Cover Image

Neural operators for solving nonlinear inverse problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Scherzer, Otmar, Vu, Thi Lan Nhi, Yan, Jikai
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Functional Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Neural network parametrized level sets for image segmentation
by: Scherzer, Otmar, et al.
Published: (2026)

Raster Scan Diffraction Tomography
by: Elbau, Peter, et al.
Published: (2026)

Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems
by: Aspri, Andrea, et al.
Published: (2024)

Quadratic neural networks for solving inverse problems
by: Frischauf, Leon, et al.
Published: (2023)

Addendum on data driven regularization by projection
by: Hanke, Martin, et al.
Published: (2025)

Open problems and perspectives on solving Friedrichs systems by Krylov approximation
by: Caruso, Noe Angelo, et al.
Published: (2024)

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
by: Daubechies, Ingrid, et al.
Published: (2003)

Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval
by: Kirisits, Clemens, et al.
Published: (2024)

Higher order error estimates for regularization of inverse problems under non-additive noise
by: Mirciu, Diana-Elena, et al.
Published: (2024)

Transformation from integral operator with separable kernel to matrix in eigenvalue problem
by: Hirai, Soma, et al.
Published: (2025)

On the existence of approximate problems that preserve the type of a bifurcation point of a nonlinear problem. Application to the stationary Navier-Stokes equations
by: Bichir, Cătălin Liviu
Published: (2024)

Diffraction Tomography for a Generalized Incident Field
by: Kirisits, Clemens, et al.
Published: (2024)

How to avoid order reduction in third-order exponential Runge--Kutta methods for problems with non-commutative operators?
by: Dang, Thi Tam, et al.
Published: (2024)

How Analysis Can Teach Us the Optimal Way to Design Neural Operators
by: Le, Vu-Anh, et al.
Published: (2024)

Perturbation analysis of tensor $(\mathcal{B},\mathcal{C})$-inverse via Einstein product
by: Zhang, Daochang, et al.
Published: (2026)

Decay estimates for Cayley transforms and inverses of semigroup generators via the $\mathcal{B}$-calculus
by: Wakaiki, Masashi
Published: (2023)

Entropy numbers of classes defined by integral operators
by: Temlyakov, V.
Published: (2025)

Two-dimensional moment problem and Schur algorithm
by: Kovalyov, Ivan, et al.
Published: (2024)

Reduction of a nonlinear system and its numerical solution using a fractional iterative method
by: Torres-Hernandez, A., et al.
Published: (2020)

Refined localization spaces, Kondratiev spaces with fractional smoothness and extension operators
by: Hansen, Markus, et al.
Published: (2024)

Sampling recovery on classes defined by integral operators and sparse approximation with adaptive dictionaries
by: Temlyakov, V.
Published: (2026)

A neural operator framework for solving inverse scattering problems
by: Chenu, Victor, et al.
Published: (2026)

On the construction of a family of well-posed approximate formulations for the stationary Stokes problem using an extended system
by: Bichir, Cătălin Liviu
Published: (2024)

Rational approximation of operator semigroups via the $\mathcal B$-calculus
by: Gomilko, Alexander, et al.
Published: (2024)

Image resizing by neural network operators and their convergence rate with respect to the $L^p$-norm and the dissimilarity index defined through the continuous SSIM
by: Costarelli, Danilo, et al.
Published: (2025)

A nonlinear system related to investment under uncertainty solved using the fractional pseudo-Newton method
by: Torres-Hernandez, A., et al.
Published: (2020)

PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces
by: Gao, Jiexing, et al.
Published: (2023)

Learned RESESOP for solving inverse problems with inexact forward operator
by: Feinler, Mathias S., et al.
Published: (2024)

Inverse Problems of Trapped Objects
by: Elbau, Peter, et al.
Published: (2019)

Motion Detection in Diffraction Tomography by Common Circle Methods
by: Quellmalz, Michael, et al.
Published: (2022)

A convex lifting approach for the Calderón problem
by: Alberti, Giovanni S., et al.
Published: (2025)

Equivariant Neural Networks for Indirect Measurements
by: Beckmann, Matthias, et al.
Published: (2023)

The discrete inverse conductivity problem solved by the weights of an interpretable neural network
by: Beretta, Elena, et al.
Published: (2024)

A multi-level algorithm for the solution of moment problems
by: Scherzer, Otmar, et al.
Published: (1999)

Approximation by Certain Complex Nevai Operators : Theory and Applications
by: Majethiya, Priyanka, et al.
Published: (2025)

On stability of Weak Greedy Algorithm in the presence of noise
by: Temlyakov, V. N.
Published: (2025)

Analysis of beam hardening streaks in tomography
by: Katsevich, Alexander
Published: (2025)

Quasitubal Tensor Algebra Over Separable Hilbert Spaces
by: Mor, Uria, et al.
Published: (2025)

Band-Limited Equivalence of Convolution Operators and its Application to Filtered Vorticity Dynamics
by: Tsuzuki, Satori
Published: (2025)

Matrices with invariant by rotation numerical ranges
by: Crouzeix, Michel
Published: (2025)