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Geometric, topological and graph theory modeling and analysis of biomolecules are of essential importance in the conceptualization of molecular structure, function, dynamics, and transport. On the one hand, geometric modeling provides…

Biomolecules · Quantitative Biology 2016-12-07 Kelin Xia , Guo-Wei Wei

The geometry of atomic arrangement underpins the structural understanding of molecules in many fields. However, no general framework of mathematical/computational theory for the geometry of atomic arrangement exists. Here we present…

Molecular "fingerprints" encoding structural information are the workhorse of cheminformatics and machine learning in drug discovery applications. However, fingerprint representations necessarily emphasize particular aspects of the…

Machine Learning · Statistics 2016-08-26 Steven Kearnes , Kevin McCloskey , Marc Berndl , Vijay Pande , Patrick Riley

Molecular representation is a critical element in our understanding of the physical world and the foundation for modern molecular machine learning. Previous molecular machine learning models have employed strings, fingerprints, global…

Machine Learning · Computer Science 2025-05-28 Daniil A. Boiko , Thiago Reschützegger , Benjamin Sanchez-Lengeling , Samuel M. Blau , Gabe Gomes

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

A molecule's geometry, also known as conformation, is one of a molecule's most important properties, determining the reactions it participates in, the bonds it forms, and the interactions it has with other molecules. Conventional…

Machine Learning · Computer Science 2020-01-01 Elman Mansimov , Omar Mahmood , Seokho Kang , Kyunghyun Cho

Graphs are central to the chemical sciences, providing a natural language to describe molecules, proteins, reactions, and industrial processes. They capture interactions and structures that underpin materials, biology, and medicine. This…

Graphs are ubiquitous data structures for representing interactions between entities. With an emphasis on the use of graphs to represent chemical molecules, we explore the task of learning to generate graphs that conform to a distribution…

Machine Learning · Computer Science 2019-03-08 Qi Liu , Miltiadis Allamanis , Marc Brockschmidt , Alexander L. Gaunt

Graph Neural Networks (GNNs) have been widely employed for feature representation learning in molecular graphs. Therefore, it is crucial to enhance the expressiveness of feature representation to ensure the effectiveness of GNNs. However, a…

Machine Learning · Computer Science 2024-09-16 Chengyu Yao , Hong Huang , Hang Gao , Fengge Wu , Haiming Chen , Junsuo Zhao

In order to define the process of restrosynthesis of a new organic molecule, it is often necessary to be able to draw inspiration from that of a molecule similar to the target one of which we know such a process. To compute such a…

Data Structures and Algorithms · Computer Science 2018-07-13 Stéfi Nouleho , Dominique Barth , Franck Quessette , Marc-Antoine Weisser , Dimitri Watel , Olivier David

Understanding the geometry and topology of configuration or conformational spaces of molecules has relevant applications in chemistry and biology such as the proteins folding problem, drug design and the structure activity relationship…

Quantitative Methods · Quantitative Biology 2019-07-19 Ingrid Membrillo-Solis , Mariam Pirashvili , Lee Steinberg , Jacek Brodzki , Jeremy G. Frey

We have applied the graph theory to estimation of interactions between electronic excitations in molecular crystals. Intramolecular and intermolecular excitations have been considered. The intermolecular interactions contain molecular…

Chemical Physics · Physics 2015-01-20 Hiroya Nitta , Isao Kawata

We view molecular optimization as a graph-to-graph translation problem. The goal is to learn to map from one molecular graph to another with better properties based on an available corpus of paired molecules. Since molecules can be…

Machine Learning · Computer Science 2019-01-30 Wengong Jin , Kevin Yang , Regina Barzilay , Tommi Jaakkola

Designing molecules with specific properties is a long-lasting research problem and is central to advancing crucial domains such as drug discovery and material science. Recent advances in deep graph generative models treat molecule design…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Amarda Shehu , Liang Zhao

The geometry of three-dimensional (3D) graphs, consisting of nodes and edges, plays a crucial role in many important applications. An excellent example is molecular graphs, whose geometry influences important properties of a molecule…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Daniel T. Chang

Molecular dynamic simulations are important in computational physics, chemistry, material, and biology. Machine learning-based methods have shown strong abilities in predicting molecular energy and properties and are much faster than DFT…

Molecular Networks · Quantitative Biology 2023-02-03 Zheng Yuan , Yaoyun Zhang , Chuanqi Tan , Wei Wang , Fei Huang , Songfang Huang

Molecular property prediction is of crucial importance in many disciplines such as drug discovery, molecular biology, or material and process design. The frequently employed quantitative structure-property/activity relationships…

Biomolecules · Quantitative Biology 2024-01-17 Jan G. Rittig , Qinghe Gao , Manuel Dahmen , Alexander Mitsos , Artur M. Schweidtmann

Graph neural networks (GNNs) demonstrate great performance in compound property and activity prediction due to their capability to efficiently learn complex molecular graph structures. However, two main limitations persist including…

Biomolecules · Quantitative Biology 2023-10-10 Apakorn Kengkanna , Masahito Ohue

As they carry great potential for modeling complex interactions, graph neural network (GNN)-based methods have been widely used to predict quantum mechanical properties of molecules. Most of the existing methods treat molecules as molecular…

Machine Learning · Computer Science 2020-09-29 Zeren Shui , George Karypis

Molecular structure recognition is the task of translating a molecular image into its graph structure. Significant variation in drawing styles and conventions exhibited in chemical literature poses a significant challenge for automating…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Yujie Qian , Jiang Guo , Zhengkai Tu , Zhening Li , Connor W. Coley , Regina Barzilay
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