An Algorithm for Clustering UsingL1-Norm Based on Hyperbolic Smoothing Technique

2015 ◽  
Vol 32 (3) ◽  
pp. 439-457 ◽  
Author(s):  
Adil M. Bagirov ◽  
Ehsan Mohebi
Keyword(s):  
Smoothing Technique ◽  
Hyperbolic Smoothing

Optimal covering of solid bodies by spheres via the hyperbolic smoothing technique

2014 ◽  
Vol 30 (2) ◽  
pp. 391-403 ◽  
Author(s):  
Helder Manoel Venceslau ◽  
Daniela Cristina Lubke ◽  
Adilson Elias Xavier
Keyword(s):  
Smoothing Technique ◽  
Solid Bodies ◽  
Hyperbolic Smoothing

scholarly journals Generalization of hyperbolic smoothing approach for non-smooth and non-Lipschitz functions

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Nurullah Yilmaz ◽  
Ahmet Sahiner
Keyword(s):  
Image Restoration ◽  
Lipschitz Functions ◽  
Numerical Results ◽  
Smoothing Technique ◽  
Minimization Algorithm ◽  
Smooth Functions ◽  
Regularization Problem ◽  
Hyperbolic Smoothing

<p style='text-indent:20px;'>In this study, we concentrate on the hyperbolic smoothing technique for some sub-classes of non-smooth functions and introduce a generalization of hyperbolic smoothing technique for non-Lipschitz functions. We present some useful properties of this generalization of hyperbolic smoothing technique. In order to illustrate the efficiency of the proposed smoothing technique, we consider the regularization problems of image restoration. The regularization problem is recast by considering the generalization of hyperbolic smoothing technique and a new algorithm is developed. Finally, the minimization algorithm is applied to image restoration problems and the numerical results are reported.</p>

Simplified realisation method of modified spatial smoothing technique

1988 ◽  
Vol 24 (18) ◽  
pp. 1176 ◽  
Author(s):  
S. Park ◽  
C.K. Un
Keyword(s):  
Spatial Smoothing ◽  
Smoothing Technique

scholarly journals Discrete Wavelet Transform for the Real-Time Smoothing of Wind Turbine Power Using Li-Ion Batteries

Energies ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 2184
Author(s):  
Andrea Mannelli ◽  
Francesco Papi ◽  
George Pechlivanoglou ◽  
Giovanni Ferrara ◽  
Alessandro Bianchini
Keyword(s):  
Wavelet Transform ◽  
Wind Turbine ◽  
Discrete Wavelet Transform ◽  
Real Time ◽  
Power Output ◽  
Discrete Wavelet ◽  
Smoothing Technique ◽  
The Real ◽  
Power Smoothing ◽  
Li Ion

Energy Storage Systems (EES) are key to further increase the penetration in energy grids of intermittent renewable energy sources, such as wind, by smoothing out power fluctuations. In order this to be economically feasible; however, the ESS need to be sized correctly and managed efficiently. In the study, the use of discrete wavelet transform (Daubechies Db4) to decompose the power output of utility-scale wind turbines into high and low-frequency components, with the objective of smoothing wind turbine power output, is discussed and applied to four-year Supervisory Control And Data Acquisition (SCADA) real data from multi-MW, on-shore wind turbines provided by the industrial partner. Two main research requests were tackled: first, the effectiveness of the discrete wavelet transform for the correct sizing and management of the battery (Li-Ion type) storage was assessed in comparison to more traditional approaches such as a simple moving average and a direct use of the battery in response to excessive power fluctuations. The performance of different storage designs was compared, in terms of abatement of ramp rate violations, depending on the power smoothing technique applied. Results show that the wavelet transform leads to a more efficient battery use, characterized by lower variation of the averaged state-of-charge, and in turn to the need for a lower battery capacity, which can be translated into a cost reduction (up to −28%). The second research objective was to prove that the wavelet-based power smoothing technique has superior performance for the real-time control of a wind park. To this end, a simple procedure is proposed to generate a suitable moving window centered on the actual sample in which the wavelet transform can be applied. The power-smoothing performance of the method was tested on the same time series data, showing again that the discrete wavelet transform represents a superior solution in comparison to conventional approaches.

Differentiation of Human Motion Data Using Combined Spline and Least Squares Concepts

1991 ◽  
Vol 113 (3) ◽  
pp. 348-351 ◽  
Author(s):  
W. Simons ◽  
K. H. Yang
Keyword(s):  
Least Squares ◽  
Human Motion ◽  
Smoothing Technique ◽  
Data Smoothing ◽  
Motion Data ◽  
Differentiation Method ◽  
Benchmark Data

A differentiation method, which combines the concepts of least squares and splines, has been developed to analyze human motion data. This data smoothing technique is not dependent on a choice of a cut-off frequency and yet it closely reflects the nature of the phenomenon. Two sets of published benchmark data were used to evaluate the new algorithm.

RECONSTRUCTION OF DIESEL ENGINE CYLINDER PRESSURE USING A TIME DOMAIN SMOOTHING TECHNIQUE

1999 ◽  
Vol 13 (5) ◽  
pp. 709-722 ◽  
Author(s):  
Y. GAO ◽  
R.B. RANDALL
Keyword(s):  
Diesel Engine ◽  
Time Domain ◽  
Cylinder Pressure ◽  
Smoothing Technique ◽  
Engine Cylinder
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