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Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

To accelerate the process of materials design, materials science has increasingly used data driven techniques to extract information from collected data. Specially, machine learning (ML) algorithms, which span the ML discipline, have…

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

The structure-property relationship plays a central role in materials science. Understanding the structure-property relationship in solid-state materials is crucial for structure design with optimized properties. The past few years…

We propose a theoretical framework that generalizes simple and fast algorithms for hierarchical agglomerative clustering to weighted graphs with both attractive and repulsive interactions between the nodes. This framework defines GASP, a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Alberto Bailoni , Constantin Pape , Nathan Hütsch , Steffen Wolf , Thorsten Beier , Anna Kreshuk , Fred A. Hamprecht

Quantum Computing promises to solve complex combinatorial optimization problems more efficiently than classical methods, with the Quantum Approximate Optimization Algorithm (QAOA) being a leading candidate. Recent fixed-parameter variations…

Quantum Physics · Physics 2026-03-04 Rodrigo Coelho , Georg Kruse , Jeanette Miriam Lorenz

This paper proposes a novel hybrid neuro-symbolic framework for the optimal and scalable deployment of component-based applications in the Cloud. The challenge of efficiently mapping application components to virtual machines (VMs) across…

Logic in Computer Science · Computer Science 2025-12-01 Madalina Erascu

Machine learning (ML) has been increasingly applied in concrete research to optimize performance and mixture design. However, one major challenge in applying ML to cementitious materials is the limited size and diversity of available…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Mahmuda Sharmin , Taihao Han , Jie Huang , Narayanan Neithalath , Gaurav Sant , Aditya Kumar

Many disciplines of science and engineering deal with problems related to compositions, ranging from chemical compositions in materials science to portfolio compositions in economics. They exist in non-Euclidean simplex spaces, causing many…

Materials Science · Physics 2024-11-06 Adam M. Krajewski , Allison M. Beese , Wesley F. Reinhart , Zi-Kui Liu

Combinatorial optimization problems near algorithmic phase transitions represent a fundamental challenge for both classical algorithms and machine learning approaches. Among them, graph coloring stands as a prototypical constraint…

In recent years, molecular graph representation learning (GRL) has drawn much more attention in molecular property prediction (MPP) problems. The existing graph methods have demonstrated that 3D geometric information is significant for…

Machine Learning · Computer Science 2022-12-01 Hao Zhang , Nan Zhang , Ruixin Zhang , Lei Shen , Yingyi Zhang , Meng Liu

Machine learning has the potential to accelerate materials discovery by accurately predicting materials properties at a low computational cost. However, the model inputs remain a key stumbling block. Current methods typically use…

Computational Physics · Physics 2021-01-07 Rhys E. A. Goodall , Alpha A. Lee

With huge design spaces for unique chemical and mechanical properties, we remove a roadblock to computational design of {high-entropy alloys} using a metaheuristic hybrid Cuckoo Search (CS) for "on-the-fly" construction of Super-Cell Random…

Materials Science · Physics 2021-01-19 Rahul Singh , Aayush Sharma , Prashant Singh , Ganesh Balasubramanian , Duane D. Johnson

Structured sparse optimization is an important and challenging problem for analyzing high-dimensional data in a variety of applications such as bioinformatics, medical imaging, social networks, and astronomy. Although a number of structured…

Artificial Intelligence · Computer Science 2016-10-03 Baojian Zhou , Feng Chen

Neural combinatorial optimization (NCO) has gained significant attention due to the potential of deep learning to efficiently solve combinatorial optimization problems. NCO has been widely applied to job shop scheduling problems (JSPs) with…

Artificial Intelligence · Computer Science 2024-12-19 Igor G. Smit , Yaoxin Wu , Pavel Troubil , Yingqian Zhang , Wim P. M. Nuijten

In this work we design graph neural network architectures that capture optimal approximation algorithms for a large class of combinatorial optimization problems, using powerful algorithmic tools from semidefinite programming (SDP).…

Machine Learning · Computer Science 2024-10-08 Morris Yau , Nikolaos Karalias , Eric Lu , Jessica Xu , Stefanie Jegelka

Various machine learning models have been used to predict the properties of polycrystalline materials, but none of them directly consider the physical interactions among neighboring grains despite such microscopic interactions critically…

Materials Science · Physics 2021-07-16 Minyi Dai , Mehmet F. Demirel , Yingyu Liang , Jia-Mian Hu

Physics-inspired graph neural networks (PI-GNNs) have been utilized as an efficient unsupervised framework for relaxing combinatorial optimization problems encoded through a specific graph structure and loss, reflecting dependencies between…

Machine Learning · Computer Science 2025-10-24 Martin Krutský , Gustav Šír , Vyacheslav Kungurtsev , Georgios Korpas

Autonomous materials discovery with desired properties is one of the ultimate goals for materials science, and the current studies have been focusing mostly on high-throughput screening based on density functional theory calculations and…

For a very long time, computational approaches to the design of new materials have relied on an iterative process of finding a candidate material and modeling its properties. AI has played a crucial role in this regard, helping to…

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