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Long-range correlations are essential across numerous machine learning tasks, especially for data embedded in Euclidean space, where the relative positions and orientations of distant components are often critical for accurate predictions.…

Machine Learning · Computer Science 2025-09-30 J. Thorben Frank , Stefan Chmiela , Klaus-Robert Müller , Oliver T. Unke

Machine learning force fields (MLFFs) have revolutionized molecular simulations by providing quantum mechanical accuracy at the speed of molecular mechanical computations. However, a fundamental reliance of these models on fixed-cutoff…

Chemical Physics · Physics 2026-01-08 Chu Wang , Lin Huang , Xinran Wei , Tao Qin , Arthur Jiang , Lixue Cheng , Jia Zhang

Machine learning interatomic potentials (MLIPs) have revolutionized the modeling of materials and molecules by directly fitting to ab initio data. However, while these models excel at capturing local and semi-local interactions, they often…

We introduce a generalized attention mechanism for spherical domains, enabling Transformer architectures to natively process data defined on the two-dimensional sphere - a critical need in fields such as atmospheric physics, cosmology, and…

Machine Learning · Computer Science 2025-05-19 Boris Bonev , Max Rietmann , Andrea Paris , Alberto Carpentieri , Thorsten Kurth

The application of machine learning methods in quantum chemistry has enabled the study of numerous chemical phenomena, which are computationally intractable with traditional ab-initio methods. However, some quantum mechanical properties of…

Machine Learning · Computer Science 2023-01-10 J. Thorben Frank , Oliver T. Unke , Klaus-Robert Müller

Pretrained equivariant graph neural networks based on spherical harmonics offer efficient and accurate alternatives to computationally expensive ab-initio methods, yet adapting them to new tasks and chemical environments still requires…

Machine Learning · Computer Science 2025-12-12 Dian Jin , Yancheng Yuan , Xiaoming Tao

Apart from the high accuracy of machine learning models, what interests many researchers in real-life problems (e.g., fraud detection, credit scoring) is to find hidden patterns in data; particularly when dealing with their challenging…

Remarkable effectiveness of the channel or spatial attention mechanisms for producing more discernible feature representation are illustrated in various computer vision tasks. However, modeling the cross-channel relationships with channel…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Daliang Ouyang , Su He , Guozhong Zhang , Mingzhu Luo , Huaiyong Guo , Jian Zhan , Zhijie Huang

The quadratic computational complexity of MultiHead SelfAttention (MHSA) remains a fundamental bottleneck in scaling Large Language Models (LLMs) for longcontext tasks. While sparse and linearized attention mechanisms attempt to mitigate…

Computation and Language · Computer Science 2025-12-19 Caner Erden

The goal of this manuscript is to provide an introduction to the multi-scale entanglement renormalization ansatz (MERA) and its application to the study of quantum critical systems. Only systems in one spatial dimension are considered. The…

Quantum Physics · Physics 2013-11-01 Glen Evenbly , Guifre Vidal

Converting pretrained attention modules such as grouped-query attention (GQA) into multi-head latent attention (MLA) can improve expressivity without increasing KV-cache cost, making it attractive for efficient inference. However, many…

Simulating large molecular systems over long timescales requires force fields that are both accurate and efficient. In recent years, E(3) equivariant neural networks have lifted the tension between computational efficiency and accuracy of…

Chemical Physics · Physics 2025-05-22 Leif Seute , Eric Hartmann , Jan Stühmer , Frauke Gräter

Processing spatial data is a key component in many learning tasks for autonomous driving such as motion forecasting, multi-agent simulation, and planning. Prior works have demonstrated the value in using SE(2) invariant network…

Machine Learning · Computer Science 2025-07-25 Ethan Pronovost , Neha Boloor , Peter Schleede , Noureldin Hendy , Andres Morales , Nicholas Roy

Long-form speech recognition is an application area of increasing research focus. ASR models based on multi-head attention (MHA) are ill-suited to long-form ASR because of their quadratic complexity in sequence length. We build on recent…

Computation and Language · Computer Science 2025-06-25 Martin Ratajczak , Jean-Philippe Robichaud , Jennifer Drexler Fox

Recently, random feature attentions (RFAs) are proposed to approximate the softmax attention in linear time and space complexity by linearizing the exponential kernel. In this paper, we first propose a novel perspective to understand the…

Machine Learning · Computer Science 2022-06-16 Lin Zheng , Chong Wang , Lingpeng Kong

Attention mechanisms are developing into a viable alternative to convolutional layers as elementary building block of NNs. Their main advantage is that they are not restricted to capture local dependencies in the input, but can draw…

Machine Learning · Computer Science 2021-09-07 Thorben Frank , Stefan Chmiela

In the realm of deep learning, spatial attention mechanisms have emerged as a vital method for enhancing the performance of convolutional neural networks. However, these mechanisms possess inherent limitations that cannot be overlooked.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Xin Zhang , Chen Liu , Degang Yang , Tingting Song , Yichen Ye , Ke Li , Yingze Song

The pursuit of reducing the memory footprint of the self-attention mechanism in multi-headed self attention (MHA) spawned a rich portfolio of methods, e.g., group-query attention (GQA) and multi-head latent attention (MLA). The methods…

Machine Learning · Computer Science 2026-04-01 Timon Klein , Jonas Kusch , Sebastian Sager , Stefan Schnake , Steffen Schotthöfer

Recent hybrid models combining Linear State Space Models (SSMs) with self-attention mechanisms have demonstrated impressive results across a range of sequence modeling tasks. However, current approaches apply attention modules statically…

Machine Learning · Computer Science 2023-11-07 Liliang Ren , Yang Liu , Shuohang Wang , Yichong Xu , Chenguang Zhu , ChengXiang Zhai

Effectively integrating molecular graph structures with Large Language Models (LLMs) is a key challenge in drug discovery. Most existing multi-modal alignment methods typically process these structures by fine-tuning the LLM or adding a…

Machine Learning · Computer Science 2025-10-15 Tao Yin , Xiaohong Zhang , Jiacheng Zhang , Li Huang , Zhibin Zhang , Yuansong Zeng , Jin Xie , Meng Yan
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