Results 41 to 50 of about 85,642,486 (133)

Closing the Loop: High‐Precision 3D Photofabrication in Living Tissues

open access: yesAdvanced Science, Volume 13, Issue 58, 19 October 2026.
Writing 3D microstructures inside living tissue demands more than laser access; It demands information. Hierarchical sensing captures thermal and mechanical states across pulse‐train, voxel, and structure timescales, feeding a controller that steers the laser in real time.
Amirbahador Zeynali   +2 more
wiley   +1 more source

Ill-posed Problems and Instruments' Weakness [PDF]

open access: yes
Potscher (Econometrica, 2002) has pointed out that several estimation problems in econometrics are ill-posed. This paper further studies the nature of ill-posed problems in parametric models.
Grant Hillier, Giovanni Forchini
core  

UniNS: A Neuro‐Symbolic Framework for Structure‐Regularized Causal Modeling of Catalytic Nanorobot Swarms in Confined Tumor Microenvironments

open access: yesApplied Research, Volume 5, Issue 5, October 2026.
UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen   +3 more
wiley   +1 more source

Structurally Cascaded Physics‐Informed Graph Neural Networks for Mechanotransduction‐Aware Tumor Microenvironment Modeling

open access: yesApplied Research, Volume 5, Issue 5, October 2026.
This study introduces a structurally cascaded physics‐informed graph neural network to model tumor microenvironments accurately. By enforcing a directional dependency from mechanical strain to biochemical secretion, the method eliminates unphysical artifacts and significantly improves predictive accuracy for precision healthcare applications.
Xinyuan Chen   +2 more
wiley   +1 more source

Complexity of linear ill-posed problems in Hilbert space [PDF]

open access: yes, 2016
Information complexity of ill-posed problems may be seen as controversial. On the one hand side there were pessimistic results stating that the complexity is innite, while on the other hand side the theory of ill-posed problems is well developed.
Mathé, Peter, Pereverzev, Sergei V.
core  

Iterative Methods for Data Assimilation for Burgers's Equation

open access: yes, 2006
In this paper we consider one-dimensional flow governed by Burgers' equation. We analyze two iterative methods for data assimilation problem for this equation. One of them so called adjoint optimization method, is based on minimization in L 2-norm.
Weinerfelt, Per,   +2 more
core   +1 more source

Well-Posedness of Measurement Error Models for Self-Reported Data [PDF]

open access: yes
It is widely admitted that the inverse problem of estimating the distribution of a latent variable X* from an observed sample of X, a contaminated measurement of X*, is ill-posed.
Yonghong An, Yingyao Hu
core   +2 more sources

Modified Minimal Error Method for Nonlinear Ill-Posed Problems

open access: yes, 2017
An error estimate for the minimal error method for nonlinear ill-posed problems under general a Hölder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Hölder-type source condition,
M. Sabari, Santhosh George
core   +1 more source

Convergence of Tikhonov regularization for constrained Ill-posed inverse problems [PDF]

open access: yes, 1992
Projet IDENTIn this paper convergence and rate of convergence results for nonlinear constrained ill-posed inverse problems formulated as regularized least squares problems are ...
Chavent, Guy, Kunisch, K.
core   +1 more source

Preconditioned iterative regularization for Ill-posed problems

open access: yes, 1992
Hanke, Martin; Nagy, James; Plemmons, Robert. (1992). Preconditioned iterative regularization for Ill-posed problems.
Hanke, Martin   +2 more
core  

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