Adaptive filter with Riemannian manifold constraint. [PDF]
Sci Rep, 2023 Mejia J +3 more
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A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
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
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Topological and geometric rigidity of nonnegatively curved submanifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
wiley +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
On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
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
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.
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Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
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