Results 81 to 90 of about 76,152 (305)
Iterative Methods for Data Assimilation for Burgers's Equation
, 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
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. [PDF]
Numer Math (Heidelb), 2022 Parzer F, Scherzer O.
europepmc +1 more source
Advanced Science, EarlyView.We propose the Full‐Body AI Agent, a multi‐scale collaborative framework with 7 biological‐layer agents. It unifies multi‐omics/clinical data via standardized protocols, enabling phenotype‐guided closed‐loop reasoning, quantitative evaluation, and LLM safeguards, with promising applications in tumor metastasis modeling and precision drug development ...
Aoqi Wang +11 more
wiley +1 more source
Uncertainty in structure dynamics resulting from matrix ill-conditioning
Archives of Acoustics, 2014 In the paper there are discussed certain issues concerning ill-posed problems that frequently appear in inverse problems, modal analysis, acoustics and other methods making use of matrix algebra.
J. IWANIEC
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
Asymptotic behaviour of the minimum bound method for choosing the regularization parameter
, 1998 We consider a parameter choice method (called the minimum bound method) for regularization of linear ill-posed problems that was developed by Raus and Gfrerer for the case with continuous, deterministic data.
Lukas, M.A.
core
Advanced Science, EarlyView.This review explores how hemoglobin‐based oxygen carriers (HBOCs) combined with nanozymes create multifunctional materials that deliver oxygen while maintaining redox homeostasis. Beyond artificial blood substitutes, these constructs enable wound healing with light‐triggered oxygen release, cancer therapy through enhanced oxygenation and reactive ...
Despoina Douka +4 more
wiley +1 more source
Sustainable Materials Design With Multi‐Modal Artificial Intelligence
Advanced Science, EarlyView.Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu +8 more
wiley +1 more source
Describing the phenomena of students’ representation in solving ill-posed and well-posed problems [PDF]
, 2018 Mathematical representation is an essential aspect of mathematical problem-solving. But students’ ability of an accurate representation in ill-posed problem-solving is still very minimal compared to that in well-posed problem-solving.
Santia, Ika, Rofiki, Imam
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Nonautonomous ill-posed evolution problems with strongly elliptic differential operators
Electronic Journal of Differential Equations, 2013 In this article, we consider the nonautonomous evolution problem $du/dt=a(t)Au(t), 0leq sleq t< T$ with initial condition $u(s)=chi$ where -A generates a holomorphic semigroup of angle $heta in (0,pi/2]$ on a Banach space X and $ain C([0,T]:mathbb{R}^+
Matthew A. Fury
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