Results 41 to 50 of about 4,410 (252)
The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Entropy, 2020 We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
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Hypersurfaces in statistical manifolds
Differential Geometry and its Applications, 2009 A statistical structure on a manifold \(M\) consists of a Riemannian metric \(g\) and a torsion-free affine connection \(\nabla\) that satisfies \( (\nabla_Xg)(Y,Z) = (\nabla_Yg)(X,Z)\) for all vector fields \(X\), \(Y\), and \(Z\) on \(M\). The statistical manifold \((M, \nabla, g)\) has constant curvature \(k\) if \[ R^\nabla(X,Y)Z = k(g(Y,Z)X-g(X,Z ...
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SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS [PDF]
Journal of the Australian Mathematical Society, 2011 AbstractA relationship between symplectic geometry and information geometry is studied. The square of a dually flat space admits a natural symplectic structure that is the pullback of the canonical symplectic structure on the cotangent bundle of the dually flat space via the canonical divergence. With respect to the symplectic structure, there exists a
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
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On the α-connections and the α-conformal equivalence on statistical manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – In this paper, we give some properties of the α-connections on statistical manifolds and we study the α-conformal equivalence where we develop an expression of curvature R¯ for ∇¯ in relation to those for ∇ and ∇^. Design/methodology/approach –
Khadidja Addad, Seddik Ouakkas
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Tensor Balancing on Statistical Manifold
CoRR, 2017 We solve tensor balancing, rescaling an Nth order nonnegative tensor by multiplying N tensors of order N - 1 so that every fiber sums to one. This generalizes a fundamental process of matrix balancing used to compare matrices in a wide range of applications from biology to economics.
Mahito Sugiyama +2 more
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Robustness of statistical manifolds
Topology and its Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loi, A., Matta, S.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan +15 more
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Misperception of Body Weight After Childhood Cancer
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Misperception of body weight can negatively impact the weight management efforts of childhood cancer survivors (CCSs). Both being overweight or underweight are associated with chronic health conditions commonly observed in CCS; therefore, accurate weight perception is critical for reducing long‐term health risks.
Fabiën N. Belle +8 more
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An Alzheimer’s disease category progression sub-grouping analysis using manifold learning on ADNI
Scientific Reports, 2023 Many current statistical and machine learning methods have been used to explore Alzheimer’s disease (AD) and its associated patterns that contribute to the disease.
Dustin van der Haar +4 more
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