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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Fractional impurity moments in two-dimensional non-collinear magnets [PDF]
Physical Review Letters, 2011 We study dilute magnetic impurities and vacancies in two-dimensional frustrated magnets with non-collinear order. Taking the triangular-lattice Heisenberg model as an example, we use quasiclassical methods to determine the impurity contributions to the ...
Fritz, Lars +2 more
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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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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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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 $\mathcal{Z}(0,x) = (x)$. 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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Fractional‐order generalized Laguerre moments and moment invariants for grey‐scale image analysis
IET Image Processing, 2021 Here, a new set of fractional‐order moments, named fractional‐order generalized Laguerre moments (FGLM), is introduced. These proposed moments are defined on the Cartesian coordinate system and their basis functions are represented by the fractional ...
Rachid Benouini +3 more
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