Results 1 to 10 of about 1,647 (169)
Local Riemannian geometry of model manifolds and its implications for practical parameter identifiability. [PDF]
PLoS ONE, 2019 When non-linear models are fitted to experimental data, parameter estimates can be poorly constrained albeit being identifiable in principle. This means that along certain paths in parameter space, the log-likelihood does not exceed a given statistical ...
Daniel Lill, Jens Timmer, Daniel Kaschek
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PADA: perturbation-aware differential Riemannian attention for robust motor imagery decoding [PDF]
Frontiers in NeuroscienceIntroductionRiemannian geometry models have significantly improved the robustness and performance of EEG-based motor imagery decoding and are better suited to small sample sizes; however, their ability to extract nonlinear and spatiotemporal variability ...
Jianxiu Li +16 more
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Information-Geometric Detection via Local SPD Structure Fields in the Time–Frequency Domain [PDF]
EntropyNon-stationary signal detection is challenging when discriminative information is not reflected in global energy, mean spectra, or a single covariance statistic, but is instead embedded in the organization of local time–frequency structures.
Yaohao Yue, Benjie Wei, Yang Yang
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Tensor invariants of generalized Kenmotsu manifolds [PDF]
E3S Web of Conferences, 2021 In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian ...
Shihab Ali Abdul Al Majeed +1 more
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An Approach to Fisher-Rao Metric for Infinite Dimensional Non-Parametric Information Geometry [PDF]
EntropyNon-parametric information geometry has long faced an “intractability barrier”: in the infinite-dimensional setting, the Fisher–Rao metric is a weak Riemannian metric functional that lacks a bounded inverse, rendering classical optimization and ...
Bing Cheng, Howell Tong
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection
Journal of New Theory, 2021 In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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Mathematics, 2022 In shape analysis, the interpolation of shapes’ trajectories is often performed by means of geodesics in an appropriate Riemannian Shape Space. Over the past several decades, different metrics and shape spaces have been proposed, including Kendall shape ...
Valerio Varano +5 more
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Intrinsic fractional Taylor formula
Bruno Pini Mathematical Analysis Seminar, 2022 We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
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Quantum State Assignment Flows
Entropy, 2023 This paper introduces assignment flows for density matrices as state spaces for representation and analysis of data associated with vertices of an underlying weighted graph.
Jonathan Schwarz +5 more
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