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We consider the prediction of the Hamiltonian matrix, which finds use in quantum chemistry and condensed matter physics. Efficiency and equivariance are two important, but conflicting factors. In this work, we propose a SE(3)-equivariant…

Machine Learning · Computer Science 2023-11-09 Haiyang Yu , Zhao Xu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

We consider the task of predicting Hamiltonian matrices to accelerate electronic structure calculations, which plays an important role in physics, chemistry, and materials science. Motivated by the inherent relationship between the…

Machine Learning · Computer Science 2026-05-27 Haiyang Yu , Yuchao Lin , Xuan Zhang , Xiaofeng Qian , Shuiwang Ji

Convolutional Neural Networks (CNNs) are the predominant model used for a variety of medical image analysis tasks. At inference time, these models are computationally intensive, especially with volumetric data. In principle, it is possible…

Computer Vision and Pattern Recognition · Computer Science 2023-06-30 Jose Javier Gonzalez Ortiz , John Guttag , Adrian Dalca

Deep learning for predicting the electronic-structure Hamiltonian of quantum systems necessitates satisfying the covariance laws, among which achieving SO(3)-equivariance without sacrificing the non-linear expressive capability of networks…

Computational Physics · Physics 2024-06-25 Shi Yin , Xinyang Pan , Xudong Zhu , Tianyu Gao , Haochong Zhang , Feng Wu , Lixin He

Multivariate Hawkes Processes (MHPs) are an important class of temporal point processes that have enabled key advances in understanding and predicting social information systems. However, due to their complex modeling of temporal…

Machine Learning · Computer Science 2020-03-02 Maximilian Nickel , Matthew Le

The combinations of machine learning with ab initio methods have attracted much attention for their potential to resolve the accuracy-efficiency dilemma and facilitate calculations for large-scale systems. Recently, equivariant message…

Computational Physics · Physics 2025-09-08 Zhixin Liang , Yunlong Wang , Chi Ding , Junjie Wang , Hui-Tian Wang , Dingyu Xing , Jian Sun

Spatio-temporal prediction is a pivotal task with broad applications in traffic management, climate monitoring, energy scheduling, etc. However, existing methodologies often struggle to balance model expressiveness and computational…

Machine Learning · Computer Science 2025-05-27 Jiawen Chen , Qi Shao , Duxin Chen , Wenwu Yu

Graph embedding is gaining its popularity for link prediction in complex networks and achieving excellent performance. However, limited work has been done in sparse networks that represent most of real networks. In this paper, we propose a…

Social and Information Networks · Computer Science 2021-04-22 Min-Ren Chen , Ping Huang , Yu Lin , Shi-Min Cai

We propose a framework to combine strong non-linear expressiveness with strict SO(3)-equivariance in prediction of the electronic-structure Hamiltonian, by exploring the mathematical relationships between SO(3)-invariant and…

Machine Learning · Computer Science 2025-02-03 Shi Yin , Xinyang Pan , Fengyan Wang , Lixin He

Balancing predictive power and interpretability has long been a challenging research area, particularly in powerful yet complex models like neural networks, where nonlinearity obstructs direct interpretation. This paper introduces a novel…

Machine Learning · Computer Science 2025-02-20 Antoine Ledent , Peng Liu

In this paper, we develop SE3Set, an SE(3) equivariant hypergraph neural network architecture tailored for advanced molecular representation learning. Hypergraphs are not merely an extension of traditional graphs; they are pivotal for…

Machine Learning · Computer Science 2024-05-28 Hongfei Wu , Lijun Wu , Guoqing Liu , Zhirong Liu , Bin Shao , Zun Wang

In order to enhance the real-time performance of convolutional neural networks(CNNs), more and more researchers are focusing on improving the efficiency of CNN. Based on the analysis of some CNN architectures, such as ResNet, DenseNet,…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Qiuyu Zhu , Ruixin Zhang

Hyperspectral image super-resolution is essential for enhancing the spatial fidelity of HSI data, yet existing deep learning methods often struggle with substantial spectral redundancy and the limited non-linear modeling capacity of…

Image and Video Processing · Electrical Eng. & Systems 2026-05-01 Tengya Zhang , Feng Gao , Lin Qi , Junyu Dong , Qian Du

To accelerate deep CNN models, this paper proposes a novel spatially adaptive framework that can dynamically generate pixel-wise sparsity according to the input image. The sparse scheme is pixel-wise refined, regional adaptive under a…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Chen Tang , Wenyu Sun , Zhuqing Yuan , Yongpan Liu

We present SparseAttnNet, a new hierarchical attention-driven framework for efficient image classification that adaptively selects and processes only the most informative pixels from images. Traditional convolutional neural networks…

Image and Video Processing · Electrical Eng. & Systems 2025-05-13 Elad Yoshai , Dana Yagoda-Aharoni , Eden Dotan , Natan T. Shaked

We propose a novel unsupervised cross-modal homography estimation learning framework, named Split Supervised Homography estimation Network (SSHNet). SSHNet reformulates the unsupervised cross-modal homography estimation into two supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Junchen Yu , Si-Yuan Cao , Runmin Zhang , Chenghao Zhang , Zhu Yu , Shujie Chen , Bailin Yang , Hui-liang Shen

We introduce Sparse Symplectically Integrated Neural Networks (SSINNs), a novel model for learning Hamiltonian dynamical systems from data. SSINNs combine fourth-order symplectic integration with a learned parameterization of the…

Machine Learning · Computer Science 2020-10-29 Daniel M. DiPietro , Shiying Xiong , Bo Zhu

Machine learning surrogate models of Kohn-Sham Density Functional Theory Hamiltonians provide a powerful tool for accelerating the prediction of electronic properties of materials, such as electronic band structures and density of states.…

Materials Science · Physics 2026-04-02 Chen Qian , Valdas Vitartas , James Kermode , Reinhard J. Maurer

Combination of deep learning and ab initio calculation has shown great promise in revolutionizing future scientific research, but how to design neural network models incorporating a priori knowledge and symmetry requirements is a key…

Computational Physics · Physics 2023-06-12 Xiaoxun Gong , He Li , Nianlong Zou , Runzhang Xu , Wenhui Duan , Yong Xu

The development of efficient machine learning models for molecular systems representation is becoming crucial in scientific research. We introduce TensorNet, an innovative O(3)-equivariant message-passing neural network architecture that…

Machine Learning · Computer Science 2023-10-31 Guillem Simeon , Gianni de Fabritiis
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