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The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 8
作者:
Chen, Yong-Gang
;
Yang, Fan
;
Li, Xiao-Xiao
;
Li, Dun-Gang
收藏
  |  
浏览/下载:29/0
  |  
提交时间:2022/09/22
time-fractional nonhomogeneous diffusion equation
columnar symmetric domain
ill-posed problem
fractional Tikhonov method
The Landweber Iterative Regularization Method for Solving the Cauchy Problem of the Modified Helmholtz Equation
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 6
作者:
Chen, Yong-Gang
;
Yang, Fan
;
Ding, Qian
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2022/07/19
modified Helmholtz equation
ill-posed problem
error estimation
Landweber iterative method
A review of advances in imaging methodology in fluorescence molecular tomography
期刊论文
PHYSICS IN MEDICINE AND BIOLOGY, 2022, 卷号: 67, 期号: 10, 页码: 25
作者:
Zhang, Peng
;
Ma, Chenbin
;
Song, Fan
;
Fan, Guangda
;
Sun, Yangyang
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  |  
浏览/下载:28/0
  |  
提交时间:2022/06/10
fluorescence tomography
forward and inverse problem
ill-posedness
reconstruction method
deep learning
Optimal convergence of finite element approximation to an optimization problem with PDE constraint*
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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  |  
浏览/下载:14/0
  |  
提交时间:2022/04/29
inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
Two Regularization Methods for Identifying the Source Term Problem on the Time-Fractional Diffusion Equation with a Hyper-Bessel Operator
期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 4, 页码: 1485-1518
作者:
Yang, Fan
;
Sun, Qiaoxi
;
Li, Xiaoxiao
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  |  
浏览/下载:9/0
  |  
提交时间:2022/07/19
Time-fractional diffusion equation
source term problem
fractional Landweber regularization method
Hyper-Bessel operator
fractional Tikhonov regularization method
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276.
期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2022/04/29
inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
Stacking More Linear Operations with Orthogonal Regularization to Learn Better
会议论文
线上会议, 2022-7
作者:
Xu WX(许伟翔)
;
Cheng J(程健)
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浏览/下载:0/0
  |  
提交时间:2023/06/21
Three regularization methods for identifying the initial value of time fractional advection-dispersion equation
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 卷号: 41, 期号: 1
作者:
Yang, Fan
;
Wu, Hang-Hang
;
Li, Xiao-Xiao
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  |  
浏览/下载:9/0
  |  
提交时间:2022/03/01
Time fractional advection-dispersion equation
Identifying the initial value
Regularization method
Fuzzy C-Means Clustering Based Deep Patch Learning With Improved Interpretability for Classification Problems
期刊论文
IEEE ACCESS, 2022, 卷号: 10, 页码: 49873-49891
作者:
Huang, Yunhu
;
Chen, Dewang
;
Zhao, Wendi
;
Lv, Yisheng
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2022/07/25
Computational modeling
Training
Microwave integrated circuits
Deep learning
Data models
Artificial neural networks
Training data
Fuzzy c-means (FCM) clustering
maximal information coefficient (MIC)
random input (RI)
deep patch learning classifier
interpretability
Directional Total Variation Regularized High-Resolution Prestack AVA Inversion
期刊论文
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2022, 卷号: 60, 页码: 11
作者:
Huang, Guangtan
;
Chen, Xiaohong
;
Qu, Shan
;
Bai, Min
;
Chen, Yangkang
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2022/02/17
Mathematical model
Digital TV
Rocks
Media
Data models
Transforms
Tools
Directional total variation (DTV)
high resolution
prestack amplitude variation with angle (AVA) inversion
seismic slope
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