Results 21 to 30 of about 751,757 (240)
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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Universal corner symmetry and the orbit method for gravity
Nuclear Physics B, 2023 A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
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Gaalop - high performance parallel computing based on conformal geometric algebra
, 2022 S.477-494We present Gaalop (Geometric algebra algorithms optimizer) our tool for high performance computing based on conformal geometric algebra.
Pitt, Joachim +2 more
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Clustering of Questionnaire Based on Feature Extracted by Geometric Algebra [PDF]
, 2008 Clustering is one of the most useful methods to understand similarity among data. However, most conventional clustering methods do not pay sufficient attention to geometric properties of data. Geometric algebra (GA) is a generalization of complex numbers
MINH, TUAN PHAM +4 more
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Color Edge Detection Hardware based on Geometric Algebra.
, 2006 Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color.
Mishra, Biswajit, Wilson, Peter
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A geometric approach to Conn's linearization theorem [PDF]
, 2011 We give a soft geometric proof of the classical result due to Conn stating that a Poisson structure is linearizable around a singular point (zero) at which the isotropy Lie algebra is compact and ...
Marius Crainic +5 more
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UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra
IEEE Access, 2019 Image segmentation is widely used in the field of agriculture to improve the yields and protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also contributing to the inter and intra crop monitoring.
Prince Waqas Khan +4 more
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Geometric phases characterise operator algebras and missing information
Journal of High Energy Physics, 2023 We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We find a direct relation between geometric phases and von Neumann algebras.
Souvik Banerjee +3 more
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Mathematics, 2022 In this paper, power flows in electrical circuits are modelled in a mixed time-frequency domain by using geometric algebra and the Hilbert transform for the first time.
Francisco G. Montoya +4 more
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A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra [PDF]
, 2011 Clustering is one of the most useful methods for understanding similarity among data. However, most conventional clustering methods do not pay sufficient attention to the geometric properties of data. Geometric algebra (GA) is a generalization of complex
Furuhashi, Takeshi +3 more
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