Results 1 to 10 of about 170,593 (200)
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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Smoothing Splines and Shape Restrictions [PDF]
Scandinavian Journal of Statistics, 1999 Constrained smoothing splines are discussed under order restrictions on the shape of the function m. We consider shape constraints of the type m(r)≥ 0, i.e. positivity, monotonicity, convexity, .... (Here for an integer r≥ 0, m(r) denotes the rth derivative of m.) The paper contains three results: (1) constrained smoothing splines achieve optimal rates
Christine M. Thomas-Agnan, E Mammen
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Resistant selection of the smoothing parameter for smoothing splines
Statistics and Computing, 2001 Robust automatic selection techniques for the smoothing parameter of a smoothing spline are introduced. They are based on a robust predictive error criterion and can be viewed as robust versions of Cp and cross-validation. They lead to smoothing splines which are stable and reliable in terms of mean squared error over a large spectrum of model ...
Eva Cantoni, Elvezio Ronchetti
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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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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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Constrained Spline Smoothing [PDF]
SIAM Journal on Numerical Analysis, 2008 Several results on constrained spline smoothing are obtained. In particular, we establish a general result, showing how one can constructively smooth any monotone or convex piecewise polynomial function (ppf) (or any $q$-monotone ppf, $q\geq 3$, with one additional degree of smoothness) to be of minimal defect while keeping it close to the original ...
Kirill A. Kopotun +2 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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