Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion

Inferring perceptual saliency fields from viewpoint-dependent recognition data

Neural Computation

Estimation of parameters and eigenmodes of multivariate autoregressive models

ACM Transactions on Mathematical Software (TOMS)

Spatially adaptive splines for statistical linear inverse problems

Journal of Multivariate Analysis

Least squares scattered data fitting by truncated SVDs

Applied Numerical Mathematics - Applied and computational mathematics: Selected papers of the third panamerican workshop Trujillo, Peru, 24-28 April 2000

Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations

Applied Mathematics and Computation

Large scale least squares scattered data fitting

Applied Numerical Mathematics

A computational approach for the analytical solving of a Dirichlet-type problem for third order partial differential equations

Applied Mathematics and Computation

The triangle method for finding the corner of the L-curve

Applied Numerical Mathematics

Regularization methods in dynamic MRI

Applied Mathematics and Computation

On different facets of regularization theory

Neural Computation

Image Deblurring: I Can See Clearly Now

Computing in Science and Engineering

An information-theoretic approach to traffic matrix estimation

Proceedings of the 2003 conference on Applications, technologies, architectures, and protocols for computer communications

Reconstruction of capacitance tomography images of simulated two-phase flow regimes

Applied Numerical Mathematics

CGLS-GCV: a hybrid algorithm for low-rank-deficient problems

Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization

A Trust Region SQP Algorithm for Equality Constrained Parameter Estimation with Simple Parameter Bounds

Computational Optimization and Applications

A computational framework for the regularization of adjoint analysis in multiscale PDE systems

Journal of Computational Physics

Image-based tomographic reconstruction of flames

SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation

Blind Deconvolution: Errors, Errors Everywhere

Computing in Science and Engineering

Geometry-Aware Bases for Shape Approximation

IEEE Transactions on Visualization and Computer Graphics

Blind Deconvolution: A Matter of Norm

Computing in Science and Engineering

Recovery of shear modulus in elastography using an adjoint method with B-spline representation

Finite Elements in Analysis and Design - Special issue: The sixteenth annual Robert J. Melosh competition

Invertible smoothing preconditioners for linear discrete ill-posed problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Estimating point-to-point and point-to-multipoint traffic matrices: an information-theoretic approach

IEEE/ACM Transactions on Networking (TON)

DYNAMIC DATA-DRIVEN INVERSION FOR TERASCALE SIMULATIONS: REAL-TIME IDENTIFICATION OF AIRBORNE CONTAMINANTS

SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing

Algorithm 853: An efficient algorithm for solving rank-deficient least squares problems

ACM Transactions on Mathematical Software (TOMS)

NetQuest: a flexible framework for large-scale network measurement

SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems

Boundary knot method based on geodesic distance for anisotropic problems

Journal of Computational Physics

Iterative methods for ill-posed problems and semiconvergent sequences

Journal of Computational and Applied Mathematics

Representation of High Resolution Images from Low Sampled Fourier Data: Applications to Dynamic MRI

Journal of Mathematical Imaging and Vision

Adaptive grid optical tomography

Graphical Models - Special issue on the vision, video and graphics conference 2005

Error analysis and minimum bound method for atmospheric remote sensing

Environmental Modelling & Software

Open Boundary Control Problem for Navier-Stokes Equations Including a Free Surface: Data Assimilation

Computers & Mathematics with Applications

An improved preconditioned LSQR for discrete ill-posed problems

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

Variable projections neural network training

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

Decomposition methods for large linear discrete ill-posed problems

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

Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective

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

An adaptive pruning algorithm for the discrete L-curve criterion

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

L- and Θ-curve approaches for the selection of regularization parameter in geophysical diffraction tomography

Computers & Geosciences

Temporal Symmetry in Primary Auditory Cortex: Implications for Cortical Connectivity

Neural Computation

Practical least-squares for computer graphics: Video files associated with this course are available from the citation page

ACM SIGGRAPH 2007 courses

A Truncated Lagrange Method for Total Variation-Based Image Restoration

Journal of Mathematical Imaging and Vision

Regularizing inverse preconditioners for symmetric band Toeplitz matrices

EURASIP Journal on Applied Signal Processing

Adaptive solution of infinite linear systems by Krylov subspace methods

Journal of Computational and Applied Mathematics

On a quadratic eigenproblem occurring in regularized total least squares

Computational Statistics & Data Analysis

Level choice in truncated total least squares

Computational Statistics & Data Analysis

Fast robust regression algorithms for problems with Toeplitz structure

Computational Statistics & Data Analysis

Optimally regularized adaptive filtering algorithms for room acoustic signal enhancement

Signal Processing

MTCLAB: A MATLAB®-based program for traveltime quality analysis and pre-inversion velocity tuning in 2D transmission tomography

Computers & Geosciences

Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization

ACM Transactions on Mathematical Software (TOMS)

Shape determination for deformed electromagnetic cavities

Journal of Computational Physics

Inversion of Robin coefficient by a spectral stochastic finite element approach

Journal of Computational Physics

Detection of abrupt structural damage induced by an earthquake using a moving time window technique

Computers and Structures

The Lagrange method for the regularization of discrete ill-posed problems

Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations

A new L-curve for ill-posed problems

Journal of Computational and Applied Mathematics

Greedy Tikhonov regularization for large linear ill-posed problems

International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems

Effective condition number of the Hermite finite element methods for biharmonic equations

Applied Numerical Mathematics

The Lagrange method for the regularization of discrete ill-posed problems

Computational Optimization and Applications

Space-time surface reconstruction using incompressible flow

ACM SIGGRAPH Asia 2008 papers

Determining the regularization parameters for super-resolution problems

Signal Processing

Large-Scale Image Deblurring in Java

ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I

3D Digital Breast Tomosynthesis Using Total Variation Regularization

IWDM '08 Proceedings of the 9th international workshop on Digital Mammography

Tikhonov Regularization Parameter in Reproducing Kernel Hilbert Spaces with Respect to the Sensitivity of the Solution

ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I

Numerical solution of symmetric least-squares problems with an inversion-free Kovarik-type algorithm

International Journal of Computer Mathematics

Rethinking Biased Estimation: Improving Maximum Likelihood and the Cramér–Rao Bound

Foundations and Trends in Signal Processing

A meshless method for solving an inverse spacewise-dependent heat source problem

Journal of Computational Physics

Fast nonnegative matrix factorization algorithms using projected gradient approaches for large-scale problems

Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization

Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems

Optimization Methods & Software

Aircraft design optimization

Mathematics and Computers in Simulation

Arnoldi-Tikhonov regularization methods

Journal of Computational and Applied Mathematics

NetQuest: a flexible framework for large-scale network measurement

IEEE/ACM Transactions on Networking (TON)

Fast Parameter Selection Algorithm for Linear Parametric Filters

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Signal denoising in engineering problems through the minimum gradient method

Neurocomputing

An Algorithm for Image Denoising with Automatic Noise Estimate

Journal of Mathematical Imaging and Vision

An Edge-Preserving Multilevel Method for Deblurring, Denoising, and Segmentation

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Partial Lanczos extreme learning machine for single-output regression problems

Neurocomputing

Dense and Deformable Motion Segmentation for Wide Baseline Images

SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis

A new variant of L-curve for Tikhonov regularization

Journal of Computational and Applied Mathematics

Invertible smoothing preconditioners for linear discrete ill-posed problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

A class of template splines

Computational Statistics & Data Analysis

Computation of three stochastic modifications of Stokes's formula for regional geoid determination

Computers & Geosciences

Technical Section: Sketch-based free-form shape modelling with a fast and stable numerical engine

Computers and Graphics

Timing synchronization in decode-and-forward cooperative communication systems

IEEE Transactions on Signal Processing

Consistent reduced-rank LMMSE estimation with a limited number of samples per observation dimension

IEEE Transactions on Signal Processing

A meshless method for solving the cauchy problem in three-dimensional elastostatics

Computers & Mathematics with Applications

The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations

Computers and Structures

Multiple timing offsets compensation in cooperative communication systems

DSP'09 Proceedings of the 16th international conference on Digital Signal Processing

An extension of sigma-point Kalman filtering using nonlinear estimator bases

ACC'09 Proceedings of the 2009 conference on American Control Conference

An iterative regularization method with B-spline approximation for atmospheric temperature and concentration retrievals

Environmental Modelling & Software

Recovery of shear modulus in elastography using an adjoint method with B-spline representation

Finite Elements in Analysis and Design - Special issue: The sixteenth annual Robert J. Melosh competition

Accurate detection of demosaicing regularity for digital image forensics

IEEE Transactions on Information Forensics and Security - Special issue on electronic voting

Shearlet-based deconvolution

IEEE Transactions on Image Processing

A new multiple regression approach for the construction of genetic regulatory networks

Artificial Intelligence in Medicine

Identification of Contact Parameters from Stiff Multi-point Contact Robotic Operations

International Journal of Robotics Research

Noninvasive electroardiographic imaging: application of hybrid methods for solving the electrocardiography inverse problem

FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart

Forward and inverse solutions of electrocardiography problem using an adaptive BEM method

FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart

Using singular value decomposition in conjunction with data assimilation procedures

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

Condition numbers and least squares regression

Proceedings of the 12th IMA international conference on Mathematics of surfaces XII

High-Performance Three-Dimensional Image Reconstruction for Molecular Structure Determination

International Journal of High Performance Computing Applications

Large-scale methods in image deblurring

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

Towards intra-operative 3D nuclear imaging: reconstruction of 3D radioactive distributions using tracked gamma probes

MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention

UPRE method for total variation parameter selection

Signal Processing

Regularization parameter choice in locally linear embedding

Neurocomputing

A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks

Journal of Computational and Applied Mathematics

An improved Levin quadrature method for highly oscillatory integrals

Applied Numerical Mathematics

Implementing a Bayesian approach to criminal geographic profiling

Proceedings of the 1st International Conference and Exhibition on Computing for Geospatial Research & Application

Lossless data embedding in electronic inks

IEEE Transactions on Information Forensics and Security

Parallel Colt: A High-Performance Java Library for Scientific Computing and Image Processing

ACM Transactions on Mathematical Software (TOMS)

New accelerated conjugate gradient algorithms as a modification of Dai-Yuan's computational scheme for unconstrained optimization

Journal of Computational and Applied Mathematics

Hierarchical Bayesian inference for Ill-posed problems via variational method

Journal of Computational Physics

Iterative regularization algorithms for constrained image deblurring on graphics processors

Journal of Global Optimization

An iterative Lagrange method for the regularization of discrete ill-posed inverse problems

Computers & Mathematics with Applications

On Reconstruction from Non-uniform Spectral Data

Journal of Scientific Computing

Separate magnitude and phase regularization in MRI with incomplete data: preliminary results

ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro

An adaptive greedy technique for inverse boundary determination problem

Journal of Computational Physics

Subspace-restricted singular value decompositions for linear discrete ill-posed problems

Journal of Computational and Applied Mathematics

Estimation of the parameters in regularized simultaneous super-resolution

Pattern Recognition Letters

An Alternative to Tikhonov Regularization for Linear Sampling Methods

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications

Total variation regularization in electrocardiographic mapping

LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part III

Efficient maximum entropy reconstruction of nuclear magnetic resonance T1-T2 spectra

IEEE Transactions on Signal Processing

Adaptive metric registration of 3D models to non-rigid image trajectories

ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III

A Simple Regularization of the Polynomial Interpolation for the Resolution of the Runge Phenomenon

Journal of Scientific Computing

New beam-steering algorithms using DELSA for frequency hopping systems

MILCOM'03 Proceedings of the 2003 IEEE conference on Military communications - Volume II

Estimating the Backward Error in LSQR

SIAM Journal on Matrix Analysis and Applications

Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates

SIAM Journal on Numerical Analysis

An Efficient Iterative Approach for Large-Scale Separable Nonlinear Inverse Problems

SIAM Journal on Scientific Computing

Multilevel Approach For Signal Restoration Problems With Toeplitz Matrices

SIAM Journal on Scientific Computing

A Semismooth Newton Method for $\mathrm{L}^1$ Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration

SIAM Journal on Imaging Sciences

Improved Total Variation-Type Regularization Using Higher Order Edge Detectors

SIAM Journal on Imaging Sciences

Reinterpretation and Enhancement of Signal-Subspace-Based Imaging Methods for Extended Scatterers

SIAM Journal on Imaging Sciences

Antireflective boundary conditions for deblurring problems

Journal of Electrical and Computer Engineering - Special issue on iterative signal processing in communications

Original Article: Comparingparameter choice methods for regularization of ill-posed problems

Mathematics and Computers in Simulation

A box constrained gradient projection algorithm for compressed sensing

Signal Processing

Identification of both structural damages in bridge deck and vehicular parameters using measured dynamic responses

Computers and Structures

Dimension reduction method for ODE fluid models

Journal of Computational Physics

Seismic damage detection in a building frame via finite element model updating

Computers and Structures

Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions

Information Sciences: an International Journal

A spline framework for estimating the eeg surface laplacian using the euclidean metric

Neural Computation

A Regularization Parameter for Nonsmooth Tikhonov Regularization

SIAM Journal on Scientific Computing

Parametric Level Set Methods for Inverse Problems

SIAM Journal on Imaging Sciences

A Regularized Gauss-Newton Trust Region Approach to Imaging in Diffuse Optical Tomography

SIAM Journal on Scientific Computing

Inversion of airborne contaminants in a regional model

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part III

Regularized signal reconstruction for level-crossing sampling using Slepian functions

Signal Processing

Locally linear embedding based on correntropy measure for visualization and classification

Neurocomputing

A rational Arnoldi approach for ill-conditioned linear systems

Journal of Computational and Applied Mathematics

Combining approximate solutions for linear discrete ill-posed problems

Journal of Computational and Applied Mathematics

Estimating the number of hidden neurons in a feedforward network using the singular value decomposition

ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I

Algorithms for range restricted iterative methods for linear discrete ill-posed problems

Numerical Algorithms

Regularization for super-resolution image reconstruction

KES'06 Proceedings of the 10th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part II

Transformations of gaussian process priors

Proceedings of the First international conference on Deterministic and Statistical Methods in Machine Learning

Kernel based learning methods: regularization networks and RBF networks

Proceedings of the First international conference on Deterministic and Statistical Methods in Machine Learning

A comparison of condition numbers for the full rank least squares problem

Proceedings of the First international conference on Deterministic and Statistical Methods in Machine Learning

Improved resolution DoA estimation through shrunk projections on the signal sub-space

Signal Processing

Refined exponential filter with applications to image restoration and interpolation

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

Source identification in time domain electromagnetics

Journal of Computational Physics

A new Tikhonov regularization method

Numerical Algorithms

Smoothing of meshes and point clouds using weighted geometry-aware bases

GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing

Non-negative matrix factorization with quasi-newton optimization

ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing

Automatic history matching in petroleum reservoirs using the TSVD method

ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II

An adaptive norm algorithm for image restoration

SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision

smt: a Matlab toolbox for structured matrices

Numerical Algorithms

Recovering the spatial distribution of a groundwater contaminant at a prior time: The forward collocation method

Mathematical and Computer Modelling: An International Journal

Efficient determination of the hyperparameter in regularized total least squares problems

Applied Numerical Mathematics

Tikhonov regularization based on generalized Krylov subspace methods

Applied Numerical Mathematics

The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation

Mathematical and Computer Modelling: An International Journal

A maximum product criterion as a Tikhonov parameter choice rule for Kirsch's factorization method

Journal of Computational and Applied Mathematics

Numerical methods for A-optimal designs with a sparsity constraint for ill-posed inverse problems

Computational Optimization and Applications

Adaptive and Stochastic Algorithms for Electrical Impedance Tomography and DC Resistivity Problems with Piecewise Constant Solutions and Many Measurements

SIAM Journal on Scientific Computing

Designing Optimal Spectral Filters for Inverse Problems

SIAM Journal on Scientific Computing

Windowed Spectral Regularization of Inverse Problems

SIAM Journal on Scientific Computing

Large-scale Tikhonov regularization of total least squares

Journal of Computational and Applied Mathematics

Preconditioning linear systems via matrix function evaluation

Applied Numerical Mathematics

Blockwise conjugate gradient methods for image reconstruction in volumetric CT

Computer Methods and Programs in Biomedicine

Video analysis based on Multi-Kernel Representation with automatic parameter choice

Neurocomputing

Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method

Computers & Mathematics with Applications

NPTool: a Matlab software for nonnegative image restoration with Newton projection methods

Numerical Algorithms

A balanced combination of Tikhonov and total variation regularizations for reconstruction of piecewise-smooth signals

Signal Processing

Old and new parameter choice rules for discrete ill-posed problems

Numerical Algorithms

An iterative stochastic ensemble method for parameter estimation of subsurface flow models

Journal of Computational Physics

Review: A unified framework for regularized linear estimation in communication systems

Signal Processing

Adaptive Non-rigid Registration and Structure from Motion from Image Trajectories

International Journal of Computer Vision

Algorithm 933: Reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using suitesparseQR

ACM Transactions on Mathematical Software (TOMS)

SP2DINV: A 2D forward and inverse code for streaming potential problems

Computers & Geosciences

Automatic parameter setting for Arnoldi-Tikhonov methods

Journal of Computational and Applied Mathematics

Simplified GSVD computations for the solution of linear discrete ill-posed problems

Journal of Computational and Applied Mathematics

A robust CRE-based approach for model updating using in situ measurements

Computers and Structures

Stopping rules for iterative methods in nonnegatively constrained deconvolution

Applied Numerical Mathematics

Compressed sensing with linear correlation between signal and measurement noise

Signal Processing