Geophysical journal international, ISSN 1365-246X, 2018, Volume 213, Issue 2, pp. 739 - 756

Full-waveform inversion (FWI) is a highly non-linear inverse problem, normally solved iteratively, with each iteration involving an update constructed through linear operations on the residuals...

Wave scattering and diffraction | Theoretical seismology | Inverse theory | Waveform inversion | MIGRATION | APPROXIMATION | SEISMIC-REFLECTION DATA | GRADIENT | VELOCITY MODEL | SPACE | GEOCHEMISTRY & GEOPHYSICS | TRUNCATED NEWTON METHOD | GAUSS-NEWTON | EXPLORATION | MEDIA | GEOSCIENCES

Wave scattering and diffraction | Theoretical seismology | Inverse theory | Waveform inversion | MIGRATION | APPROXIMATION | SEISMIC-REFLECTION DATA | GRADIENT | VELOCITY MODEL | SPACE | GEOCHEMISTRY & GEOPHYSICS | TRUNCATED NEWTON METHOD | GAUSS-NEWTON | EXPLORATION | MEDIA | GEOSCIENCES

Journal Article

Computational Methods and Function Theory, ISSN 1617-9447, 10/2009, Volume 9, Issue 2, pp. 485 - 524

We relate some classical extremal problems on the Hardy space to norms of truncated Toeplitz operators and complex symmetric operators.

Aleksandrov-Clark measure | Computational Mathematics and Numerical Analysis | Functions of a Complex Variable | 47B99 | Mathematics | Toeplitz operator | reproducing kernel | conjugation | 47A05 | Analysis | Clark operator | 47B35 | truncated Toeplitz operator | complex symmetric operator | Extremal problem

Aleksandrov-Clark measure | Computational Mathematics and Numerical Analysis | Functions of a Complex Variable | 47B99 | Mathematics | Toeplitz operator | reproducing kernel | conjugation | 47A05 | Analysis | Clark operator | 47B35 | truncated Toeplitz operator | complex symmetric operator | Extremal problem

Journal Article

The 2nd International Conference on Information Science and Engineering, ISSN 2160-1283, 12/2010, pp. 4163 - 4166

This paper proposes a novel iterative α -expansion move optical flow estimation with space term disturbance to decrease the local error caused by outlier points...

Computer vision | Image motion analysis | optical flow estimation | Estimation | truncated linear space term | Optical imaging | Adaptive optics | iterative α -expansion algorithm | graph cut optimization | space term disturbance | Optimization | Pixel | Truncated linear space term | Iterative α -expansion algorithm | Graph cut optimization | Optical flow estimation | Space term disturbance

Computer vision | Image motion analysis | optical flow estimation | Estimation | truncated linear space term | Optical imaging | Adaptive optics | iterative α -expansion algorithm | graph cut optimization | space term disturbance | Optimization | Pixel | Truncated linear space term | Iterative α -expansion algorithm | Graph cut optimization | Optical flow estimation | Space term disturbance

Conference Proceeding

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Quasi-Likelihood Estimation of a Censored Autoregressive Model With Exogenous Variables

Journal of the American Statistical Association, ISSN 0162-1459, 07/2018, Volume 113, Issue 523, pp. 1135 - 1145

Maximum likelihood estimation of a censored autoregressive model with exogenous variables (CARX) requires computing the conditional likelihood of blocks of...

Maximum likelihood estimation | Estimating equation | Regression model | Time series | LINEAR-REGRESSION | REGRESSION-ANALYSIS | STATISTICS & PROBABILITY

Maximum likelihood estimation | Estimating equation | Regression model | Time series | LINEAR-REGRESSION | REGRESSION-ANALYSIS | STATISTICS & PROBABILITY

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2014, Volume 47, Issue 35, pp. 353001 - 54

...-linear symmetric operators. The main results are complemented by a variety of natural examples arising in field theory, quantum physics and complex variables.

non-Hermitian | complex symmetric operator | PT-symmetric | PT-SYMMETRY | EIGENVALUE PROBLEMS | PHYSICS, MULTIDISCIPLINARY | UNITARY EQUIVALENCE | SELF-ADJOINT | PHYSICS, MATHEMATICAL | TRUNCATED TOEPLITZ-OPERATORS | PSEUDO-HERMITICITY | J-SELFADJOINT EXTENSIONS | GAUSSIAN-ELIMINATION | HILBERT-SPACE | NON-HERMITIAN HAMILTONIANS | Operators | Mathematical analysis | Quantum mechanics | Field theory | Complex variables | Vectors (mathematics) | Estimates

non-Hermitian | complex symmetric operator | PT-symmetric | PT-SYMMETRY | EIGENVALUE PROBLEMS | PHYSICS, MULTIDISCIPLINARY | UNITARY EQUIVALENCE | SELF-ADJOINT | PHYSICS, MATHEMATICAL | TRUNCATED TOEPLITZ-OPERATORS | PSEUDO-HERMITICITY | J-SELFADJOINT EXTENSIONS | GAUSSIAN-ELIMINATION | HILBERT-SPACE | NON-HERMITIAN HAMILTONIANS | Operators | Mathematical analysis | Quantum mechanics | Field theory | Complex variables | Vectors (mathematics) | Estimates

Journal Article

International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 11/2014, Volume 24, Issue 17, pp. 2609 - 2627

SUMMARYThis paper is concerned with the problem of stabilizing a linear system with input delay...

time‐delay systems | stabilization | truncated predictor feedback | parametric Lyapunov equation | time-delay systems | MATHEMATICS, APPLIED | TIME-DELAY | ENGINEERING, ELECTRICAL & ELECTRONIC | STABILITY ANALYSIS | DISTRIBUTED-DELAY | FINITE SPECTRUM ASSIGNMENT | SATURATION | AUTOMATION & CONTROL SYSTEMS | ZEROS | Linear systems | Approximation | Feedback | Mathematical analysis | Control systems | Mathematical models | Control theory | Delay

time‐delay systems | stabilization | truncated predictor feedback | parametric Lyapunov equation | time-delay systems | MATHEMATICS, APPLIED | TIME-DELAY | ENGINEERING, ELECTRICAL & ELECTRONIC | STABILITY ANALYSIS | DISTRIBUTED-DELAY | FINITE SPECTRUM ASSIGNMENT | SATURATION | AUTOMATION & CONTROL SYSTEMS | ZEROS | Linear systems | Approximation | Feedback | Mathematical analysis | Control systems | Mathematical models | Control theory | Delay

Journal Article

IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 4/2020, pp. 1 - 12

.... Despite notable advantages offered in terms of noninvasiveness and flexibility, the usage of stand-off configurations makes the imaging process more difficult...

Ground-penetrating radar (GPR) | Ground penetrating radar | Inverse problems | Atmospheric modeling | Scattering | inverse scattering | Mathematical model | Green's function methods | truncated singular value decomposition (TSVD)

Ground-penetrating radar (GPR) | Ground penetrating radar | Inverse problems | Atmospheric modeling | Scattering | inverse scattering | Mathematical model | Green's function methods | truncated singular value decomposition (TSVD)

Journal Article

Journal of cryptology, ISSN 1432-1378, 2016, Volume 30, Issue 3, pp. 859 - 888

The two main classes of statistical cryptanalysis are the linear and differential attacks...

Differential cryptanalysis | Bias of differential-linear approximation | Computational Mathematics and Numerical Analysis | Block cipher | Computer Science | Linear cryptanalysis | Multidimensional linear approximation | Coding and Information Theory | Probability Theory and Stochastic Processes | Communications Engineering, Networks | Truncated differential | Combinatorics | MATHEMATICS, APPLIED | ATTACK | COMPUTER SCIENCE, THEORY & METHODS | ENGINEERING, ELECTRICAL & ELECTRONIC

Differential cryptanalysis | Bias of differential-linear approximation | Computational Mathematics and Numerical Analysis | Block cipher | Computer Science | Linear cryptanalysis | Multidimensional linear approximation | Coding and Information Theory | Probability Theory and Stochastic Processes | Communications Engineering, Networks | Truncated differential | Combinatorics | MATHEMATICS, APPLIED | ATTACK | COMPUTER SCIENCE, THEORY & METHODS | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Computerized Medical Imaging and Graphics, ISSN 0895-6111, 2009, Volume 33, Issue 4, pp. 283 - 294

... it to be complete, gives severe artifacts which even penetrates into the field of view. A row-by-row data completion approach using linear prediction is introduced for helical scan truncated data...

Internal Medicine | Other | Truncated data | Linear prediction | Helical cone-beam CT | Data completion | TOMOGRAPHY | OF-INTEREST | ENGINEERING, BIOMEDICAL | ALGORITHM | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Reproducibility of Results | Algorithms | Radiographic Image Interpretation, Computer-Assisted - methods | Computer Simulation | Humans | Sensitivity and Specificity | Imaging, Three-Dimensional - methods | Radiographic Image Enhancement - methods | Spiral Cone-Beam Computed Tomography - instrumentation | Linear Models | Phantoms, Imaging | Spiral Cone-Beam Computed Tomography - methods | CT imaging | Methods

Internal Medicine | Other | Truncated data | Linear prediction | Helical cone-beam CT | Data completion | TOMOGRAPHY | OF-INTEREST | ENGINEERING, BIOMEDICAL | ALGORITHM | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Reproducibility of Results | Algorithms | Radiographic Image Interpretation, Computer-Assisted - methods | Computer Simulation | Humans | Sensitivity and Specificity | Imaging, Three-Dimensional - methods | Radiographic Image Enhancement - methods | Spiral Cone-Beam Computed Tomography - instrumentation | Linear Models | Phantoms, Imaging | Spiral Cone-Beam Computed Tomography - methods | CT imaging | Methods

Journal Article

SIAM journal on scientific computing, ISSN 1095-7197, 1998, Volume 19, Issue 1, pp. 302 - 318

We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton...

Iterative linear algebra methods | Newton iterative methods | Krylov subspace methods | TFQMR | Forcing terms | GMRES | Newton-Krylov methods | Truncated Newton methods | Inexact Newton methods | Newton's method | BiCGSTAB | MATHEMATICS, APPLIED | truncated Newton methods | CONVECTION | EQUATIONS | iterative linear algebra methods | NONSYMMETRIC LINEAR-SYSTEMS | STOKES | inexact Newton methods | forcing terms | MINIMAL RESIDUAL ALGORITHM | DESIGN | NONLINEAR PROBLEMS | ALGEBRA | NEWTON METHOD | MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS | ALGORITHMS | ITERATIVE METHODS

Iterative linear algebra methods | Newton iterative methods | Krylov subspace methods | TFQMR | Forcing terms | GMRES | Newton-Krylov methods | Truncated Newton methods | Inexact Newton methods | Newton's method | BiCGSTAB | MATHEMATICS, APPLIED | truncated Newton methods | CONVECTION | EQUATIONS | iterative linear algebra methods | NONSYMMETRIC LINEAR-SYSTEMS | STOKES | inexact Newton methods | forcing terms | MINIMAL RESIDUAL ALGORITHM | DESIGN | NONLINEAR PROBLEMS | ALGEBRA | NEWTON METHOD | MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS | ALGORITHMS | ITERATIVE METHODS

Journal Article

Sensors (Switzerland), ISSN 1424-8220, 06/2017, Volume 17, Issue 6, p. 1386

.... This paper presents a new approach to analyze the time-varying characteristics of such signals by employing a simple truncated Fourier series model, namely the band-limited multiple Fourier linear combiner (BMFLC...

Truncated fourier series model | ℓ1 regularization | Time-frequency decomposition | ADMM | Sparse linear regression | KALMAN SMOOTHER APPROACH | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | EEG | RESPIRATORY RATE | PARAMETERS | truncated fourier series model | ADAPTIVE ESTIMATION | sparse linear regression | TREMOR | INSTRUMENTS & INSTRUMENTATION | SPECTRAL ESTIMATION | time-frequency decomposition | l regularization | BAND IDENTIFICATION | Wavelet transforms | Time-frequency analysis | Computational geometry | Regression models | Continuous wavelet transform | Regression analysis | Convexity | Fourier series | Optimization

Truncated fourier series model | ℓ1 regularization | Time-frequency decomposition | ADMM | Sparse linear regression | KALMAN SMOOTHER APPROACH | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | EEG | RESPIRATORY RATE | PARAMETERS | truncated fourier series model | ADAPTIVE ESTIMATION | sparse linear regression | TREMOR | INSTRUMENTS & INSTRUMENTATION | SPECTRAL ESTIMATION | time-frequency decomposition | l regularization | BAND IDENTIFICATION | Wavelet transforms | Time-frequency analysis | Computational geometry | Regression models | Continuous wavelet transform | Regression analysis | Convexity | Fourier series | Optimization

Journal Article

Statistical Papers, ISSN 0932-5026, 09/2016, Volume 57, Issue 3, pp. 589 - 603

...) with correlated classes under finite sample space. We utilize general benefits of Bayesian approaches within the context of estimation of probability distributions under finite sample space...

Elections | Bar chart | Polya trees | Dirichlet process prior | Compositional data | Truncated log normal distribution | DENSITY-ESTIMATION | STATISTICS & PROBABILITY | LOG-LINEAR MODELS | Analysis | Distribution (Probability theory) | Studies | Statistical analysis | Political science | Probability | Estimating techniques | Random variables | Bayesian analysis | Correlation | Categories | Mathematical analysis | Samples | Statistical methods | Sampling

Elections | Bar chart | Polya trees | Dirichlet process prior | Compositional data | Truncated log normal distribution | DENSITY-ESTIMATION | STATISTICS & PROBABILITY | LOG-LINEAR MODELS | Analysis | Distribution (Probability theory) | Studies | Statistical analysis | Political science | Probability | Estimating techniques | Random variables | Bayesian analysis | Correlation | Categories | Mathematical analysis | Samples | Statistical methods | Sampling

Journal Article

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A derivative-free algorithm for non-linear optimization with linear equality constraints

Optimization, ISSN 0233-1934, 06/2020, Volume 69, Issue 6, pp. 1361 - 1387

We propose a derivative-free algorithm for solving linear equality constrained non-linear optimization problems, named LECOA...

least Frobenius norm | Optimization without derivatives | linearly equality constrained optimization problems | truncated conjugate gradient | norm | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVERGENCE | QUADRATIC MODELS | Conjugate gradient method | Interpolation | Algorithms | Constraints | Nonlinear programming | Iterative methods | Hessian matrices | Optimization

least Frobenius norm | Optimization without derivatives | linearly equality constrained optimization problems | truncated conjugate gradient | norm | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVERGENCE | QUADRATIC MODELS | Conjugate gradient method | Interpolation | Algorithms | Constraints | Nonlinear programming | Iterative methods | Hessian matrices | Optimization

Journal Article

Analog Integrated Circuits and Signal Processing, ISSN 0925-1030, 5/2017, Volume 91, Issue 2, pp. 267 - 276

...Faster-than-Nyquist signaling: on linear and non-linear reduced-complexity turbo equalization Albert Abello ´ 1 • Damien Roque 2 • Jean-Marie Freixe 1 • Se...

94A05 | Engineering | Turbo equalization | Low-density parity-check codes | Signal,Image and Speech Processing | 94A40 | Circuits and Systems | Faster-than-Nyquist | Truncated trellis equalizers | 94A12 | Linear equalizers | Electrical Engineering | INTERSYMBOL INTERFERENCE | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | UNGERBOECK | ENGINEERING, ELECTRICAL & ELECTRONIC | Codes | Equalizers | Binary system | Equalizers (circuits) | Equalization | Error correcting codes | Digital Video Broadcasting | Complexity

94A05 | Engineering | Turbo equalization | Low-density parity-check codes | Signal,Image and Speech Processing | 94A40 | Circuits and Systems | Faster-than-Nyquist | Truncated trellis equalizers | 94A12 | Linear equalizers | Electrical Engineering | INTERSYMBOL INTERFERENCE | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | UNGERBOECK | ENGINEERING, ELECTRICAL & ELECTRONIC | Codes | Equalizers | Binary system | Equalizers (circuits) | Equalization | Error correcting codes | Digital Video Broadcasting | Complexity

Journal Article

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A functional model for the Fourier--Plancherel operator truncated to the positive semiaxis

St. Petersburg Mathematical Journal, ISSN 1061-0022, 06/2019, Volume 30, Issue 3, pp. 457 - 469

... }}\int _{\mathbb{R}^+}x(\xi )e^{it\xi }\,d\xi ,\quad t\in {\mathbb{R}^+}, is studied. The operator \mathscr {F}_{\mathbb{R}^+} is viewed as an operator acting in the space L...

MATHEMATICS | Truncated Fourier-Plancherel operator | functional model of a linear operator

MATHEMATICS | Truncated Fourier-Plancherel operator | functional model of a linear operator

Journal Article

Banach journal of mathematical analysis, ISSN 1735-8787, 2017, Volume 11, Issue 4, pp. 899 - 922

The aim of this paper is to investigate asymmetric truncated Toeplitz operators with L-2-symbols between two different model spaces given by inner functions such that one divides...

Conjugation | Kernel functions | Model space | Truncated Toeplitz operator | model space | kernel functions | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX SYMMETRIC-OPERATORS | truncated Toeplitz operator | conjugation | Mathematics - Functional Analysis

Conjugation | Kernel functions | Model space | Truncated Toeplitz operator | model space | kernel functions | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX SYMMETRIC-OPERATORS | truncated Toeplitz operator | conjugation | Mathematics - Functional Analysis

Journal Article

International Journal of Systems Science, ISSN 0020-7721, 01/2016, Volume 47, Issue 2, pp. 328 - 342

This paper provides a new approach referred to as pseudo-predictor feedback (PPF) for stabilisation of linear systems with multiple input delays...

consensus | truncated pseudo-predictor feedback | multi-agent systems | multiple input delays | stabilisation | DESIGN | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXPONENTIAL STABILITY | MULTIAGENT SYSTEMS | TIME | COMPUTER SCIENCE, THEORY & METHODS | AUTOMATION & CONTROL SYSTEMS | Linear systems | Controllers | Feedback | Control systems | Mathematical models | Control theory | Expert systems | Delay | Mathematics - Optimization and Control

consensus | truncated pseudo-predictor feedback | multi-agent systems | multiple input delays | stabilisation | DESIGN | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXPONENTIAL STABILITY | MULTIAGENT SYSTEMS | TIME | COMPUTER SCIENCE, THEORY & METHODS | AUTOMATION & CONTROL SYSTEMS | Linear systems | Controllers | Feedback | Control systems | Mathematical models | Control theory | Expert systems | Delay | Mathematics - Optimization and Control

Journal Article

Statistics and Computing, ISSN 0960-3174, 11/2014, Volume 24, Issue 6, pp. 1111 - 1123

.... We propose an interesting EM algorithm for computing the maximum likelihood for generalized linear mixed t-link models for correlated binary data...

Statistics and Computing/Statistics Programs | Generalized linear mixed models | Correlated binary data | Artificial Intelligence (incl. Robotics) | Statistical Theory and Methods | Statistics | EM-algorithm | Probability and Statistics in Computer Science | Truncated multivariate t -distribution | Truncated multivariate t-distribution | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS | Monte Carlo method | Models | Algorithms | Analysis

Statistics and Computing/Statistics Programs | Generalized linear mixed models | Correlated binary data | Artificial Intelligence (incl. Robotics) | Statistical Theory and Methods | Statistics | EM-algorithm | Probability and Statistics in Computer Science | Truncated multivariate t -distribution | Truncated multivariate t-distribution | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS | Monte Carlo method | Models | Algorithms | Analysis

Journal Article

Advances in difference equations, ISSN 1687-1847, 2018, Volume 2018, Issue 1, pp. 1 - 15

... of the mean square stability between the partially truncated Euler–Maruyama method and stochastic differential equations with super-linear growing coefﬁcients Yanan Jiang...

Super-linear growing coefficients | Stochastic differential equations | Ordinary Differential Equations | Functional Analysis | Analysis | Partially truncated Euler–Maruyama method | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | Mean square exponential stability | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | APPROXIMATIONS | MATHEMATICS | SCHEME | RATES | CONVERGENCE | SDES | DELAY EQUATIONS | Partially truncated Euler-Maruyama method | LIPSCHITZ CONTINUOUS COEFFICIENTS | Mean square values | Stability | Equivalence | Mathematical analysis | Differential equations

Super-linear growing coefficients | Stochastic differential equations | Ordinary Differential Equations | Functional Analysis | Analysis | Partially truncated Euler–Maruyama method | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | Mean square exponential stability | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | APPROXIMATIONS | MATHEMATICS | SCHEME | RATES | CONVERGENCE | SDES | DELAY EQUATIONS | Partially truncated Euler-Maruyama method | LIPSCHITZ CONTINUOUS COEFFICIENTS | Mean square values | Stability | Equivalence | Mathematical analysis | Differential equations

Journal Article

Statistical Methods & Applications, ISSN 1618-2510, 3/2017, Volume 26, Issue 1, pp. 49 - 79

.... Parameter estimates can be obtained by exploiting the ratios of successive frequency counts in a weighted linear regression framework...

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences | Capture–recapture methods | Statistics for Business/Economics/Mathematical Finance/Insurance | Statistics for Life Sciences, Medicine, Health Sciences | Truncated-at-zero count data | Statistical Theory and Methods | Heterogeneous populations | Ratio plot | Statistics, general | Statistics | Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law | COUNT DATA | CLOSED POPULATION | MIXTURE-MODELS | Capture-recapture methods | STATISTICS & PROBABILITY | PROBABILITIES | Studies | Population | Parameter estimation | Statistical methods | Mathematical models | Poisson distribution | Heterogeneity | Population (statistical) | Regression | Proposals | Estimates | Estimators | Counting

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences | Capture–recapture methods | Statistics for Business/Economics/Mathematical Finance/Insurance | Statistics for Life Sciences, Medicine, Health Sciences | Truncated-at-zero count data | Statistical Theory and Methods | Heterogeneous populations | Ratio plot | Statistics, general | Statistics | Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law | COUNT DATA | CLOSED POPULATION | MIXTURE-MODELS | Capture-recapture methods | STATISTICS & PROBABILITY | PROBABILITIES | Studies | Population | Parameter estimation | Statistical methods | Mathematical models | Poisson distribution | Heterogeneity | Population (statistical) | Regression | Proposals | Estimates | Estimators | Counting

Journal Article

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