Sparse matrix-vector products (SpMVs) are a bottleneck in many scientific codes. Due to the heavy strain on the main memory interface from loading the sparse matrix and the possibly irregular memory access pattern, Sp...
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Graph neural networks are designed to learn functions on graphs. Typically, the relevant target functions are invariant with respect to actions by permutations. Therefore the design of some graph neural network archit...
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Graph neural networks are designed to learn functions on graphs. Typically, the relevant target functions are invariant with respect to actions by permutations. Therefore the design of some graph neural network architectures has been inspired by graph-isomorphism algorithms. The classical Weisfeiler-Lehman algorithm (WL)-a graph-isomorphism test based on color refinement-became relevant to the study of graph neural networks. The WL test can be generalized to a hierarchy of higher-order tests, known as k-WL. This hierarchy has been used to characterize the expressive power of graph neural networks, and to inspire the design of graph neural network architectures.A few variants of the WL hierarchy appear in the literature. The goal of this short note is pedagogical and practical: We explain the differences between the WL and folklore-WL formulations, with pointers to existing discussions in the literature. We illuminate the differences between the formulations by visualizing an example.
The present work discusses a non-synthetic strategy to achieve a favorable thermoelectric response in pentacene via strain. It is found that a uni-axial strain is capable of inducing spatial anisotropy in the molecule...
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This article is aimed at describing the way rotation and magnetic field affect the propagation of waves in an infinite poroelastic cylindrical *** offers a solution with an exact closed *** authors got and examined nu...
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This article is aimed at describing the way rotation and magnetic field affect the propagation of waves in an infinite poroelastic cylindrical *** offers a solution with an exact closed *** authors got and examined numerically the general frequency equation for poroelastic ***,they calculated the frequencies of poroelastic bone for different values of the magnetic field and *** the results of previous studies,the authors noticed little frequency dispersion in the wet *** proposed model will be applicable to wide-range parametric projects of bone mechanical *** the vibration of surface waves in rotating cylindrical,long human bones under the magnetic field can have an *** findings of the study are offered in ***,a comparison with the results of the literature is conducted to show the effect of rotation and magnetic field on the wave propagation *** is worth noting that the results of the study highly match those of the literature.
The quantum relative entropy is a fundamental quantity in quantum information science, characterizing the distinguishability between two quantum states. However, this quantity is not additive in general for correlated...
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In industry, steel wire rope (SWR) is a key load-bearing component, the damage or breakage of which may cause serious safety accidents. Therefore, in order to avoid the breakage of SWR, it is necessary to carry out fr...
In industry, steel wire rope (SWR) is a key load-bearing component, the damage or breakage of which may cause serious safety accidents. Therefore, in order to avoid the breakage of SWR, it is necessary to carry out frequent SWR inspection and timely replace the SWR with potential problems. Magnetic flux leakage (MFL) detection is currently one of the most promising SWR detection technique. However, the existing MFL detection methods rely on model-based denoising methods and low-intelligence localization methods, when facing serious noise interference, the effectiveness of the existing methods can be affected. To solve this problem, a detection method based on MFL imaging algorithm and YOLOv5 network is proposed in this paper. The results show that the detection method proposed in this paper outperforms existing model-based detection methods, solving the problem of low detection accuracy under severe noise condition.
In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the ...
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The generalized stacking-fault energy (GSFE) is the fundamental but key parameter for the plastic deformation of materials. We perform first-principles calculations by full-potential linearized augmented planewave (FL...
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We present a variational expression for measured f -divergences for convex functions f . Under a suitable operator convexity condition, this variational expression leads to a convex optimization problem recovering the...
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The formation of aerosol particles in the atmosphere impacts air quality and climate change, but many of the organic molecules involved remain unknown. Machine learning could aid in identifying these compounds through...
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