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Selective state space models (SSM), such as Mamba, have gained prominence for their effectiveness in modeling sequential data. Despite their outstanding empirical performance, a comprehensive theoretical understanding of deep selective SSM…

Machine Learning · Computer Science 2025-03-10 Thieu N Vo , Tung D. Pham , Xin T. Tong , Tan Minh Nguyen

A key claim in recent work on Selective State Space Models is that selectivity, the ability to focus on relevant information while filtering irrelevant inputs, requires breaking the Linear Time-Invariant (LTI) property through time-varying…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Umberto Casti , Giacomo Baggio , Sandro Zampieri , Fabio Pasqualetti

We propose ss-Mamba, a novel foundation model that enhances time series forecasting by integrating semantic-aware embeddings and adaptive spline-based temporal encoding within a selective state-space modeling framework. Building upon the…

Machine Learning · Computer Science 2025-06-19 Zuochen Ye

Vision Mambas (ViMs) achieve remarkable success with sub-quadratic complexity, but their efficiency remains constrained by quadratic token scaling with image resolution. While existing methods address token redundancy, they overlook ViMs'…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yan Wen , Peng Ye , Lin Zhang , Baopu Li , Jiakang Yuan , Yaoxin Yang , Tao Chen

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

Modeling multivariate time series is a well-established problem with a wide range of applications from healthcare to financial markets. Traditional State Space Models (SSMs) are classical approaches for univariate time series modeling due…

Machine Learning · Computer Science 2024-06-07 Ali Behrouz , Michele Santacatterina , Ramin Zabih

Skeleton-based action recognition has garnered significant attention in the computer vision community. Inspired by the recent success of the selective state-space model (SSM) Mamba in modeling 1D temporal sequences, we propose TSkel-Mamba,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Yanan Liu , Jun Liu , Hao Zhang , Dan Xu , Hossein Rahmani , Mohammed Bennamoun , Qiuhong Ke

Structured state-space models (SSMs) such as S4, stemming from the seminal work of Gu et al., are gaining popularity as effective approaches for modeling sequential data. Deep SSMs demonstrate outstanding performance across a diverse set of…

Machine Learning · Computer Science 2025-01-07 Nicola Muca Cirone , Antonio Orvieto , Benjamin Walker , Cristopher Salvi , Terry Lyons

Structured State Space Models (SSMs), which are at the heart of the recently popular Mamba architecture, are powerful tools for sequence modeling. However, their theoretical foundation relies on a complex, multi-stage process of…

Machine Learning · Computer Science 2025-12-23 Sutashu Tomonaga , Kenji Doya , Noboru Murata

Structured State Space Models (SSMs) have emerged as a transformative paradigm in sequence modeling, addressing critical limitations of Recurrent Neural Networks (RNNs) and Transformers, namely, vanishing gradients, sequential computation…

Selective state-space models (SSMs) are an emerging alternative to the Transformer, offering the unique advantage of parallel training and sequential inference. Although these models have shown promising performance on a variety of tasks,…

Machine Learning · Computer Science 2025-07-08 Aleksandar Terzić , Michael Hersche , Giacomo Camposampiero , Thomas Hofmann , Abu Sebastian , Abbas Rahimi

The Sequential Recommendation modeling paradigm is shifting from Transformer to Mamba architecture, which comprises two generations: Mamba1, based on the State Space Model (SSM), and Mamba2, based on State Space Duality (SSD). Although SSD…

Information Retrieval · Computer Science 2025-08-21 Hao Fan , Mengyi Zhu , Yanrong Hu , Hailin Feng , Zhijie He , Hongjiu Liu , Qingyang Liu

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

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

Time series prediction plays a pivotal role across diverse domains such as finance, healthcare, energy systems, and environmental modeling. However, existing approaches often struggle to balance efficiency, scalability, and accuracy,…

Machine Learning · Computer Science 2026-01-13 Xingsheng Chen , Regina Zhang , Bo Gao , Xingwei He , Xiaofeng Liu , Pietro Lio , Kwok-Yan Lam , Siu-Ming Yiu

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

Temporal Action Detection (TAD) in untrimmed videos poses significant challenges, particularly for Activities of Daily Living (ADL) requiring models to (1) process long-duration videos, (2) capture temporal variations in actions, and (3)…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Arkaprava Sinha , Monish Soundar Raj , Pu Wang , Ahmed Helmy , Hieu Le , Srijan Das

Although MODIS time series data are critical for supporting dynamic, large-scale land cover land use classification, it is a challenging task to capture the subtle class signature information due to key MODIS difficulties, e.g., high…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Zack Dewis , Zhengsen Xu , Yimin Zhu , Motasem Alkayid , Mabel Heffring , Lincoln Linlin Xu

Recent advances in sequence modeling have introduced selective SSMs as promising alternatives to Transformer architectures, offering theoretical computational efficiency and sequence processing advantages. A comprehensive understanding of…

Machine Learning · Computer Science 2025-12-01 Abdullah Al Asif , Mobina Kashaniyan , Sixing Yu , Juan Pablo Muñoz , Ali Jannesari

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…

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