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Homotopy nonlinear weighted total least squares adjustment
Total least squares estimation based on Gauss–Newton method in nonlinear errors-in-variables (NEIV) model will encounter the problems of convergence,...
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Integer Least Squares
In this chapter the general mixed integer linear model is introduced and its background in application for the Global Navigation Satellite Systems...
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Convolutional Neural Network-Assisted Least-Squares Migration
Least-squares migration (LSM) is a data-fitting imaging approach seeking the seismic reflectivity image of the most accurate amplitude and optimal...
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Low-rank Representation for Seismic Reflectivity and its Applications in Least-squares Imaging
Sparse representation and inversion have been widely used in the acquisition and processing of geophysical data. In particular, the low-rank...
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Geoid modeling with least squares modification of Hotine’s integral using gravity disturbances in Turkey
This study aims to investigate the regional gravimetric geoid modeling accuracy performance using least squares modification of Hotine’s integral...
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Comparison between total least squares and ordinary least squares in obtaining the linear relationship between stable water isotopes
The linear relationship between two stable water isotopes (δD and δ 18 O) has been used to examine the physical processes and movements or changes of...
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1D regularization inversion combining particle swarm optimization and least squares method
For geophysical inversion problems, deterministic inversion methods can easily fall into local optimal solutions, while stochastic optimization...
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Improving the accuracy of polar motion prediction using a hybrid least squares and long short-term memory model
Earth rotation parameters (ERPs) are essential for transforming between the celestial and terrestrial reference frames, and for high-precision space...
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Modelling and mitigation of GNSS multipath effects by least-squares collocation considering spatial autocorrelation
Multipath effects can lead to delays of centimeters in GNSS phase observations depending on the station environment. Those delays can seriously...
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Tikhonov-regularized weighted total least squares formulation with applications to geodetic problems
This contribution presents the Tikhonov regularized weighted total least squares (TRWTLS) solution in an errors-in-variables (EIV) model. The...
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Regularized integer least-squares estimation: Tikhonov’s regularization in a weak GNSS model
The strength of the GNSS precise positioning model degrades in cases of a lack of visible satellites, poor satellite geometry or uneliminated...
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Characteristics analysis and prediction of Low Earth Orbit (LEO) satellite clock corrections by using least-squares harmonic estimation
With the vigorous development of Low Earth Orbit (LEO) satellite constellations, the concept of LEO-enhanced GNSS is proposed and quickly becomes the...
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An enhanced monthly runoff forecasting using least squares support vector machine based on Harris hawks optimization and secondary decomposition
Accurate and reliable monthly runoff predictions are crucial for dispatching, allocation, and planning management of water resources. This research...
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A practical software package for computing gravimetric geoid by the least squares modification of Hotine’s formula
Today’s geodetic community starts to model an accurate gravimetric geoid within a 5 mm level, which entirely meets the demands of all technical and...
