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While molecular machines play an increasingly significant role in nanoscience research and applications, there remains a shortage of investigations and understanding of the molecular gear (cogwheel), which is an indispensable and…

Chemical Physics · Physics 2018-02-07 Rundong Zhao , Yan-Ling Zhao , Fei Qi , Klaus Hermann , Rui-Qin Zhang , Michel A. Van Hove

An elementary understanding of the relevant length, mass and energy scales at the molecular level can be used to explain the order of magnitude of material properties such as mass density, latent heat, surface tension, elastic moduli and…

Physics Education · Physics 2014-02-26 Andrew Lucas

Molecular dynamics simulations provide theoretical insight into the microscopic behavior of materials in condensed phase and, as a predictive tool, enable computational design of new compounds. However, because of the large temporal and…

Chemical Physics · Physics 2020-06-18 Wujie Wang , Rafael Gómez-Bombarelli

Machine learning, particularly graph learning, is gaining increasing recognition for its transformative impact across various fields. One such promising application is in the realm of molecule design and discovery, notably within the…

Machine Learning · Computer Science 2024-01-10 Nianzu Yang , Huaijin Wu , Kaipeng Zeng , Yang Li , Junchi Yan

Molecular machine learning (ML) has proven important for tackling various molecular problems, such as predicting molecular properties based on molecular descriptors or fingerprints. Since relatively recently, graph neural network (GNN)…

Machine Learning · Computer Science 2023-09-06 Alexander Kensert , Gert Desmet , Deirdre Cabooter

Recent advances in computational modelling of atomic systems, spanning molecules, proteins, and materials, represent them as geometric graphs with atoms embedded as nodes in 3D Euclidean space. In these graphs, the geometric attributes…

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

Prediction of solubility has been a complex and challenging physiochemical problem that has tremendous implications in the chemical and pharmaceutical industry. Recent advancements in machine learning methods have provided great scope for…

Disordered Systems and Neural Networks · Physics 2024-02-20 Vansh Ramani , Tarak Karmakar

The purpose of this review is to introduce the reader to graph kernels and the corresponding literature, with an emphasis on those with direct application to chemoinformatics. Graph kernels are functions that allow for the inference of…

Machine Learning · Statistics 2022-08-29 James Young

Graph transformation is concerned with the manipulation of graphs by means of rules. Graph grammars have been traditionally studied using techniques from category theory. In previous works, we introduced Matrix Graph Grammars (MGGs) as a…

Discrete Mathematics · Computer Science 2009-02-06 Pedro Pablo Perez Velasco , Juan de Lara

Molecular representation learning is crucial for the problem of molecular property prediction, where graph neural networks (GNNs) serve as an effective solution due to their structure modeling capabilities. Since labeled data is often…

Machine Learning · Computer Science 2023-09-26 Cameron Diao , Kaixiong Zhou , Zirui Liu , Xiao Huang , Xia Hu

Binding and unbinding of ligands to specific sites of a macromolecule are one of the most elementary molecular interactions inside the cell that embody the computational processes of biological regulations. The interaction between…

Molecular Networks · Quantitative Biology 2011-11-10 Hidenori Kimura , Hiroyuki Okano , Reiko J. Tanaka

A parameterization strategy for molecular models on the basis of force fields is proposed, which allows a rapid development of models for small molecules by using results from quantum mechanical (QM) ab initio calculations and thermodynamic…

Chemical Physics · Physics 2009-04-22 Bernhard Eckl , Jadran Vrabec , Hans Hasse

Molecule representation learning is crucial for understanding and predicting molecular properties. However, conventional atom-centric models, which treat chemical bonds merely as pairwise interactions, often overlook complex bond-level…

Machine Learning · Computer Science 2026-03-03 Yunqing Liu , Yi Zhou , Wenqi Fan

Graph coarsening is a technique for solving large-scale graph problems by working on a smaller version of the original graph, and possibly interpolating the results back to the original graph. It has a long history in scientific computing…

Machine Learning · Computer Science 2023-06-16 Yifan Chen , Rentian Yao , Yun Yang , Jie Chen

We present a hierarchical neural message passing architecture for learning on molecular graphs. Our model takes in two complementary graph representations: the raw molecular graph representation and its associated junction tree, where nodes…

Machine Learning · Computer Science 2020-06-23 Matthias Fey , Jan-Gin Yuen , Frank Weichert

It is common practice for chemists to search chemical databases based on substructures of compounds for finding molecules with desired properties. The purpose of de novo molecular generation is to generate instead of search. Existing…

Chemical Physics · Physics 2021-02-10 Ryuichiro Hataya , Hideki Nakayama , Kazuki Yoshizoe

For many materials, a precise knowledge of their dispersion spectra is insufficient to predict their ordered phases and physical responses. Instead, these materials are classified by the geometrical and topological properties of their…

Materials Science · Physics 2021-06-16 Qiong Ma , Adolfo G. Grushin , Kenneth S. Burch

Machine learning plays an increasingly important role in many areas of chemistry and materials science, e.g. to predict materials properties, to accelerate simulations, to design new materials, and to predict synthesis routes of new…

Molecular representation learning plays a crucial role in various downstream tasks, such as molecular property prediction and drug design. To accurately represent molecules, Graph Neural Networks (GNNs) and Graph Transformers (GTs) have…

Machine Learning · Computer Science 2025-02-07 Jingjing Hu , Dan Guo , Zhan Si , Deguang Liu , Yunfeng Diao , Jing Zhang , Jinxing Zhou , Meng Wang