scholarly journals Measuring Smoothness of Trigonometric Interpolation Through Incomplete Sample Points

2021 ◽  
Author(s):  
Stephan Weiss ◽  
Jesus Selva ◽  
Malcolm D. Macleod
Keyword(s):  
Trigonometric Interpolation ◽  
Incomplete Sample ◽  
Sample Points

scholarly journals A blackbox yield estimation workflow with Gaussian process regression applied to the design of electromagnetic devices

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Mona Fuhrländer ◽  
Sebastian Schöps
Keyword(s):  
Gaussian Process ◽  
Surrogate Model ◽  
Hybrid Approach ◽  
Gaussian Process Regression ◽  
Benchmark Problems ◽  
Yield Estimation ◽  
Electromagnetic Devices ◽  
Main Challenge ◽  
Sample Points ◽  
Stochastic Yield

Abstract In this paper an efficient and reliable method for stochastic yield estimation is presented. Since one main challenge of uncertainty quantification is the computational feasibility, we propose a hybrid approach where most of the Monte Carlo sample points are evaluated with a surrogate model, and only a few sample points are reevaluated with the original high fidelity model. Gaussian process regression is a non-intrusive method which is used to build the surrogate model. Without many prerequisites, this gives us not only an approximation of the function value, but also an error indicator that we can use to decide whether a sample point should be reevaluated or not. For two benchmark problems, a dielectrical waveguide and a lowpass filter, the proposed methods outperform classic approaches.

scholarly journals Initial circulatory response to active standing in Parkinson's disease without typical orthostatic hypotension

2014 ◽  
Vol 72 (3) ◽  
pp. 208-213
Author(s):  
Guillermo Delgado ◽  
Bruno Estañol ◽  
Mayela Rodríguez-Violante ◽  
Jesús Antonio González-Hermosillo ◽  
Óscar Infante-Vázquez
Keyword(s):  
Parkinson’S Disease ◽  
Parkinson's Disease ◽  
Orthostatic Hypotension ◽  
Initial Response ◽  
Upright Position ◽  
Resistance Response ◽  
Circulatory Response ◽  
Volume Clamp Method ◽  
Sample Points ◽  
Prolonged Latency

While the circulatory response to orthostatic stress has been already evaluated in Parkinson's disease patients without typical orthostatic hypotension (PD-TOH), there is an initial response to the upright position which is uniquely associated with active standing (AS). We sought to assess this response and to compare it to that seen in young healthy controls (YHC). Method In 10 PD-TOH patients (8 males, 60±7 years, Hoehn and Yahr ≤3) the changes in systolic blood pressure (SBP) and heart rate that occur in the first 30 seconds (sec) of standing were examined. Both parameters were non-invasively and continuously monitored using the volume-clamp method by Peñáz and the Physiocal criteria by Wesseling. The choice of sample points was prompted by the results of previous studies. These sample points were compared to those of 10 YHC (8 males, 32±8 years). Results The main finding of the present investigation was an increased time between the AS onset and SBP overshoot in PD-TOH group (24±4 vs. 19±3 sec; p<0.05). Conclusion This delay might reflect a prolonged latency in the baroreflex-mediated vascular resistance response, but more studies are needed to confirm this preliminary hypothesis.

Sample sizes for point, double sampling

1992 ◽  
Vol 22 (7) ◽  
pp. 980-983 ◽  
Author(s):  
Richard G. Oderwald ◽  
Elizabeth Jones
Keyword(s):  
Basal Area ◽  
Double Sampling ◽  
Sample Sizes ◽  
Measuring Volume ◽  
Sample Points ◽  
Time Required ◽  
The Cost ◽  
Minimum Ratio

Formulas are derived for determining the total number of sample points and the number of volume points for a point, double sample with a ratio of means estimator to replace a point sample and achieve the same variance. A minimum ratio of the cost of measuring volume to the cost of measuring basal area at a point is determined for which the point, double sample will be less costly, in terms of time required to measure points, than the point sample.

scholarly journals Neville's method for trigonometric interpolation

1968 ◽  
Vol 11 (3) ◽  
pp. 311-313 ◽  
Author(s):  
D. B. Hunter
Keyword(s):  
Trigonometric Interpolation

Asymptotic behavior of Lebesgue constants in trigonometric interpolation

1982 ◽  
Vol 33 (6) ◽  
pp. 553-559 ◽  
Author(s):  
V. K. Dzyadyk ◽  
S. Yu. Dzyadyk ◽  
A. S. Prypik
Keyword(s):  
Asymptotic Behavior ◽  
Trigonometric Interpolation ◽  
Lebesgue Constants

scholarly journals IN BATHYMETRIC SURFACES: IDW OR KRIGING?

2017 ◽  
Vol 23 (3) ◽  
pp. 493-508 ◽  
Author(s):  
Italo Oliveira Ferreira ◽  
Dalto Domingos Rodrigues ◽  
Gérson Rodrigues dos Santos ◽  
Lidiane Maria Ferraz Rosa
Keyword(s):  
Universal Kriging ◽  
Digital Model ◽  
Inverse Distance Weighted ◽  
Scientific Methods ◽  
Distance Weighted ◽  
Sample Points ◽  
Computational Representation ◽  
Inverse Distance ◽  
Mineral Prospecting

Abstract: The representation of the submerged relief is very importance in diverse areas of knowledge such as Projects to build or reassess port dimensions, installation of moles, ducts, marinas, bridges, tunnels, mineral prospecting, waterways, dredging, silting control of river and lakes, and others. The depths of the aquatic bodies, indispensable for the representation of those, are obtained through the bathymetric surveys. However, the result of a bathymetric sampling is a grid of points that, for itself, it is not capable of generating directly the Digital Model of Depth (DMD), being necessary the use of interpolators. Currently, there are more than 40 available scientific methods of interpolation, each one with its particularities and characteristics. This study has the objective to analise, comparing, the efficiency of Universal Kriging (UK) and of the Inverse Distance Weighted (IDW) in the computational representation of bathymetric surfaces, varying in a decreasing way the quantity of sample points. Through the results, we can be stated the superiority of the interpolator Universal Kriging in efficiency in creating DMD with basis in the bathymetric surveys data.

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