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Self-supervised learning holds promise to revolutionize molecule property prediction - a central task to drug discovery and many more industries - by enabling data efficient learning from scarce experimental data. Despite significant…

Finding accurate solutions to the Schr\"odinger equation is the key unsolved challenge of computational chemistry. Given its importance for the development of new chemical compounds, decades of research have been dedicated to this problem,…

Machine Learning · Computer Science 2022-10-12 Leon Gerard , Michael Scherbela , Philipp Marquetand , Philipp Grohs

Neural-network quantum states (NQS) has emerged as a powerful application of quantum-inspired deep learning for variational Monte Carlo methods, offering a competitive alternative to existing techniques for identifying ground states of…

Machine Learning · Computer Science 2024-11-07 Oliver Knitter , Dan Zhao , James Stokes , Martin Ganahl , Stefan Leichenauer , Shravan Veerapaneni

This research endeavors to offer insights into unlocking the further potential of transformer-based architectures. One of the primary motivations is to offer a geometric interpretation for the attention mechanism in transformers. In our…

Machine Learning · Computer Science 2025-12-16 Zhongping Ji

The ground state of second-quantized quantum chemistry Hamiltonians is key to determining molecular properties. Neural quantum states (NQS) offer flexible and expressive wavefunction ansatze for this task but face two main challenges:…

Chemical Physics · Physics 2025-06-18 An-Jun Liu , Bryan K. Clark

In this paper, we integrate neural networks and Gaussian wave packets to numerically solve the Schr\"odinger equation with a smooth potential near the semi-classical limit. Our focus is not only on accurately obtaining solutions when the…

Computational Physics · Physics 2025-09-08 Jizu Huang , Rukang You , Tao Zhou

Graph Transformers (GTs) have demonstrated significant advantages in graph representation learning through their global attention mechanisms. However, the self-attention mechanism in GTs tends to neglect the inductive biases inherent in…

Machine Learning · Computer Science 2024-12-04 Lei Yu , Hongyang Chen , Jingsong Lv , Linyao Yang

Spiking Neural Networks (SNNs), known for their biologically plausible architecture, face the challenge of limited performance. The self-attention mechanism, which is the cornerstone of the high-performance Transformer and also a…

Neural and Evolutionary Computing · Computer Science 2024-01-05 Zhaokun Zhou , Kaiwei Che , Wei Fang , Keyu Tian , Yuesheng Zhu , Shuicheng Yan , Yonghong Tian , Li Yuan

Finding reliable approximations to the quantum many-body problem is one of the central challenges of modern physics. Elemental to this endeavor is the development of advanced numerical techniques pushing the limits of what is tractable. One…

Quantum Physics · Physics 2025-08-13 Björn J. Wurst , Dante M. Kennes , Jonas B. Profe

We present ASSET, a neural architecture for automatically modifying an input high-resolution image according to a user's edits on its semantic segmentation map. Our architecture is based on a transformer with a novel attention mechanism.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Difan Liu , Sandesh Shetty , Tobias Hinz , Matthew Fisher , Richard Zhang , Taesung Park , Evangelos Kalogerakis

In this work we approach the Schr\"odinger equation in quantum wells with arbitrary potentials, using the machine learning technique. Two neural networks with different architectures are proposed and trained using a set of potentials,…

Computational Physics · Physics 2022-02-22 Adrian Radu , Carlos A. Duque

Transformers are expensive to train due to the quadratic time and space complexity in the self-attention mechanism. On the other hand, although kernel machines suffer from the same computation bottleneck in pairwise dot products, several…

Machine Learning · Computer Science 2021-11-02 Yifan Chen , Qi Zeng , Heng Ji , Yun Yang

Accurate and efficient prediction of electronic wavefunctions is central to ab initio molecular dynamics (AIMD) and electronic structure theory. However, conventional ab initio methods require self-consistent optimization of electronic…

Chemical Physics · Physics 2025-11-12 Yanxian Tao , Lingyun Wan , Xiongzhi Zeng , Yingdi Jin , Jie Liu , Zhenyu Li , Jinlong Yang

Transformer architecture has emerged to be successful in a number of natural language processing tasks. However, its applications to medical vision remain largely unexplored. In this study, we present UTNet, a simple yet powerful hybrid…

Computer Vision and Pattern Recognition · Computer Science 2021-09-29 Yunhe Gao , Mu Zhou , Dimitris Metaxas

To improve persistence diagram representation learning, we propose Multiset Transformer. This is the first neural network that utilizes attention mechanisms specifically designed for multisets as inputs and offers rigorous theoretical…

Machine Learning · Computer Science 2024-11-25 Minghua Wang , Ziyun Huang , Jinhui Xu

Predicting physical properties of materials from their crystal structures is a fundamental problem in materials science. In peripheral areas such as the prediction of molecular properties, fully connected attention networks have been shown…

Machine Learning · Computer Science 2024-03-19 Tatsunori Taniai , Ryo Igarashi , Yuta Suzuki , Naoya Chiba , Kotaro Saito , Yoshitaka Ushiku , Kanta Ono

Transformers have emerged as a preferred model for many tasks in natural langugage processing and vision. Recent efforts on training and deploying Transformers more efficiently have identified many strategies to approximate the…

Machine Learning · Computer Science 2022-07-22 Zhanpeng Zeng , Sourav Pal , Jeffery Kline , Glenn M Fung , Vikas Singh

Foundational models based on the transformer architecture are currently the state-of-the-art in general language modeling, as well as in scientific areas such as material science and climate. However, training and deploying these models is…

Machine Learning · Computer Science 2025-10-16 Adarsha Balaji , Sandeep Madireddy , Prasanna Balaprakash

Robust and efficient interpretation of QSAR methods is quite useful to validate AI prediction rationales with subjective opinion (chemist or biologist expertise), understand sophisticated chemical or biological process mechanisms, and…

Biomolecules · Quantitative Biology 2026-05-05 Jinjiang Guo , Qi Liu , Han Guo , Xi Lu

Attention mechanism has been extensively integrated within mainstream neural network architectures, such as Transformers and graph attention networks. Yet, its underlying working principles remain somewhat elusive. What is its essence? Are…

Machine Learning · Computer Science 2024-12-25 Tianyu Ruan , Shihua Zhang
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