Results 11 to 20 of about 2,833,548 (240)
Multisensor Estimation Fusion on Statistical Manifold [PDF]
Entropy, 2022 In the paper, we characterize local estimates from multiple distributed sensors as posterior probability densities, which are assumed to belong to a common parametric family.
Xiangbing Chen, Jie Zhou
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A Deformed Exponential Statistical Manifold [PDF]
Entropy, 2019 Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ ...
Francisca Leidmar Josué Vieira +3 more
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Mixture and Exponential Arcs on Generalized Statistical Manifold [PDF]
Entropy, 2018 In this paper, we investigate the mixture arc on generalized statistical manifolds. We ensure that the generalization of the mixture arc is well defined and we are able to provide a generalization of the open exponential arc and its properties.
Luiza H. F. de Andrade +3 more
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Statistical Manifold Generation-Driven Equipment Collaborative Personalized Fault Diagnosis [PDF]
SensorsIn Industrial Internet of Things (IIoT) scenarios, data privacy constraints and distribution discrepancies caused by time-varying working conditions hinder existing intelligent fault diagnosis models from maintaining robust generalization performance ...
Kaiwei Liu, Yaowei Shi
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Manifold-like Matchbox Manifolds [PDF]
, 2017 A matchbox manifold is a generalized lamination, which is a continuum whose arccomponents define the leaves of a foliation of the space. The main result of this paper implies that a matchbox manifold which is manifold-like must be homeomorphic to a weak ...
Olga Lukina (7780643) +2 more
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Manifold-like matchbox manifolds
, 2019 A matchbox manifold is a generalized lamination, which is a continuum whose arc-components define the leaves of a foliation of the space. The main result of this paper implies that a matchbox manifold which is manifold-like must be homeomorphic to a weak
Olga Lukina (7780643) +2 more
core +7 more sources
On Nearly Sasakian and Nearly Kähler Statistical Manifolds
Mathematics, 2023 In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin +3 more
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Entropy, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional ...
Simona Decu, Gabriel-Eduard Vîlcu
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Mathematics, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
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Axioms, 2023 The purpose of this paper is to find some conditions under which the tangent bundle TM has a dualistic structure. Then, we introduce infinitesimal affine transformations on statistical manifolds and investigate these structures on a special statistical ...
Esmaeil Peyghan +2 more
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