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pro vyhledávání: '"Bassi, Hardeep"'
For any linear system where the unreduced dynamics are governed by unitary propagators, we derive a closed, time-delayed, linear system for a reduced-dimensional quantity of interest. We apply this method to understand the memory-dependence of $1$-el
Externí odkaz:
http://arxiv.org/abs/2403.15596
Autor:
Bassi, Hardeep, Zhu, Yuanran, Liang, Senwei, Yin, Jia, Reeves, Cian C., Vlcek, Vojtech, Yang, Chao
In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs). The LSTM-RNN representation of the nonlin
Externí odkaz:
http://arxiv.org/abs/2310.09434
Autor:
Bassi, Hardeep, Zhu, Yuanran, Liang, Senwei, Yin, Jia, Reeves, Cian C., Vlček, Vojtěch, Yang, Chao
Publikováno v:
In Machine Learning with Applications March 2024 15
Suppose we are given a system of coupled oscillators on an unknown graph along with the trajectory of the system during some period. Can we predict whether the system will eventually synchronize? Even with a known underlying graph structure, this is
Externí odkaz:
http://arxiv.org/abs/2012.14048
Autor:
Bassi, Hardeep1 (AUTHOR), Yim, Richard P.2 (AUTHOR), Vendrow, Joshua3 (AUTHOR), Koduluka, Rohith3 (AUTHOR), Zhu, Cherlin4 (AUTHOR), Lyu, Hanbaek5 (AUTHOR) hlyu@math.wisc.edu
Publikováno v:
Scientific Reports. 9/5/2022, Vol. 12 Issue 1, p1-15. 15p.