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Diagnostics for Smoothing Splines
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1985 SUMMARY Diagnostic measures appropriate for use with smoothing splines are derived and their properties are investigated. The proposed measures focus on detection of observations which substantially influence the fit and provide additional information over that obtained from examination of residuals alone. A numerical example illustrates
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On smooth multivariate spline functions [PDF]
Mathematics of Computation, 1983 In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined.
Chui, Charles K., Wang, Ren-Hong
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Development of Semiparametric Smoothing Spline Path Analysis on Cashless Society
Cauchy: Jurnal Matematika Murni dan AplikasiPath analysis requires assumptions to be met, particularly the linearity assumption, which can be tested using the Ramsey Regression Specification Error Test (RESET). Parametric path analysis is appropriate when all variable relationships are linear. For
Muhammad Rafi Hasan Nurdin +4 more
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Efficient estimation of smoothing spline with exact shape constraints
Statistical Theory and Related Fields, 2021 Smoothing spline is a popular method in non-parametric function estimation. For the analysis of data from real applications, specific shapes on the estimated function are often required to ensure the estimated function undeviating from the domain ...
Vincent Chan +4 more
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Econometric Theory, 1999 We use smoothing splines to introduce prior information in nonparametric models. The type of information we consider is based on the belief that the regression curve is similar in shape to a parametric model. The resulting estimator is a convex sum of a fit to data and the parametric model, and it can be seen as shrinkage of the smoothing spline toward
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Monotone Smoothing Splines with Bounds [PDF]
Acta Applicandae Mathematicae, 2020 AbstractThe problem of monotone smoothing splines with bounds is formulated as a constrained minimization problem of the calculus of variations. Existence and uniqueness of solutions of this problem is proved, as well as the equivalence of it to a finite dimensional but nonlinear optimization problem. A new algorithm for computing the solution which is
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On algorithms for generalised smoothing splines [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1988 AbstractRecently, considerable interest has been shown in the connection between smoothing splines and a particular class of stochastic processes. Here the connection with an equivalent class of least squares problems is used to develop algorithms, and properties of the solution are examined.
Osborne, M. R., Prvan, Tania
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Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
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Финансы: теория и практика, 2022 This paper aims to restore some parameters of functionals using cubic splines to forecast rare events in finance and economics. The article considers the mathematical method for recovering an unknown function from many different functionals, such as the ...
Yu. A. Korablev
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Advanced Healthcare Materials, EarlyView.An innovative, lightweight 3D‐printed skinfold chamber system is presented for long‐term intravital imaging. This affordable, biocompatible platform simplifies surgical implantation and allows high‐resolution, multimodal visualization of the tumor microenvironment for up to four weeks.
Iván Cortés Domínguez +9 more
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