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Riemannian Score-Based Generative Modeling
Neural Information Processing Systems, 2022Score-based generative models (SGMs) are a powerful class of generative models that exhibit remarkable empirical performance. Score-based generative modelling (SGM) consists of a ``noising'' stage, whereby a diffusion is used to gradually add Gaussian ...
Valentin De Bortoli +5 more
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Flowing on Riemannian Manifold: Domain Adaptation by Shifting Covariance
IEEE Transactions on Cybernetics, 2014Domain adaptation has shown promising results in computer vision applications. In this paper, we propose a new unsupervised domain adaptation method called domain adaptation by shifting covariance (DASC) for object recognition without requiring any ...
Zhen Cui +5 more
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Riemannian Metrics and Riemannian Manifolds
2020Fortunately, the rich theory of vector spaces endowed with a Euclidean inner product can, to a great extent, be lifted to the tangent bundle of a manifold. The idea is to equip the tangent space TpM at p to the manifold M with an inner product 〈−, −〉p, in such a way that these inner products vary smoothly as p varies on M. It is then possible to define
Jean Gallier, Jocelyn Quaintance
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A Symplectic Integrator for Riemannian Manifolds
Journal of Nonlinear Science, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leimkuhler, B., Patrick, G. W.
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Potential Analysis, 2012
We prove the existence and the uniqueness of a solution to the stochastic NSLEs on a two-dimensional compact riemannian manifold. Thus we generalize (and improve) a recent work by Burq et al.
Z. Brzeźniak, A. Millet
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We prove the existence and the uniqueness of a solution to the stochastic NSLEs on a two-dimensional compact riemannian manifold. Thus we generalize (and improve) a recent work by Burq et al.
Z. Brzeźniak, A. Millet
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Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature
Geometry of Biharmonic Mappings, 2011In this article, we show that, for a biharmonic hypersurface (M, g) of a Riemannian manifold (N, h) of non-positive Ricci curvature, if $${\int_M\vert H\vert^2 ...
Nobumitsu Nakauchi, H. Urakawa
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The Manifolds Covered by a Riemannian Homogeneous Manifold
American Journal of Mathematics, 1960Introduction. The sphere is known to be the universal covering for complete connected Riemannian manifolds of constant positive curvature. More precisely, if M is an n-dimensional complete connected Riemannian manifold of constant sectional curvature k2 > 0 with k > 0, and if Sn is the sphere of radius k-1 in Euclidean space RI'+', with the induced ...
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On the Curvatura Integra in a Riemannian Manifold
The Annals of Mathematics, 1945zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inferring imagined speech using EEG signals: a new approach using Riemannian manifold features
Journal of Neural Engineering, 2018Chuong H. Nguyen +2 more
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