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Applications of machine learning techniques for materials modeling typically involve functions known to be equivariant or invariant to specific symmetries. While graph neural networks (GNNs) have proven successful in such tasks, they…

Geometric deep learning enables the encoding of physical symmetries in modeling 3D objects. Despite rapid progress in encoding 3D symmetries into Graph Neural Networks (GNNs), a comprehensive evaluation of the expressiveness of these…

Machine Learning · Computer Science 2023-04-12 Weitao Du , Yuanqi Du , Limei Wang , Dieqiao Feng , Guifeng Wang , Shuiwang Ji , Carla Gomes , Zhi-Ming Ma

Directed evolution as a widely-used engineering strategy faces obstacles in finding desired mutants from the massive size of candidate modifications. While deep learning methods learn protein contexts to establish feasible searching space,…

Quantitative Methods · Quantitative Biology 2023-04-18 Bingxin Zhou , Outongyi Lv , Kai Yi , Xinye Xiong , Pan Tan , Liang Hong , Yu Guang Wang

Many problems in computer vision and machine learning can be cast as learning on hypergraphs that represent higher-order relations. Recent approaches for hypergraph learning extend graph neural networks based on message passing, which is…

Machine Learning · Computer Science 2022-08-23 Jinwoo Kim , Saeyoon Oh , Sungjun Cho , Seunghoon Hong

Employing equivariance in neural networks leads to greater parameter efficiency and improved generalization performance through the encoding of domain knowledge in the architecture; however, the majority of existing approaches require an a…

Machine Learning · Computer Science 2023-05-31 Emmanouil Theodosis , Karim Helwani , Demba Ba

Machine-learning interatomic potentials (MLIPs) have enabled molecular dynamics at near ab initio accuracy, yet remain limited to energies and forces by construction, leaving electronic observables such as dipole moments and…

The emergence of deep learning (DL) has provided great opportunities for the high-throughput analysis of atomic-resolution micrographs. However, the DL models trained by image patches in fixed size generally lack efficiency and flexibility…

We propose, implement, and compare with competitors a new architecture of equivariant neural networks based on geometric (Clifford) algebras: Generalized Lipschitz Group Equivariant Neural Networks (GLGENN). These networks are equivariant…

Machine Learning · Computer Science 2025-12-04 Ekaterina Filimoshina , Dmitry Shirokov

Learning and reasoning about 3D molecular structures with varying size is an emerging and important challenge in machine learning and especially in drug discovery. Equivariant Graph Neural Networks (GNNs) can simultaneously leverage the…

Machine Learning · Computer Science 2022-03-03 Tuan Le , Frank Noé , Djork-Arné Clevert

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…

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Accurate prediction of molecular properties is essential in drug discovery and related fields. However, existing graph neural networks (GNNs) often struggle to simultaneously capture both local and global molecular structures. In this work,…

Machine Learning · Computer Science 2025-08-26 XiaYu Liu , Chao Fan , Yang Liu , Hou-biao Li

In recent years, deep learning techniques have shown great success in various tasks related to inverse problems, where a target quantity of interest can only be observed through indirect measurements by a forward operator. Common approaches…

Numerical Analysis · Mathematics 2024-03-18 Matthias Beckmann , Nick Heilenkötter

The core of molecular dynamics simulation fundamentally lies in the interatomic potential. Traditional empirical potentials lack accuracy, while first-principles methods are computationally prohibitive. Machine learning interatomic…

Machine Learning · Computer Science 2026-03-25 Shuyu Bi , Zhede Zhao , Qiangchao Sun , Tao Hu , Xionggang Lu , Hongwei Cheng

Physical systems are commonly represented as a combination of particles, the individual dynamics of which govern the system dynamics. However, traditional approaches require the knowledge of several abstract quantities such as the energy or…

Machine Learning · Computer Science 2022-09-07 Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

The combination of deep learning algorithm and materials science has made significant progress in predicting novel materials and understanding various behaviours of materials. Here, we introduced a new model called as the Crystal…

Materials Science · Physics 2024-05-21 Zijian Du , Luozhijie Jin , Le Shu , Yan Cen , Yuanfeng Xu , Yongfeng Mei , Hao Zhang

Protein-ligand binding affinity is critical in drug discovery, but experimentally determining it is time-consuming and expensive. Artificial intelligence (AI) has been used to predict binding affinity, significantly accelerating this…

Emerging Technologies · Computer Science 2025-09-16 Seon-Geun Jeong , Kyeong-Hwan Moon , Won-Joo Hwang

Lightweight design, as a key approach to mitigate disparity between computational requirements of deep learning models and hardware performance, plays a pivotal role in advancing application of deep learning technologies on mobile and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Hanhua Long , Wenbin Bi , Jian Sun

Incorporating Euclidean symmetries (e.g. rotation equivariance) as inductive biases into graph neural networks has improved their generalization ability and data efficiency in unbounded physical dynamics modeling. However, in various…

Machine Learning · Computer Science 2024-06-25 Zinan Zheng , Yang Liu , Jia Li , Jianhua Yao , Yu Rong

Many real-world interactions are group-based rather than pairwise such as papers with multiple co-authors and users jointly engaging with items. Hypergraph neural networks have shown great promise at modeling higher-order relations, but…

Machine Learning · Computer Science 2025-08-14 Xiaoyu Li , Guangyu Tang , Jiaojiao Jiang