Graph-Informed Neural Networks for Regressions on Graph-Structured Data

Layer-wise relevance propagation for backbone identification in discrete fracture networks

(2021) Stefano Berrone et al.   Journal of Computational Science

Neural networks for power flow: Graph neural solver

(2020) Balthazar Donon et al.   ELECTRIC POWER SYSTEMS RESEARCH

A Comprehensive Survey on Graph Neural Networks

(2020) Zonghan Wu et al.   IEEE Transactions on Neural Networks and Learning Systems

Model reduction for fractured porous media: a machine learning approach for identifying main flow pathways

(2019) Shriram Srinivasan et al.   COMPUTATIONAL GEOSCIENCES

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fracture size and transmissivity correlations: Implications for transport simulations in sparse three-dimensional discrete fracture networks following a truncated power law distribution of fracture size

(2016) J. D. Hyman et al.   WATER RESOURCES RESEARCH

The α-maximum flow model with uncertain capacities

(2015) Sibo Ding   APPLIED MATHEMATICAL MODELLING

An optimization approach for large scale simulations of discrete fracture network flows

(2013) Stefano Berrone et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method

(2013) Stefano Berrone et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows

(2013) Stefano Berrone et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Neural Network for Graphs: A Contextual Constructive Approach

(2009) A. Micheli   IEEE TRANSACTIONS ON NEURAL NETWORKS

The Graph Neural Network Model

(2008) F. Scarselli et al.   IEEE TRANSACTIONS ON NEURAL NETWORKS