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State-space models (SSMs) face a fundamental trade-off between efficiency and expressivity that is mainly dictated by the structure of the model's transition matrix. Unstructured transition matrices enable maximal expressivity, as measured…

The recent empirical success of Mamba and other selective state space models (SSMs) has renewed interest in non-attention architectures for sequence modeling, yet their theoretical foundations remain underexplored. We present a first-step…

Machine Learning · Computer Science 2026-02-16 Mugunthan Shandirasegaran , Hongkang Li , Songyang Zhang , Meng Wang , Shuai Zhang

Structured state space sequence (S4) models have recently achieved state-of-the-art performance on long-range sequence modeling tasks. These models also have fast inference speeds and parallelisable training, making them potentially useful…

Machine Learning · Computer Science 2023-11-27 Chris Lu , Yannick Schroecker , Albert Gu , Emilio Parisotto , Jakob Foerster , Satinder Singh , Feryal Behbahani

State Space Models (SSMs) have become the leading alternative to Transformers for sequence modeling. Their primary advantage is efficiency in long-context and long-form generation, enabled by fixed-size memory and linear scaling of…

Machine Learning · Computer Science 2025-10-17 Eran Malach , Omid Saremi , Sinead Williamson , Arwen Bradley , Aryo Lotfi , Emmanuel Abbe , Josh Susskind , Etai Littwin

For multivariate time series (MTS) tasks, previous state space models (SSMs) followed the modeling paradigm of Transformer-based methods. However, none of them explicitly model the complex dependencies of MTS: the Channel Dependency…

Machine Learning · Computer Science 2024-10-02 Haixiang Wu

State-Space Models (SSMs) -- structured SSMs (S4, S4D, DSS, S5), selective SSMs (Mamba, Mamba-2), and hybrid architectures (Jamba) -- are deployed in safety-critical long-context applications: genomic analysis, clinical time-series…

Cryptography and Security · Computer Science 2026-04-21 Manoj Parmar

Recent advancements in State Space Models (SSMs) have attracted significant interest, particularly in models optimized for parallel training and handling long-range dependencies. Architectures like Mamba have scaled to billions of…

Machine Learning · Computer Science 2024-10-22 Zheng Zhan , Yushu Wu , Zhenglun Kong , Changdi Yang , Yifan Gong , Xuan Shen , Xue Lin , Pu Zhao , Yanzhi Wang

The Transformer architecture has shown a remarkable ability in modeling global relationships. However, it poses a significant computational challenge when processing high-dimensional medical images. This hinders its development and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Zhaohu Xing , Tian Ye , Yijun Yang , Guang Liu , Lei Zhu

Human motion generation stands as a significant pursuit in generative computer vision, while achieving long-sequence and efficient motion generation remains challenging. Recent advancements in state space models (SSMs), notably Mamba, have…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Zeyu Zhang , Akide Liu , Ian Reid , Richard Hartley , Bohan Zhuang , Hao Tang

State Space Models (SSMs) and Hidden Markov Models (HMMs) are foundational frameworks for modeling sequential data with latent variables and are widely used in signal processing, control theory, and machine learning. Despite their shared…

Machine Learning · Computer Science 2026-01-21 Aydin Ghojogh , M. Hadi Sepanj , Benyamin Ghojogh

Despite the significant achievements of Vision Transformers (ViTs) in various vision tasks, they are constrained by the quadratic complexity. Recently, State Space Models (SSMs) have garnered widespread attention due to their global…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Yuheng Shi , Minjing Dong , Chang Xu

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

Deep neural networks based on state space models (SSMs) are attracting significant attention in sequence modeling since their computational cost is much smaller than that of Transformers. While the capabilities of SSMs have been…

Machine Learning · Statistics 2025-03-06 Naoki Nishikawa , Taiji Suzuki

Transformers have demonstrated impressive results for 3D point cloud semantic segmentation. However, the quadratic complexity of transformer makes computation costs high, limiting the number of points that can be processed simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Zhuoyuan Li , Yubo Ai , Jiahao Lu , ChuXin Wang , Jiacheng Deng , Hanzhi Chang , Yanzhe Liang , Wenfei Yang , Shifeng Zhang , Tianzhu Zhang

State Space Models (SSMs) have emerged as an appealing alternative to Transformers for large language models, achieving state-of-the-art accuracy with constant memory complexity which allows for holding longer context lengths than…

Machine Learning · Computer Science 2024-12-10 Hung-Yueh Chiang , Chi-Chih Chang , Natalia Frumkin , Kai-Chiang Wu , Diana Marculescu

State space models (SSMs) have emerged as an efficient alternative to Transformer models for language modeling, offering linear computational complexity and constant memory usage as context length increases. However, despite their…

Computation and Language · Computer Science 2025-04-23 Zhifan Ye , Kejing Xia , Yonggan Fu , Xin Dong , Jihoon Hong , Xiangchi Yuan , Shizhe Diao , Jan Kautz , Pavlo Molchanov , Yingyan Celine Lin

Image restoration requires simultaneously preserving fine-grained local structures and maintaining long-range spatial coherence. While convolutional networks struggle with limited receptive fields, and Transformers incur quadratic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Mohammed Hassanin , Nour Moustafa , Weijian Deng , Ibrahim Radwan

State-space models (SSMs), such as Mamba (Gu & Dao, 2023), have been proposed as alternatives to Transformer networks in language modeling, by incorporating gating, convolutions, and input-dependent token selection to mitigate the quadratic…

Machine Learning · Computer Science 2024-04-26 Jongho Park , Jaeseung Park , Zheyang Xiong , Nayoung Lee , Jaewoong Cho , Samet Oymak , Kangwook Lee , Dimitris Papailiopoulos

State Space Models (SSMs) have emerged as powerful components for sequence modeling, enabling efficient handling of long-range dependencies via linear recurrence and convolutional computation. However, their effectiveness depends heavily on…

Machine Learning · Computer Science 2025-06-10 Hossein Babaei , Mel White , Richard G. Baraniuk

Mamba, a selective state-space model (SSM), has emerged as an efficient alternative to Transformers for speech modeling, enabling long-sequence processing with linear complexity. While effective in speech separation, existing approaches,…

Sound · Computer Science 2026-01-26 Ke Xue , Chang Sun , Rongfei Fan , Jing Wang , Han Hu