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State Space Models (SSMs) have emerged as a potent tool in sequence modeling tasks in recent years. These models approximate continuous systems using a set of basis functions and discretize them to handle input data, making them well-suited…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Disen Lan , Ziyu Zhou , Qingsong Wen , Yuxuan Liang

Time series modeling is a well-established problem, which often requires that methods (1) expressively represent complicated dependencies, (2) forecast long horizons, and (3) efficiently train over long sequences. State-space models (SSMs)…

Machine Learning · Computer Science 2023-03-17 Michael Zhang , Khaled K. Saab , Michael Poli , Tri Dao , Karan Goel , Christopher Ré

State Space Model (SSM) is a mathematical model used to describe and analyze the behavior of dynamic systems. This model has witnessed numerous applications in several fields, including control theory, signal processing, economics and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Xiao Liu , Chenxu Zhang , Lei Zhang

State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

Efficiently modeling large 2D contexts is essential for various fields including Giga-Pixel Whole Slide Imaging (WSI) and remote sensing. Transformer-based models offer high parallelism but face challenges due to their quadratic complexity…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Jingwei Zhang , Anh Tien Nguyen , Xi Han , Vincent Quoc-Huy Trinh , Hong Qin , Dimitris Samaras , Mahdi S. Hosseini

Multivariate time series forecasting is fundamental to numerous domains such as energy, finance, and environmental monitoring, where complex temporal dependencies and cross-variable interactions pose enduring challenges. Existing…

Machine Learning · Computer Science 2026-05-15 Xingsheng Chen , Xianpei Mu , Deyu Yi , Yilin Yuan , Xingwei He , Bo Gao , Regina Zhang , Pietro Lio , Siu-Ming Yiu

State Space Models (SSMs) have emerged as a promising alternative to the popular transformer-based models and have been increasingly gaining attention. Compared to transformers, SSMs excel at tasks with sequential data or longer contexts,…

Machine Learning · Computer Science 2025-03-17 Xingtai Lv , Youbang Sun , Kaiyan Zhang , Shang Qu , Xuekai Zhu , Yuchen Fan , Yi Wu , Ermo Hua , Xinwei Long , Ning Ding , Bowen Zhou

The problem of imputing multivariate time series spans a wide range of fields, from clinical healthcare to multi-sensor systems. Initially, Recurrent Neural Networks (RNNs) were employed for this task; however, their error accumulation…

Machine Learning · Computer Science 2024-10-10 Javier Solís-García , Belén Vega-Márquez , Juan A. Nepomuceno , Isabel A. Nepomuceno-Chamorro

Given the remarkable achievements in image generation through diffusion models, the research community has shown increasing interest in extending these models to video generation. Recent diffusion models for video generation have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Yuta Oshima , Shohei Taniguchi , Masahiro Suzuki , Yutaka Matsuo

Selective state space models (SSMs), such as Mamba, highly excel at capturing long-range dependencies in 1D sequential data, while their applications to 2D vision tasks still face challenges. Current visual SSMs often convert images into 1D…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Chaodong Xiao , Minghan Li , Zhengqiang Zhang , Deyu Meng , Lei Zhang

Structured state space models (SSMs) have recently emerged as a promising foundation for sequence modeling, with Mamba-based architectures demonstrating strong performance through input-dependent state transitions, albeit at considerable…

Machine Learning · Computer Science 2026-05-28 Hassan Saadatmand , Geoffrey I. Webb , Hamid Rezatofighi , Mahsa Salehi

Foundation models, now powering most of the exciting applications in deep learning, are almost universally based on the Transformer architecture and its core attention module. Many subquadratic-time architectures such as linear attention,…

Machine Learning · Computer Science 2024-06-03 Albert Gu , Tri Dao

Recent advancements in Large Multi-modal Models (LMMs) underscore the importance of scaling by increasing image-text paired data, achieving impressive performance on general tasks. Despite their effectiveness in broad applications,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Tianshuo Peng , Mingsheng Li , Jiakang Yuan , Hongbin Zhou , Renqiu Xia , Renrui Zhang , Lei Bai , Song Mao , Bin Wang , Aojun Zhou , Botian Shi , Tao Chen , Bo Zhang , Xiangyu Yue

In multivariate time series forecasting (MTSF), existing strategies for processing sequences are typically categorized as channel-independent and channel-mixing. The former treats all temporal information of each variable as a token,…

Artificial Intelligence · Computer Science 2025-07-08 Bing Fan , Shusen Ma , Yun-Bo Zhao , Yu Kang

Transformer-based deep learning methods have become the standard approach for modeling diverse data such as sequences, images, and graphs. These methods rely on self-attention, which treats data as an unordered set of elements. This ignores…

Machine Learning · Computer Science 2025-10-15 Aakash Lahoti , Tanya Marwah , Ratish Puduppully , Albert Gu

Recent State Space Models (SSMs) such as S4, S5, and Mamba have shown remarkable computational benefits in long-range temporal dependency modeling. However, in many sequence modeling problems, the underlying process is inherently modular…

Artificial Intelligence · Computer Science 2024-12-03 Jindong Jiang , Fei Deng , Gautam Singh , Minseung Lee , Sungjin Ahn

Sequence modeling plays a vital role across various domains, with recurrent neural networks being historically the predominant method of performing these tasks. However, the emergence of transformers has altered this paradigm due to their…

State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

Populations and Evolution · Quantitative Biology 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

The Mamba layer offers an efficient selective state space model (SSM) that is highly effective in modeling multiple domains, including NLP, long-range sequence processing, and computer vision. Selective SSMs are viewed as dual models, in…

Machine Learning · Computer Science 2024-04-02 Ameen Ali , Itamar Zimerman , Lior Wolf

State-Space Models (SSMs) have emerged as an efficient alternative to transformers, yet existing visual SSMs retain deeply ingrained biases from their origins in natural language processing. In this paper, we address these limitations by…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Enis Baty , Alejandro Hernández Díaz , Rebecca Davidson , Chris Bridges , Simon Hadfield
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