San Diego Supercomputer Center through allocation MAT210005 from the Advanced Cyberinfrastructure Coordination Ecosystem:Services&Support(ACCESS)program,which is supported by National Science Foundation grants#2138259,#2138286,#2138307,#2137603,and#2138296;the Extreme Science and Engineering Discovery Environment(XSEDE),which was supported by National Science Foundation grant number#1548562.
Crystalline materials have atomic-scale fluctuations in their chemical composition that modulate various mesoscale properties.Establishing chemistry–microstructure relationships in such materials requires proper char...
关键词：properties CHARACTERIZATION PROPERTY 
An improved GNSS ambiguity best integer equivariant estimation method with Laplacian distribution for urban low-cost RTK positioning被引量：1
《Satellite Navigation》2024年第1期109-124,共16页Ying Liu Wanke Liu Xiaohong Zhang Yantao Liang Xianlu Tao Liye Ma 
funded by the National Key R&D Program of China(Grant No.2021YFC3000502);the National Natural Science Foundation of China(Grant No.42274034);the Major Program(JD)of Hubei Province(Grant No.2023BAA026);the Special Fund of Hubei Luojia Laboratory(Grant No.2201000038);the Research project of Chongqing Administration for Marktet Regulation,China(Grant No.CQSJKJ2022037).
The integer least squares(ILS)estimation is commonly used for carrier phase ambiguity resolution(AR).More recently,the best integer equivariant(BIE)estimation has also attracted an attention for complex application sc...
关键词：Ambiguity resolution Best integer equivariant estimation Laplacian distribution Urban environments Low-cost GNSS receivers Real-time kinematic 
The Enhanced Period Map and Equivariant Deformation Quantizations of Nilpotent Orbits
《Acta Mathematica Sinica,English Series》2024年第3期885-934,共50页Shi Lin YU 
Supported by China NSFC grants(Grant Nos.12001453 and 12131018);Fundamental Research Funds for the Central Universities(Grant Nos.20720200067 and 20720200071)。
In a previous paper,the author and his collaborator studied the problem of lifting Hamil-tonian group actions on symplectic varieties and Lagrangian subvarieties to their graded deformation quantizations and apply the...
关键词：Coadjoint orbit method deformation quantization Harish-Chandra modules semisimple Liegroups 
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