Cover Image

Introduction to Regularization and Learning Methods for Inverse Problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bednarski, Danielle, Roith, Tim
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Machine Learning 00A69, 35R30, 47A52, 47J30, 65F22, 65J20, 65J22, 65K10, 94A08, 68Txx
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sparse Dictionary-Based Solution of Dynamic Inverse Problems
by: Mason-Mackay, Aidan, et al.
Published: (2026)

A Unified Framework for Lifted Training and Inversion Approaches
by: Wang, Xiaoyu, et al.
Published: (2025)

An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain
by: Weissinger, Lukas, et al.
Published: (2024)

Deep neural network yields regularization for ill-posed inverse problems
by: Zhu, Qiao, et al.
Published: (2026)

Inverse Problems with Learned Forward Operators
by: Arridge, Simon, et al.
Published: (2023)

Sparse variational regularization with oversmoothing penalty term in the scale of sequence spaces
by: Plato, Robert, et al.
Published: (2025)

Learned Regularization for Inverse Problems: Insights from a Spectral Model
by: Burger, Martin, et al.
Published: (2023)

Explainable Learning Based Regularization of Inverse Problems
by: Burger, Martin, et al.
Published: (2025)

Optimal regularized hypothesis testing in statistical inverse problems
by: Kretschmann, Remo, et al.
Published: (2022)

Regularization with optimal space-time priors
by: Bubba, Tatiana A., et al.
Published: (2024)

Automatic reproducing kernel and regularization for learning convolution kernels
by: Li, Haibo, et al.
Published: (2025)

Scalable iterative data-adaptive RKHS regularization
by: Li, Haibo, et al.
Published: (2024)

On a new notion of regularizer
by: Ramm, A. G.
Published: (2003)

Spatiotemporal Imaging with Diffeomorphic Optimal Transportation
by: Chen, Chong
Published: (2020)

Convergence analysis of a full discretization of operator-valued differential Riccati equations
by: Hansen, Eskil, et al.
Published: (2026)

Variable Projected Augmented Lagrangian Methods for Generalized Lasso Problems
by: Aleotti, Stefano, et al.
Published: (2025)

Convergence Analysis of Levenberg-Marquardt Method for Inverse Problem with Hölder Stability Estimate
by: Ishida, Akari, et al.
Published: (2025)

Deep Equilibrium models for Poisson Imaging Inverse problems via Mirror Descent
by: Daniele, Christian, et al.
Published: (2025)

Randomized block coordinate descent method for linear ill-posed problems
by: Jin, Qinian, et al.
Published: (2024)

A Multi-Frequency Iterative Method for Reconstruction of Rough Surfaces Separating Two Penetrable Media
by: Sefer, Ahmet, et al.
Published: (2024)

Nonconforming finite element spaces for $HΛ^k$ in $\mathbb{R}^n$
by: Zhang, Shuo
Published: (2022)

On the convergence of an adaptive denoiser driven iterative regularization with early stopping
by: Bajpai, Harshit, et al.
Published: (2026)

A class of regularization schemes for linear ill-posed problems in Banach spaces under low order source conditions
by: Plato, Robert
Published: (2025)

Convergence rates of Landweber-type methods for inverse problems in Banach spaces
by: Jin, Qinian
Published: (2024)

On the Convergence of A Data-Driven Regularized Stochastic Gradient Descent for Nonlinear Ill-Posed Problems
by: Zhou, Zehui
Published: (2024)

Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem
by: Mollenhauer, Mattes, et al.
Published: (2022)

Well-posedness and instability of free electron quantum tomography
by: Oberender, Florian
Published: (2026)

Solution existence, uniqueness, and stability of discrete basis sinograms in multispectral CT
by: Gao, Yu, et al.
Published: (2023)

Fitted norm preconditioners for the Hodge Laplacian in mixed form
by: Boon, Wietse M., et al.
Published: (2025)

Sampling Distributions as Regularization in Learned Inverse Problems
by: Babyale, Sandra R., et al.
Published: (2026)

Optimal finite element approximations of monotone semilinear elliptic PDE with subcritical nonlinearities
by: Spicher, Florian, et al.
Published: (2025)

Spectral Regularized Kernel Two-Sample Tests
by: Hagrass, Omar, et al.
Published: (2022)

Spectral Regularized Kernel Goodness-of-Fit Tests
by: Hagrass, Omar, et al.
Published: (2023)

Are minimizers of the Onsager-Machlup functional strong posterior modes?
by: Kretschmann, Remo
Published: (2022)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
by: Engwer, Christian, et al.
Published: (2025)

Qualitative reconstruction methods for imaging interior Robin interfaces in EIT from Robin-to-Dirichlet data
by: Ayala, Rafael Ceja, et al.
Published: (2026)

Generative modeling with low-rank Wasserstein polynomial chaos expansions
by: Gruhlke, Robert, et al.
Published: (2022)

Some results on Krylov solvability in Banach space and connections to spectral theory
by: Caruso, Noe Angelo
Published: (2026)

Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
by: Gimperlein, Heiko, et al.
Published: (2025)

Nonequispaced fast Fourier transforms for bandlimited functions
by: Kircheis, Melanie, et al.
Published: (2025)