Vlasov DynamicsEnergy conservationConservative SVDLoMaCIn this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method for simulating the Vlasov-Poisson (VP) system. The LoMaC property refers to the exact local conservation of macroscopic mass, momentum and energy at...
Shaping dynamics with multiple populations in low-rank recurrent networks. Neural Comput. 33, 1572 (2021). Article MathSciNet PubMed Google Scholar Gao, P. & Ganguli, S. On simplicity and complexity in the brave new world of large-scale neuroscience. Curr. Opin. Neurobiol. 32, 148 (2015...
The motivation for this study comes from the usefulness of separating invariants in proving universality of equivariant neural network architectures. We observe that in several cases the cardinality of separating invariants proposed in the machine learning literature is much larger than the dimension D. ...
Tensor component analysis (TCA) allows single-trial neural dimensionality reduction • TCA reveals structure spanning multiple timescales from cognition to learning • TCA demixes data: features learned from neural data alone directly match behavior • TCA uncovers cell types with common dynamics tha...
回笼早教艺术家:SNN系列文章1——A Synapse-Threshold Synergistic Learning Approach for Spiking Neural Networks 回笼早教艺术家:SNN系列文章2——Pruning of Deep Spiking Neural Networks through Gradient…
We used MATLAB (version 24.1) for preprocessing the neural activity data (Section 2.2) and analyzing the population data (2.3 Dimensionality estimation within single populations, 2.4 Tensor decomposition within single populations, 2.5 Non-negative reduced-rank regression (NNRRR) of population firing ...
3D Point Cloud Registration for Localization Using a Deep Neural Network Auto-Encoder Gil Elbaz, Tamar Avraham, Anath Fischer Flight Dynamics-Based Recovery of a UAV Trajectory Using Ground Cameras Artem Rozantsev, Sudipta N. Sinha, Debadeepta Dey, Pascal Fua ...
and energy at the discrete level.The recently developed LoMaC low rank tensor algorithm(arXiv:2207.00518)simultaneously evolves the macroscopic conservation laws of mass,momentum,and energy using the kinetic flux vector splitting;then the LoMaC property is realized by projecting...
It is worth noting that, on the CMDC dataset, although there are some misclassifica- tions, the model performs well in terms of the AUC metric, reaching the highest value of 1, indicating that the model can perfectly rank positive instances ahead of negative instances, showing a high ...
Fracture dynamics of hydrogen assisted cracking of a low alloy steel estimated by AE source characterization and moment tensor analysis: Takemoto, Makoto; Hayashi, Yasuhisa; Takemoto, Mikio Journal of JSNDI, Vol. 43, No. 10 (October 1994) p. 637...