Relevant bibliographies by topics / Hessian metric

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

Academic literature on the topic 'Hessian metric'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Hessian metric"

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García Ariza, M. Á. "Degenerate Hessian structures on radiant manifolds." International Journal of Geometric Methods in Modern Physics 15, no. 06 (2018): 1850087. http://dx.doi.org/10.1142/s0219887818500871.

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We present a rigorous mathematical treatment of Ruppeiner geometry, by considering degenerate Hessian metrics defined on radiant manifolds. A manifold [Formula: see text] is said to be radiant if it is endowed with a symmetric, flat connection and a global vector field [Formula: see text] whose covariant derivative is the identity mapping. A degenerate Hessian metric on [Formula: see text] is a degenerate metric tensor that can locally be written as the covariant Hessian of a function, called potential. A function on [Formula: see text] is said to be extensive if its Lie derivative with respec
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MOHAMMAD, SAMEER, PRADEEP KUMAR PANDEY, and SUMAN THAKUR. "A NOTE ON THE SILVER HESSIAN STRUCTURE." Journal of Science and Arts 24, no. 2 (2024): 375–88. http://dx.doi.org/10.46939/j.sci.arts-24.2-a12.

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In this paper, we study locally decomposable Silver-Hessian manifolds and holomorphic Silver Norden Hessian manifolds. We investigate that if the smooth function f:M→R is decomposable, then the triplet (M,Θ,∇^2 f ) is a locally decomposable Silver Hessian manifold, where Θ is a Silver structure and ∇ represents the Levi-Civita Connection of g. We obtain some conditions under which the manifold Mis associated with Hessian metric h and complex Silver structure. Moreover, we investigate the twin Norden Silver Hessian metric for a Kaehler-Norden Silver Hessian manifold.
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BERCU, GABRIEL, CLAUDIU CORCODEL, and MIHAI POSTOLACHE. "ITERATIVE GEOMETRIC STRUCTURES." International Journal of Geometric Methods in Modern Physics 07, no. 07 (2010): 1103–14. http://dx.doi.org/10.1142/s0219887810004749.

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In this work, we propose a study of geometric structures (connections, pseudo-Riemannian metrics) adapted to some fundamental problems of Differential Geometry. Then we find geometrical characteristics of some ODE or PDE of Mathematical Physics. While Sec. 1 contains the general setting, Secs. 2–5 contain our results. In Sec. 2, we introduce a Hessian structure having the same connection as the initial metric. In Sec. 3, we initiate a study on iterative 2D Hessian structures. In Sec. 4, we find pairs (metric, connection) generated by special functions. In Sec. 5, we find geometric characterist
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Beltracchi, T. J., and G. A. Gabriele. "A Hybrid Variable Metric Update for the Recursive Quadratic Programming Method." Journal of Mechanical Design 113, no. 3 (1991): 280–85. http://dx.doi.org/10.1115/1.2912780.

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The Recursive Quadratic Programming (RQP) method has become known as one of the most effective and efficient algorithms for solving engineering optimization problems. The RQP method uses variable metric updates to build approximations of the Hessian of the Lagrangian. If the approximation of the Hessian of the Lagrangian converges to the true Hessian of the Lagrangian, then the RQP method converges quadratically. The choice of a variable metric update has a direct effect on the convergence of the Hessian approximation. Most of the research performed with the RQP method uses some modification o
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Li, Wuchen. "Hessian metric via transport information geometry." Journal of Mathematical Physics 62, no. 3 (2021): 033301. http://dx.doi.org/10.1063/5.0012605.

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TOTARO, BURT. "THE CURVATURE OF A HESSIAN METRIC." International Journal of Mathematics 15, no. 04 (2004): 369–91. http://dx.doi.org/10.1142/s0129167x04002338.

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Inspired by Wilson's paper on sectional curvatures of Kähler moduli, we consider a natural Riemannian metric on a hypersurface {f=1} in a real vector space, defined using the Hessian of a homogeneous polynomial f. We give examples to answer a question posed by Wilson about when this metric has nonpositive curvature. Also, we exhibit a large class of polynomials f on R3 such that the associated metric has constant negative curvature. We ask if our examples, together with one example by Dubrovin, are the only ones with constant negative curvature. This question can be rephrased as an appealing q
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Zhang, Jun, та Ting-Kam Leonard Wong. "λ-Deformation: A Canonical Framework for Statistical Manifolds of Constant Curvature". Entropy 24, № 2 (2022): 193. http://dx.doi.org/10.3390/e24020193.

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This paper systematically presents the λ-deformation as the canonical framework of deformation to the dually flat (Hessian) geometry, which has been well established in information geometry. We show that, based on deforming the Legendre duality, all objects in the Hessian case have their correspondence in the λ-deformed case: λ-convexity, λ-conjugation, λ-biorthogonality, λ-logarithmic divergence, λ-exponential and λ-mixture families, etc. In particular, λ-deformation unifies Tsallis and Rényi deformations by relating them to two manifestations of an identical λ-exponential family, under subtr
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Dogan, Keremcan. "Statistical geometry and Hessian structures on pre-Leibniz algebroids." Journal of Physics: Conference Series 2191, no. 1 (2022): 012011. http://dx.doi.org/10.1088/1742-6596/2191/1/012011.

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Abstract We introduce statistical, conjugate connection and Hessian structures on anti-commutable pre-Leibniz algebroids. Anti-commutable pre-Leibniz algebroids are special cases of local pre-Leibniz algebroids, which are still general enough to include many physically motivated algebroids such as Lie, Courant, metric and higher-Courant algebroids. They create a natural framework for generalizations of differential geometric structures on a smooth manifold. The symmetrization of the bracket on an anti-commutable pre-Leibniz algebroid satisfies a certain property depending on a choice of an equ
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Feng, Guanhua, Weifeng Liu, Dapeng Tao, and Yicong Zhou. "Hessian Regularized Distance Metric Learning for People Re-Identification." Neural Processing Letters 50, no. 3 (2019): 2087–100. http://dx.doi.org/10.1007/s11063-019-10000-4.

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Kumar, Rakesh, Garima Gupta, and Rachna Rani. "Adapted connections on Kaehler–Norden Golden manifolds and harmonicity." International Journal of Geometric Methods in Modern Physics 17, no. 02 (2020): 2050027. http://dx.doi.org/10.1142/s0219887820500279.

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We study almost complex Norden Golden manifolds and Kaehler–Norden Golden manifolds. We derive connections adapted to almost complex Norden Golden structure of an almost complex Norden Golden manifold and of a Kaehler–Norden Golden manifold. We also set up a necessary and sufficient condition for the integrability of almost complex Norden Golden structure. We define twin Norden Golden Hessian metric for a Kaehler–Norden Golden Hessian manifold. Finally, we prove that a complex Norden Golden map between Kaehler–Norden Golden manifolds is a harmonic map.
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Dissertations / Theses on the topic "Hessian metric"

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Paločková, Anežka. "Změny krajiny vlivem suburbanizace - příklad jihovýchodního zázemí Prahy." Master's thesis, 2013. http://www.nusl.cz/ntk/nusl-320795.

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The study deals with the evaluation of landscape changes and ecosystem functions in the case study situated in the hintreland of Prague with the emphasis on the process of suburbanization. It analyzes the amounts, the range and the types of the changes of landscape due to suburbanization process and their effects on landscape structure and function. Landscape changes are evaluated using remote sensing and software ArcGIS, function and services of ecosystems are evaluated by modified Hessen method. Powered by TCPDF (www.tcpdf.org)
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Book chapters on the topic "Hessian metric"

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Eskandari, Mohammadreza, Houssem-Eddine Gueziri, and D. Louis Collins. "Hessian-Based Similarity Metric for Multimodal Medical Image Registration." In Medical Image Computing and Computer Assisted Intervention – MICCAI 2023 Workshops. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-47425-5_23.

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C. Combe, Noémie. "Perspective Chapter: Wishart Matrices and Quantum Geometry – Foundations and Applications in Quantum Information." In Applications of Matrix Theory in the Digital Era [Working Title]. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1010860.

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We present a unified framework for the study of Wishart matrices WpnΣ, which generalize the chi-squared distribution to matrix-variate settings and model the covariance structure of multivariate Gaussian data. After recalling their defining properties—additivity under independent summation W1+W2∼Wpn1+n2Σ, equivariance under linear maps AWAT∼WqnAΣAT, and their role as sample covariance matrices—we embed the positive-definite cone Sp+ within Monge-Ampère geometry. Here, Sp+ acquires a Hessian manifold structure with affine-invariant metric and volume form ω=detΣ−p+12dΣ, under which the Wishart d
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Weiskrantz, Lawrence. "Standard Situation." In Blindsight. Oxford University PressOxford, 2009. http://dx.doi.org/10.1093/oso/9780199567218.003.0020.

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Abstract During the last few years of work with D.B., it became possible to test subjects with visual defects in a constant environment (space kindly made available by the National Hospital, Queen Square, London) and with a fixed procedure, so that a spectrum of capacities could be measured for comparative purposes. D.B. was tested on some of these procedures on three occasions, in September 1979, April 1982, and lastly in August 1983. The room was light-proofed, and surfaces that might be reflective were draped with black velvet. The front wall was covered with dark green hessian material, pr
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McDivitt, Jordan A., Steffen G. Hagemann, Matthew S. Baggott, and Stuart Perazzo. "Chapter 12: Geologic Setting and Gold Mineralization of the Kalgoorlie Gold Camp, Yilgarn Craton, Western Australia." In Geology of the World’s Major Gold Deposits and Provinces. Society of Economic Geologists, 2020. http://dx.doi.org/10.5382/sp.23.12.

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Abstract The Kalgoorlie gold camp in the Yilgarn craton of Western Australia comprises the supergiant Golden Mile and the smaller Mt. Charlotte, Mt. Percy, and Hidden Secret deposits. Since the camp’s discovery in 1893, ~1,950 metric tons (t) of Au have been produced from a total estimated endowment of ~2,300 t. The camp is located within Neoarchean rocks of the Kalgoorlie terrane, within the Eastern Goldfields superterrane of the eastern Yilgarn craton. Gold mineralization is distributed along an 8- × 2-km, NNW-trending corridor, which corresponds to the Boulder Lefroy-Golden Mile fault syste
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Conference papers on the topic "Hessian metric"

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Beltracchi, T. J., and G. A. Gabriele. "A Hybrid Variable Metric Update for the Recursive Quadratic Programming Method." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0073.

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Abstract The Recursive Quadratic Programming (RQP) method has been shown to be one of the most effective and efficient algorithms for solving engineering optimization problems. The RQP method uses variable metric updates to build approximations of the Hessian of the Lagrangian. If the approximation of the Hessian of the Lagrangian converges to the true Hessian of the Lagrangian, then the RQP method converges quadratically. The convergence of the Hessian approximation is affected by the choice of the variable metric update. Most of the research that has been performed with the RQP method uses t
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Tariq, Zeeshan, Bicheng Yan, and Shuyu Sun. "Application of Image Processing Techniques in Deep-Learning Workflow to Predict CO2 Storage in Highly Heterogeneous Naturally Fractured Reservoirs: A Discrete Fracture Network Approach." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213359-ms.

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Abstract Naturally fractured reservoirs (NFRs), such as fractured carbonate reservoirs, are commonly located worldwide and have the potential to be good sources of long-term storage of carbon dioxide (CO2). The numerical reservoir simulation models are an excellent source for evaluating the likelihood and comprehending the physics underlying behind the interaction of CO2 and brine in subsurface formations. For various reasons, including the rock's highly fractured and heterogeneous nature, the rapid spread of the CO2 plume in the fractured network, and the high capillary contrast between matri
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NODA, Tomonori, and Nobutaka BOUMUKI. "TOTALLY GEODESIC KÄHLER IMMERSIONS INTO A COMPLEX SPACE FORM, AND A NON-EXISTENCE THEOREM FOR HESSIAN METRICS OF POSITIVE CONSTANT HESSIAN SECTIONAL CURVATURE." In Proceedings of the International Workshop in Honor of S Maeda's 60th Birthday. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814566285_0011.

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