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Deep-learning-based surrogate models provide an efficient complement to numerical simulations for subsurface flow problems such as CO$_2$ geological storage. Accurately capturing the impact of faults on CO$_2$ plume migration remains a…

Machine Learning · Computer Science 2023-06-19 Xin Ju , François P. Hamon , Gege Wen , Rayan Kanfar , Mauricio Araya-Polo , Hamdi A. Tchelepi

Diffusion kernels over graphs have been widely utilized as effective tools in various applications due to their ability to accurately model the flow of information through nodes and edges. However, there is a notable gap in the literature…

Numerical Analysis · Mathematics 2026-04-15 Giuseppe Alessio D'Inverno , Kylian Ajavon , Simone Brugiapaglia

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

Machine Learning · Statistics 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

Sampling-based path planning is a widely used method in robotics, particularly in high-dimensional state space. Among the whole process of the path planning, collision detection is the most time-consuming operation. In this paper, we…

Robotics · Computer Science 2023-11-23 Xingrong Diao , Wenzheng Chi , Jiankun Wang

During the design cycle of safety critical vehicle components such as B-pillars, crashworthiness performance is a key metric for passenger protection assessment in vehicle accidents. Traditional finite element simulations for…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Haoran Li , Yingxue Zhao , Haosu Zhou , Tobias Pfaff , Nan Li

As urban environments grow, the modelling of transportation systems becomes increasingly complex. This paper advances the field of travel demand modelling by introducing advanced Graph Neural Network (GNN) architectures as surrogate models,…

Machine Learning · Computer Science 2025-03-21 Nikita Makarov , Santhanakrishnan Narayanan , Constantinos Antoniou

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

Machine Learning · Computer Science 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

Accurate prediction of project duration and cost remains one of the most challenging aspects of project management, particularly in resource-constrained and interdependent task networks. Traditional analytical techniques such as the…

Applications · Statistics 2025-11-20 Reza Mirjalili , Behrad Braghi , Shahram Shadrokh Sikari

Graphs are increasingly becoming ubiquitous as models for structured data. A generative model that closely mimics the structural properties of a given set of graphs has utility in a variety of domains. Much of the existing work require that…

Social and Information Networks · Computer Science 2019-02-25 Revanth Reddy , Sarath Chandar , Balaraman Ravindran

Document structure analysis, such as zone segmentation and table recognition, is a complex problem in document processing and is an active area of research. The recent success of deep learning in solving various computer vision and machine…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Shah Rukh Qasim , Hassan Mahmood , Faisal Shafait

Aerodynamic optimization is crucial for developing eco-friendly, aerodynamic, and stylish cars, which requires close collaboration between aerodynamicists and stylists, a collaboration impaired by the time-consuming nature of aerodynamic…

Machine Learning · Computer Science 2025-08-05 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

Machine Learning · Computer Science 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

With the growing computational power available for high-resolution ensemble simulations in scientific fields such as cosmology and oceanology, storage and computational demands present significant challenges. Current surrogate models fall…

Graphics · Computer Science 2025-04-22 Yi-Tang Chen , Haoyu Li , Neng Shi , Xihaier Luo , Wei Xu , Han-Wei Shen

We explore the possibility of fully replacing a plasma physics kinetic simulator with a graph neural network-based simulator. We focus on this class of surrogate models given the similarity between their message-passing update mechanism and…

Plasma Physics · Physics 2024-05-31 Diogo D Carvalho , Diogo R Ferreira , Luis O Silva

We introduce a novel hybrid methodology combining classical finite element methods (FEM) with neural networks to create a well-performing and generalizable surrogate model for forward and inverse problems. The residual from finite element…

Computational Engineering, Finance, and Science · Computer Science 2022-05-18 Rishith Ellath Meethal , Birgit Obst , Mohamed Khalil , Aditya Ghantasala , Anoop Kodakkal , Kai-Uwe Bletzinger , Roland Wüchner

Graph Neural Networks (GNNs) have become the leading paradigm for learning on (static) graph-structured data. However, many real-world systems are dynamic in nature, since the graph and node/edge attributes change over time. In recent…

Neural architecture search enables automation of architecture design. Despite its success, it is computationally costly and does not provide an insight on how to design a desirable architecture. Here we propose a new way of searching neural…

Machine Learning · Computer Science 2021-12-16 Zhenhan Huang , Chunheng Jiang , Pin-Yu Chen , Jianxi Gao

Graph learning is naturally well suited for use in symbolic, object-centric planning due to its ability to exploit relational structures exhibited in planning domains and to take as input planning instances with arbitrary numbers of…

Artificial Intelligence · Computer Science 2025-01-08 Dillon Z. Chen , Sylvie Thiébaux

This paper presents an innovative method for predicting shape errors in 5-axis machining using graph neural networks. The graph structure is defined with nodes representing workpiece surface points and edges denoting the neighboring…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Julia Huuk , Abheek Dhingra , Eirini Ntoutsi , Berend Denkena

Recent developments in Machine Learning approaches for modelling physical systems have begun to mirror the past development of numerical methods in the computational sciences. In this survey, we begin by providing an example of this with…

Machine Learning · Computer Science 2023-04-04 Artur P. Toshev , Ludger Paehler , Andrea Panizza , Nikolaus A. Adams