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Manifold lateralisation and variability in the language connectome at 7T
Dulyan L +5 more
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Theoretical Framework, Technical Evolution, and Future Prospects of Cross-Modal Mapping and Controllable Image Generation Under Multi-Source Heterogeneous Collaboration. [PDF]
Chen M +6 more
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Quantum circuit complexity and unsupervised machine learning of topological order. [PDF]
Che Y, Gneiting C, Wang X, Nori F.
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Exponential statistical manifold
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CENA A, PISTONE, Giovanni
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Diffusion on Statistical Manifolds
2006 International Conference on Image Processing, 2006This paper presents a new diffusion scheme on statistical manifolds for the detection of texture boundaries. The technique derives from our previous work, in which 2-dimensional Riemannian manifolds were statistically defined by maps that transform a parameter domain onto a set of probability density functions.
Sang-Mook Lee +3 more
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Musical Isomorphisms and Statistical Manifolds
Mediterranean Journal of Mathematics, 2022On a pseudo-Riemannian manifold \((M, g)\), an affine connection \(\nabla\) is called a Codazzi connection if \(\nabla g\) is totally symmetric. The triple \((M,g,\nabla)\) is called a statistical manifold if \(\nabla\) is torsion free and Codazzi. This is the setting of information geometry.
Esmaeil Peyghan +2 more
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Diffusion Kernels on Statistical Manifolds
J. Mach. Learn. Res., 2005A family of kernels for statistical learning is introduced that exploits the geometric structure of statistical models. The kernels are based on the heat equation on the Riemannian manifold defined by the Fisher information metric associated with a statistical family, and generalize the Gaussian kernel of Euclidean space.
John D. Lafferty, Guy Lebanon
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Information geometry and statistical manifold
Chaos, Solitons & Fractals, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdel-All, Nassar H. +2 more
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