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Transformers, powered by the attention mechanism, are the backbone of most foundation models, yet they suffer from quadratic complexity and difficulties in dealing with long-range dependencies in the input sequence. Recent work has shown…

Machine Learning · Computer Science 2026-02-03 Riccardo Zattra , Giacomo Baggio , Umberto Casti , Augusto Ferrante , Francesco Ticozzi

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

Transformer models have achieved superior performance in various natural language processing tasks. However, the quadratic computational cost of the attention mechanism limits its practicality for long sequences. There are existing…

Computation and Language · Computer Science 2022-12-19 Simiao Zuo , Xiaodong Liu , Jian Jiao , Denis Charles , Eren Manavoglu , Tuo Zhao , Jianfeng Gao

Structured State Spaces for Sequences (S4) is a recently proposed sequence model with successful applications in various tasks, e.g. vision, language modeling, and audio. Thanks to its mathematical formulation, it compresses its input to a…

Computation and Language · Computer Science 2023-04-26 Ali Vardasbi , Telmo Pessoa Pires , Robin M. Schmidt , Stephan Peitz

State space models (SSMs) have gained attention by showing potential to outperform Transformers. However, previous studies have not sufficiently addressed the mechanisms underlying their high performance owing to a lack of theoretical…

Machine Learning · Computer Science 2025-10-02 JingChuan Guan , Tomoyuki Kubota , Yasuo Kuniyoshi , Kohei Nakajima

Recommender systems aim to estimate the dynamically changing user preferences and sequential dependencies between historical user behaviour and metadata. Although transformer-based models have proven to be effective in sequential…

Information Retrieval · Computer Science 2025-10-07 Mark Obozov , Makar Baderko , Stepan Kulibaba , Nikolay Kutuzov , Alexander Gasnikov

State-space models (SSMs) have emerged as a powerful foundation for long-range sequence modeling, with the HiPPO framework showing that continuous-time projection operators can be used to derive stable, memory-efficient dynamical systems…

Machine Learning · Computer Science 2026-02-27 Ruben Solozabal , Velibor Bojkovic , Hilal Alquabeh , Klea Ziu , Kentaro Inui , Martin Takac

State space models (SSMs) are a powerful and widely-used class of probabilistic models for analysing time-series data across various fields, from econometrics to robotics. Despite their prevalence, existing software frameworks for SSMs…

Computation · Statistics 2025-05-30 Tim Hargreaves , Qing Li , Charles Knipp , Frederic Wantiez , Simon J. Godsill , Hong Ge

A high-performance image compression algorithm is crucial for real-time information transmission across numerous fields. Despite rapid progress in image compression, computational inefficiency and poor redundancy modeling still pose…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Fanhu Zeng , Hao Tang , Yihua Shao , Siyu Chen , Ling Shao , Yan Wang

State Space Models (SSMs) have the advantage of keeping linear computational complexity compared to attention modules in transformers, and have been applied to vision tasks as a new type of powerful vision foundation model. Inspired by the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zheng Zhan , Zhenglun Kong , Yifan Gong , Yushu Wu , Zichong Meng , Hangyu Zheng , Xuan Shen , Stratis Ioannidis , Wei Niu , Pu Zhao , Yanzhi Wang

The goal of this paper is to provide a system identification-friendly introduction to the Structured State-space Models (SSMs). These models have become recently popular in the machine learning community since, owing to their…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Fabio Bonassi , Carl Andersson , Per Mattsson , Thomas B. Schön

In recent years, visually-rich document understanding has attracted increasing attention. Transformer-based pre-trained models have become the mainstream approach, yielding significant performance gains in this field. However, the…

Computation and Language · Computer Science 2025-02-11 Pengfei Hu , Zhenrong Zhang , Jiefeng Ma , Shuhang Liu , Jun Du , Jianshu Zhang

Effectively modeling long spatiotemporal sequences is challenging due to the need to model complex spatial correlations and long-range temporal dependencies simultaneously. ConvLSTMs attempt to address this by updating tensor-valued states…

Machine Learning · Computer Science 2023-10-31 Jimmy T. H. Smith , Shalini De Mello , Jan Kautz , Scott W. Linderman , Wonmin Byeon

This work explores the in-context learning capabilities of State Space Models (SSMs) and presents, to the best of our knowledge, the first theoretical explanation of a possible underlying mechanism. We introduce a novel weight construction…

Machine Learning · Computer Science 2025-08-05 Federico Arangath Joseph , Kilian Konstantin Haefeli , Noah Liniger , Caglar Gulcehre

State space models (SSMs), particularly Mamba, have shown promise in NLP tasks and are increasingly applied to vision tasks. However, most Mamba-based vision models focus on network architecture and scan paths, with little attention to the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Yujie Zhu , Xinyi Zhang , Yekai Lu , Guang Yang , Faming Fang , Guixu Zhang

This paper presents an indirect data-driven output feedback controller synthesis for nonlinear systems, leveraging Structured State-space Models (SSMs) as surrogate models. SSMs have emerged as a compelling alternative in modelling…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Muhammad Zakwan , Vaibhav Gupta , Alireza Karimi , Efe C. Balta , Giancarlo Ferrari-Trecate

Dense video captioning is a challenging video understanding task which aims to simultaneously segment the video into a sequence of meaningful consecutive events and to generate detailed captions to accurately describe each event. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 AJ Piergiovanni , Ganesh Satish Mallya , Dahun Kim , Anelia Angelova

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

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) offer a promising architecture for sequence modeling, providing an alternative to Transformers by replacing expensive self-attention with linear recurrences. In this paper, we propose a simple yet effective trick…

Machine Learning · Computer Science 2025-05-28 Woomin Song , Jihoon Tack , Sangwoo Mo , Seunghyuk Oh , Jinwoo Shin