Results 61 to 70 of about 556,147 (204)
Topological Data Analysis: Foundations, Algorithms, and Emerging Applications
MathematicsTopological data analysis (TDA) has evolved into a flexible and robust paradigm for obtaining qualitative, geometry-inspired insights from high-dimensional, noisy, and complex data.
Dimitrios Georgiou +2 more
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Constructive algebraic topology [PDF]
ACM SIGSAM Bulletin, 1999 The classical “computation” methods in Algebraic Topology most often work by means of highly infinite objects and in fact are not constructive. Typical examples are shown to describe the nature of the problem. The Rubio–Sergeraert solution for Constructive Algebraic Topology is recalled.
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Algebraic Tracking Network Topology Processor for Modern Power Systems
IEEE AccessThe growing deployment of Phasor Measurement Units (PMUs) in Electric Power Systems (EPSs) has led status measurements from switchable devices to be transmitted at high sampling rates, enabling rapid detection of switching events and continuous topology ...
Gustavo Da S. P. Rondon +3 more
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Measurement Science Review, 2019 In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus.
Raposo Álvaro P.
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Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set
Journal of Hebei University of Science and Technology, 2015 Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space.
Suqian ZHAO
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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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On the second spectrum of lattice modules
Discussiones Mathematicae - General Algebra and Applications, 2017 The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is
Phadatare Narayan +2 more
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Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms.
Satirad Akarachai, Iampan Aiyared
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Soft ComputingIn this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T0-space and T1-space and connectedness. Moreover, we express the relation between closed and compact sets in this topology.
H. Khajeh Nasir +2 more
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On the topology of planar algebraic curves [PDF]
Proceedings of the twenty-fifth annual symposium on Computational geometry, 2009 We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of singular and critical points, is also relevant. A challenge is to compute efficiently this information for the given coordinate system even if the curve is not in generic ...
Cheng, Jinsan +5 more
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