An introduction to the mathematical theory of inverse problems

Dynamic Textures

International Journal of Computer Vision

Numerical solution of forward and backward problem for 2-D heat conduction equation

Journal of Computational and Applied Mathematics

Inverse Scale Space Theory for Inverse Problems

Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision

A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D

Journal of Computational Physics

Inversion of imaging mechanisms by regularization of inverse Volterra models

Signal Processing

Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation

Journal of Computational and Applied Mathematics

Simultaneous estimation of spatially dependent diffusion coefficient and source term in a nonlinear 1D diffusion problem

Mathematics and Computers in Simulation - Special issue: Inverse obstacle problems

Inverse electroencephalography for cortical sources

Applied Numerical Mathematics

Adaptive Finite Element Methods for the Identification of Elastic Constants

Journal of Scientific Computing

Fourth-order modified method for the Cauchy problem for the Laplace equation

Journal of Computational and Applied Mathematics

Unique identifiability of the common support of coefficients of a second order anisotropic elliptic system by the Dirichlet-Neumann map

Journal of Computational and Applied Mathematics - Special issue on 60th birthday of Prof. Brian Davies

Solving elliptic Cauchy problems and the identification of nonlinear corrosion

Journal of Computational and Applied Mathematics - Special issue: Applied computational inverse problems

A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem

Mathematics and Computers in Simulation

A variational approach to the modeling of MIMO systems

EURASIP Journal on Wireless Communications and Networking

A near-infrared optical tomography system based on photomultiplier tube

Journal of Biomedical Imaging

Mixed boundary integral methods for Helmholtz transmission problems

Journal of Computational and Applied Mathematics

Identifying the coefficient of first-order in parabolic equation from final measurement data

Mathematics and Computers in Simulation

A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach

Journal of Computational Physics

A modified Newton--Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations

Journal of Complexity

Inverse problems in heat exchange processes

CEA'08 Proceedings of the 2nd WSEAS International Conference on Computer Engineering and Applications

An extended class of multilayer perceptron

Neurocomputing

Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region

Mathematics and Computers in Simulation

Learning Bidirectional Similarity for Collaborative Filtering

ECML PKDD '08 Proceedings of the 2008 European Conference on Machine Learning and Knowledge Discovery in Databases - Part I

Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework

Journal of Computational Physics

Identification of a heat transfer coefficient when it is a function depending on temperature

WSEAS Transactions on Mathematics

An approach for the identification of diffusion coefficients in the quasi-steady state of a post-discharge nitriding process

Mathematics and Computers in Simulation

Numerical techniques for solving the inverse retrospective problem of thermal evolution of the Earth interior

Computers and Structures

New model function methods for determining regularization parameters in linear inverse problems

Applied Numerical Mathematics

Another look at statistical learning theory and regularization

Neural Networks

Optimization method for the inverse problem of reconstructing the source term in a parabolic equation

Mathematics and Computers in Simulation

Inverse electroencephalography for cortical sources

Applied Numerical Mathematics

A study on the reference electrode standardization technique for a realistic head model

Computer Methods and Programs in Biomedicine

A novel finite-element-based algorithm for fluorescence molecular tomography of heterogeneous media

IEEE Transactions on Information Technology in Biomedicine - Special section on computational intelligence in medical systems

Necessary and sufficient convergence conditions for algebraic image reconstruction algorithms

IEEE Transactions on Image Processing

Two regularization methods and the order optimal error estimates for a sideways parabolic equation

Computers & Mathematics with Applications

Source term identification for an axisymmetric inverse heat conduction problem

Computers & Mathematics with Applications

Discrimination of similar handwritten numerals based on invariant curvature features

Pattern Recognition

The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem

Computers & Mathematics with Applications

Inverse analysis FOR two-dimensional structures using the boundary element method

Advances in Engineering Software

The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement

Journal of Computational and Applied Mathematics

Stable numerical differentiation for the second order derivatives

Advances in Computational Mathematics

Reformulated parametric learning based on ordinary differential equations

ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II

Statistical method for resolving the photon-photoelectron-counting inversion problem

Journal of Computational Physics

An efficient method for the solution of the inverse scattering problem for penetrable obstacles

Mathematics and Computers in Simulation

Approximate inverse method for stable analytic continuation in a strip domain

Journal of Computational and Applied Mathematics

Variational method for super-resolution optical flow

Signal Processing

Full length article: Exact minimizer for the couple (L∞,BV) and the one-dimensional analogue of the Rudin-Osher-Fatemi model

Journal of Approximation Theory

Approximation of Bayesian Inverse Problems for PDEs

SIAM Journal on Numerical Analysis

Inverse problem of time-dependent heat sources numerical reconstruction

Mathematics and Computers in Simulation

Original article: A mollification regularization method for stable analytic continuation

Mathematics and Computers in Simulation

Learning bidirectional asymmetric similarity for collaborative filtering via matrix factorization

Data Mining and Knowledge Discovery

Isospectral flow method for nonnegative inverse eigenvalue problem with prescribed structure

Journal of Computational and Applied Mathematics

An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation

Journal of Computational and Applied Mathematics

The truncation method for identifying the heat source dependent on a spatial variable

Computers & Mathematics with Applications

Dimension reduction method for ODE fluid models

Journal of Computational Physics

Total variation regularization for the reconstruction of a mountain topography

Applied Numerical Mathematics

Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters

Journal of Computational and Applied Mathematics

An improved non-local boundary value problem method for a cauchy problem of the Laplace equation

Numerical Algorithms

Heuristic regularization methods for numerical differentiation

Computers & Mathematics with Applications

Towards the public but noninvertible watermarking

IWDW'04 Proceedings of the Third international conference on Digital Watermarking

Refined exponential filter with applications to image restoration and interpolation

ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III

The inverse scattering problem for cavities with impedance boundary condition

Advances in Computational Mathematics

Quadrature based collocation methods for integral equations of the first kind

Advances in Computational Mathematics

Preconditioning non-monotone gradient methods for retrieval of seismic reflection signals

Advances in Computational Mathematics

A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation

Journal of Computational and Applied Mathematics

A method for simultaneous identification of the full nonlinear damping and the phase shift and amplitude of the external harmonic excitation in a forced nonlinear oscillator

Computers and Structures

A computational method for stable analytic continuation

Calcolo: a quarterly on numerical analysis and theory of computation

An inverse finance problem for estimation of the volatility

Computational Mathematics and Mathematical Physics