Mathematics â€ș Applied Mathematics

Statistical and numerical algorithms

Description

This cluster of papers focuses on the theory, algorithms, and applications of Total Least Squares (TLS) methods, including Singular Spectrum Analysis, weighted least squares, geodetic transformations, forecasting models, errors-in-variables models, structured low-rank approximation, parameter estimation, and time series analysis.

Keywords

Total Least Squares; Singular Spectrum Analysis; Weighted Least Squares; Geodetic Transformations; Forecasting; Errors-in-Variables Models; Structured Low-Rank Approximation; Parameter Estimation; Time Series Analysis; Regression

Most Cited Works

Action Title Date Authors
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An Analysis of Transformations 1964-07-01 George E. P. Box David R. Cox
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The Determination of the Order of an Autoregression 1979-01-01 E. J. Hannan Barry G. Quinn
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Geophysical data analysis : discrete inverse theory 1989-01-01 William Menke
An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach 2011-08-04 Finn Lindgren HÄvard Rue Johan Lindström
On Approximating the Statistical Properties of Elasticities 1986-11-01 Itzhak Krinsky A. Leslie Robb
The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems 1993-11-01 Per Christian Hansen Dianne P. O’Leary
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Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods 1971-09-01 John G. Cragg
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Rank Transformations as a Bridge between Parametric and Nonparametric Statistics 1981-08-01 W. J. Conover Ronald L. Iman
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Parameter estimation in astronomy through application of the likelihood ratio 1979-03-01 W. Cash
Flexible smoothing with B-splines and penalties 1996-05-01 Paul H.C. Eilers Brian D. Marx
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The varimax criterion for analytic rotation in factor analysis 1958-09-01 Henry F. Kaiser
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Numerical methods for least squares problems 1996-11-01 Åke Björck
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Ridge Regression: Applications to Nonorthogonal Problems 1970-02-01 Arthur E. Hoerl Robert W. Kennard
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Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting 1988-09-01 William S. Cleveland Susan J. Devlin
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Analysis of Discrete Ill-Posed Problems by Means of the L-Curve 1992-12-01 Per Christian Hansen
X. <i>On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling</i> 1900-07-01 Karl Pearson
The psychometric function: I. Fitting, sampling, and goodness of fit 2001-11-01 Felix A. Wichmann N. Jeremy Hill
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Ridge Regression: Biased Estimation for Nonorthogonal Problems 2000-02-01 Arthur E. Hoerl Robert W. Kennard
On the Convergence Properties of the EM Algorithm 1983-03-01 Changbao Wu
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Information Theory and an Extension of the Maximum Likelihood Principle 1998-01-01 H. Akaike
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Positive matrix factorization: A non‐negative factor model with optimal utilization of error estimates of data values 1994-06-01 Pentti Paatero Unto Tapper
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Analysis of fMRI Time-Series Revisited 1995-03-01 Karl Friston Andrew P. Holmes J.-B. Poline P.J. Grasby Steven Williams R. S. J. Frackowiak Richard Turner
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Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties 2001-12-01 Jianqing Fan Runze Li
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Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates 2001-02-01 I. M. Sobol
Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy 1986-02-01 B. Efron R. Tibshirani
A theory for multiresolution signal decomposition: the wavelet representation 1989-07-01 Stéphane Mallat
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A transformation for ordering multispectral data in terms of image quality with implications for noise removal 1988-01-01 A.A. Green Mark Berman Paul Switzer Maurice Craig
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems 1986-07-01 Yousef Saad Martin H. Schultz
Thin Plate Regression Splines 2003-01-28 Simon N. Wood
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A Caution Regarding Rules of Thumb for Variance Inflation Factors 2007-03-12 Robert M. O’Brien
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Spline Models for Observational Data. 1991-09-01 Hans‐Georg MĂŒller Grace Wahba
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Generalized Inverse of Matrices and Its Applications 1973-02-01 K. S. Banerjee
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Transformed Up-Down Methods in Psychoacoustics 1971-02-01 Harry Levitt
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Singularity detection and processing with wavelets 1992-03-01 Stéphane Mallat Wen-Liang Hwang
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Spectrum estimation and harmonic analysis 1982-01-01 David J. Thomson
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Partial least-squares regression: a tutorial 1986-01-01 Paul Geladi Bruce R. Kowalski
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The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses 1984-09-01 Svante Wold Axel Ruhe Herman Wold William J. Dunn
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A Simplex Method for Function Minimization 1965-01-01 J. A. Nelder R. Mead
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Least-Squares Means: The<i>R</i>Package<b>lsmeans</b> 2016-01-01 Russell V. Lenth
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A method for the solution of certain non-linear problems in least squares 1944-07-01 Kenneth Levenberg
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A Wavelet Tour of Signal Processing : The Sparse Way 2008-01-01 Stéphane Mallat Gabriel Peyré
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Methods of conjugate gradients for solving linear systems 1952-12-01 Magnus R. Hestenes Eduard Stiefel
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Introduction to Time Series and Forecasting 2002-01-01 Peter J. Brockwell Richard A. Davis
Bayesian Interpolation 1992-05-01 David Mackay
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Functional Data Analysis 2005-12-01 J. O. Ramsay
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Data Reduction and Error Analysis for the Physical Sciences 1993-07-01 P. R. Bevington D. Keith Robinson Julian M. Blair A. John Mallinckrodt Susan R. McKay
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Ridge Regression: Biased Estimation for Nonorthogonal Problems 1970-02-01 Arthur E. Hoerl Robert W. Kennard
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Information Theory and an Extension of the Maximum Likelihood Principle 1992-01-01 H. Akaike
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Functional Data Analysis 2005-01-01 J. O. Ramsay B. W. Silverman
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Tests for Specification Errors in Classical Linear Least-Squares Regression Analysis 1969-07-01 James B. Ramsey

Most Recent Works

Action Title Date Authors
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The Quadratic Phase Curvelet Transform and Associated Uncertainty Relations 2025-04-11 Soumya Singh Sunil Kumar Singh
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A Direct Method for Solving Regularized Quaternion Matrix Regression Problems 2025-04-13 Cong Yuan Xin Liu Yibin Yu Yang Zhang
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An Algorithm for Improving the Condition Number of Matrices and Its Application for Solving the Inverse Problems of Gravimetry and Magnetometry 2025-04-13 A. S. Leonov D. V. Lukyanenko A. G. Yagola Yanfei Wang
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Problems of Qibla Direction Shift Due to Earth Plate Shift in Indonesia 2025-04-13 Akmam Mutrofin Faradhina Millatul Maula Syarifah Titin Sundari Yayat Dimyati Risanuri Hidayat
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Removal of Outliers in Geomagnetic Field Time Series Using the Hampel Filter 2025-04-14 ĐĄ.А. Đ˜ĐŒĐ°ŃˆĐ”ĐČ E. А. Lazareva
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Testing redshift variation of the X-ray and ultraviolet luminosity relations of quasars 2025-04-15 Jiayi Wu Chao Liu Haocheng Yu Puxun Wu
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Online Monitoring of Structural Change Points Based on Ratio-Type Statistics 2025-04-17 Wenjie Li Hao Jin Minghua Wu
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Deriving WMO cloud classes from ground-based RGB pictures with a residual neural network ensemble 2025-04-17 Markus Rosenberger Manfred Dorninger Martin Weißmann
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Estimation of linear regression parameters by minimizing the sum of the excesses of the approximation error modules relative to a given level 2025-04-18 ĐĄ. И. ĐĐŸŃĐșĐŸĐČ S. V. Belyaev
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The Error and Perturbation Bounds of the General Absolute Value Equations 2025-04-22 Cui-Xia Li Shi-Liang Wu
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MATRIX GENERALIZATION OF TOPOCENTRIC COORDINATE TRANSFORMATIONS 2025-04-15 А. DEGTJAREV P. PARADNYA
AutoPQ: Automating quantile estimation from point forecasts in the context of sustainability 2025-04-23 Stefan Meisenbacher Kaleb Phipps Oskar Taubert Marie Weiel Markus Götz Ralf Mikut Veit Hagenmeyer
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Modified conjugate gradient iterative algorithm for the generalized coupled Sylvester matrix equations and its application in image restoration 2025-04-24 Zebin Chen Yanwei Ding Xuesong Chen Jinxiu Zhang Hui‐Jie Sun
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A Lower Bound Estimate for the Uniform Norm of a Linear Combination of Complex Polynomials 2025-04-24 Khangembam Babina Devi Barchand Chanam
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The continuous wavelet transform in terms of generalized Kontorovich-Lebedev transform 2025-04-25 U. K. Mandal Laxmi
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Long-term multiwavelength observations of 1ES 1218+304: physical implications of the flux and spectral variability 2025-04-24 Bidzina Kapanadze A. Gurchumelia M. F. Aller
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Riemannian optimization for variance estimation in linear mixed models 2025-04-24 LukĂĄĆĄ Peter Jan Pablo Burgard Volker Schulz
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On Bayesian wavelet shrinkage estimation of nonparametric regression models with stationary correlated noise 2025-04-27 Alex Rodrigo dos Santos Sousa Mauricio Zevallos
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Deterministic uncertainty for terrestrial laser scanning observations based on intervals 2025-04-28 Reza Naeimaei Steffen Schön
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Geographic Dependency of the Curve Number Method’s Initial Abstraction Ratio 2025-04-29 Glenn E. Moglen Jim Miller Geoffrey A Cerrelli
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How data or error covariance can change and still retain BLUEs as well as their covariance or the sum of squares of errors 2025-04-29 Stephen Haslett Jarkko Isotalo Augustyn Markiewicz Simo Puntanen
Tomographic halo model of the unWISE-Blue galaxies using cross-correlations with BOSS CMASS galaxies 2025-04-29 Alex Krolewski J.R. Lawrence Will J. Percival
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Insights from b value analysis of Campi Flegrei unrests 2025-04-29 Vincenzo Convertito C. Godano Giuseppe Petrillo Anna Tramelli
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Testing interacting dark energy with Stage IV cosmic shear surveys through differentiable neural emulators 2025-04-29 Karim Carrion A. Spurio Mancini Davide Piras Juan Carlos Hidalgo
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TRANSFORMATIONS OF PSEUDO-EIGENVALUES IN ARTIFICIAL INTELLIGENCE PROBLEMS 2025-04-30 S. U. Zhanatauov
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Sixteenth-Order Steffensen-Ostrowski Approach for Nonlinear Problems with ​A​pplications in Celestial, Predator-Prey and Neural Activation​ 2025-05-01 Saima Akram Muhammad Bilal Riaz Faiza Akram Fouzia Amir Hareem Khalid Dexkanov Suxrob Sobirovich
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Anti-Diagonals-Parameter Symmetry Model for Square Contingency Tables with Ordinal Classifications 2025-05-01 Shuji Ando
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Stochastic SO(2) Lie Group Method for Approximating Correlation Matrices 2025-04-30 Melike Bildirici Yasemen Uçan Ramazan Tekercioğlu
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The Standard Model of Particle Physics as an effectivetheory from two non-universal U (1)’s 2025-04-30 Richard H. Benavides William A. Ponce Eduardo Rojas Yithsbey Giraldo Oscar Rodríguez
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Deriving WMO Cloud Classes From Ground‐Based RGB Pictures With a Residual Neural Network Ensemble 2025-05-01 Markus Rosenberger Manfred Dorninger Martin Weißmann
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Higher order error estimates for regularization of inverse problems under non-additive noise 2025-05-02 Diana Elena Mirciu Elena Resmerita
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Error-based Correlation Coefficient: An Alternative to Combine Error and Coefficient of Correlation and Its Application in Geophysical Data 2025-05-01 Waskito Pranowo Adhitya Ryan Ramadhani
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Highly accurate short-term prediction of BDS-3 satellite clock bias based on SSA-ANFIS integrated modeling 2025-04-30 Kaihui Lv Chenglin Cai Yujie Cai Wei Guan Yun Fang
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Poisson autoregressions for forecasting extreme events: earthquakes and heatwaves in Italy 2025-05-02 Giovanni Angelini Mauro Costantini
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NHL aging curves using functional principal component analysis 2025-05-02 Elijah Cavan Jiguo Cao Tim B. Swartz
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Influence diagnostics for ridge regression using the Kullback–Leibler divergence 2025-05-03 Alonso Ogueda Felipe Osorio
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Singular spectrum analysis – an automatic detection technique for mean scatterer spacing estimation using ultrasound signals 2025-05-03 Adriana Kauati Guillermo Cortela Marcello L. R. de Campos Wagner Coelho de Albuquerque Pereira
Integrating anatomy and electrophysiology in the healthy human heart: Insights from biventricular statistical shape analysis using universal coordinates 2025-05-04 L. van Santvliet Elena Zappon Matthias A. F. Gsell Franz Thaler Maarten Blondeel Steven Dymarkowski Guido Claessen Rik Willems Martin Urschler Bert Vandenberk
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An algorithm for the estimation of the segmental Lebesgue constant 2025-05-01 Ludovico Bruni Bruno Giacomo Elefante
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The corrected likelihood approach for adjusting measurement error in Cox’s model 2025-05-05 A. Shaji George G. Asha
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A MATLAB-Based Tool for Converting fNIRS Time-Series Data to Homer3-Compatible Formats 2025-05-01 Chao Wang Xiaojun Cheng Shichao Liu
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Analisis Ketinggian Banjir Menggunakan Penerapan Model Hybrid Singular Spectrum Analysis – Artificial Neural Network Pada Peramalan Curah Hujan 2025-04-30 Muhammad Romi Syahputra R. Mohamad Atok
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Projected iterated Tikhonov in general form with adaptive choice of the regularization parameter 2025-05-06 Alessandro Buccini Silvia Gazzola Lucas Onisk Mirjeta Pasha Lothar Reichel
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Rotating Accelerometer Gravity Gradiometer Magnetic Noise Model Verification Via Calibration and Post-Error Correction Method 2025-05-06 Xukai Guo Peng Chen Jingda Xiong Yu Liang Xiaobing Yu Tao Jiang Bohai Ke Li Yu Chenyuan Hu Huafeng Liu
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Dimension reduction in vector autoregressive models for macroeconomic applications 2025-05-06 H. M. Wiranthe B. Herath
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GNSS Geodetic Velocity Prediction Using Deep Neural Network: A Case Study of Cairo Area, Egypt 2025-05-07 Alshimaa Y. Abo Gharbia M. R. Hassan Mohamed Saleh Ahmed Gomaa Ashraf Mousa Ibrahim A. Abbas
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Forecasting constraints on the high-<i>z</i> IGM thermal state from the Lyman-α forest flux auto-correlation function 2025-05-08 Molly Wolfson Joseph F. Hennawi Frederick B. Davies Zarija Lukić JosĂ© Oñorbe
Gaussian zonoids, Gaussian determinants and Gaussian random fields 2025-05-09 Léo Mathis
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Stable iterative refinement for solving linear systems with inaccurate computation 2025-05-01 Chai Wah Wu Mark S. Squillante Vassilis Kalantzis Lior Horesh
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A Machine Learning Method for Monte Carlo Calculations of Radiative Processes 2025-05-08 William Charles Alexander Y. Chen