Estimating position-dependent and anisotropic diffusivity tensors from molecular dynamics trajectories: Existing methods and future outlook

TS Domingues, R Coifman… - Journal of Chemical …, 2024 - ACS Publications
Confinement can substantially alter the physicochemical properties of materials by breaking
translational isotropy and rendering all physical properties position-dependent. Molecular …

Approximation Bounds for Recurrent Neural Networks with Application to Regression

Y Jiao, Y Wang, B Yan - arXiv preprint arXiv:2409.05577, 2024 - arxiv.org
We study the approximation capacity of deep ReLU recurrent neural networks (RNNs) and
explore the convergence properties of nonparametric least squares regression using RNNs …

Learning dynamical models from stochastic trajectories

P Ronceray - arXiv preprint arXiv:2406.02363, 2024 - arxiv.org
The dynamics of biological systems, from proteins to cells to organisms, is complex and
stochastic. To decipher their physical laws, we need to bridge between experimental …