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In modern computational materials science, deep learning has shown the capability to predict interatomic potentials, thereby supporting and accelerating conventional simulations. However, existing models typically sacrifice either accuracy…

Computational Engineering, Finance, and Science · Computer Science 2024-10-08 Ziduo Yang , Xian Wang , Yifan Li , Qiujie Lv , Calvin Yu-Chian Chen , Lei Shen

Equivariance to symmetries has proven to be a powerful inductive bias in deep learning research. Recent works on mesh processing have concentrated on various kinds of natural symmetries, including translations, rotations, scaling, node…

Machine Learning · Computer Science 2022-08-30 Sourya Basu , Jose Gallego-Posada , Francesco Viganò , James Rowbottom , Taco Cohen

Neural networks have continued to gain prevalence in the modern era for their ability to model complex data through pattern recognition and behavior remodeling. However, the static construction of traditional neural networks inhibits…

Quantum Physics · Physics 2025-08-14 Alejandro Antonio Mayorga , Alexander Yuan , Andrew Yuan , Tyler Wooldridge , Xiaodi Wang

Designing a single neural network architecture that performs competitively across a range of molecule property prediction tasks remains largely an open challenge, and its solution may unlock a widespread use of deep learning in the drug…

Machine Learning · Computer Science 2021-02-10 Łukasz Maziarka , Tomasz Danel , Sławomir Mucha , Krzysztof Rataj , Jacek Tabor , Stanisław Jastrzębski

Quantum Neural Networks (QNNs), a prominent approach in Quantum Machine Learning (QML), are emerging as a powerful alternative to classical machine learning methods. Recent studies have focused on the applicability of QNNs to various tasks,…

Machine Learning · Computer Science 2025-07-01 Batuhan Hangun , Oguz Altun , Onder Eyecioglu

The ability to perform fast and accurate atomistic simulations is crucial for advancing the chemical sciences. By learning from high-quality data, machine-learned interatomic potentials achieve accuracy on par with ab initio and…

Equivariant networks are specifically designed to ensure consistent behavior with respect to a set of input transformations, leading to higher sample efficiency and more accurate and robust predictions. However, redesigning each component…

Machine Learning · Computer Science 2023-10-31 Arnab Kumar Mondal , Siba Smarak Panigrahi , Sékou-Oumar Kaba , Sai Rajeswar , Siamak Ravanbakhsh

Mesh-based 3D static analysis methods have recently emerged as efficient alternatives to traditional computational numerical solvers, significantly reducing computational costs and runtime for various physics-based analyses. However, these…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Sungwon Kim , Namkyeong Lee , Yunyoung Doh , Seungmin Shin , Guimok Cho , Seung-Won Jeon , Sangkook Kim , Chanyoung Park

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

Incorporating permutation equivariance into neural networks has proven to be useful in ensuring that models respect symmetries that exist in data. Symmetric tensors, which naturally appear in statistics, machine learning, and graph theory,…

Machine Learning · Computer Science 2025-05-26 Edward Pearce-Crump

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

Equivariance is a nice property to have as it produces much more parameter efficient neural architectures and preserves the structure of the input through the feature mapping. Even though some combinations of transformations might never…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David W. Romero , Mark Hoogendoorn

We refine the OrbNet model to accurately predict energy, forces, and other response properties for molecules using a graph neural-network architecture based on features from low-cost approximated quantum operators in the symmetry-adapted…

Machine learning potentials have become increasingly successful in atomistic simulations. Many of these potentials are based on an atomistic representation in a local environment, but an efficient description of non-local interactions that…

Chemical Physics · Physics 2024-10-01 Yibin Wu , Junfan Xia , Yaolong Zhang , Bin Jiang

Molecular machine learning has been maturing rapidly over the last few years. Improved methods and the presence of larger datasets have enabled machine learning algorithms to make increasingly accurate predictions about molecular…

Equivariant neural networks encode geometric symmetries by construction, yet they are often difficult to optimize and can underperform less constrained architectures. A growing body of work addresses this through architectural modifications…

Machine Learning · Computer Science 2026-05-28 Teodor-Mihai Stupariu , Andrei Manolache

Toxicity analysis and prediction are of paramount importance to human health and environmental protection. Existing computational methods are built from a wide variety of descriptors and regressors, which makes their performance analysis…

Quantitative Methods · Quantitative Biology 2017-04-03 Kedi Wu , Guo-Wei Wei

In recent years, deep learning (DL) has contributed significantly to the improvement of motor-imagery brain-machine interfaces (MI-BMIs) based on electroencephalography(EEG). While achieving high classification accuracy, DL models have also…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Thorir Mar Ingolfsson , Michael Hersche , Xiaying Wang , Nobuaki Kobayashi , Lukas Cavigelli , Luca Benini

The rapid progress of machine learning interatomic potentials over the past couple of years produced a number of new architectures. Particularly notable among these are the Atomic Cluster Expansion (ACE), which unified many of the earlier…

The combination of neural network potential (NNP) with molecular simulations plays an important role in an efficient and thorough understanding of a molecular system's potential energy surface (PES). However, grasping the interplay between…

Computational Physics · Physics 2021-10-28 Ji Woong Yu , Min Young Ha , Bumjoon Seo , Won Bo Lee