In a Nature Communications study, researchers from China have developed an error-aware probabilistic update (EaPU) method ...
Abstract: In this article, we propose a symplectic finite-difference time-domain (SFDTD) algorithm to model magnetically biased anisotropic graphene. The Dirac delta function is employed to represent ...
Catharina Capitain and Melanie Schüßler from the Faculty of Geosciences at the University of Tübingen, Tübingen, Germany describe a novel approach using matrix-matched semiquantification to ...
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In this work, we describe the development of a new algorithm for the computation of ...
Researchers claim to have developed a new way to run AI language models more efficiently by eliminating matrix multiplication from the process. This fundamentally redesigns neural network operations ...
Abstract: A unified dispersive media and perfect matching layer (PML) finite-difference time-domain (FDTD) formulation based on the matrix exponential (ME) method is proposed for the simulation of ...
Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form ...
Graph Transformers (GTs) have successfully achieved state-of-the-art performance on various platforms. GTs can capture long-range information from nodes that are at large distances, unlike the local ...
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