Results 31 to 40 of about 1,147 (194)
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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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
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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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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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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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The Dirichlet problem for the k-Hessian equation on a complex manifold
American Journal of Mathematics, 2022 We solve the Dirichlet problem for $k$-Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a priori estimate of the solution on the boundary with a particular gradient scale.
Collins, Tristan C., Picard, Sebastien
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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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Health & Justice, 2023 Background Previous studies about health in prisons conclude that incarceration has detrimental consequences for physical and mental health. It is associated with weight gain, decreased fitness, increased cardiovascular risks, and increased risks for ...
Michael Mutz, Johannes Müller
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A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature [PDF]
ISRN Geometry, 2011 The geometry of Hessian manifold, as a branch of statistics, physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a new field for scientists. However, inspite of its importance submanifolds and curvature conditions of it have not been so well known yet.
Yilmaz, Münevver Yildirim +1 more
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