Results 31 to 40 of about 24,975 (207)
Physical Review Research, 2022 It is known that the trajectory of an endoreversibly driven system with minimal dissipation is a geodesic on the equilibrium state space. Thereby, the state space is equipped with the Riemannian metric given by the Hessian of the free energy function ...
Dimitri Loutchko +2 more
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N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities [PDF]
, 2007 We analyze the Hessian matrix of the black hole potential of N=8, d=4 supergravity, and determine its rank at non-BPS critical points, relating the resulting spectrum to non-BPS solutions (with non-vanishing central charge) of N=2, d=4 magic ...
Ferrara, S., Marrani, A.
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Robust Hessian Locally Linear Embedding Techniques for High-Dimensional Data
Algorithms, 2016 Recently manifold learning has received extensive interest in the community of pattern recognition. Despite their appealing properties, most manifold learning algorithms are not robust in practical applications.
Xianglei Xing, Sidan Du, Kejun Wang
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A non-convex optimization framework for large-scale low-rank matrix factorization
Machine Learning with Applications, 2022 Low-rank matrix factorization problems such as non negative matrix factorization (NMF) can be categorized as a clustering or dimension reduction technique. The latter denotes techniques designed to find representations of some high dimensional dataset in
Sajad Fathi Hafshejani +3 more
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Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry [PDF]
, 2013 We construct non-extremal as well as extremal black string solutions in minimal five-dimensional supergravity coupled to vector multiplets using dimensional reduction to three Euclidean dimensions. Our method does not assume that the scalar manifold is a
Dempster, Paul, Mohaupt, Thomas
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IEEE Access, 2022 The virtual derivatives computation and successive derivations of virtual inputs in an adaptive backstepping controller cause the explosion of complexity. Moreover, the feedback linearization has poor robustness features and necessitates exact estimation
Syed Shadab Nayyer +5 more
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Vanishing theorems for compact hessian manifolds [PDF]
Annales de l'Institut Fourier, 1986 A manifold is said to be Hessian if it admits a flat affine connection D and a Riemannian metric g such that g=D 2 u where u is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.
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Hessian Equations of Krylov Type on Kähler Manifolds
The Journal of Geometric Analysis, 2023 In this paper, we consider Hessian equations with its structure as a combination of elementary symmetric functions on closed K hler manifolds. We provide a sufficient and necessary condition for the solvability of these equations, which generalize the results of Hessian equations and Hessian quotient equations.
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A Lichnerowicz–Obata–Cheng Type Theorem on Finsler Manifolds
Mathematics, 2018 Let ( M , F , d μ ) be a Finsler manifold with the Ricci curvature bounded below by a positive number and constant S-curvature. We prove that, if the first eigenvalue of the Finsler⁻Laplacian attains its lower bound, then M is ...
Songting Yin, Pan Zhang
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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