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This study explores the use of equivariant quantum neural networks (QNN) for generating molecular force fields, focusing on the rMD17 dataset. We consider a QNN architecture based on previous research and point out shortcomings in the…

Equivariant deep learning architectures exploit symmetries in learning problems to improve the sample efficiency of neural-network-based models and their ability to generalise. However, when modelling real-world data, learning problems are…

Machine Learning · Statistics 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

Machine learning interatomic potentials trained on first-principles reference data are becoming valuable tools for computational physics, biology, and chemistry. Equivariant message-passing neural networks, including transformers, achieve…

Equivariant quantum neural networks (QNNs) are promising variational models that exploit symmetries to improve machine learning capabilities. Despite theoretical developments in equivariant QNNs, their implementation on near-term quantum…

Quantum Physics · Physics 2026-04-20 Koki Chinzei , Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

We introduce a tensor-channel equivariant graph neural network for direct prediction of molecular polarizability tensors. Building on the efficient PaiNN architecture, we augment the hidden representation with explicit symmetric rank-2…

Machine Learning · Computer Science 2026-05-19 Jean Philip Filling , Daniel Franzen , Michael Wand

End-to-end learning for visual robotic manipulation is known to suffer from sample inefficiency, requiring large numbers of demonstrations. The spatial roto-translation equivariance, or the SE(3)-equivariance can be exploited to improve the…

Robotics · Computer Science 2023-11-08 Hyunwoo Ryu , Hong-in Lee , Jeong-Hoon Lee , Jongeun Choi

We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accurate dynamic-interaction models than their non-equivariant…

Machine Learning · Computer Science 2023-05-26 Artur P. Toshev , Gianluca Galletti , Johannes Brandstetter , Stefan Adami , Nikolaus A. Adams

We present the group equivariant conditional neural process (EquivCNP), a meta-learning method with permutation invariance in a data set as in conventional conditional neural processes (CNPs), and it also has transformation equivariance in…

Machine Learning · Computer Science 2021-02-18 Makoto Kawano , Wataru Kumagai , Akiyoshi Sannai , Yusuke Iwasawa , Yutaka Matsuo

3D Euclidean symmetry equivariant neural networks have demonstrated notable success in modeling complex physical systems. We introduce a framework for relaxed $E(3)$ graph equivariant neural networks that can learn and represent symmetry…

Machine Learning · Computer Science 2024-12-11 Elyssa Hofgard , Rui Wang , Robin Walters , Tess Smidt

Equivariant neural networks (ENNs) are graph neural networks embedded in $\mathbb{R}^3$ and are well suited for predicting molecular properties. The ENN library e3nn has customizable convolutions, which can be designed to depend only on…

Machine Learning · Computer Science 2020-11-25 Benjamin Kurt Miller , Mario Geiger , Tess E. Smidt , Frank Noé

Predicting the binding sites of target proteins plays a fundamental role in drug discovery. Most existing deep-learning methods consider a protein as a 3D image by spatially clustering its atoms into voxels and then feed the voxelized…

Biomolecules · Quantitative Biology 2024-07-24 Yang Zhang , Zhewei Wei , Ye Yuan , Chongxuan Li , Wenbing Huang

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

Mixed-integer quadratic programs (MIQPs) are a versatile way of formulating vehicle decision making and motion planning problems, where the prediction model is a hybrid dynamical system that involves both discrete and continuous decision…

Robotics · Computer Science 2024-05-15 Rudolf Reiter , Rien Quirynen , Moritz Diehl , Stefano Di Cairano

Machine-learned interatomic potentials have revolutionized molecular dynamics simulations by providing quantum-mechanical accuracy at empirical-potential speeds. The graphics processing unit molecular dynamics (GPUMD) package, featuring the…

We investigate quantum circuits for graph representation learning, and propose equivariant quantum graph circuits (EQGCs), as a class of parameterized quantum circuits with strong relational inductive bias for learning over graph-structured…

Machine Learning · Computer Science 2022-06-15 Péter Mernyei , Konstantinos Meichanetzidis , İsmail İlkan Ceylan

This paper proposes a convolution structure for learning SE(3)-equivariant features from 3D point clouds. It can be viewed as an equivariant version of kernel point convolutions (KPConv), a widely used convolution form to process point…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Minghan Zhu , Maani Ghaffari , William A. Clark , Huei Peng

Finding spike-based learning algorithms that can be implemented within the local constraints of neuromorphic systems, while achieving high accuracy, remains a formidable challenge. Equilibrium Propagation is a promising alternative to…

Neural and Evolutionary Computing · Computer Science 2021-02-18 Erwann Martin , Maxence Ernoult , Jérémie Laydevant , Shuai Li , Damien Querlioz , Teodora Petrisor , Julie Grollier

Machine learning interatomic potentials (MLIPs) are an emerging modeling technique that promises to provide electronic structure theory accuracy for a fraction of its cost, however, the transferability of MLIPs is a largely unknown factor.…

Chemical Physics · Physics 2024-02-27 Tristan Maxson , Tibor Szilvasi

The accurate description of electrostatic interactions remains a challenging problem for fitted potential-energy functions. The commonly used fixed partial-charge approximation fails to reproduce the electrostatic potential at short range…

Chemical Physics · Physics 2022-04-05 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

We introduce a scheme for molecular simulations, the Deep Potential Molecular Dynamics (DeePMD) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data.…

Computational Physics · Physics 2018-04-11 Linfeng Zhang , Jiequn Han , Han Wang , Roberto Car , Weinan E
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