Results 11 to 20 of about 61,017 (304)
On an atomic decomposition in Banach spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established.
Telman Gasymov, Chingiz Hashimov
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Two-Stage Atomic Decomposition of Multichannel EEG and the Previously Undetectable Sleep Spindles [PDF]
SensorsWe propose a two-step procedure for atomic decomposition of multichannel EEGs, based upon multivariate matching pursuit and dipolar inverse solution, from which atoms representing relevant EEG structures are selected according to prior knowledge.
Piotr Durka +3 more
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SparsePool: A Graph Pooling Framework via Sparse Representation for Graph Classification [PDF]
SensorsGraph neural networks (GNNs) have achieved great success in graph classification, with graph pooling methods being widely adopted for related tasks. Existing approaches typically rely on node ranking or clustering to coarsen graphs, but often fail to ...
Zehan Li +4 more
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Atomic decomposition of characters and crystals
Advances in Mathematics, 2021 Lascoux stated that the type A Kostka-Foulkes polynomials K_{lambda,mu}(t) expand positively in terms of so-called atomic polynomials. For any semisimple Lie algebra, the former polynomial is a t-analogue of the multiplicity of the dominant weight mu in the irreducible representation of highest weight lambda.
Lecouvey, Cédric, Lenart, Cristian
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Modular Structures and Atomic Decomposition in Ontologies
Journal of Artificial Intelligence Research, 2020 With the growth of ontologies used in diverse application areas, the need for module extraction and modularisation techniques has risen. The notion of the modular structure of an ontology, which comprises a suitable set of base modules together with their logical dependencies, has the potential to help users and developers in comprehending, sharing ...
Del Vescovo, Chiara +5 more
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Atomic Formulation of the Boolean Curve Fitting Problem [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 Boolean curve fitting is the process of finding a Boolean function that takes given values at certain points in its Boolean domain. The problem boils down to solving a set of ‘big’ Boolean equations that may or may not be consistent.
Ahmed S. Balamesh, Ali M. Rushdi
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On generalized Hardy spaces associated with singular partial differential operators
Cubo, 2023 We define and study the Hardy spaces associated with singular partial differential operators. Also, a characterization by mean of atomic decomposition is investigated.
Amal Ghandouri +2 more
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Approximative K-atomic decompositions and frames in Banach spaces [PDF]
Arab Journal of Mathematical Sciences, 2020 L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an operator, in Hilbert spaces, which is significant in frame theory and has many applications.
Shah Jahan
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Remote Sensing, 2022 Smart noise jamming is a new jamming style against radar, which plays an important role in modern radar electronic warfare. In order to solve the complex problem of convolutional smart noise jamming suppression with different time delay and jamming ...
Zhidong Liu, Qun Zhang, Kaiming Li
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Properties of Module Notions and Atomic Decomposition [PDF]
Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning, 2021 Various properties of ontology modules have been studied, such as coverage, self-containment, depletingness, monotonicity, preservation of justifications. These properties are important from a theoretical and practical point of view because they ensure, e.g., that modules have meaningful interfaces, can be used for ontology debugging, or are suitable ...
Robin Nolte, Thomas Schneider 0002
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