Results 61 to 70 of about 2,282 (200)
Riemannian Local Mechanism for SPD Neural Networks
, 2023 The Symmetric Positive Definite (SPD) matrices have received wide attention for data representation in many scientific areas. Although there are many different attempts to develop effective deep architectures for data processing on the Riemannian ...
Xu, Tianyang +5 more
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Information-Geometric Models in Data Analysis and Physics
MathematicsInformation geometry provides a data-informed geometric lens for understanding data or physical systems, treating data or physical states as points on statistical manifolds endowed with information metrics, such as the Fisher information.
D. Bernal-Casas, José M. Oller
doaj +1 more source
The Revo‐Evo Debate in the History and Philosophy of Science
Natural Sciences, Volume 6, Issue 3, July 2026.The paper juxtaposes revolutionary and evolutionary positions in epistemology in general as well as the history of science. While it deems the evolutionary arguments more persuasive, it also stresses the dependence of our assessment of change on the language we choose to describe the theories and positions under consideration.
Yemima Ben‐Menahem
wiley +1 more source
Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding
Med Research, Volume 2, Issue 2, Page 371-387, June 2026.This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han +5 more
wiley +1 more source
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
, 2021 Given a three-dimensional Riemannian manifold containing a ball with an explicit lower bound on its Ricci curvature and positive lower bound on its volume, we use Ricci flow to perturb the Riemannian metric on the interior to a nearby Riemannian metric ...
Topping, Peter, Miles, Simon
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Local solvability of degenerate Monge-Ampere equations and applications to geometry
Electronic Journal of Differential Equations, 2007 We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampere type. These are: the problem of locally prescribed Gaussian curvature for surfaces in $mathbb{R}^{3}$, and the local
Marcus A. Khuri
doaj
Incompatible deformations in solids with hyperbolic thermoelasticity
Вестник Самарского университета: Естественнонаучная серияThe present study aims to develop a theory of incompatible deformations and evolutionary problems for media with hyperbolic heat conductivity. The specificity of the problem lies in the fact that, although it seems preferable to adopt Hamilton’s ...
K. G. Koifman
doaj +1 more source
Spacetime Deformation-Induced Inertia Effects
Advances in Mathematical Physics, 2012 We construct a toy model of spacetime deformation-induced inertia effects, in which we prescribe to each and every particle individually a new fundamental constituent of hypothetical 2D, so-called master space (MS), subject to certain rules.
Gagik Ter-Kazarian
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On the properties of stationary configurations of a rotating self-gravitating ideal fluid with a vortex gravitational field [PDF]
Известия Саратовского университета. Новая серия: ФизикаBackground and Objectives: Within the framework of Einstein’s general-relativistic theory of gravity, that is, the general theory of relativity (GR), the properties of stationary distributions of a self-gravitating rotating continuous medium in the
Krechet, Vladimir G. +2 more
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Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry
Nonlinear AnalysisWe prove that the sub-Riemannian exponential map is not injective in any neighbourhood of certain critical points. Namely that it does not behave like the injective map of reals given by $f(x) = x^3$ near its critical point $x = 0$. As a consequence, we characterise conjugate points in ideal sub-Riemannian manifolds in terms of the metric structure of ...
Borza, Samuël, Klingenberg, Wilhelm
openaire +2 more sources