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[หนังสือ][B] Inverse problems: Tikhonov theory and algorithms
Inverse problems arise in practical applications whenever one needs to deduce unknowns
from observables. This monograph is a valuable contribution to the highly topical field of …
from observables. This monograph is a valuable contribution to the highly topical field of …
[หนังสือ][B] Mathematical and statistical methods for multistatic imaging
In multistatic imaging one uses waves to probe for information about an unknown medium.
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …
Multiscale adjoint waveform tomography for surface and body waves
We have developed a wavelet-multiscale adjoint scheme for the elastic full-waveform
inversion of seismic data, including body waves (BWs) and surface waves (SWs). We start …
inversion of seismic data, including body waves (BWs) and surface waves (SWs). We start …
Elastic full waveform inversion based on mode decomposition: The approach and mechanism
TF Wang, JB Cheng - Geophysical Journal International, 2017 - academic.oup.com
Elastic full waveform inversion (EFWI) aims to reduce the misfit between recorded and
modelled multicomponent seismic data for deducing a detailed model of elastic parameters …
modelled multicomponent seismic data for deducing a detailed model of elastic parameters …
On the convergence of stochastic gradient descent for linear inverse problems in Banach spaces
B **, Ž Kereta - SIAM Journal on Imaging Sciences, 2023 - SIAM
In this work we consider stochastic gradient descent (SGD) for solving linear inverse
problems in Banach spaces. SGD and its variants have been established as one of the most …
problems in Banach spaces. SGD and its variants have been established as one of the most …
Infinite-dimensional inverse problems with finite measurements
We present a general framework to study uniqueness, stability and reconstruction for infinite-
dimensional inverse problems when only a finite-dimensional approximation of the …
dimensional inverse problems when only a finite-dimensional approximation of the …
Mathematical analysis of a model-constrained inverse problem for the reconstruction of early states of prostate cancer growth
The availability of cancer measurements over time enables the personalized assessment of
tumor growth and therapeutic response dynamics. However, many tumors are treated after …
tumor growth and therapeutic response dynamics. However, many tumors are treated after …
Continuous generative neural networks
In this work, we present and study Continuous Generative Neural Networks (CGNNs),
namely, generative models in the continuous setting: the output of a CGNN belongs to an …
namely, generative models in the continuous setting: the output of a CGNN belongs to an …
Lipschitz stability of an inverse boundary value problem for a Schrödinger-type equation
In this paper we study the inverse boundary value problem of determining the potential in
the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is …
the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is …
Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization
Tikhonov regularization is one of the most commonly used methods for the regularization of
ill-posed problems. In the setting of finite element solutions of elliptic partial differential …
ill-posed problems. In the setting of finite element solutions of elliptic partial differential …