Universal differential equations for glacier ice flow modelling

J Bolibar, F Sapienza, F Maussion… - Geoscientific Model …, 2023 - gmd.copernicus.org
Geoscientific models are facing increasing challenges to exploit growing datasets coming
from remote sensing. Universal Differential Equations (UDEs), aided by differentiable …

Differentiable Programming for Differential Equations: A Review

F Sapienza, J Bolibar, F Schäfer, B Groenke… - arXiv preprint arXiv …, 2024 - arxiv.org
The differentiable programming paradigm is a cornerstone of modern scientific computing. It
refers to numerical methods for computing the gradient of a numerical model's output. Many …

Physics-Informed Machine Learning for the Earth Sciences: Applications to Glaciology and Paleomagnetism

FF Sapienza - 2024 - search.proquest.com
This dissertation studies the application of machine learning in the fields of Glaciology and
Paleomagnetism. In the past few years, there have been significant advances in introducing …

Scrutinizing Variables for Checkpoint Using Automatic Differentiation

X Huang, W Xu, S Meng, W Zhang, X Fu, L Guo, K Sato - conferences.computer.org
We propose a systematic approach that leverages automatic differentiation (AD) to scrutinize
every element within variables (eg, arrays) necessary for checkpointing. This allows us to …