Results 81 to 90 of about 1,647 (169)

Objective assessment of familiarity in music using imagery and EEG-based machine learning

Scientific Reports
Musical 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, Magali Nicolier, Julie Giustiniani, Djamila Bennabi, Emmanuel Haffen, Pierre Vandel, Damien Gabriel   +6 more
doaj   +1 more source

The Omega metric: a Hessian geometry for finite-depth structural variation

Frontiers in Physics
Complex systems exhibit not only increasing disorder but also the emergence of structured organization across space, time, and scale. The finite–depth Intropy framework formalized this interplay through a discrete structural potential profile Ω(k) and ...
Patrick Bini
doaj   +1 more source

Hilbert Bundles and Holographic Space–Time Models

Astronomy
We reformulate holographic space–time models in terms of Hilbert bundles over the space of the time-like geodesics in a Lorentzian manifold. This reformulation resolves the issue of the action of non-compact isometry groups on finite-dimensional Hilbert ...
Tom Banks
doaj   +1 more source

Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics

Entropy
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
doaj   +1 more source

PPI-Diff: De Novo Generation of Peptide Binders via Resolution-Aware Geometric Diffusion

Biomolecules
Peptide 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, Sijia Li, Chang Hou, Dali Xu   +3 more
doaj   +1 more source

Optimizing dance motion reconstruction using a two-dimensional matrix approach with hybrid genetic and fuzzy logic differential evolution

Scientific Reports
The development of dance movements using motion capture technology presents notable challenges, such as constraints related to body morphology, clothing interference, and the inherently nonlinear dynamics of human motion.
Lin Wang, Yutong Liu, Yucong Geng, Mohammad Khishe   +3 more
doaj   +1 more source

Formulation of Scale-Gauge Theory and Its Cosmological Consequences Part I (Revised): Local Scale Symmetry on Riemannian Geometry Free from Non-Metricity

This paper presents a revised and significantly strengthened foundational formulation of Scale-Gauge Theory (SGT), superseding the framework first proposed in the author's earlier preprint Formulation of Scale-Gauge Theory and Its Cosmological Consequences, Part I: Foundational Framework (Zenodo, 2025, DOI: 10.5281/zenodo.17688698).
openaire   +2 more sources

Book Review: The method of iterated tangents with applications in local Riemannian geometry [PDF]

Bulletin of the American Mathematical Society, 1983
openaire   +1 more source

Riemannian Geometry for Noise-Robust Covariance Network Analysis of Schizophrenia EEG: Geometric-Entropic Signatures of Dysconnectivity. [PDF]

Entropy (Basel)
Song R, He J, Wang J.
europepmc   +1 more source

When models choose metrics: Hidden geometry in computational biology. [PDF]

PLoS Comput Biol
Fox DM.
europepmc   +1 more source