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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

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

State-space models (SSMs) have emerged as an efficient strategy for building powerful language models, avoiding the quadratic complexity of computing attention in transformers. Despite their promise, the interpretability and steerability of…

Machine Learning · Computer Science 2026-05-22 Vamshi Sunku Mohan , Kaustubh Gupta , Aneesha Das , Chandan Singh

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 emerged as a potential alternative architecture for building large language models (LLMs) compared to the previously ubiquitous transformer architecture. One theoretical weakness of transformers is that they…

Machine Learning · Computer Science 2025-03-07 William Merrill , Jackson Petty , Ashish Sabharwal

Existing models encounter bottlenecks in balancing performance and computational efficiency when modeling long sequences. Although the state space model (SSM) has achieved remarkable success in handling long sequence tasks, it still faces…

Machine Learning · Computer Science 2025-05-06 Tongyi Liang , Han-Xiong Li

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

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 emerged as an efficient alternative to the transformer architecture. Recent studies show that SSMs can match or surpass Transformers on code understanding tasks, such as code retrieval, when trained under…

Artificial Intelligence · Computer Science 2026-02-09 Jiali Wu , Abhinav Anand , Shweta Verma , Mira Mezini

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

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), 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

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) 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

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

State-space models (SSMs), particularly the Mamba architecture, have emerged as powerful alternatives to Transformers for sequence modeling, offering linear-time complexity and competitive performance across diverse tasks. However, their…

Machine Learning · Computer Science 2025-09-30 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

State-space models (SSMs) are an important modeling framework for analyzing ecological time series. These hierarchical models are commonly used to model population dynamics, animal movement, and capture-recapture data, and are now…

State-Space Models (SSMs) have emerged as efficient alternatives to transformers for sequential data tasks, offering linear or near-linear scalability with sequence length, making them ideal for long-sequence applications in NLP, vision,…

Machine Learning · Computer Science 2025-04-01 Arghadip Das , Arnab Raha , Shamik Kundu , Soumendu Kumar Ghosh , Deepak Mathaikutty , Vijay Raghunathan

State-space models (SSMs) have recently demonstrated competitive performance to transformers at large-scale language modeling benchmarks while achieving linear time and memory complexity as a function of sequence length. Mamba, a recently…

Computation and Language · Computer Science 2024-02-06 Quentin Anthony , Yury Tokpanov , Paolo Glorioso , Beren Millidge

Structured state space models (SSMs), the core engine behind prominent neural networks such as S4 and Mamba, are linear dynamical systems adhering to a specified structure, most notably diagonal. In contrast to typical neural network…

Machine Learning · Computer Science 2024-11-01 Yuval Ran-Milo , Eden Lumbroso , Edo Cohen-Karlik , Raja Giryes , Amir Globerson , Nadav Cohen