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...
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...
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...
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...
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...
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...
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...
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...
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...