Investigation of Methods of Localization of q-Jumps and Discontinuities of First Kind of Noisy Function

2019 ◽  
Vol 63 (7) ◽  
pp. 1-11
Author(s):  
A. L. Ageev ◽  
T. V. Antonova
Keyword(s):  
Noisy Function

scholarly journals Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Error Analysis ◽  
Error Bounds ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
The Other ◽  
Cubic Spline Interpolation ◽  
Numerical Tests ◽  
New Methods ◽  
Noisy Function

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

A Stochastic Newton-Raphson Method with Noisy Function Measurements

2016 ◽  
Vol 23 (3) ◽  
pp. 361-365 ◽  
Author(s):  
Khaled Kamal Saab ◽  
Samer Said Saab
Keyword(s):  
Noisy Function ◽  
Newton Raphson ◽  
Raphson Method

On the Entropy of a Noisy Function

2016 ◽  
Vol 62 (10) ◽  
pp. 5446-5464 ◽  
Author(s):  
Alex Samorodnitsky
Keyword(s):  
Noisy Function

Conditional optimization of a noisy function using a kriging metamodel

2019 ◽  
Vol 73 (3) ◽  
pp. 615-636
Author(s):  
Diariétou Sambakhé ◽  
Lauriane Rouan ◽  
Jean-Noël Bacro ◽  
Eric Gozé
Keyword(s):  
Kriging Metamodel ◽  
Noisy Function ◽  
Conditional Optimization
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