REPRESENTATION

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Representations of Drinfeld doubles of Radford Hopf algebras
《Science China Mathematics》2025年第4期761-784,共24页Hua Sun Hui-Xiang Chen 
supported by National Natural Science Foundation of China(Grant Nos.12201545 and 12071412)。
In this article,we investigate the representations of the Drinfeld doubles D(Rmn(q))of the Radford Hopf algebras Rmn(q)over an algebraically closed field k,where m>1 and n>1 are integers and q∈k is a root of unity of...
关键词:Drinfeld double Radford algebra REPRESENTATION indecomposable module Auslander-Reiten sequence 
GTE:learning code AST representation efficiently and effectively
《Science China(Information Sciences)》2025年第3期389-390,共2页Yihao QIN Shangwen WANG Bo LIN Kang YANG Xiaoguang MAO 
With the development of deep learning in recent years,code representation learning techniques have become the foundation of many software engineering tasks such as program classification[1]and defect detection.Earlier...
关键词:SUCH LEARNING REPRESENTATION 
Efficient Parameterization for Knowledge Graph Embedding Using Hierarchical Attention Network
《Computers, Materials & Continua》2025年第3期4287-4300,共14页Zhen-Yu Chen Feng-Chi Liu Xin Wang Cheng-Hsiung Lee Ching-Sheng Lin 
supported by the National Science and Technology Council(NSTC),Taiwan,under Grants Numbers 112-2622-E-029-009 and 112-2221-E-029-019.
In the domain of knowledge graph embedding,conventional approaches typically transform entities and relations into continuous vector spaces.However,parameter efficiency becomes increasingly crucial when dealing with l...
关键词:Knowledge graph embedding parameter efficiency representation learning reserved entity and relation sets hierarchical attention network 
A data representation method using distance correlation
《Frontiers of Computer Science》2025年第1期1-14,共14页Xinyan LIANG Yuhua QIAN Qian GUO Keyin ZHENG 
supported by the National Key R&D Program of China(No.2021ZD0112400);the National Natural Science Foundation of China(Grant Nos.62306171,62136005,61976129,62106132,61906114,61906115);the Science and Technology Major Project of Shanxi(No.202201020101006);the Young Scientists Fund of the Natural Science Foundation of Shanxi(Nos.202203021222183,20210302124549);the Open Project Foundation of Intelligent Information Processing Key Laboratory of Shanxi Province(Nos.CICIP2023005,CICIP202205);the Science and Technology Innovation Plan for Colleges and Universities of Shanxi Province(2022L296);and Taiyuan University of Science and Technology Doctoral Research Start-up Fund Project(20222106).
Association in-between features has been demonstrated to improve the representation ability of data. However, the original association data reconstruction method may face two issues: the dimension of reconstructed dat...
关键词:ASSOCIATION REPRESENTATION distance correlation CLASSIFICATION 
Dynamic Violation of Bell’s Inequalities in the Angular Momentum Representation
《Journal of Modern Physics》2025年第1期228-247,共20页Julio Alberto López-Saldívar Octavio Castaños Sergio Cordero Ramón López-Peña Eduardo Nahmad-Achar 
A parametrization of density matrices of ddimensions in terms of the raising J+and lowering J−angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann paramete...
关键词:Density Matrix Angular Momentum Bell Inequality ENTANGLEMENT 
Bernstein Eigenvarieties
《Peking Mathematical Journal》2024年第2期471-642,共172页Christophe Breuil Yiwen Ding 
supported by the C.N.R.S and is a member of the A.N.R.project CLap-CLap ANR-18-CE40-0026;supported by the NSFC Grant No.8200905010 and No.8200800065.
We construct parabolic analogues of(global)eigenvarieties,of patched eigenvarieties and of(local)trianguline varieties,that we call,respectively,Bernstein eigenvarieties,patched Bernstein eigenvarieties,and Bernstein ...
关键词:Galois representation Automorphic representation Eigenvariety Parabolic group Companion constituent Bernstein center 
A Distributed Adaptive Second-Order Latent Factor Analysis Model
《IEEE/CAA Journal of Automatica Sinica》2024年第11期2343-2345,共3页Jialiang Wang Weiling Li Xin Luo 
supported in part by the National Natural Science Foundation of China (62102086, 62272078);the Guangdong Basic and Applied Basic Research Foundation (2022A1515140102, 2021B1515140046);the Guangdong Province Universities and College Pearl River Scholar Funded Scheme (2019)。
Dear Editor,This letter presents a distributed adaptive second-order latent factor(DAS) model for addressing the issue of high-dimensional and incomplete data representation. Compared with first-order optimizers, a se...
关键词:REPRESENTATION INCOMPLETE APPROACHING 
Discontinuities of Banana Integrals in Dispersion Relation Representation
《Chinese Physics Letters》2024年第11期12-16,共5页Xu-Liang Chen Peng-Fei Yang Wei Chen 
supported by the National Natural Science Foundation of China(Grant No.12175318);the Natural Science Foundation of Guangdong Province of China(Grant No.2022A1515011922).
We derive the discontinuities of banana integrals using the dispersion relation iteratively,and find a series of identities between the parameterized discontinuities of banana integrals(p-DOBIs).Similar to elliptic in...
关键词:DISPERSION INTEGRALS enable 
NeuPh:scalable and generalizable neural phase retrieval with local conditional neural fields
《Advanced Photonics Nexus》2024年第5期67-76,共10页Hao Wang Jiabei Zhu Yunzhe Li Qianwan Yang Lei Tian 
supported by the National Science Foundation(Grant No.1846784).
Deep learning has transformed computational imaging,but traditional pixel-based representations limit their ability to capture continuous multiscale object features.Addressing this gap,we introduce a local conditional...
关键词:neural representation phase retrieval computational imaging deep learning computational microscopy 
Representations of Hom-Jacobi-Jordan Algebras
《湖州师范学院学报》2024年第10期7-13,共7页LIU Zhiqing ZHANG Xiufu 
National Natural Science Foundation of China(12071405,11571145)。
Some relationships between the representation of Hom-Jacobi-Jordan algebra and that of Jacobi-Jordan algebra are studied.Moreover,by using the notion ofαk-anti-derivation,a property theorem of multiplicative Hom-Jaco...
关键词:Jacobi-Jordan algebra Hom-Jacobi-Jordan algebra REPRESENTATION anti-derivation 
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