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Related papers: State Space Models as Foundation Models: A Control…

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The recent success of State-Space Models (SSMs) in sequence modeling has motivated their adaptation to graph learning, giving rise to Graph State-Space Models (GSSMs). However, existing GSSMs operate by applying SSM modules to sequences…

Machine Learning · Computer Science 2026-05-27 Andrea Ceni , Alessio Gravina , Claudio Gallicchio , Davide Bacciu , Carola-Bibiane Schonlieb , Moshe Eliasof

A State Space Model (SSM) is a foundation model in time series analysis, which has recently been shown as an alternative to transformers in sequence modeling. In this paper, we theoretically study the generalization of SSMs and propose…

Machine Learning · Computer Science 2024-05-07 Fusheng Liu , Qianxiao Li

Physics-informed machine learning (PIML) has emerged as a promising alternative to classical methods for predicting dynamical systems, offering faster and more generalizable solutions. However, existing models, including recurrent neural…

Machine Learning · Computer Science 2025-01-28 Zheyuan Hu , Nazanin Ahmadi Daryakenari , Qianli Shen , Kenji Kawaguchi , George Em Karniadakis

Large language models (LLMs) face a daunting challenge due to the excessive computational and memory requirements of the commonly used Transformer architecture. While state space model (SSM) is a new type of foundational network…

Computation and Language · Computer Science 2024-03-06 Wei He , Kai Han , Yehui Tang , Chengcheng Wang , Yujie Yang , Tianyu Guo , Yunhe Wang

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

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 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

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

As one of the most representative DL techniques, Transformer architecture has empowered numerous advanced models, especially the large language models (LLMs) that comprise billions of parameters, becoming a cornerstone in deep learning.…

Machine Learning · Computer Science 2026-04-07 Haohao Qu , Liangbo Ning , Rui An , Wenqi Fan , Tyler Derr , Hui Liu , Xin Xu , Qing Li

State Space Models (SSMs), developed to tackle long sequence modeling tasks efficiently, offer both parallelizable training and fast inference. At their core are recurrent dynamical systems that maintain a hidden state, with update costs…

Machine Learning · Computer Science 2026-02-26 Makram Chahine , Philipp Nazari , Daniela Rus , T. Konstantin Rusch

Recent advancements in recurrent neural networks (RNNs) have reinvigorated interest in their application to natural language processing tasks, particularly with the development of more efficient and parallelizable variants known as state…

Computation and Language · Computer Science 2025-03-11 Vinoth Nandakumar , Qiang Qu , Peng Mi , Tongliang Liu

Deep state space models (SSMs) are an actively researched model class for temporal models developed in the deep learning community which have a close connection to classic SSMs. The use of deep SSMs as a black-box identification model can…

Systems and Control · Electrical Eng. & Systems 2021-06-21 Daniel Gedon , Niklas Wahlström , Thomas B. Schön , Lennart Ljung

State Space Models (SSMs)-most notably RNNs-have historically played a central role in sequential modeling. Although attention mechanisms such as Transformers have since dominated due to their ability to model global context, their…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Hyun-kyu Ko , Youbin Kim , Jihyeon Park , Dongheok Park , Gyeongjin Kang , Wonjun Cho , Hyung Yi , Eunbyung Park

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

State Space Models (SSMs) are powerful tools for modeling sequential data in computer vision and time series analysis domains. However, traditional SSMs are limited by fixed, one-dimensional sequential processing, which restricts their…

Machine Learning · Computer Science 2025-04-08 Nikola Zubić , Davide Scaramuzza

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

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

Despite the promising performance of state space models (SSMs) in long sequence modeling, limitations still exist. Advanced SSMs like S5 and S6 (Mamba) in addressing non-uniform sampling, their recursive structures impede efficient SSM…

Machine Learning · Computer Science 2024-06-11 Biqing Qi , Junqi Gao , Kaiyan Zhang , Dong Li , Jianxing Liu , Ligang Wu , Bowen Zhou

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

Mamba, a special case of the State Space Model, is gaining popularity as an alternative to template-based deep learning approaches in medical image analysis. While transformers are powerful architectures, they have drawbacks, including…