Relevant bibliographies by topics / Hessian operator

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Hessian operator'

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

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Journal articles on the topic "Hessian operator"

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Wang, Qi, Yunhe Sheng, Chengming Bai, and Jiefeng Liu. "Nijenhuis operators on pre-Lie algebras." Communications in Contemporary Mathematics 21, no. 07 (2019): 1850050. http://dx.doi.org/10.1142/s0219199718500505.

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First we use a new approach to define a graded Lie algebra whose Maurer–Cartan elements characterize pre-Lie algebra structures. Then using this graded Lie bracket, we define the notion of a Nijenhuis operator on a pre-Lie algebra which generates a trivial deformation of this pre-Lie algebra. There are close relationships between [Formula: see text]-operators, Rota–Baxter operators and Nijenhuis operators on a pre-Lie algebra. In particular, a Nijenhuis operator “connects” two [Formula: see text]-operators on a pre-Lie algebra whose any linear combination is still an [Formula: see text]-operat
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Chen, Ke, and Mauricio D. Sacchi. "Elastic least-squares reverse time migration via linearized elastic full-waveform inversion with pseudo-Hessian preconditioning." GEOPHYSICS 82, no. 5 (2017): S341—S358. http://dx.doi.org/10.1190/geo2016-0613.1.

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Time-domain elastic least-squares reverse time migration (LSRTM) is formulated as a linearized elastic full-waveform inversion problem. The elastic Born approximation and elastic reverse time migration (RTM) operators are derived from the time-domain continuous adjoint-state method. Our approach defines P- and S-wave impedance perturbations as unknown elastic images. Our algorithm is obtained using continuous functional analysis in which the problem is discretized at the final stage (optimize-before-discretize approach). The discretized numerical versions of the elastic Born operator and its a
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Tang, Yaxun. "Target-oriented wave-equation least-squares migration/inversion with phase-encoded Hessian." GEOPHYSICS 74, no. 6 (2009): WCA95—WCA107. http://dx.doi.org/10.1190/1.3204768.

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Prestack depth migration produces blurred images resulting from limited acquisition apertures, complexities in the velocity model, and band-limited characteristics of seismic waves. This distortion can be partially corrected using the model-space least-squares migration/inversion approach, where a target-oriented wave-equation Hessian operator is computed explicitly and then inverse filtering is applied iteratively to deblur or invert for the reflectivity. However, one difficulty is the cost of computing the explicit Hessian operator, which requires storing a large number of Green’s functions,
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Ye, Yunhua. "Logarithmic convexity of the eigenfunction of the Hessian operator in the ball." International Journal of Advanced Mathematical Sciences 3, no. 2 (2015): 98. http://dx.doi.org/10.14419/ijams.v3i2.4979.

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<p>This paper is concerned with the logarithmic convexity of the eigenfunction of the Hessian operator. It is proved that the logarithm of the eigenfunction of the Hessian operator is strictly convex in the ball.</p>
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Kazemi, Nasser. "Shot-record extended model domain preconditioners for least-squares migration." GEOPHYSICS 84, no. 4 (2019): S285—S299. http://dx.doi.org/10.1190/geo2018-0475.1.

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We have studied the preconditioned conjugate gradient (CG) algorithm in the context of shot-record extended model domain least-squares migration. The CG algorithm is a powerful iterative technique that can solve the least-squares migration problem efficiently; however, to see the merits of least-squares migration, one needs to apply the algorithm for several iterations. Generally speaking, the convergence rate of the CG algorithm depends on the condition number of the operator. Preconditioners are a family of operators that are easy to build and invert. Proper preconditioners can cluster the e
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Nguyen, Van Thien. "Hessian boundary measures." International Journal of Mathematics 30, no. 03 (2019): 1950016. http://dx.doi.org/10.1142/s0129167x19500162.

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We will study certain boundary measures related to [Formula: see text]-subharmonic functions on [Formula: see text]-hyperconvex domains. These measures generalize the boundary measures studied by Wan and Wang (see [Complex Hessian operator and Lelong number for unbounded [Formula: see text]-subharmonic functions, Potential. Anal. 44(1) (2016) 53–69]). For the case of plurisubharmonic functions ([Formula: see text]) the boundary measure has been studied by Cegrell and Kemppe (see [Monge–Ampère boundary measures, Ann. Polon. Math. 96 (2009) 175–196]).
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Ferrari, Fausto, and Antonio Vitolo. "Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators." Advanced Nonlinear Studies 20, no. 1 (2020): 213–41. http://dx.doi.org/10.1515/ans-2019-2069.

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AbstractWe consider the elliptic differential operator defined as the sum of the minimum and the maximum eigenvalue of the Hessian matrix, which can be viewed as a degenerate elliptic Isaacs operator, in dimension larger than two. Despite of nonlinearity, degeneracy, non-concavity and non-convexity, such an operator generally enjoys the qualitative properties of the Laplace operator, as for instance maximum and comparison principles, ABP and Harnack inequalities, Liouville theorems for subsolutions or supersolutions. Existence and uniqueness for the Dirichlet problem are also proved as well as
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Yan, Yingwei, Zhejiang Wang, Jing Li, Nan Huai, Yujia Zhang, and Fei Han. "A preconditioned technique for SH- and Love-wave full-waveform inversion in time domain and crosstalk analysis." Journal of Geophysics and Engineering 17, no. 1 (2019): 160–74. http://dx.doi.org/10.1093/jge/gxz101.

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Abstract For the problem of low horizontal resolution in the method of surface wave dispersion analysis, we apply the SH- and Love-wave full-waveforms to achieve 2D and 3D imaging of the subsurface. The gradient obtained by classical full-waveform inversion (FWI) is not scaled with increasing depth. The limited source frequency band, the non-uniform coverage between shot and geophone positions and double scattering are the main reasons for the phenomenon. The Hessian operator of the misfit function can clearly predict the inherent defocusing phenomenon and the artefacts generated by the double
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Wu, G., X. Yi, L. Wang, et al. "Improving the ensemble transform Kalman filter using a second-order Taylor approximation of the nonlinear observation operator." Nonlinear Processes in Geophysics 21, no. 5 (2014): 955–70. http://dx.doi.org/10.5194/npg-21-955-2014.

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Abstract. The ensemble transform Kalman filter (ETKF) assimilation scheme has recently seen rapid development and wide application. As a specific implementation of the ensemble Kalman filter (EnKF), the ETKF is computationally more efficient than the conventional EnKF. However, the current implementation of the ETKF still has some limitations when the observation operator is strongly nonlinear. One problem in the minimization of a nonlinear objective function similar to 4D-Var is that the nonlinear operator and its tangent-linear operator have to be calculated iteratively if the Hessian is not
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Yilmaz, M. Yildirim, and M. Bektas. "Shape operator for real space forms in Hessian manifolds of constant Hessian sectional curvature." International Journal of Contemporary Mathematical Sciences 2 (2007): 343–48. http://dx.doi.org/10.12988/ijcms.2007.07028.

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Dissertations / Theses on the topic "Hessian operator"

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Charabati, Mohamad. "Le problème de Dirichlet pour les équations de Monge-Ampère complexes." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30001/document.

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Cette thèse est consacrée à l'étude de la régularité des solutions des équations de Monge-Ampère complexes ainsi que des équations hessiennes complexes dans un domaine borné de Cn. Dans le premier chapitre, on donne des rappels sur la théorie du pluripotentiel. Dans le deuxième chapitre, on étudie le module de continuité des solutions du problème de Dirichlet pour les équations de Monge-Ampère lorsque le second membre est une mesure à densité continue par rapport à la mesure de Lebesgue dans un domaine strictement hyperconvexe lipschitzien. Dans le troisième chapitre, on prouve la continuité h
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Saade, Alaa. "Spectral inference methods on sparse graphs : theory and applications." Thesis, Paris Sciences et Lettres (ComUE), 2016. http://www.theses.fr/2016PSLEE024/document.

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Face au déluge actuel de données principalement non structurées, les graphes ont démontré, dans une variété de domaines scientifiques, leur importance croissante comme language abstrait pour décrire des interactions complexes entre des objets complexes. L’un des principaux défis posés par l’étude de ces réseaux est l’inférence de propriétés macroscopiques à grande échelle, affectant un grand nombre d’objets ou d’agents, sur la seule base des interactions microscopiquesqu’entretiennent leurs constituants élémentaires. La physique statistique, créée précisément dans le but d’obtenir les lois mac
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Bednařík, Jan. "Nalezení známého objektu v sérii digitálních snímků." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-218973.

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The aim of the thesis is detection of a known object in series of pictures. Detection is divided into two methods. First method is based on edge and color detection and comparison. Edge detection is based on detection using both Gradient and Laplacian, so on the first-order and the second-order derivative. Sobel operators were used as well as Laplacian of gaussian method. Thresholding is also used as well as autothreshold calculation. There are two variants of color detection considered in the thesis, direct color comparison and detection based on interest color search. The second part of the
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Book chapters on the topic "Hessian operator"

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Miguel García-Guzman, Jose, Néstor González-Cabrera, Luis Alberto Contreras-Aguilar, Jose Merced Lozano-García, and Alejandro Pizano-Martinez. "Analysis of Optimal Steady-State Operation of Power Systems with Embedded FACTS Devices: A Matlab-Based Flexible Approach." In Renewable Energy [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.93519.

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This book chapter presents a flexible approach to incorporate mathematical models of FACTS devices into the Power Flow (PF) and the Optimal Power Flow (OPF) analysis tools, as well as into the standard OPF Market-Clearing (OPF-MC) procedure. The proposed approach uses the Matlab Optimization Toolbox because it allows to easily: (a) implement a given optimization model, (b) include different objective functions using distinct equality and inequality constraints and (c) modify and reuse an optimization model that has been previously implemented. The conventional OPF model is the main core of the proposed approach, which is easily implemented and adapted to include the mathematical models of FACTS devices. The resulting implementation of the OPF model featuring FACTS devices can be easily modified and adjusted to obtain the implementation of both the PF and the OPF-MC models which includes such devices. It should be mentioned that with the flexible approach proposed here, the complexity as well as the implementation time of optimized models featuring embedded FACTS devices is significantly reduced, since it is not necessary to define the expressions associated with the hessian matrix and the gradient vector. The flexibility and reliability of the proposed approach are demonstrated by means of several study cases using test as well as real power systems.
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Conference papers on the topic "Hessian operator"

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Yunyun, Pan, Zhuo Yi, Chen Zhiwei, Qiu Zhen, and Mao Yaobin. "Finger vein recognition based on Hessian-Affine operator." In 2019 Chinese Control And Decision Conference (CCDC). IEEE, 2019. http://dx.doi.org/10.1109/ccdc.2019.8832770.

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Peipei*, Liu, Hu Jiangtao, and Wang Huazhong. "Seismic inversion imaging resolution analysis based on Hessian operator." In Beijing 2014 International Geophysical Conference & Exposition, Beijing, China, 21-24 April 2014. Society of Exploration Geophysicists and Chinese Petroleum Society, 2014. http://dx.doi.org/10.1190/igcbeijing2014-125.

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Métivier, L., R. Brossier, S. Operto, and J. Virieux. "Multi-Parameter FWI - An Illustration of the Hessian Operator Role for Mitigating Trade-off between Parameter Classes." In 6th Saint Petersburg International Conference and Exhibition. EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20140196.

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Li, Leibo, and Tao Zhan. "Co-Z Addition Operation of Hessian Curve." In 2011 Seventh International Conference on Computational Intelligence and Security (CIS). IEEE, 2011. http://dx.doi.org/10.1109/cis.2011.206.

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