Results 11 to 20 of about 120,740 (217)
Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments [PDF]
Encyclopedia of Information Science and Technology, 2019 This article provides an exposition of recent methodologies for nonparametric analysis of digital observations on images and other non-Euclidean objects. Fréchet means of distributions on metric spaces, such as manifolds and stratified spaces, have played an important role in this endeavor.
Bhattacharya, Rabi, Lin, Lizhen
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Geometric neural operators (gnps) for data-driven deep learning in non-euclidean settings
Machine Learning: Science and TechnologyWe introduce Geometric Neural Operators (GNPs) for data-driven deep learning of geometric features for tasks in non-euclidean settings. We present a formulation for accounting for geometric contributions along with practical neural network architectures ...
B Quackenbush, P J Atzberger
doaj +2 more sources
Partial differential equations with non-Euclidean geometries
Discrete & Continuous Dynamical Systems - S, 2008 Coifman and Weiss initiated the study of singular integral operators on spaces of homogeneous type. We study partial differential equations with a non-Euclidean geometry and we obtain weighted estimates using the theory of Muckenhoupt weights on related spaces of homogeneous type.
H. Koch
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Equivalence of paths in some non-Euclidean geometry
Вестник КРАУНЦ. Физико-математические науки, 2022 Пусть G – подгруппа в группе всех обратимых линейных преобразований конечномерного действительного пространства Rn. Одной из задач дифференциальной геометрии является нахождение легко проверяемых необходимых и достаточных условий, обеспечивающих G ...
Р.А. Гаффоров +1 more
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Theory and Numerical Simulation of Deep Rock Mass Based on a Non-Euclidean Model
Scientific Programming, 2022 Rock masses existing in nature may experience closed internal stress under the action of geological structures. This closed internal stress makes the deformation of the rock mass incompatible, so classic continuum theory is not suitable for analyzing the
Yingji Bao, B. Jiang
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Illustrating Geometric Algebra and Differential Geometry in 5D Color Space
Computer Science Research Notes, 2023 Geometric Algebra (GA) is popular for its immediate geometric interpretations of algebraic objects and operations. It is based on Clifford Algebra on vector spaces and extends linear algebra of vectors by operations such as an invertible product, i.e ...
W. Benger
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Monopoles, vortices and kinks in the framework of non-commutative geometry [PDF]
, 1997 Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum state, should ...
Teo, Edward, Ting, Christopher
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Supersymmetric solutions to Euclidean Romans supergravity [PDF]
, 2016 We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an SU(2) structure ...
Alday, Luis F. +4 more
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Integrable Background Geometries [PDF]
, 2014 This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
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Hyperbolic Geometry For Non-Differential Topologists [PDF]
Mathematica Slovaca, 2018 A soft presentation of hyperbolic spaces (as metric spaces), free of differential apparatus, is offered. Fifth Euclid’s postulate in such spaces is overthrown and, among other things, it is proved that spheres (equipped with great-circle distances) and ...
Piotr Niemiec, P. Pikul
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