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Introduction: molecular geometry, the three-dimensional arrangement of atoms within a molecule, is fundamental to understanding chemical reactivity, physical properties, and biological activity. The prevailing models used to describe…

General Physics · Physics 2026-05-12 Sebastian Ali Sacasa-Cespedes

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

Deep learning is changing many areas in molecular physics, and it has shown great potential to deliver new solutions to challenging molecular modeling problems. Along with this trend arises the increasing demand of expressive and versatile…

Machine Learning · Computer Science 2023-12-27 Jun Zhang , Yao-Kun Lei , Yaqiang Zhou , Yi Isaac Yang , Yi Qin Gao

The identification of the interfacial molecules in fluid-fluid equilibrium is a long-standing problem in the area of simulation. We here propose a new point of view, making use of concepts taken from the field of computational geometry,…

Soft Condensed Matter · Physics 2009-04-30 Florencio Balboa Usabiaga , Daniel Duque

While graph neural networks have shown remarkable success in molecular property prediction, current approaches like the Equivariant Subgraph Aggregation Networks (ESAN) treat molecules as bags of independent substructures, overlooking…

Machine Learning · Computer Science 2025-12-16 Shuhui Qu , Cheolwoo Park

Coordination geometries describe how the neighbours of a central particle are arranged around it. Such geometries can be thought to lie in an abstract topological space; a model of this space could provide a mathematical basis for…

Mathematical Physics · Physics 2023-06-28 John Çamkıran , Fabian Parsch , Glenn D. Hibbard

This paper proposes a machine learning (ML) method to predict stable molecular geometries from their chemical composition. The method is useful for generating molecular conformations which may serve as initial geometries for saving time…

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

Attention mechanisms are developing into a viable alternative to convolutional layers as elementary building block of NNs. Their main advantage is that they are not restricted to capture local dependencies in the input, but can draw…

Machine Learning · Computer Science 2021-09-07 Thorben Frank , Stefan Chmiela

Modern information processing relies on the axiom that high-dimensional data lie near low-dimensional geometric structures. This paper revisits the problem of data-driven learning of these geometric structures and puts forth two new…

Machine Learning · Statistics 2018-03-06 Tong Wu , Waheed U. Bajwa

Numerous molecular systems, including solutions, proteins, and composite materials, can be modeled using mixed-resolution representations, of which the quantum mechanics/molecular mechanics (QM/MM) approach has become the most widely used.…

Chemical Physics · Physics 2018-01-17 Anton V. Sinitskiy , Gregory A. Voth

Machine learning has proven to be a valuable tool to approximate functions in high-dimensional spaces. Unfortunately, analysis of these models to extract the relevant physics is never as easy as applying machine learning to a large dataset…

Materials Science · Physics 2020-05-06 Conrad W. Rosenbrock , Eric R. Homer , Gábor Csányi , Gus L. W. Hart

There are many ways to represent a molecule as input to a machine learning model and each is associated with loss and retention of certain kinds of information. In the interest of preserving three-dimensional spatial information, including…

Machine Learning · Computer Science 2019-12-11 Jocelyn Sunseri , David Ryan Koes

Molecular sciences address a wide range of problems involving molecules of different types and sizes and their complexes. Recently, geometric deep learning, especially Graph Neural Networks, has shown promising performance in molecular…

Machine Learning · Computer Science 2023-11-21 Shuo Zhang , Yang Liu , Lei Xie

One of the molecular properties most intuitive to the human perception is the geometrical shape. However, when exploring a large chemical space the determination of shape needs to be automated. We present a fast and simple approach to…

Chemical Physics · Physics 2019-04-16 Guido Falk von Rudorff

Molecular modeling, a central topic in quantum mechanics, aims to accurately calculate the properties and simulate the behaviors of molecular systems. The molecular model is governed by physical laws, which impose geometric constraints such…

Machine Learning · Computer Science 2024-06-25 Tianlang Chen , Shengjie Luo , Di He , Shuxin Zheng , Tie-Yan Liu , Liwei Wang

Molecule design is a fundamental problem in molecular science and has critical applications in a variety of areas, such as drug discovery, material science, etc. However, due to the large searching space, it is impossible for human experts…

Machine Learning · Computer Science 2022-03-29 Yuanqi Du , Tianfan Fu , Jimeng Sun , Shengchao Liu

We present a geometric formulation of the Multiple Kernel Learning (MKL) problem. To do so, we reinterpret the problem of learning kernel weights as searching for a kernel that maximizes the minimum (kernel) distance between two convex…

Machine Learning · Computer Science 2014-03-18 John Moeller , Parasaran Raman , Avishek Saha , Suresh Venkatasubramanian

We consider molecule generation in 3D space using language models (LMs), which requires discrete tokenization of 3D molecular geometries. Although tokenization of molecular graphs exists, that for 3D geometries is largely unexplored. Here,…

Artificial Intelligence · Computer Science 2024-08-20 Xiner Li , Limei Wang , Youzhi Luo , Carl Edwards , Shurui Gui , Yuchao Lin , Heng Ji , Shuiwang Ji

Modelling and understanding properties of materials from first principles require knowledge of the underlying atomistic structure. This entails knowing the individual identity and position of all involved atoms. Obtaining such information…

Chemical Physics · Physics 2023-07-06 Mads-Peter Verner Christiansen , Nikolaj Rønne , Bjørk Hammer
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