Results 11 to 20 of about 11,887 (293)
Advances in Neural Information Processing Systems 36, 2023 Problems involving geometric data arise in physics, chemistry, robotics, computer vision, and many other fields. Such data can take numerous forms, for instance points, direction vectors, translations, or rotations, but to date there is no single architecture that can be applied to such a wide variety of geometric types while respecting their ...
Johann Brehmer +3 more
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Learning behavior aware features across spaces for improved 3D human motion prediction [PDF]
Scientific Reports3D skeleton-based human motion prediction is an essential and challenging task for human-machine interactions, aiming to forecast future poses given a history of previous motions.
Ruiya Ji +3 more
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IEEE Access, 2022 This article presents a revisited proposal for the formulation of objects and geometric relations and constraints in the conformal space. For modeling, graphics engineering, kinematics, and dynamics, the solution of problems using only points and lines ...
Eduardo Jose Bayro-Corrochano +4 more
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Generalized geometric Lie algebra and its research
上海师范大学学报. 自然科学版, 2023 In order to explore the general extension meanings of Lie algebra， the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied， containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
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GEOMETRIC ALGEBRAS AND EXTENSORS [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 This is the first paper in a series (of four) designed to show how to use geometric algebras of multivectors and extensors to a novel presentation of some topics of differential geometry which are important for a deeper understanding of geometrical theories of the gravitational field.
Fernández, V. V. +2 more
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An approach to adaptive filtering with variable step size based on geometric algebra
IET Communications, 2022 Recently, adaptive filtering algorithms have attracted much more attention in the field of signal processing. By studying the shortcoming of the traditional real‐valued fixed step size adaptive filtering algorithm, this paper proposed the novel approach ...
Haiquan Wang +3 more
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A Machine Proof System of Point Geometry Based on Coq
Mathematics, 2023 An important development in geometric algebra in recent years is the new system known as point geometry, which treats points as direct objects of operations and considerably simplifies the process of geometric reasoning.
Siran Lei +4 more
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IEEE Access, 2020 With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti +8 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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A multi‐channel geometric algebra residual network for traffic data prediction
IET Intelligent Transport Systems, 2022 Traffic data prediction offers a significant way to evaluate the future traffic congestion status; many deep learning based approaches have been widely applied in this field. Most current methods only consider short‐term traffic data forecasting; however,
Di Zang +6 more
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