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We present PDE-FM, a modular foundation model for physics-informed machine learning that unifies spatial, spectral, and temporal reasoning across heterogeneous partial differential equation (PDE) systems. PDE-FM combines spatial-spectral…

Machine Learning · Computer Science 2025-12-01 Eduardo Soares , Emilio Vital Brazil , Victor Shirasuna , Breno W. S. R. de Carvalho , Cristiano Malossi

In multivariate time-series forecasting (MTSF), extracting the temporal correlations of the input sequences is crucial. While popular Transformer-based predictive models can perform well, their quadratic computational complexity results in…

Machine Learning · Computer Science 2024-07-23 Shusen Ma , Yu Kang , Peng Bai , Yun-Bo Zhao

While the popularity of physics-informed neural networks (PINNs) is steadily rising, to this date PINNs have not been successful in simulating dynamical systems whose solution exhibits multi-scale, chaotic or turbulent behavior. In this…

Machine Learning · Computer Science 2022-03-16 Sifan Wang , Shyam Sankaran , Paris Perdikaris

Recent advancements in state space models, notably Mamba, have demonstrated significant progress in modeling long sequences for tasks like language understanding. Yet, their application in vision tasks has not markedly surpassed the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Tao Huang , Xiaohuan Pei , Shan You , Fei Wang , Chen Qian , Chang Xu

Motion style transfer is a significant research direction in the field of computer vision, enabling virtual digital humans to rapidly switch between different styles of the same motion, thereby significantly enhancing the richness and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Ziyun Qian , Zeyu Xiao , Xingliang Jin , Dingkang Yang , Mingcheng Li , Zhenyi Wu , Dongliang Kou , Peng Zhai , Lihua Zhang

Change detection (CD) in multitemporal remote sensing imagery presents significant challenges for fine-grained recognition, owing to heterogeneity and spatiotemporal misalignment. However, existing methodologies based on vision transformers…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Lei Ding , Tong Liu , Xuanguang Liu , Xiangyun Liu , Haitao Guo , Jun Lu

Structured state space models' (SSMs) development in recent studies, such as Mamba and Mamba2, outperformed and solved the computational inefficiency of transformers and large language models at small to medium scale. In this work, we…

Machine Learning · Computer Science 2024-11-12 Emadeldeen Hamdan , Hongyi Pan , Ahmet Enis Cetin

Human activity recognition (HAR) on resource constrained devices requires high accuracy across diverse sensor setups. Selective state space models (SSMs) offer efficient linear time sequence processing, presenting a compelling alternative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Mridankan Mandal

Accurate medical image segmentation requires effective modeling of both global anatomical structures and fine-grained boundary details. Recent state space models (e.g., Vision Mamba) offer efficient long-range dependency modeling. However,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Fuhao Zhang , Lei Liu , Jialin Zhang , Ya-Nan Zhang , Nan Mu

Recently, spatio-temporal time-series prediction has developed rapidly, yet existing deep learning methods struggle with learning complex long-term spatio-temporal dependencies efficiently. The long-term spatio-temporal dependency learning…

Machine Learning · Computer Science 2026-05-25 Haolong Chen , Liang Zhang , Zhengyuan Xin , Guangxu Zhu

In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models. This is exemplified by the recent success of Mamba, showing better performance than…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Carmen Amo Alonso , Jerome Sieber , Melanie N. Zeilinger

Attention-based methods have demonstrated exceptional performance in modelling long-range dependencies on spherical cortical surfaces, surpassing traditional Geometric Deep Learning (GDL) models. However, their extensive inference time and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Rongzhao He , Weihao Zheng , Leilei Zhao , Ying Wang , Dalin Zhu , Dan Wu , Bin Hu

A comprehensive understanding of molecular structures is important for the prediction of molecular ground-state conformation involving property information. Meanwhile, state space model (e.g., Mamba) has recently emerged as a promising…

Chemical Physics · Physics 2025-11-14 Yuxin Gou , Aming Wu , Richang Hong , Meng Wang

Mamba state-space models (SSMs) have recently outperformed state-of-the-art (SOTA) Transformer large language models (LLMs) in various tasks and been widely adapted. However, a major concern for stable learning in recurrent-based deep…

Machine Learning · Computer Science 2025-09-01 John T. Halloran , Manbir Gulati , Paul F. Roysdon

Time series forecasting has made significant advances, including with Transformer-based models. The attention mechanism in Transformer effectively captures temporal dependencies by attending to all past inputs simultaneously. However, its…

Machine Learning · Computer Science 2025-11-04 Xiongxiao Xu , Canyu Chen , Yueqing Liang , Baixiang Huang , Guangji Bai , Liang Zhao , Kai Shu

Mamba, a State Space Model (SSM) that accelerates training by recasting recurrence as a parallel scan, has recently emerged as a linearly-scaling alternative to self-attention. Because of its unidirectional nature, each state in Mamba only…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Jingwei Zhang , Xi Han , Hong Qin , Mahdi S. Hosseini , Dimitris Samaras

Recurrent neural networks and Transformers have recently dominated most applications in hyperspectral (HS) imaging, owing to their capability to capture long-range dependencies from spectrum sequences. However, despite the success of these…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Jing Yao , Danfeng Hong , Chenyu Li , Jocelyn Chanussot

Training urban spatio-temporal foundation models that generalize well across diverse regions and cities is critical for deploying urban services in unseen or data-scarce regions. Recent studies have typically focused on fusing cross-domain…

Machine Learning · Computer Science 2026-02-04 Rui An , Yifeng Zhang , Ziran Liang , Wenqi Fan , Yuxuan Liang , Xuequn Shang , Qing Li

Transformers have become foundational for visual tasks such as object detection, semantic segmentation, and video understanding, but their quadratic complexity in attention mechanisms presents scalability challenges. To address these…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Fady Ibrahim , Guangjun Liu , Guanghui Wang

Deep learning has profoundly transformed remote sensing, yet prevailing architectures like Convolutional Neural Networks (CNNs) and Vision Transformers (ViTs) remain constrained by critical trade-offs: CNNs suffer from limited receptive…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Muyi Bao , Shuchang Lyu , Zhaoyang Xu , Huiyu Zhou , Jinchang Ren , Shiming Xiang , Xiangtai Li , Guangliang Cheng
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