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Two-Stage Atomic Decomposition of Multichannel EEG and the Previously Undetectable Sleep Spindles [PDF]

open access: yesSensors
We 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
doaj   +2 more sources

Atomic decompositions of Lorentz martingale spaces and applications

open access: yesJournal of Function Spaces and Applications, 2009
In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded.
Jiao Yong, Peng Lihua, Liu Peide
doaj   +2 more sources

Active nitrogen mediated selective ruthenium migration on ceria for high pressure ammonia decomposition [PDF]

open access: yesNature Communications
Precise stabilization of atomic structures under reaction environments remains a central challenge in heterogeneous catalysis. Here, we demonstrate that ammonia (NH3) serves as a chemically active nitrogen source to derive the selective migration of ...
Gunjoo Kim   +16 more
doaj   +2 more sources

SparsePool: A Graph Pooling Framework via Sparse Representation for Graph Classification [PDF]

open access: yesSensors
Graph 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
doaj   +2 more sources

Atomic Formulation of the Boolean Curve Fitting Problem [PDF]

open access: yesInternational 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
doaj   +1 more source

On generalized Hardy spaces associated with singular partial differential operators

open access: yesCubo, 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
doaj   +1 more source

A Smart Noise Jamming Suppression Method Based on Atomic Dictionary Parameter Optimization Decomposition

open access: yesRemote 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
doaj   +1 more source

Approximative K-atomic decompositions and frames in Banach spaces [PDF]

open access: yesArab 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
doaj   +1 more source

Variable Anisotropic Hardy Spaces with Variable Exponents

open access: yesAnalysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen   +3 more
doaj   +1 more source

Atomic-scale imaging of CH3NH3PbI3 structure and its decomposition pathway

open access: yesNature Communications, 2021
The knowledge of atomic structure and structural instability of hybrid perovskites is crucial to understand their photoelectric properties and failure mechanism. Here, the authors utilise low-dose TEM imaging technique to investigate the atomic structure
Shulin Chen   +15 more
doaj   +1 more source

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