Intrinsic Shape LDA With Application to Body Human Shapes Classification
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.ABSTRACT Advancements in 3D scanning and cloud infrastructure enable the acquisition and analysis of high‐density body surface datasets. In this work, we propose a novel methodology that extends linear discriminant analysis (LDA) to Kendall's shape space for the classification of 3D objects, specifically human body shapes.
Jorge Valero +3 more
wiley +1 more source
A study on the combination of functional connection features and Riemannian manifold in EEG emotion recognition. [PDF]
Front Neurosci, 2023 Wu M +5 more
europepmc +1 more source
Cloud‐Plots for Spherical Data With Applications to Glaucoma and Gait Cyclograms
Statistics in Medicine, Volume 45, Issue 18-19, August 2026.ABSTRACT In several biomedical contexts, the need for diagnostic analyses of data that is a set of directions in 2, 3, or higher dimensions arises, as for instance, when considering the relative movement of body parts like the limbs, or looking at anatomical orientations.
S. Rao Jammalamadaka, Ali H. Abuzaid
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.
Hobum Kim
doaj +1 more source
Uncovering shape signatures of resting-state functional connectivity by geometric deep learning on Riemannian manifold. [PDF]
Hum Brain Mapp, 2022 Dan T +5 more
europepmc +1 more source
Kazdan–Warner obstructions for a fourth‐order boundary problem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
wiley +1 more source
Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry. [PDF]
Entropy (Basel), 2021 Gao W, Ma Z, Gan W, Liu S.
europepmc +1 more source
Mirror descent on Riemannian manifolds
Analysis and ApplicationsMirror Descent (MD) is a scalable first-order method widely used in large-scale optimization, with applications in image processing, policy optimization, and neural network training. This paper generalizes MD to optimization on Riemannian manifolds. In particular, we develop a Riemannian Mirror Descent (RMD) framework via reparameterization and further
Jiaxin Jiang, Lei Shi, Jiyuan Tan
openaire +2 more sources
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
Evaluating the Implicit Midpoint Integrator for Riemannian Manifold Hamiltonian Monte Carlo. [PDF]
Proc Mach Learn Res, 2021 Brofos JA, Lederman RR.
europepmc +1 more source