V-Spline: An Adaptive Smoothing Spline for Trajectory Reconstruction [PDF]
Sensors, 2021 Trajectory reconstruction is the process of inferring the path of a moving object between successive observations. In this paper, we propose a smoothing spline—which we name the V-spline—that incorporates position and velocity information and a penalty ...
Zhanglong Cao +4 more
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Novel Information-Driven Smoothing Spline Linearization Method for High-Precision Displacement Sensors Based on Information Criterions [PDF]
Sensors, 2023 A noise-resistant linearization model that reveals the true nonlinearity of the sensor is essential for retrieving accurate physical displacement from the signals captured by sensing electronics.
Wen-Hao Zhang +5 more
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Application of Smoothing Spline in Determining the Unmanned Ground Vehicles Route Based on Ultra-Wideband Distance Measurements [PDF]
Sensors, 2022 Unmanned ground vehicles (UGVs) are technically complex machines to operate in difficult or dangerous environmental conditions. In recent years, there has been an increase in research on so called “following vehicles”. The said concept introduces a guide—
Łukasz Rykała +3 more
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Principle of Duality in Cubic Smoothing Spline
Mathematics, 2020 Fitting a cubic smoothing spline is a typical smoothing method. This paper reveals a principle of duality in the penalized least squares regressions relating to the method.
Hiroshi Yamada
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Use of Two Smoothing Parameters in Penalized Spline Estimator for Bi-variate Predictor Non-parametric Regression Model [PDF]
Journal of Sciences, Islamic Republic of Iran, 2020 Penalized spline criteria involve the function of goodness of fit and penalty, which in the penalty function contains smoothing parameters. It serves to control the smoothness of the curve that works simultaneously with point knots and spline degree. The
Anna Islamiyati
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Spline estimator and its asymptotic properties in multiresponse nonparametric regression model [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In applications, we often meet the problem where more than one response variable is observed at several values of predictor variables, and these responses are correlated with each other.
Budi Lestari +2 more
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Quantile smoothing splines [PDF]
Biometrika, 1994 Summary: Although nonparametric regression has traditionally focused on the estimation of conditional mean functions, nonparametric estimation of conditional quantile functions is often of substantial practical interest. We explore a class of quantile smoothing splines, defined as solutions to \[ \min_{g\in {\mathcal G}}\sum \rho_ \tau \{y_ i- g(x_ i)\}
Koenker, Roger W. +2 more
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Frontiers in Earth Science, 2023 This study investigated the effects of various seasonal fitting techniques on the spatial distribution of the common mode errors taking the coordinate time series of the continuous GPS reference stations of the Crustal Movement Observation Network of ...
Peiyu Miao +7 more
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Smoothing Splines for Discontinuous Signals
Journal of Computational and Graphical Statistics, 2023 Smoothing splines are twice differentiable by construction, so they cannot capture potential discontinuities in the underlying signal. In this work, we consider a special case of the weak rod model of Blake and Zisserman that allows for discontinuities penalizing their number by a linear term.
Martin Storath, Andreas Weinmann
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Penalized spline estimator with multi smoothing parameters in bi-response multi-predictor nonparametric regression model for longitudinal data [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 Penalized spline estimators that depend on a smoothing parameter is one type of estimator used in the estimation regression curve in nonparametric regression.
Anna Islamiyati, Fatmawati, Nur Chamidah
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