Results 51 to 60 of about 1,252,117 (301)
Algebraic topology of $G_2$ manifolds
, 2016 In this paper we give a survey of various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2. Some of these results are new. We give self-contained proofs here.
Akbulut, Selman, Kalafat, Mustafa
core +1 more source
Developed Zariski Topology-Graph
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, we introduce the developed Zariski topology-graph as- sociated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic properties of M and the ...
Hassanzadeh-Lelekaami Dawood +1 more
doaj +1 more source
Simplicial-Map Neural Networks Robust to Adversarial Examples
Mathematics, 2021 Broadly speaking, an adversarial example against a classification model occurs when a small perturbation on an input data point produces a change on the output label assigned by the model.
Eduardo Paluzo-Hidalgo +3 more
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Smith Theory for algebraic varieties
, 2004 We show how an approach to Smith Theory about group actions on CW-complexes using Bredon cohomology can be adapted to work for algebraic varieties.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt ...
Borel +9 more
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Nature Machine Intelligence, 2020 The ability to predict protein–protein interactions is crucial to our understanding of a wide range of biological activities and functions in the human body, and for guiding drug discovery.
Menglun Wang, Zixuan Cang, G. Wei
semanticscholar +1 more source
Rational homotopy type of projectivization of the tangent bundle of certain spaces [PDF]
Arab Journal of Mathematical SciencesPurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.Design/methodology ...
Jean Baptiste Gastinzi, Meshach Ndlovu
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The space of arcs of an algebraic variety
, 2017 The paper surveys several results on the topology of the space of arcs of an algebraic variety and the Nash problem on the arc structure of singularities.Comment: 29 pages; v3 corrects some typos.
de Fernex, Tommaso
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Advanced Intelligent Discovery, EarlyView.This 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 ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Review of Memristors for In‐Memory Computing and Spiking Neural Networks
Advanced Intelligent Systems, EarlyView.Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari +2 more
wiley +1 more source
Model comparison via simplicial complexes and persistent homology
Royal Society Open Science, 2021 In many scientific and technological contexts, we have only a poor understanding of the structure and details of appropriate mathematical models. We often, therefore, need to compare different models.
Sean T. Vittadello, Michael P. H. Stumpf
doaj +1 more source