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This paper explores the underlying principles of positional relationships and encodings within Large Language Models (LLMs) and introduces the concept of the Attention Gravitational Field (AGF). By decoupling positional encodings from…

Computation and Language · Computer Science 2026-03-06 Edward Zhang

Recent years have seen vast progress in the development of machine learned force fields (MLFFs) based on ab-initio reference calculations. Despite achieving low test errors, the reliability of MLFFs in molecular dynamics (MD) simulations is…

Chemical Physics · Physics 2024-02-19 J. Thorben Frank , Oliver T. Unke , Klaus-Robert Müller , Stefan Chmiela

Federated Learning (FL) aims to learn a single global model that enables the central server to help the model training in local clients without accessing their local data. The key challenge of FL is the heterogeneity of local data in…

Machine Learning · Computer Science 2023-04-17 Sicong Liang , Junchao Tian , Shujun Yang , Yu Zhang

We have developed an extended distance matrix approach to study the molecular geometric configuration through spectral decomposition. It is shown that the positions of all atoms in the eigen-space can be specified precisely by their…

Materials Science · Physics 2017-05-24 Xiao-Tian Li , Xiao-bao Yang , Yu-Jun Zhao

Accurate modeling of long-range forces is critical in atomistic simulations, as they play a central role in determining the properties of materials and chemical systems. However, standard machine learning interatomic potentials (MLIPs)…

Computational Physics · Physics 2024-12-23 Dongjin Kim , Daniel S. King , Peichen Zhong , Bingqing Cheng

Federated learning (FL) has attracted increasing attention as a promising approach to driving a vast number of end devices with artificial intelligence. However, it is very challenging to guarantee the efficiency of FL considering the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Wentai Wu , Ligang He , Weiwei Lin , Rui Mao , Carsten Maple , Stephen Jarvis

In a spatially embedded network, that is a network where nodes can be uniquely determined in a system of coordinates, links' weights might be affected by metric distances coupling every pair of nodes (dyads). In order to assess to what…

Data Analysis, Statistics and Probability · Physics 2014-03-05 Riccardo Chiarucci , Franco Ruzzenenti , Maria I. Loffredo

Federated learning (FL) is a promising distributed paradigm, eliminating the need for data sharing but facing challenges from data heterogeneity. Personalized parameter generation through a hypernetwork proves effective, yet existing…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Ziyuan Yang , Zerui Shao , Huijie Huangfu , Hui Yu , Andrew Beng Jin Teoh , Xiaoxiao Li , Hongming Shan , Yi Zhang

Molecular-level understanding of the interactions between the constituents of an atomic structure is essential for designing novel materials in various applications. This need goes beyond the basic knowledge of the number and types of…

The correlation matrix is a central representation of functional brain networks in neuroimaging. Traditional analyses often treat pairwise interactions independently in a Euclidean setting, overlooking the intrinsic geometry of correlation…

Machine Learning · Statistics 2025-04-10 Kisung You , Yelim Lee , Hae-Jeong Park

The Transformer, a breakthrough architecture in artificial intelligence, owes its success to the attention mechanism, which utilizes long-range interactions in sequential data, enabling the emergent coherence between large language models…

Artificial Intelligence · Computer Science 2026-04-23 Zihan Zhou , Bo-Wei Qin , Kai Du , Wei Lin

Machine learning force fields (MLFFs) have emerged as a sophisticated tool for cost-efficient atomistic simulations approaching DFT accuracy, with recent message passing MLFFs able to cover the entire periodic table. We present an invariant…

Knowing the rate at which particle radiation releases energy in a material, the stopping power, is key to designing nuclear reactors, medical treatments, semiconductor and quantum materials, and many other technologies. While the nuclear…

Materials Science · Physics 2024-09-13 Logan Ward , Ben Blaiszik , Cheng-Wei Lee , Troy Martin , Ian Foster , André Schleife

Transformer-based deep models for single image super-resolution (SISR) have greatly improved the performance of lightweight SISR tasks in recent years. However, they often suffer from heavy computational burden and slow inference due to the…

Image and Video Processing · Electrical Eng. & Systems 2024-08-09 Xiaole Zhao , Linze Li , Chengxing Xie , Xiaoming Zhang , Ting Jiang , Wenjie Lin , Shuaicheng Liu , Tianrui Li

We investigate the high-dimensional data clustering problem by proposing a novel and unsupervised representation learning model called Robust Flexible Auto-weighted Local-coordinate Concept Factorization (RFA-LCF). RFA-LCF integrates the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Zhao Zhang , Yan Zhang , Sheng Li , Guangcan Liu , Meng Wang , Shuicheng Yan

Machine learning (ML) offers considerable promise for the design of new molecules and materials. In real-world applications, the design problem is often domain-specific, and suffers from insufficient data, particularly labeled data, for ML…

Chemical Physics · Physics 2025-02-04 Ming Han , Ge Sun , Juan J. de Pablo

Lagrangian trajectories are widely used as observations for recovering the underlying flow field via Lagrangian data assimilation (DA). However, the strong nonlinearity in the observational process and the high dimensionality of the…

Fluid Dynamics · Physics 2024-02-06 Quanling Deng , Nan Chen , Samuel N. Stechmann , Jiuhua Hu

Attention-based deep networks have been successfully applied on textual data in the field of NLP. However, their application on protein sequences poses additional challenges due to the weak semantics of the protein words, unlike the plain…

Machine Learning · Computer Science 2022-08-29 Ashish Ranjan , Md Shah Fahad , Akshay Deepak

Structured data is widely used in domains such as healthcare, finance, and scientific data management. Recent studies on structured data foundation models (SFMs) aim to support data analysis and mining tasks over such data, but still face…

Machine Learning · Computer Science 2026-05-21 Zhenghang Song , Tang Qian , Lu Chen , Yushuai Li , Zhengke Hu , Bingbing Fang , Yumeng Song , Junbo Zhao , Sheng Zhang , Tianyi Li

Recently, 3D medical image reconstruction (MIR) and segmentation (MIS) based on deep neural networks have been developed with promising results, and attention mechanism has been further designed to capture global contextual information for…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Hang Zhang , Jinwei Zhang , Rongguang Wang , Qihao Zhang , Pascal Spincemaille , Thanh D. Nguyen , Yi Wang
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