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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Extended Riemannian geometry II: local heterotic double field theory [PDF]
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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Local conformal symmetry in non-Riemannian geometry and the origin of physical scales [PDF]
European Physical Journal C: Particles and Fields, 2017 We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by adopting as a
Marco de Cesare +2 more
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Surface measure on, and the local geometry of, sub-Riemannian manifolds [PDF]
Calculus of Variations and Partial Differential Equations, 2023 AbstractWe prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for the uniform convergence of parametrized sub-Riemannian distances, and local uniform asymptotics for the diameter of small metric balls.
Sebastiano Don, Valentino Magnani
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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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Objective assessment of familiarity in music using imagery and EEG-based machine learning [PDF]
Scientific ReportsMusical memory engages perceptual, mnemonic, and predictive processes that enable listeners to recognize and internally continue familiar melodies. When expected musical events are briefly omitted, these predictive mechanisms often trigger spontaneous ...
Benjamin Darçot +6 more
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PPI-Diff: De Novo Generation of Peptide Binders via Resolution-Aware Geometric Diffusion [PDF]
BiomoleculesPeptide binders, serving as a critical drug modality bridging small-molecule compounds and protein macromolecules, can effectively mimic the secondary structural elements of natural proteins.
Benzhi Dong +3 more
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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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Local Riesz Transform and Local Hardy Spaces on Riemannian Manifolds with Bounded Geometry [PDF]
The Journal of Geometric Analysis, 2022 We prove that if $τ$ is a large positive number, then the atomic Goldberg-type space $\mathfrak{h}^1(N)$ and the space $\mathfrak{h}_{\mathcal R_τ}^1(N)$ of all integrable functions on $N$ whose local Riesz transform $\mathcal R_τ$ is integrable are the same space on any complete noncompact Riemannian manifold $N$ with Ricci curvature bounded from ...
Meda S., Veronelli G.
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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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