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Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

This work proposes a Graph Neural Network (GNN) modeling approach to predict the resulting surface from a particle based fabrication process. The latter consists of spray-based printing of cementitious plaster on a wall and is facilitated…

Computational Engineering, Finance, and Science · Computer Science 2025-04-01 Diego Machain Rivera , Selen Ercan Jenny , Ping Hsun Tsai , Ena Lloret-Fritschi , Luis Salamanca , Fernando Perez-Cruz , Konstantinos E. Tatsis

Materials discovery, especially for applications that require extreme operating conditions, requires extensive testing that naturally limits the ability to inquire the wealth of possible compositions. Machine Learning (ML) has nowadays a…

Materials Science · Physics 2023-06-21 Dario Massa , Daniel Cieśliński , Amirhossein Naghdi , Stefanos Papanikolaou

This paper presents a novel learning-based approach to construct a surrogate problem that approximates a given parametric nonconvex optimization problem. The surrogate function is designed to be the minimum of a finite set of functions,…

Optimization and Control · Mathematics 2026-04-08 Renzi Wang , Panagiotis Patrinos , Alberto Bemporad

Graph neural network (GNN)-based fault diagnosis (FD) has received increasing attention in recent years, due to the fact that data coming from several application domains can be advantageously represented as graphs. Indeed, this particular…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Zhiwen Chen , Jiamin Xu , Cesare Alippi , Steven X. Ding , Yuri Shardt , Tao Peng , Chunhua Yang

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

Machine Learning · Computer Science 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

Machine Learning · Computer Science 2022-09-13 Said Kerrache , Hafida Benhidour

Graphs are general and powerful data representations which can model complex real-world phenomena, ranging from chemical compounds to social networks; however, effective feature extraction from graphs is not a trivial task, and much work…

In this work, we propose to employ information-geometric tools to optimize a graph neural network architecture such as the graph convolutional networks. More specifically, we develop optimization algorithms for the graph-based…

Machine Learning · Computer Science 2020-08-25 Mohammad Rasool Izadi , Yihao Fang , Robert Stevenson , Lizhen Lin

In the past years, predictive process monitoring (PPM) techniques based on artificial neural networks have evolved as a method to monitor the future behavior of business processes. Existing approaches mostly focus on interpreting the…

Machine Learning · Computer Science 2025-03-06 Attila Lischka , Simon Rauch , Oliver Stritzel

The simulation of complex physical systems using a discretized mesh is a cornerstone of applied mechanics, but traditional numerical solvers are often computationally prohibitive for many-query tasks. While Graph Neural Networks (GNNs) have…

Machine Learning · Computer Science 2025-09-24 Kangzheng Liu , Leixin Ma

Optimizing the locations of multiple CO2 injection wells will be essential as we proceed from demonstration-scale to large-scale carbon storage operations. Well placement optimization is, however, a computationally intensive task because…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Haoyu Tang , Louis J. Durlofsky

Despite recent advances in representation learning in hypercomplex (HC) space, this subject is still vastly unexplored in the context of graphs. Motivated by the complex and quaternion algebras, which have been found in several contexts to…

Machine Learning · Computer Science 2022-02-22 Tuan Le , Marco Bertolini , Frank Noé , Djork-Arné Clevert

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

Many scientific and engineering processes produce spatially unstructured data. However, most data-driven models require a feature matrix that enforces both a set number and order of features for each sample. They thus cannot be easily…

Machine Learning · Computer Science 2021-09-30 Francis Ogoke , Kazem Meidani , Amirreza Hashemi , Amir Barati Farimani

In recent years, machine learning and deep learning approaches such as artificial neural networks have gained in popularity for the resolution of automatic puzzle resolution problems. Indeed, these methods are able to extract high-level…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Cecilia Ostertag , Marie Beurton-Aimar

Graph Neural Networks (GNNs) have emerged as transformative tools for modeling complex relational data, offering unprecedented capabilities in tasks like forecasting and optimization. This study investigates the application of GNNs to…

Machine Learning · Computer Science 2025-01-14 Chi-Sheng Chen , Ying-Jung Chen

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

With the unprecedented proliferation of machine learning software, there is an ever-increasing need to generate efficient code for such applications. State-of-the-art deep-learning compilers like TVM and Halide incorporate a learning-based…

Machine Learning · Computer Science 2021-08-31 Shikhar Singh , Benoit Steiner , James Hegarty , Hugh Leather

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem
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