A Data - Adaptive Knot Selection Scheme for
نویسندگان
چکیده
| A critical component of spline smoothing is the choice of knots, especially for curves with varying shapes and frequencies in its domain. We consider a two-stage knot selection scheme for adaptively tting splines to data subject to noise. A potential set of knots is chosen based on information from certain wavelet decompositions with the intention to place more points where the curve shows rapid changes. The nal knot selection is then made based on statistical model selection ideas. We show that the proposed method is well suited for a variety of smoothing and noise ltering needs.
منابع مشابه
A Data - Adaptive Knot Selection Scheme for FittingSplinesXuming
| A critical component of spline smoothing is the choice of knots, especially for curves with varying shapes and frequencies in its domain. We consider a two-stage knot selection scheme for adaptively tting splines to data subject to noise. A potential set of knots is chosen based on information from certain wavelet decompositions with the intention to place more points where the curve shows ra...
متن کاملSpatial Design for Knot Selection in Knot-Based Low-Rank Models
Analysis of large geostatistical data sets, usually, entail the expensive matrix computations. This problem creates challenges in implementing statistical inferences of traditional Bayesian models. In addition,researchers often face with multiple spatial data sets with complex spatial dependence structures that their analysis is difficult. This is a problem for MCMC sampling algorith...
متن کاملOptimal Combined and Adaptive Protection of Active Distribution Networks Considering Different System Topologies Incorporating Optimal Selection of Standard Relay Curves
The change in the topology of active distribution networks (ADNs) is one of the essential challenges that might affect the protection schemes. The conventional protection schemes based on base topology result in some coordination constraint violations in other topologies due to the outage of upstream substations and distributed generation units. In this article, new combinational and adaptive p...
متن کاملAsymptotic properties of the sample mean in adaptive sequential sampling with multiple selection criteria
We extend the method of adaptive two-stage sequential sampling toinclude designs where there is more than one criteria is used indeciding on the allocation of additional sampling effort. Thesecriteria, or conditions, can be a measure of the targetpopulation, or a measure of some related population. We developMurthy estimator for the design that is unbiased estimators fort...
متن کاملAdaptive Segmentation with Optimal Window Length Scheme using Fractal Dimension and Wavelet Transform
In many signal processing applications, such as EEG analysis, the non-stationary signal is often required to be segmented into small epochs. This is accomplished by drawing the boundaries of signal at time instances where its statistical characteristics, such as amplitude and/or frequency, change. In the proposed method, the original signal is initially decomposed into signals with different fr...
متن کامل