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Graph transformation systems have the potential to be realistic models of chemistry, provided a comprehensive collection of reaction rules can be extracted from the body of chemical knowledge. A first key step for rule learning is the…

Discrete Mathematics · Computer Science 2016-04-22 Christoph Flamm , Daniel Merkle , Peter F. Stadler , Uffe Thorsen

Graph transformation formalisms have proven to be suitable tools for the modelling of chemical reactions. They are well established in theoretical studies and increasingly also in practical applications in chemistry. The latter is made…

Discrete Mathematics · Computer Science 2022-08-29 Jakob L. Andersen , Rolf Fagerberg , Juri Kolčák , Christophe V. F. P. Laurent , Daniel Merkle , Nikolai Nøjgaard

Machine learning has recently emerged as a powerful tool for generating new molecular and material structures. The success of state-of-the-art models stems from their ability to incorporate physical symmetries, such as translation,…

Machine Learning · Computer Science 2024-05-16 Bingqing Cheng

Mapping the chemical reaction pathways and their corresponding activation barriers is a significant challenge in molecular simulation. Given the inherent complexities of 3D atomic geometries, even generating an initial guess of these paths…

Computational Physics · Physics 2025-01-24 Akihide Hayashi , So Takamoto , Ju Li , Yuta Tsuboi , Daisuke Okanohara

Recent machine learning methods make it possible to model potential energy of atomic configurations with chemical-level accuracy (as calculated from ab-initio calculations) and at speeds suitable for molecular dynam- ics simulation. Best…

Computational Physics · Physics 2017-05-03 G. Ferré , T. Haut , K. Barros

The search for pathways that optimize the formation of a particular target molecule in a reaction network is a key problem in many settings, including reactor systems. Chemical reaction networks are mathematically well represented as…

Molecular Networks · Quantitative Biology 2025-06-17 Adittya Pal , Rolf Fagerberg , Jakob Lykke Andersen , Christoph Flamm , Peter Dittrich , Daniel Merkle

Mapping an atomistic configuration to an $N$-point correlation of a field associated with the atomic positions (e.g. an atomic density) has emerged as an elegant and effective solution to represent structures as the input of…

Chemical Physics · Physics 2020-10-07 Jigyasa Nigam , Sergey Pozdnyakov , Michele Ceriotti

Approximate subgraph matching (ASM) is a task that determines the approximate presence of a given query graph in a large target graph. Being an NP-hard problem, ASM is critical in graph analysis with a myriad of applications ranging from…

Machine Learning · Computer Science 2026-03-20 Kaiyang Li , Shihao Ji , Zhipeng Cai , Wei Li

Accurately modeling chemical reactions in molecular dynamics simulations requires detailed pre- and post-reaction templates, often created through labor-intensive manual workflows. This work introduces a Python-based algorithm that…

Computational Engineering, Finance, and Science · Computer Science 2025-07-24 Julian Konrad , Robert Meißner

Molecule representation learning (MRL) methods aim to embed molecules into a real vector space. However, existing SMILES-based (Simplified Molecular-Input Line-Entry System) or GNN-based (Graph Neural Networks) MRL methods either take…

Machine Learning · Computer Science 2021-09-23 Hongwei Wang , Weijiang Li , Xiaomeng Jin , Kyunghyun Cho , Heng Ji , Jiawei Han , Martin D. Burke

Based on the eigenvector continuation, which is mathematically an instance of the reduced basis method (RBM), we construct an emulator for coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb barrier.…

Nuclear Theory · Physics 2026-03-23 Zehong Liao , K. Hagino , Long Zhu , S. Yoshida , K. Uzawa

A lot of progress has been made in recent times for simulating accurately the ground state energy of small molecules and their potential energy surface, using quantum-classical hybrid computing architecture. While these single point energy…

Quantum Physics · Physics 2022-10-18 Nirmal M R , Shampa Sarkar , Manoj Nambiar , Sriram Goverapet Srinivasan

A chemical reaction mechanism (CRM) is a sequence of molecular-level events involving bond-breaking/forming processes, generating transient intermediates along the reaction pathway as reactants transform into products. Understanding such…

Chemical Physics · Physics 2024-07-16 Ajnabiul Hoque , Manajit Das , Mayank Baranwal , Raghavan B. Sunoj

A detailed algorithmic explanation is required for how a network of chemical reactions can generate the sophisticated behavior displayed by living cells. Though several previous works have shown that reaction networks are computationally…

Emerging Technologies · Computer Science 2018-04-25 Muppirala Viswa Virinchi , Abhishek Behera , Manoj Gopalkrishnan

Molecular simulations have assumed a paramount role in the fields of chemistry, biology, and material sciences, being able to capture the intricate dynamic properties of systems. Within this realm, coarse-grained (CG) techniques have…

Chemical Physics · Physics 2026-03-06 Daniele Angioletti , Stefano Raniolo , Vittorio Limongelli

Reinforcement learning (RL) over text representations can be effective for finding high-value policies that can search over graphs. However, RL requires careful structuring of the search space and algorithm design to be effective in this…

Machine Learning · Computer Science 2023-10-05 Raj Ghugare , Santiago Miret , Adriana Hugessen , Mariano Phielipp , Glen Berseth

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics. The original problem…

Dynamical Systems · Mathematics 2011-07-05 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

Modeling molecular potential energy surface is of pivotal importance in science. Graph Neural Networks have shown great success in this field. However, their message passing schemes need special designs to capture geometric information and…

Machine Learning · Computer Science 2023-04-24 Xiyuan Wang , Muhan Zhang

Given a Hamiltonian with a continuous symmetry one can generally factorize that symmetry and consider the dynamics on invariant Hilbert Spaces. In Statistical Mechanics this procedure is known as the vertex-IRF map, and in certain cases,…

Statistical Mechanics · Physics 2009-10-28 G. Sierra , T. Nishino

Modeling electronic systems is an important application for quantum computers. In the context of materials science, an important open problem is the computational description of chemical reactions on surfaces. In this work, we outline a…

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