Results 31 to 40 of about 2,645,036 (193)
Statistical structures arising in null submanifolds
AbstractWe show a link between affine differential geometry and null submanifolds in a semi-Riemannian manifold via statistical structures. Once a rigging for a null submanifold is fixed, we can construct a semi-Riemannian metric on it. This metric and the induced connection constitute a statistical structure on the null submanifold in some cases.
Calvin B. Meli +2 more
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Discriminant Manifold Learning via Sparse Coding for Robust Feature Extraction
Most off-the-shelf subspace learning methods directly calculate the statistical characteristics of the original input images, while ignoring different contributions of different image components. In fact, to extract efficient features for image analysis,
Meng Pang +3 more
doaj +1 more source
Totally Real Statistical Submanifolds
Summary: We prove that a semi-parallel totally real statistical submanifold with some natural conditions is totally geodesic if it is of non zero constant curvature, which is corresponding to the Kassabov theorem in the submanifold theory of Kähler manifolds.
openaire +2 more sources
This paper introduces the notion of screen generic lightlike submanifolds (SGLSs) of an indefinite Kaehler statistical manifold equipped with a quarter-symmetric non-metric (QSNM) connection, supported by suitable illustrations.
Vandana Gupta +3 more
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Calibrating Bayesian inference
Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu +2 more
wiley +1 more source
Holonomy and submanifold geometry [PDF]
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S +4 more
core
Geometric Inequalities for Statistical Submanifolds in Cosymplectic Statistical Manifolds
In this paper, we obtain two important geometric inequalities namely, Euler’s inequality and Chen’s inequality for statistical submanifolds in cosymplectic statistical manifolds with constant curvature, and discuss the equality case of the inequalities. We also give some applications of the inequalities obtained.
Kazaz, Mustafa, Aslam, Mohd, Aquib, Mohd
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Survey on differential estimators for 3d point clouds
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Electronic Dissemination of Statistical Data [PDF]
The Subcommittee on Electronic Dissemination of Statistical Data was formed in January 1994 to document the use in Federal statistical agencies of electronic means of disseminating data.
United States, Federal Committee on Statistical Methodology. Subcommittee on Electronic Dissemination of Statistical Data
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Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source

