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State-space models (SSMs) have recently emerged as a compelling alternative to Transformers for sequence modeling tasks. This paper presents a theoretical generalization analysis of selective SSMs, the core architectural component behind…

Machine Learning · Computer Science 2025-11-05 Arya Honarpisheh , Mustafa Bozdag , Octavia Camps , Mario Sznaier

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

While Transformers have been the main architecture behind deep learning's success in language modeling, state-space models (SSMs) such as Mamba have recently been shown to match or outperform Transformers at small to medium scale. We show…

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

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

Transformers dominate NLP and IR; but their inference inefficiencies and challenges in extrapolating to longer contexts have sparked interest in alternative model architectures. Among these, state space models (SSMs) like Mamba offer…

Computation and Language · Computer Science 2025-04-23 Zhichao Xu , Jinghua Yan , Ashim Gupta , Vivek Srikumar

This paper explores the capability of Mamba, a recently proposed architecture based on state space models (SSMs), as a competitive alternative to Transformer-based models. In the speech domain, well-designed Transformer-based models, such…

Sound · Computer Science 2024-06-25 Koichi Miyazaki , Yoshiki Masuyama , Masato Murata

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

Neural network models are increasingly used for state estimation in control and decision-making, yet it remains unclear to what extent they behave as principled filters in nonlinear dynamical systems. Unlike classical filters, which rely on…

Machine Learning · Computer Science 2026-05-12 Zhuochen Liu , Hans Walker , Rahul Jain

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) with selection mechanisms and hardware-aware architectures, namely Mamba, have recently demonstrated significant promise in long-sequence modeling. Since the self-attention mechanism in transformers has quadratic…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Hanwei Zhang , Ying Zhu , Dan Wang , Lijun Zhang , Tianxiang Chen , Zi Ye

Mamba-based State Space Models (SSM) have emerged as a promising alternative to the ubiquitous transformers. Despite the expressive power of transformers, the quadratic complexity of computing attention is a major impediment to scaling…

Machine Learning · Computer Science 2025-08-26 Trinayan Baruah , Kaustubh Shivdikar , Sara Prescott , David Kaeli

State Space Models (SSMs) have become serious contenders in the field of sequential modeling, challenging the dominance of Transformers. At the same time, Mixture of Experts (MoE) has significantly improved Transformer-based Large Language…

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

Selective state-space models (SSMs) like Mamba overcome some of the shortcomings of Transformers, such as quadratic computational complexity with sequence length and large inference-time memory requirements from the key-value cache.…

State Space Models (SSMs), particularly recent selective variants like Mamba, have emerged as a leading architecture for sequence modeling, challenging the dominance of Transformers. However, the success of these state-of-the-art models…

Machine Learning · Computer Science 2025-08-06 Yiyi Wang , Jian'an Zhang , Hongyi Duan , Haoyang Liu , Qingyang Li

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

Probabilistic State Space Models (SSMs) are essential for Reinforcement Learning (RL) from high-dimensional, partial information as they provide concise representations for control. Yet, they lack the computational efficiency of their…

Machine Learning · Computer Science 2024-06-24 Philipp Becker , Niklas Freymuth , Gerhard Neumann

State Space Models (SSMs), particularly the Mamba architecture, have recently emerged as powerful alternatives to Transformers for sequence modeling, offering linear computational complexity while achieving competitive performance. Yet,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Mohamed A. Mabrok , Yalda Zafari

Sequence modeling is a crucial area across various domains, including Natural Language Processing (NLP), speech recognition, time series forecasting, music generation, and bioinformatics. Recurrent Neural Networks (RNNs) and Long Short Term…

Machine Learning · Computer Science 2024-04-26 Badri Narayana Patro , Vijay Srinivas Agneeswaran

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
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