The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis [PDF]
Journal of Mathematical Analysis and Applications, 2010 The authors study the class of dyadic \(A_p\)-weights in connection with dyadic maximal operators (where in both cases on considers dyadic cubes only) and show that one obtains results corresponding to the ones one gets for the usual \(A_p\)-weights and maximal operators.
Yoshihiro Sawano
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Coarse-graining and the Haar wavelet transform for multiscale analysis [PDF]
Bioelectronic Medicine, 2022 Background Multiscale entropy (MSE) has become increasingly common as a quantitative tool for analysis of physiological signals. The MSE computation involves first decomposing a signal into multiple sub-signal ‘scales’ using a coarse-graining algorithm ...
William J. Bosl +2 more
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Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method
Mathematics, 2021 The current study is focused on development and adaption of the higher order Haar wavelet method for solving nonlinear ordinary differential equations. The proposed approach is implemented on two sample problems—the Riccati and the Liénard equations. The
Mart Ratas, Andrus Salupere, Jüri Majak
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A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations [PDF]
Scientific ReportsThis study presents a modified numerical framework based on scale-3 Haar wavelets for the solution of elliptic partial differential equations, namely the Poisson and the Helmholtz equations.
Avinash K., Harinakshi Karkera
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Underwater image restoration with Haar wavelet transform and ensemble of triple correction algorithms using Bootstrap aggregation and random forests [PDF]
Scientific Reports, 2022 This paper presents both a new strategy for traditional underwater image restoration using Haar wavelet transform as well as a new learned model that generates an ensemble of triple correction algorithm labels based on histogram quadrants’ cumulative ...
Vahid Rowghanian
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HWANet: A Haar Wavelet-based Attention Network for remote sensing object detection. [PDF]
PLoS ONERemote sensing object detection (RSOD) is highly challenging due to large variations in object scales. Existing deep learning-based methods still face limitations in addressing this challenge.
Baohua Jin +8 more
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Free vibration analysis of tapered Timoshenko beam with higher order Haar wavelet method [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In the current study, the higher order Haar wavelet method based formulation is developed for the analysis of the free vibrations of the tapered Timoshenko beam. The clamped-clamped and clamped-pinned boundary conditions are explored and the results with
Marmar Mehrparvar +3 more
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Numerical Solution for Linear State Space Systems using Haar Wavelets Method
مجلة بغداد للعلوم, 2022 In this research, Haar wavelets method has been utilized to approximate a numerical solution for Linear state space systems. The solution technique is used Haar wavelet functions and Haar wavelet operational matrix with the operation to transform the ...
Waleeda swaidan ali, Haleema S. Ali
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Haar wavelet collocation method for linear first order stiff differential equations [PDF]
ITM Web of Conferences, 2020 In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more ...
Atay Mehmet Tarık +4 more
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Application of higher order Haar wavelet method for solving nonlinear evolution equations
Mathematical Modelling and Analysis, 2020 The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems.
Mart Ratas, Andrus Salupere
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