On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data by Makhmud A. Sadybekov, Gulnar Dildabek, Marina B. Ivanova

“…We consider an inverse problem for a one-dimensional heat equation with involution and with periodic boundary conditions with respect to a space variable. …”
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An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient by Seyed Ali Aghayan, Dariush Sardari, Seyed Rabii Mahdi Mahdavi, Mohammad Hasan Zahmatkesh

“…To do this, the effect of the controllable overall heat transfer coefficient of the cooling system is investigated. An inverse problem by a conjugated gradient with adjoint equation is used in our model. …”
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Correlation Coefficient Filtering Method for Optimal Sensor Layout Strategies in Inverse Problems by Qingyang Yuan, Xiangji Guo, Jiajie Han, Bingyue Han, Bo Zhang, Tian Lan

“…The gappy POD method is described as an inverse problem-solving technique based on proper orthogonal decomposition (POD). …”
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On a Hyperbolic Coefficient Inverse Problem via Partial Dynamic Boundary Measurements by Christian Daveau, Diane Manuel Douady, Abdessatar Khelifi

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Determination of conductivity in a heat equation by Ping Wang, Kewang Zheng

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A New Method for Optimal Regularization Parameter Determination in the Inverse Problem of Load Identification by Wei Gao, Kaiping Yu, Ying Wu

“…According to the regularization method in the inverse problem of load identification, a new method for determining the optimal regularization parameter is proposed. …”
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Entropy-Regularized Iterative Weighted Shrinkage-Thresholding Algorithm (ERIWSTA) for inverse problems in imaging. by Limin Ma, Bingxue Wu, Yudong Yao, Yueyang Teng

“…The iterative shrinkage-thresholding algorithm (ISTA) is a classic optimization algorithm for solving ill-posed linear inverse problems. Recently, this algorithm has continued to improve, and the iterative weighted shrinkage-thresholding algorithm (IWSTA) is one of the improved versions with a more evident advantage over the ISTA. …”
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Deep learning solutions for inverse problems in advanced biomedical image analysis on disease detection by Amal Alshardan, Hany Mahgoub, Nuha Alruwais, Abdulbasit A. Darem, Wafa Sulaiman Almukadi, Abdullah Mohamed

“…To solve the inverse problem, the DLSIP-ABIADD technique uses a direct mapping approach. …”
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Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations by Javad Alavi, Hossein Aminikhah

“…In this paper, the boundary value inverse problem related to the generalized Burgers–Fisher and generalized Burgers–Huxley equations is solved numerically based on a spline approximation tool. …”
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Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging by Kiwoon Kwon

“…Unique determination issues about inverse problems for elliptic partial differential equations in divergence form are summarized and discussed. …”
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Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load by Ravi P. Agarwal, Umida Baltaeva, Florence Hubert, Boburjon Khasanov

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On the cardinality of subsequence sums II by Jiang, Xing-Wang, Li, Ya-Li

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Noniterative Localized and Space-Time Localized RBF Meshless Method to Solve the Ill-Posed and Inverse Problem by Mohammed Hamaidi, Ahmed Naji, Fatima Ghafrani, Mostafa Jourhmane

“…We demonstrate that the solution of certain ill-posed and inverse problems can be accomplished without iterations. …”
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Tackling the Problem of Distributional Shifts: Correcting Misspecified, High-dimensional Data-driven Priors for Inverse Problems by Gabriel Missael Barco, Alexandre Adam, Connor Stone, Yashar Hezaveh, Laurence Perreault-Levasseur

“…Bayesian inference for inverse problems hinges critically on the choice of priors. …”
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Research of the Inverse of Tooth Surface Friction Coefficient based on Intergeneration Projection Genetic Algorithm by Fu Shuangxue, Liu Dayong

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Combination of Intermittent Search Strategy and an Improve Particle Swarm Optimization algorithm (IPSO) for damage detection of steel frame by Cuong Le Thanh, Thanh Sang-To, Hoang-Le Hoang-Le, Tran-Thanh Danh, Samir Khatir, Magd Abdel Wahab

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A deep neural network for general scattering matrix by Jing Yongxin, Chu Hongchen, Huang Bo, Luo Jie, Wang Wei, Lai Yun

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Combination of Intermittent Search Strategy and an Improve Particle Swarm Optimization algorithm (IPSO) for model updating by Thanh Sang-To, Hoang-Le Minh, Tran-Thanh Danh, Samir Khatir, Magd Abdel Wahab., Thanh Cuong-Le

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DAMAGE IDENTIFICATION OF BEAM STRUCTURE BASED ON HYBRID NEURAL GENETIC ALGORITHM by WANG MingYue, MIAO BingRong, Li XuJuan, YANG ZhongKun

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Model validation for a noninvasive arterial stenosis detection problem by H. Thomas Banks, Shuhua Hu, Zackary R. Kenz, Carola Kruse, Simon Shaw, John Whiteman, Mark P. Brewin, Stephen E. Greenwald, Malcolm J. Birch

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