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An Effective Approach for Reliability-Based Sensitivity Analysis with the Principle of Maximum Entropy and Fractional Moments [PDF]
Entropy, 2019 The reliability-based sensitivity analysis requires to recursively evaluate a multivariate structural model for many failure probability levels. This is in general a computationally intensive task due to irregular integrations used to define the ...
Xufang Zhang +3 more
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New fractional-order shifted Gegenbauer moments for image analysis and recognition
Journal of Advanced Research, 2020 Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny +2 more
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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
Tatiana Alieva, M J Bastiaans
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Determining the lifetime distribution using fractional moments with maximum entropy [PDF]
HeliyonHere we propose a model-free, non-parametric method to solve an ill-posed inverse problem arising in several fields. It consists of determining a probability density of the lifetime, or the probability of survival of an individual, from the knowledge of ...
Henryk Gzyl, Silvia Mayoral
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Music score copyright protection based on mixed low-order quaternion Franklin moments. [PDF]
PLoS ONEDue to the rapid growth of the digital music industry, music copyrights have become valuable intangible assets for businesses, offering exclusivity and profitability.
Qizheng Huang +3 more
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Optimized bio-signal reconstruction and watermarking via enhanced fractional orthogonal moments [PDF]
Scientific ReportsOrthogonal Tchebichef moments of fractional order (FrTMs) serve as descriptors for signals and images. Many fields, including signal analysis and watermarking, have relied heavily on such moments.
Gaber Hassan +2 more
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The noise reduction of medical radiography images using fractional moments [PDF]
مجله پزشکی دانشگاه علوم پزشکی تبریز, 2021 Background: This paper presents a method to improve medical radiography images based on the use of statistical signal moments. Methods: In this paper, the image with noise is considered as a statistical signal, and the noise reduction is performed by ...
Mahdieh Gholizadeh +3 more
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Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments
Sensors, 2021 Continuous orthogonal moments, for which continuous functions are used as kernel functions, are invariant to rotation and scaling, and they have been greatly developed over the recent years.
Chunpeng Wang +5 more
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Fractional moments of the stochastic heat equation [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2021 Consider the solution $\mathcal{Z}(t,x)$ of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(0,x) = δ(x)$. For any real $p>0$, we obtained detailed estimates of the $p$-th moment of $e^{t/12}\mathcal{Z}(2t,0)$, as $t\to\infty$, and from these estimates establish ...
Das, Sayan, Tsai, Li-Cheng
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Axioms, 2023 In the literature, the use of fractional moments to express the available information in the framework of maximum entropy (MaxEnt) approximation of a distribution F having finite or unbounded positive support, has been essentially considered as a ...
Pier Luigi Novi Inverardi, Aldo Tagliani
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