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Domain adaptive uplift modeling across heterogeneous mental health cohorts. [PDF]
Emran ANW, Al Islam ABMA.
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Deep learning-based artefact reduction in low-dose dental cone beam computed tomography with high-attenuation materials. [PDF]
Park HS, Jeon K, Seo JK.
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Solutions of An Ill-Posed Stefan Problem
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Monotone Ill–posed Problem
Acta Mathematica Sinica, English Series, 2005Let \(X\) be a real reflexive Banach space with dual \(X^*\). Let \(A:X \rightarrow X^*\) be a nonlinear continuous monotone operator. In general, the equation \(Ax=f, \;f\in R(A)\), is ill-posed, i.e., its solutions do not depend continuously on \(f\).
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Optimal discretization of Ill-posed problems
Ukrainian Mathematical Journal, 2000Summary: We present a review of results obtained in the Institute of Mathematics of National Ukrainian Academy of Sciences when investigating the optimal digitization of ill-posed problems.
Pereverzev, S. V., Solodkij, S. G.
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2013
As previously mentioned, for problems in mathematical physics Hadamard [95] postulated three requirements: a solution should exist, the solution should be unique, and the solution should depend continuously on the data. The third postulate is motivated by the fact that in all applications the data will be measured quantities.
Fioralba Cakoni, David Colton
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As previously mentioned, for problems in mathematical physics Hadamard [95] postulated three requirements: a solution should exist, the solution should be unique, and the solution should depend continuously on the data. The third postulate is motivated by the fact that in all applications the data will be measured quantities.
Fioralba Cakoni, David Colton
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The feature-binding problem is an ill-posed problem
Trends in Cognitive Sciences, 2012The binding problem arises when visual features (colour, orientation), said to be coded in independent brain modules, are to be integrated into unitary percepts. I argue that binding is an ill-posed problem, because those modules are now known to code jointly for multiple features, rendering the feature-binding issue moot.
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AN ILL-POSED PROBLEM FOR THE HEAT EQUATION
Mathematical Models and Methods in Applied Sciences, 2009The Cauchy problem for the heat equation in which Cauchy data are prescribed on the outer boundary of a domain with cavity and no data are given on the inner boundary is known to be ill-posed. By a slight modification of the boundary conditions a new problem is introduced whose solution depends continuously on the data in L2.
Payne, L. E., Philippin, G. A.
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