Relevant bibliographies by topics / Fractional moments

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  3. Books
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Academic literature on the topic 'Fractional moments'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Fractional moments"

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Novi Inverardi, Pierluigi, Giorgio Pontuale, Alberto Petri, and Aldo Tagliani. "Hausdorff moment problem via fractional moments." Applied Mathematics and Computation 144, no. 1 (2003): 61–74. http://dx.doi.org/10.1016/s0096-3003(02)00391-0.

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Gzyl, H., and A. Tagliani. "Hausdorff moment problem and fractional moments." Applied Mathematics and Computation 216, no. 11 (2010): 3319–28. http://dx.doi.org/10.1016/j.amc.2010.04.059.

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Gzyl, H., and A. Tagliani. "Stieltjes moment problem and fractional moments." Applied Mathematics and Computation 216, no. 11 (2010): 3307–18. http://dx.doi.org/10.1016/j.amc.2010.04.057.

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Novi Inverardi, Pierluigi, Alberto Petri, Giorgio Pontuale, and Aldo Tagliani. "Stieltjes moment problem via fractional moments." Applied Mathematics and Computation 166, no. 3 (2005): 664–77. http://dx.doi.org/10.1016/j.amc.2004.06.060.

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Johansen, Søren, and Morten Ørregaard Nielsen. "A NECESSARY MOMENT CONDITION FOR THE FRACTIONAL FUNCTIONAL CENTRAL LIMIT THEOREM." Econometric Theory 28, no. 3 (2011): 671–79. http://dx.doi.org/10.1017/s0266466611000697.

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We discuss the moment condition for the fractional functional central limit theorem (FCLT) for partial sums of xt = Δ−dut, where $d\, \in \,\left({ - {1 \over 2}\,,\,{1 \over 2}} \right)$ is the fractional integration parameter and ut is weakly dependent. The classical condition is existence of q ≥ 2 and $q\, > \,\left( {d\, + \,{1 \over 2}} \right)^{ - 1} $ moments of the innovation sequence. When d is close to $ - {1 \over 2}$ this moment condition is very strong. Our main result is to show that when $d\, \in \,\left({ - \,{1 \over 2},\,0} \right)$ and under some relatively weak conditions on ut, the existence of $q\, \ge \,\left({d\, + \,{1 \over 2}} \right)^{ - 1} $ moments is in fact necessary for the FCLT for fractionally integrated processes and that $q\, > \,\left( {d\, + \,{1 \over 2}} \right)^{ - 1} $ moments are necessary for more general fractional processes. Davidson and de Jong (2000, Econometric Theory 16, 643–666) presented a fractional FCLT where only q > 2 finite moments are assumed. As a corollary to our main theorem we show that their moment condition is not sufficient and hence that their result is incorrect.
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Ninh, Anh, and András Prékopa. "The discrete moment problem with fractional moments." Operations Research Letters 41, no. 6 (2013): 715–18. http://dx.doi.org/10.1016/j.orl.2013.09.001.

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Tagliani, A. "Hausdorff moment problem and fractional moments: A simplified procedure." Applied Mathematics and Computation 218, no. 8 (2011): 4423–32. http://dx.doi.org/10.1016/j.amc.2011.10.019.

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Dutt, Vinayak, and James F. Greenleaf. "Speckle Analysis Using Signal to Noise Ratios Based on Fractional Order Moments." Ultrasonic Imaging 17, no. 4 (1995): 251–68. http://dx.doi.org/10.1177/016173469501700401.

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The SNR (signal-to-noise ratio) of the echo envelope image is a monotonically-increasing function of scatterer number density. Various SNRs, like amplitude SNR and intensity SNR, can be used to quantify the scatterer density. The problem of using a SNR based on higher order moments like the intensity SNR is that they require large sample sizes to obtain estimates with high confidence (the variance of the estimate becomes large for higher moments). In this paper, we consider SNRs based on fractional order moments (moments of order less than 1), and obtain mathematical analyses of their properties using the K distribution, which has been shown to be a good model for the density function of backscatter echo envelope signal. Statistics of SNRs based on fractional moment are derived and appear to be more robust and useful than the amplitude and intensity SNRs previously studied. The SNRs based on fractional order moments have greater dynamic range and the sample size requirements are smaller than those for integral order moment SNRs, like amplitude SNR or intensity SNR. Thus, SNRs based on fractional order moments could be used to better quantify the variations in scatterer density which can be used for tissue classification problems.
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Gholizadeh, Mahdieh, Mohammad Hossein Gholizadeh, Hossein Ghayoumi Zadeh, and Mostafa Danaeian. "The noise reduction of medical radiography images using fractional moments." Medical Journal of Tabriz University of Medical Sciences and Health Services 42, no. 6 (2021): 649–58. http://dx.doi.org/10.34172/mj.2021.005.

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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 using fractional moments. The fractional moment’s method, on the one hand, has a speed similar to the moment method, and, on the other hand, has not the limitations of the moment method, which sometimes achieves inaccurate results. The proposed method is ultimately examined on radiographic images (CT). Results: The information obtained from the fractional moments of the received signal is a criterion to estimate the noise parameters and the gray scales of the main image. One of the limitations of the proposed method is that the image should be sent several times, because in statistical discussions, we cannot make a decision with only one sample. The error of the proposed noise reduction method in terms of the number of times the original image was sent, is about 0.009, 0.0009, 0.0002, and 0.0001, for n = 3, n = 6, n = 9 and n = 14, respectively. Conclusion: The simulation results show that the proposed method is more effective than the most conventional noise reduction methods, both in the low signal to noise ratio and in terms of image quality, and is more powerful than the most notable noise removal methods in restoring the subtleties and image details.
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Farouk, R. M. "Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments." Journal of Imaging 6, no. 6 (2020): 54. http://dx.doi.org/10.3390/jimaging6060054.

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In this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and Generalized Fractional order orthogonal Laguerre Moments (GFLMs). The fractional and generalized recurrence relations of fractional order Chebyshev functions are defined. The fractional and generalized fractional order Laguerre recurrence formulas are given. The new presented generalized fractional order moments are tested with the existing orthogonal moments classical Chebyshev moments, Laguerre moments, and Fractional order Chebyshev Moments (FCMs). The numerical results show that the importance of our general framework which gives a very comprehensive study on intensity image representation based GFCMs, FLMs, and GFLMs. In addition, the fractional parameters give a flexibility of studying global features of images at different positions and scales of the given moments.
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Dissertations / Theses on the topic "Fractional moments"

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Wollny, Alexander. "Fractional Moments and Singular Field Response." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-219916.

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In this PhD thesis, the physics of vacancies in two-dimensional ordered Heisenberg antiferromagnets is investigated. We use semi-classical methods to study the influence of a single vacancy in long-range ordered states, with a focus on non-collinear order. Here, on a classical level, a magnetic distortion is created as the spins readjust in response to the vacancy. We use the non-collinear $120^\\circ$ state on the frustrated triangular lattice as an example, where we determine the impurity contributions to the magnetization and susceptibility. An important discovery is the vacancy moment not being quantized due to non-universal partial screening. The resulting effective moment $m_0 \\ll S$ can be observed as a fractional prefactor to an impurity-induced Curie response $m_0^2/(3k_BT)$ at finite temperature. This is in sharp contrast to collinearly ordered states. Here the moment is always quantized to the bulk spin value, $m_0=S$. Furthermore, we present a detailed analysis of the vacancy-induced distortion cloud. Due to Goldstone modes, it decays algebraically as $r^{-3}$ with distance $r$ to the vacancy. Using leading-order $1/S$-expansion, we determine the quantum corrections to both size and direction of the distorted magnetic moments. Secondly, we study the same problem in the presence of an external magnetic field $h$, both for the square and triangular lattice. For the triangular lattice we use a biquadratic exchange term $K$ to stabilize a unique ground state from a degenerate manifold. The finite-field vacancy moment $m(h)$ is generated by field-dependent screening clouds, as different non-collinear bulk states evolve with increasing field. These distortion clouds decay exponentially on a magnetic length scale $l_h\\propto 1/h$. Most importantly, we find that the magnetic-field linear-response limit $h \\rightarrow 0^+$ is generically singular for $SU(2)$ ordered local-moment antiferromagnets, as the vacancy moment in zero field differs fundamentally from even an infinitesimal but finite field, $m(h \\rightarrow 0^+)\\neq m_0$. Moreover, a part of the screening cloud itself becomes universally singular. Particularly for spin-flop states, this leads to a semi-classical version of perfect screening. We present general arguments to support these claims, as well as microscopic calculations. Another remarkable result is an impurity-induced quantum phase transition for overcompensated vacancies in the $M=1/3$ plateau phase on the triangular lattice with $K<0$. We close our analysis with a discussion about important limits for finite vacancy concentrations, as well as a possible experimental verification of our predictions.
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Wollny, Alexander [Verfasser], Matthias [Akademischer Betreuer] Vojta, and Sebastian [Gutachter] Eggert. "Fractional Moments and Singular Field Response : Vacancies in Two-Dimensional Ordered Antiferromagnets / Alexander Wollny ; Gutachter: Sebastian Eggert ; Betreuer: Matthias Vojta." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://d-nb.info/1128036673/34.

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Poisat, Julien. "Modèle d’accrochage de polymères en environnement aléatoire faiblement corrélé." Thesis, Lyon 1, 2012. http://www.theses.fr/2012LYO10056/document.

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Cette thèse est consacrée à l’étude du modèle d’accrochage en environnementfaiblement corrélé. Le modèle d’accrochage s’applique à de multiples situationstelles que la localisation d’un polymère au voisinage d’une interface unidimensionnelle,la transition de mouillage ou encore la dénaturation de l’ADN, le pointcommun étant la présence d’une transition entre une phase localisée et une phasedélocalisée.Nous commençons par donner un aperçu des résultats disponibles sur lescourbes et exposants critiques pour le modèle homogène puis pour le modèledésordonné lorsque le désordre est une suite de variables aléatoires indépendanteset identiquement distribuées (i.i.d.). Dans ce dernier cas, nous donnons égalementune borne sur la courbe critique quenched à haute température, dans un régimeoù le désordre est dit pertinent.Nous étudions ensuite le modèle d’accrochage désordonné dans le cas où ledésordre est gaussien et les corrélations ont une portée finie, à l’aide de la théoriedes processus de renouvellement markoviens. Nous donnons dans ce cas une expressionde la courbe annealed à l’aide de la plus grande valeur propre d’une matricede transfert ainsi que l’exposant critique annealed. Nous généralisons ensuite lescritères de pertinence et de non pertinence du désordre prouvés dans le cas i.i.d.Nous nous intéressons ensuite à des désordres dont les corrélations ont uneportée de corrélation infinie. Dans un premier temps, nous généralisons la démarcheutilisée dans le cas d’une portée de corrélations finie et obtenons le comportementcritique annealed dans le cas d’un désordre gaussien sous des hypothèses dedécroissance forte des corrélations. Nous utilisons pour cela les propriétés spectralesdes opérateurs de transfert pour des décalages sur des suites d’entiers etdes potentiels à variations sommables. Dans un deuxième temps, nous donnonsquelques résultats dans le cas où le désordre est donné par une chaîne de Markov<br>In this dissertation we study the pinning model with weakly correlated disorder.The pinning model applies to various situations such as localization of a polymernear a one-dimensional interface, wetting transition and DNA denaturation, whichall display a transition between a localized phase and a delocalized phase.We start by giving a survey of the available results concerning critical pointsand exponents, first for the homogeneous setup and then for the inhomogeneousone, in the case when disorder is given by a sequence of independent and identicallydistributed (i.i.d.) random variables. In the latter case, we also provide a hightemperaturebound on the quenched critical curve in a case of relevant disorder.We then study the random pinning model when disorder is gaussian and hascorrelations with finite range, using the theory of Markov renewal processes. Weexpress the annealed critical curve in terms of the largest eigenvalue of a transfermatrix and we give the annealed critical exponent. We then generalize the criteriafor disorder relevance/irrelevance that were proved for the i.i.d. case.Next we are interested in disorder sequences with infinite range correlations.At first we generalize the method used to deal with finite range correlations andobtain the annealed critical behaviour in the case of gaussian disorder assumingfast decay of correlations. We use to this end the spectral properties of transferoperators for shifts on integer sequences and potentials with summable variations.Secondly we provide some results when disorder is a Markov chain
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Srzic, Veljko. "Significance of transport dynamics on concentration statistics and expected mass fraction based risk assessment in the subsurface." Doctoral thesis, KTH, Mark- och vattenteknik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-133455.

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This thesis relies on a Langrangian framework used for conservative tracer transport simulations through 2-D heterogeneous porous media. Conducted numerical simulations enable large sets of concentration values in both spatial and temporal domains. In addition to the advection, which acts on all scales, an additional mechanism considered is local scale dispersion (LSD), accounting for both mechanical dispersion and molecular diffusion. The ratio between these two mechanisms is quantified by the Peclet (Pe) number. In its base, the thesis gives answers to contaminant concentration features when influenced by: i) different log-conductivity variance; ii) log-conductivity structures defined by the same global variogram but with different log conductivity patterns cor-related; and iii) for a wide range of Peclet values. Results conducted by Monte Carlo (MC) analysis show a complex interplay between the aforementioned pa-rameters, indicating the influence of aquifer properties to temporal LSD evolu-tion. A stochastic characterization of the concentration scalar is done through moment analysis: mean, coefficient of variation (CVC), skewness and kurtosis as well as through the concentration probability density function (PDF). A re-markable collapse of higher order to second-order concentration moments leads to the conclusion that only two concentration moments are required for an accurate description of concentration fluctuations. This explicitly holds for the pure advection case, while in the case of LSD presence the Moment Deriv-ing Function (MDF) is involved to ensure the moment collapse validity. Fur-thermore, the expected mass fraction (EMF) concept is applied in groundwater transport. In its origin, EMF is function of the concentration but with lower number of realizations needed for its determination, compared to the one point PDF. From practical point of view, EMF excludes meandering effect and incorporates information about exposure time for each non-zero concentration value present. Also, it is shown that EMF is able to clearly reflect the effects of aquifer heterogeneity and structure as well as the Pe value. To demonstrate the uniqueness of the moment collapse feature and ability of the Beta distribution to account for the concentration frequencies even in real cases, Macrodisper-sion Experiment (MADE1) data sets are used.<br><p>QC 20131104</p>
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Gotte, Jorge Bernhard. "Integral and fractional orbital angular momentum of light." Thesis, University of Strathclyde, 2006. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26372.

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Orbital angular momentum of light is a new field of research which is concerned with the mechanical and optical effects of light with a helical phase structure. In this thesis we ask fundamental questions on the properties of light carrying orbital angular momentum. We discuss the uncertainty relation for angle and angular momentum on the example of orbital angular momentum of light. The lower bound in the angular uncertainty relation is state dependent, which requires a distinction between states satisfying the equality in the uncertainty relation and states giving a minimum in the uncertainty product. We examine these special states and their uncertainty product. We show that for both kinds of states, the uncertainty product can be surprisingly large. We propose an experimentally testable criterion for an EPR paradox for orbital angular momentum and azimuthal angle. The criterion is designed for an experimental demonstration using orbital angular momentum of light. For the interpretation of future experimental results from the proposed setup, we include a model for the indeterminacies inherent to the angular position measurement. We show how angular apertures can be used to determine the angle, and we discuss the effects of this measurement on the proposed criterion. We show that for a class of aperture functions a demonstration of an angular EPR paradox, according to our criterion, is to be expected. The quantum theory of rotation angles is generalised to non-integer values of the orbital angular momentum. This requires the introduction of an additional parameter, the orientation of a phase discontinuity associated with fractional values of the orbital angular momentum. We apply our formalism to the propagation of light modes with fractional orbital angular momentum in the paraxial and non-paraxial regime.
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Mokni, Hichem. "Prolongement d'applications linéaires, espaces des fractions et problème des moments." Thesis, Lille 1, 2008. http://www.theses.fr/2008LIL10101/document.

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Nous nous intéressons dans ce travail au prolongement d'applications linéaires, que ce soit des fonctions à valeurs scalaires ou des applications à valeurs opérateurs, sur des limites inductives d'espaces vectoriels topologiques en général et en particulier sur des algèbres d'opérateurs. Dans un premier lieu, nous regardons le problème dans le cadre le plus général c'est à dire celui de prolonger des formes linéaires sur une limite inductive d'espaces localement convexes. Nous donnons une condition nécessaire sur ces formes pour que le prolongement soit possible. Nous nous intéressons aussi au prolongement préservant la norme et nous donnons un exemple ou un tel prolongement n'est pas possible. Ensuite nous donnons une application de notre résultat principal dans le cadre des germes des fonctions holomorphes sur un compact de Cn. Puis nous généralisons les résultats obtenus dans le contexte des applications linéaires sur des C*-algèbres à valeurs opérateurs ce qui nous permet de généraliser l'application. En second lieu, nous considérons les mêmes questions dans le cas particulier de limites inductives: les espaces de fractions. Nous généralisons le résultat de F-H. Vasilescu dans le cas non commutatif ainsi que le problème des moments multidimensionnels sur un ensemble fermé non borné du corps des quaternion. En dernier lieu, nous nous intéressons aux applications complètement positives et complètement contractives à valeurs opérateurs sur des espaces de fractions. On considère le contexte non commutatif du papier de E. Albrecht et F -H. Vasilescu. Nous donnons un résultat pour chaque type de ses application linéaires. En applications aux résultats obtenues, on généralise notre problème des moments dans le cas opératoriel en introduisant une nouvelle mesure. Enfin, nous donnons une caractérisation des applications moments<br>Ln this work we are interested by extending Iinear forms and Iinear maps in general on inductive Iimit spaces of locally convex spaces or of sorne operator algebras. Firstly, we consider the more general case i.e. extending linear forms on limit spaces of locally convex spaces. We give a necessary condition on the linear forms making the extension possible. We are also in interest of a norm preserving extension. We show by an example that a such extension is no always possible then we state our result in a general case. Moreover we give an application of our main result in a context of germes of holomorphic fonctions on a compact set of Cn. After that, we generalize this results and the application, by the same way, when the Iinear application are with operator values. Secondly, we consider the same questions in a particular case of inductive limits : The spaces of fractions. We generalize the result of F-H. Vasilescu in a non commutatif context and then we generalize the multi-dimensionnels moment problem on a closed unbounded set of quaternion set. Finally, we focus on the completely positive or completely contractive linear maps on spaces of fractions with operator values. We consider the non commutative context of the work of E. Albrecht and F-H. Vasilescu. As an application, we generalize the given moment problem on the operator case and we give a new measure. Then we give a characterization of the moment maps
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Park, YeJe. "Guiding-center hall viscosity and intrinsic dipole moment of fractional quantum Hall states." Thesis, Princeton University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3665335.

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<p> The fractional quantum Hall effect (FQHE) is the archetype of the strongly correlated systems and the topologically ordered phases. Unlike the integer quantum Hall effect (IQHE) which can be explained by single-particle physics, FQHE exhibits many emergent properties that are due to the strong correlation among many electrons. In this Thesis, among those emergent properties of FQHE, we focus on the guiding-center metric, the guiding-center Hall viscosity, the guiding-center spin, the intrinsic electric dipole moment and the orbital entanglement spectrum. </p><p> Specifically, we show that the discontinuity of guiding-center Hall viscosity (a bulk property) at edges of incompressible quantum Hall fluids is associated with the presence of an intrinsic electric dipole moment on the edge. If there is a gradient of drift velocity due to a non-uniform electric field, the discontinuity in the induced stress is exactly balanced by the electric force on the dipole. </p><p> We show that the total Hall viscosity has two distinct contributions: a "trivial'' contribution associated with the geometry of the Landau orbits, and a non-trivial contribution associated with guiding-center correlations. </p><p> We describe a relation between the intrinsic dipole moment and "momentum polarization'', which relates the guiding-center Hall viscosity to the "orbital entanglement spectrum(OES)''. </p><p> We observe that using the computationally-more-onerous "real-space entanglement spectrum (RES)'' in the momentum polarization calculation just adds the trivial Landau-orbit contribution to the guiding-center part. This shows that all the non-trivial information is completely contained in the OES, which also exposes a fundamental topological quantity &gamma; = c&tilde; &minus; &nu;, the difference between the "chiral stress-energy anomaly'' (or signed conformal anomaly) and the chiral charge anomaly. This quantity characterizes correlated fractional quantum Hall fluids, and vanishes in integer quantum Hall fluids which are uncorrelated.</p>
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Fong, Che Ping. "Jet fragmentation at small momentum fractions in quantum chromodynamics." Thesis, University of Cambridge, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239209.

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Scipioni, Angel. "Contribution à la théorie des ondelettes : application à la turbulence des plasmas de bord de Tokamak et à la mesure dimensionnelle de cibles." Thesis, Nancy 1, 2010. http://www.theses.fr/2010NAN10125.

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La nécessaire représentation en échelle du monde nous amène à expliquer pourquoi la théorie des ondelettes en constitue le formalisme le mieux adapté. Ses performances sont comparées à d'autres outils : la méthode des étendues normalisées (R/S) et la méthode par décomposition empirique modale (EMD).La grande diversité des bases analysantes de la théorie des ondelettes nous conduit à proposer une approche à caractère morphologique de l'analyse. L'exposé est organisé en trois parties.Le premier chapitre est dédié aux éléments constitutifs de la théorie des ondelettes. Un lien surprenant est établi entre la notion de récurrence et l'analyse en échelle (polynômes de Daubechies) via le triangle de Pascal. Une expression analytique générale des coefficients des filtres de Daubechies à partir des racines des polynômes est ensuite proposée.Le deuxième chapitre constitue le premier domaine d'application. Il concerne les plasmas de bord des réacteurs de fusion de type tokamak. Nous exposons comment, pour la première fois sur des signaux expérimentaux, le coefficient de Hurst a pu être mesuré à partir d'un estimateur des moindres carrés à ondelettes. Nous détaillons ensuite, à partir de processus de type mouvement brownien fractionnaire (fBm), la manière dont nous avons établi un modèle (de synthèse) original reproduisant parfaitement la statistique mixte fBm et fGn qui caractérise un plasma de bord. Enfin, nous explicitons les raisons nous ayant amené à constater l'absence de lien existant entre des valeurs élevées du coefficient d'Hurst et de supposées longues corrélations.Le troisième chapitre est relatif au second domaine d'application. Il a été l'occasion de mettre en évidence comment le bien-fondé d'une approche morphologique couplée à une analyse en échelle nous ont permis d'extraire l'information relative à la taille, dans un écho rétrodiffusé d'une cible immergée et insonifiée par une onde ultrasonore<br>The necessary scale-based representation of the world leads us to explain why the wavelet theory is the best suited formalism. Its performances are compared to other tools: R/S analysis and empirical modal decomposition method (EMD). The great diversity of analyzing bases of wavelet theory leads us to propose a morphological approach of the analysis. The study is organized into three parts. The first chapter is dedicated to the constituent elements of wavelet theory. Then we will show the surprising link existing between recurrence concept and scale analysis (Daubechies polynomials) by using Pascal's triangle. A general analytical expression of Daubechies' filter coefficients is then proposed from the polynomial roots. The second chapter is the first application domain. It involves edge plasmas of tokamak fusion reactors. We will describe how, for the first time on experimental signals, the Hurst coefficient has been measured by a wavelet-based estimator. We will detail from fbm-like processes (fractional Brownian motion), how we have established an original model perfectly reproducing fBm and fGn joint statistics that characterizes magnetized plasmas. Finally, we will point out the reasons that show the lack of link between high values of the Hurst coefficient and possible long correlations. The third chapter is dedicated to the second application domain which is relative to the backscattered echo analysis of an immersed target insonified by an ultrasonic plane wave. We will explain how a morphological approach associated to a scale analysis can extract the diameter information
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Farah, Mohamed. "Estimation paramétrique de systèmes gouvernés par des équations aux dérivées partielles." Thesis, Poitiers, 2016. http://www.theses.fr/2016POIT2311.

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Dans ce manuscrit, une attention particulière est accordée à l’identification des systèmes dynamiques dont le comportement est régi par des équations aux dérivées partielles (EDP). Afin d’atteindre cet objectif, deux algorithmes d’identification sont proposés. Le premier est un algorithme à erreur d’équation basé sur les moments partiels réinitialisés qui permettent de faire disparaitre les termes de dérivées partielles. Les paramètres du modèle obtenu peuvent alors être estimés par des approches de type moindres carrés. Cette méthode nécessite le choix d’un paramètre de synthèse ainsi qu’un nombre important de capteurs répartis sur toute la géométrie du système étudié. Une étude du choix optimal du paramètre de synthèse ainsi que de l’influence du nombre et de la répartition des capteurs est menée sur un exemple numérique. Le second algorithme est propre aux EDP pouvant être décrites par un modèle de Roesser. Dans ce cas, une formulation linéaire fractionnaire est proposée et un algorithme à erreur de sortie est mis en œuvre pour estimer les paramètres du modèle. L’initialisation de cet algorithme est réalisée grâce aux résultats fournis par le premier algorithme. Finalement, l’efficacité des deux approches proposées est montrée au travers un exemple numérique d’échangeur de chaleur à co-courant<br>In this manuscript, a special attention is paid to the identification of dynamic systems whose behavior is governed by partial differential equations (PDE). To achieve this, two identification algorithms are proposed. The first is an equation-error algorithm based on reinitialized partial moments whose function is to make the terms of partial derivatives disappear. The parameters of the resulting model can then be estimated by a least squares type approach. This method requires the selection of a synthesis parameter and a large number of sensors distributed over the entire geometry of the studied system. A study of the optimal choice of the synthesis parameters as well as of the influence of the number and distribution of the sensors is conducted on a numerical example. The second algorithm is associated to the PDE that can be presented by a Roesser model. Throughout this model, a fractional linear formulation is proposed and an output-error algorithm is exploited to estimate the model parameters. The initialization of this algorithm is achieved thanks to the results provided by the first algorithm. Finally, the efficiency of the two proposed approaches is shown through a numerical example of a co-current heat exchanger
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Books on the topic "Fractional moments"

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Efremov, German. Modeling of chemical and technological processes. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1090526.

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In an accessible form, the textbook presents the theoretical foundations of physical and mathematical modeling; considers the modeling of mass, heat and momentum transfer processes, the relationship and analogy between them; studies the theory of similarity, its application in modeling, models of the structure of flows in apparatuses. Experimental-statistical and experimental-analytical modeling methods are also described, which include "black box" methods, planning passive, active full and fractional factor experiments, and adjusting models based on the results of the experiment. At the same time, modeling of chemical reactors, methods of optimization of chemical-technological processes, their selection, comparison and application examples are considered. Examples of modeling and optimization of processes in chemical, petrochemical and biotechnology on a computer in Excel and MathCAD environments are given. The appendices provide the basics of working in the MathCAD environment and elements of matrix algebra. Meets the requirements of the Federal state educational standards of higher education of the latest generation. It is intended for bachelors who are trained for the chemical, petrochemical, food, textile and light industries. It can be useful for specialists and undergraduates, as well as for scientists, engineers and postgraduates dealing with the problem under consideration.
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Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. American Mathematical Society, 2016.

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Shohat, J. A. Problem of Moments Rev Edition. American Mathematical Society, 1992.

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1931-, Jones William B., and Ranga A. Sri 1956-, eds. Orthogonal functions, moment theory, and continued fractions: Theory and applications. Marcel Dekker, 1998.

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(Editor), William Jones, and A. Sri Ranga (Editor), eds. Orthogonal Functions, Moment Theory, and Continued Fractions (Lecture Notes in Pure and Applied Mathematics) (Lecture Notes in Pure and Applied Mathematics). CRC, 1998.

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1940-, Jones William R., Prahl Joseph M, and United States. National Aeronautics and Space Administration., eds. Design of a unidirectional composite momentum wheel rim. National Aeronautics and Space Administration, 1995.

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Book chapters on the topic "Fractional moments"

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Zhang, Huaqing, Zongmin Li, and Yujie Liu. "Fractional Orthogonal Fourier-Mellin Moments for Pattern Recognition." In Communications in Computer and Information Science. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-3002-4_62.

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Di Paola, Mario. "Complex Fractional Moments and Their Use in Earthquake Engineering." In Encyclopedia of Earthquake Engineering. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36197-5_327-1.

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Di Paola, Mario. "Complex Fractional Moments and Their Use in Earthquake Engineering." In Encyclopedia of Earthquake Engineering. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-35344-4_327.

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Nigmatullin, Raoul R., Paolo Lino, and Guido Maione. "The Statistics of Fractional Moments and its Application for Quantitative Reading of Real Data." In New Digital Signal Processing Methods. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45359-6_3.

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Luo, Jinjun, Shilian Wang, and Eryang Zhang. "Parameter Optimization for the Detector Based on Fractional Lower Order Moments in Alpha-Stable Distributed Noise." In Lecture Notes in Electrical Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-6571-2_161.

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Di Paola, Mario, Antonina Pirrotta, Gioacchino Alotta, Alberto Di Matteo, and Francesco Paolo Pinnola. "Complex Fractional Moments for the Characterization of the Probabilistic Response of Non-linear Systems Subjected to White Noises." In Springer Proceedings in Physics. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9463-8_11.

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Vedel, Béatrice, Herwig Wendt, Patrice Abry, and Stéphane Jaffard. "On the impact of the number of vanishing moments on the dependence structures of compound Poisson motion and fractional Brownian motion in multifractal time." In Lecture Notes in Statistics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14104-1_5.

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Giacomin, Giambattista. "Critical Point Shift: The Fractional Moment Method." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21156-0_6.

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Ranga, A. Sri. "Ĵ-fractions and strong moment problems." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075942.

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Common, A. K., and J. H. Mccabe. "Continued Fractions for the Symmetric Strong Stieltjes Moment Problem." In Nonlinear Numerical Methods and Rational Approximation II. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0970-3_29.

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Conference papers on the topic "Fractional moments"

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Bastiaans, Martin J., and Tatiana Alieva. "Wigner distribution moments measured as fractional Fourier transform intensity moments." In 19th Congress of the International Commission for Optics: Optics for the Quality of Life, edited by Giancarlo C. Righini and Anna Consortini. SPIE, 2003. http://dx.doi.org/10.1117/12.523974.

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Alotta, Gioacchino, and Mario Di Paola. "Einstein-Smoluchowsky equation handled by complex fractional moments." In 2014 International Conference on Fractional Differentiation and its Applications (ICFDA). IEEE, 2014. http://dx.doi.org/10.1109/icfda.2014.6967405.

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Nigmatullin, Raoul R., Cristiano Ceglie, Guido Maione, and Domenico Striccoli. "Statistics of fractional moments applied to 3D video streams." In 2014 International Conference on Fractional Differentiation and its Applications (ICFDA). IEEE, 2014. http://dx.doi.org/10.1109/icfda.2014.6967368.

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Bulek, Savaskan, and Nurgun Erdol. "Blind speech separation using fractional order moments." In 2009 IEEE/SP 15th Workshop on Statistical Signal Processing (SSP). IEEE, 2009. http://dx.doi.org/10.1109/ssp.2009.5278528.

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Mehanaoui, Ali, Toufik Laroussi, and Amar Mezache. "New Pareto clutter parameters estimators based on log-moments and fractional negative-moments." In 2017 Seminar on Detection Systems Architectures and Technologies (DAT). IEEE, 2017. http://dx.doi.org/10.1109/dat.2017.7889175.

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Liu, Kai, Pawel D. Domanski, and YangQuan Chen. "Control Performance Assessment with Fractional Lower Order Moments." In 2020 7th International Conference on Control, Decision and Information Technologies (CoDIT). IEEE, 2020. http://dx.doi.org/10.1109/codit49905.2020.9263892.

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Saha, R., R. Ghosh, Deb Sankar Bhattacharya, and A. Bhattacharya. "Fractal properties and fractional multipole moments of hadrons." In 10th Jubilee International Conference of the Balkan Physical Union. Author(s), 2019. http://dx.doi.org/10.1063/1.5090253.

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Innocenti, Claudia, Anna Consortini, and Florence Rigal. "Fractional moments of low order for scintillation statistics." In Remote Sensing, edited by Anton Kohnle and John D. Gonglewski. SPIE, 1999. http://dx.doi.org/10.1117/12.371317.

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Shergin, Vadim. "Estimating the Hurst Exponent of Fractional Levy Motion by the Fractional Moments Method." In 2019 IEEE International Scientific-Practical Conference Problems of Infocommunications, Science and Technology (PIC S&T). IEEE, 2019. http://dx.doi.org/10.1109/picst47496.2019.9061298.

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Liu, Benyong, and Jing Zhang. "Image Computing: Fractional Spectra and Circular Moments via FrFT." In 2009 Fifth International Conference on Natural Computation. IEEE, 2009. http://dx.doi.org/10.1109/icnc.2009.240.

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Reports on the topic "Fractional moments"

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Boca, Gianluigi. Experimental Determination of the Average Fraction of Jet Momentum Carried by the Leading Hadrons Produced at Large Transverse Momenta. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/1427790.

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Aubert, B. Determination of the Branching Fraction for B rightarrow X{sub c} ell nu Decays and of |V{sub cb}| from Hadronic-Mass and Lepton-Energy Moments. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/826861.

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Over, Thomas, Riki Saito, Andrea Veilleux, et al. Estimation of Peak Discharge Quantiles for Selected Annual Exceedance Probabilities in Northeastern Illinois. Illinois Center for Transportation, 2016. http://dx.doi.org/10.36501/0197-9191/16-014.

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This report provides two sets of equations for estimating peak discharge quantiles at annual exceedance probabilities (AEPs) of 0.50, 0.20, 0.10, 0.04, 0.02, 0.01, 0.005, and 0.002 (recurrence intervals of 2, 5, 10, 25, 50, 100, 200, and 500 years, respectively) for watersheds in Illinois based on annual maximum peak discharge data from 117 watersheds in and near northeastern Illinois. One set of equations was developed through a temporal analysis with a two-step least squares-quantile regression technique that measures the average effect of changes in the urbanization of the watersheds used in the study. The resulting equations can be used to adjust rural peak discharge quantiles for the effect of urbanization, and in this study the equations also were used to adjust the annual maximum peak discharges from the study watersheds to 2010 urbanization conditions. The other set of equations was developed by a spatial analysis. This analysis used generalized least-squares regression to fit the peak discharge quantiles computed from the urbanization-adjusted annual maximum peak discharges from the study watersheds to drainage-basin characteristics. The peak discharge quantiles were computed by using the Expected Moments Algorithm following the removal of potentially influential low floods defined by a multiple Grubbs-Beck test. To improve the quantile estimates, regional skew coefficients were obtained from a newly developed regional skew model in which the skew increases with the urbanized land use fraction. The skew coefficient values for each streamgage were then computed as the variance-weighted average of at-site and regional skew coefficients. The drainage-basin characteristics used as explanatory variables in the spatial analysis include drainage area, the fraction of developed land, the fraction of land with poorly drained soils or likely water, and the basin slope estimated as the ratio of the basin relief to basin perimeter. This report also provides: (1) examples to illustrate the use of the spatial and urbanization-adjustment equations for estimating peak discharge quantiles at ungaged sites and to improve flood-quantile estimates at and near a gaged site; (2) the urbanization-adjusted annual maximum peak discharges and peak discharge quantile estimates at streamgages from 181 watersheds including the 117 study watersheds and 64 additional watersheds in the study region that were originally considered for use in the study but later deemed to be redundant. The urbanization-adjustment equations, spatial regression equations, and peak discharge quantile estimates developed in this study will be made available in the web-based application StreamStats, which provides automated regression-equation solutions for user-selected stream locations. Figures and tables comparing the observed and urbanization-adjusted peak discharge records by streamgage are provided at http://dx.doi.org/10.3133/sir20165050 for download.
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