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Inverse Modeling for Artifact Removal in Photonic Data: A Computational Physics and Transfer Learning-Based Approach. [PDF]

J Chem Inf Model
Vulchi RT, Morgunov V, Hniopek J, Ryabchykov O, Bocklitz T.   +4 more
europepmc   +1 more source

Denoising and Baseline Correction of Low-Scan FTIR Spectra: A Benchmark of Deep Learning Models Against Traditional Signal Processing. [PDF]

Bioengineering (Basel)
Mokari A, Raghunathan S, Shydliukh A, Ryabchykov O, Krafft C, Bocklitz T.   +5 more
europepmc   +1 more source

Convergence Rates for Ill-posed Inverse Problems with an Unknown Operator.

Van Bellegem, Sébastien, Vanhems, Anne, Johannes, Jan   +2 more
core  

The Partial Inverse Spectral Problems for a Differential Operator

Results in Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ping, Wang Yu, Shieh, Chung-Tsun, Tang, Yong   +2 more
openaire   +3 more sources

Incomplete Inverse Spectral and Nodal Problems for Differential Pencils [PDF]

Results in Mathematics, 2011
We prove uniqueness theorems for so-called half inverse spectral problem (and also for some its modification) for second order differential pencils on a finite interval with Robin boundary conditions.
Sergey Buterin, Chung-Tsun Shieh
exaly   +2 more sources

Inverse Boundary Spectral Problems

, 2001
Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid
Alexander Kachalov, Yaroslav Kurylev, Matti Lassas   +2 more
openaire   +2 more sources

Inverse nodal and inverse spectral problems for discontinuous boundary value problems

Journal of Mathematical Analysis and Applications, 2008
Inverse nodal and inverse spectral problems are studied for second-order differential operators on a finite interval with discontinuity conditions inside the interval.
Chung-Tsun Shieh, V A Yurko
exaly   +2 more sources

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Inverse Spectral Problems for a Special Acyclic Matrix

International Journal of Foundations of Computer Science, 2023
In this paper, we consider the reconstruction of matrices whose graph is a star with root at the central vertex from given partial eigen data. Three inverse spectral problems are discussed. The necessary and sufficient conditions for the solvability of the problems are studied. Furthermore, the corresponding numerical algorithms are presented.
openaire   +1 more source