[หนังสือ][B] Inverse problems: Tikhonov theory and algorithms

K Ito, B ** - 2014 - books.google.com
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 …

[หนังสือ][B] Mathematical and statistical methods for multistatic imaging

H Ammari, J Garnier, W **g, H Kang, M Lim, K Sølna… - 2013 - Springer
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 …

Multiscale adjoint waveform tomography for surface and body waves

YO Yuan, FJ Simons, E Bozdağ - Geophysics, 2015 - library.seg.org
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 …

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 …

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 …

Infinite-dimensional inverse problems with finite measurements

GS Alberti, M Santacesaria - Archive for Rational Mechanics and Analysis, 2022 - Springer
We present a general framework to study uniqueness, stability and reconstruction for infinite-
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

E Beretta, C Cavaterra, M Fornoni, G Lorenzo… - SIAM Journal on Applied …, 2024 - SIAM
The availability of cancer measurements over time enables the personalized assessment of
tumor growth and therapeutic response dynamics. However, many tumors are treated after …

Continuous generative neural networks

GS Alberti, M Santacesaria, S Sciutto - arxiv preprint arxiv:2205.14627, 2022 - arxiv.org
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 …

Lipschitz stability of an inverse boundary value problem for a Schrödinger-type equation

E Beretta, MV De Hoop, L Qiu - SIAM Journal on Mathematical Analysis, 2013 - SIAM
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 …

Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization

E Burman, P Hansbo, MG Larson - Inverse Problems, 2018 - iopscience.iop.org
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 …