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作品数：724被引量：894H指数：11
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A model LayerDFN for characterizing the inherent anisotropic rocks with large-scale and dense joints
《Journal of Rock Mechanics and Geotechnical Engineering》2025年第3期1569-1584,共16页Gang Han Shuling Huang Chuanqing Zhang Xiuli Ding Yuting Zhang Yang Gao Jun He 
supported by financial support from the National Natural Science Foundation of China(Grant Nos.52309122 and U2340229);the Innovation Team of Changjiang River Scientific Research Institute(Grant No.CKSF2024329/YT).
Large-scale and heavily jointed rocks have inherent planes of anisotropy and secondary structural planes,such as dominant joint sets and random fractures,which result in significant differences in their failure mechan...
关键词：Inherent anisotropic rocks Secondary structural planes Constitutive model Crack tensor Damage tensor 
Compensation Method of LTS SQUID Gradiometer Data
《Applied Geophysics》2025年第1期132-145,234,共15页Ruidong Hou Ziqi Guo Hua Guo Yanchao Qiao Jianying Liu Jingxin Qin 
Earth Observation and Navigation Special,Research on Low Temperature Superconducting Aeromagnetic Vector Gradient Observation Technology(2021YFB3900201)project;State Key Laboratory of Remote Sensing Science project.
In this paper,we investigate the method of compensating LTS SQUID Gradiometer Systems data.By matching the attitude changes of the pod in fl ight to the anomalies of the magnetic measurement data,we find that the yaw ...
关键词：LTS SQUID MAGNETIC GRADIENT TENSOR measurement MAGNETIC compensation 
“Tensor Flow应用与开发”课程教学动画设计与应用研究——以西安工商学院为例
《信息系统工程》2025年第2期169-172,共4页李铮铮 王怀周 贾金娜 姜彦民 
2023年西安工商学院教学改革研究课题“新工科背景下TensorFlow应用与开发课程教学动画设计与应用研究”(项目编号:23YJ21)。
为响应教育部针对新型工科人才的培养要求,对人工智能类课程“Tensor Flow应用与开发”进行了教学改革。主要以该课程为例,应用Power Point软件设计开发符合学生知识能力水平的教学动画资源,并应用于课堂教学实践,通过采集相关教学数据...
关键词：新工科 Tensor Flow应用与开发 教学动画 
Numerical Study of Dynamical System Using Deep Learning Approach
《Open Journal of Applied Sciences》2025年第2期425-432,共8页Manana Chumburidze Miranda Mnatsakaniani David Lekveishvili Nana Julakidze 
This article is devoted to developing a deep learning method for the numerical solution of the partial differential equations (PDEs). Graph kernel neural networks (GKNN) approach to embedding graphs into a computation...
关键词：Deep Learning Graph Kernel Network Green’s Tensor 
Variational Bayesian Tensor Quantile Regression
《Acta Mathematica Sinica,English Series》2025年第2期733-756,共24页Yunzhi Jin Yanqing Zhang 
Supported by National Key R&D Program of China(Grant No.102022YFA1003701);National Natural Science Foundation of China(Grant No.12271472,12231017,12001479);Natural Science Foundation of Yunnan Province(Grant No.202101AU070073,202201AT070101)。
Quantile regression is widely used in variable relationship research for statistical learning.Traditional quantile regression model is based on vector-valued covariates and can be efficiently estimated via traditional...
关键词：Asymmetric Laplace model CANDECOMP PARAFAC decomposition matricization tensor quantile regression variational Bayesian 
High-integrated photonic tensor core utilizing high-dimensional lightwave and microwave multidomain multiplexing
《Light(Science & Applications)》2025年第1期227-237,共11页Xiangyan Meng Nuannuan Shi Guojie Zhang Junshen Li Ye Jin Shiyou Sun Yichen Shen Wei Li Ninghua Zhu Ming Li 
supported by the Youth Innovation Promotion Association of Chinese Academy of Sciences under grant no.2022111(N.S.);the International Partnership Program of Chinese Academy of Sciences under grant no.100GJHZ2022028GC(M.L.);the Beijing Municipal Natural Science Foundation under grant no.Z210005(M.L.);the National Natural Science Foundation of China under grant nos.61925505(M.L.),62235011(N.S.)and 62075212(N.S.).
The burgeoning volume of parameters in artificial neural network models has posed substantial challenges to conventional tensor computing hardware.Benefiting from the available optical multidimensional information ent...
关键词：tuning RESONATOR TENSOR 
Unruh Metric Tensor HUP via Planckian Space-Time Compared to HUP Based Complexity of Measured System Results to Obtain Inflaton Potential Magnitude
《Journal of High Energy Physics, Gravitation and Cosmology》2024年第4期1628-1642,共15页Andrew Walcott Beckwith 
First of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens tha...
关键词：Massive Gravitons Heisenberg Uncertainty Principle (HUP) 
Low Rank Tensor Decompositions and Approximations
《Journal of the Operations Research Society of China》2024年第4期847-873,共27页Jiawang Nie Li Wang Zequn Zheng 
supported by the NSF grant DMS-2110780.Li Wang is partially supported by the NSF grant DMS-2009689.
There exist linear relations among tensor entries of low rank tensors.These linear relations can be expressed by multi-linear polynomials,which are called generating polynomials.We use generating polynomials to comput...
关键词：TENSOR DECOMPOSITION RANK APPROXIMATION Generating polynomial 
Polar Decomposition-based Algorithms on the Product of Stiefel Manifolds with Applications in Tensor Approximation
《Journal of the Operations Research Society of China》2024年第4期874-920,共47页Jian-Ze Li Shu-Zhong Zhang 
supported by the National Natural Science Foundation of China(No.11601371);the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515010232).
In this paper,we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposition.We establish the weak convergence,...
关键词：Tensor approximation Manifold optimization Polar decomposition Convergence analysis Łojasiewicz gradient inequality Morse–Bott property 
TENSOR NEURAL NETWORK AND ITS NUMERICAL INTEGRATION
《Journal of Computational Mathematics》2024年第6期1714-1742,共29页Yifan Wang Hehu Xie Pengzhan Jin 
supported in part by the National Key Research and Development Program of China(Grant No.2019YFA0709601);by the National Center for Mathematics and Interdisciplinary Science,CAS.
In this paper,we introduce a type of tensor neural network.For the first time,we propose its numerical integration scheme and prove the computational complexity to be the polynomial scale of the dimension.Based on the...
关键词：Tensor neural network Numerical integration Fixed quadrature points Machine learning High-dimensional eigenvalue problem 
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