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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) are a class of networks for sequence learning that benefit from fixed state size and linear complexity with respect to sequence length, contrasting the quadratic scaling of typical attention mechanisms. Inspired…

Machine Learning · Computer Science 2025-10-02 Jared Boyer , T. Konstantin Rusch , Daniela Rus

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

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

Existing CNN-based speech separation models face local receptive field limitations and cannot effectively capture long time dependencies. Although LSTM and Transformer-based speech separation models can avoid this problem, their high…

Sound · Computer Science 2024-09-11 Kai Li , Guo Chen , Runxuan Yang , Xiaolin Hu

Predicting user preferences and sequential dependencies based on historical behavior is the core goal of sequential recommendation. Although attention-based models have shown effectiveness in this field, they often struggle with inference…

Machine Learning · Computer Science 2024-06-11 Yuda Wang , Xuxin He , Shengxin Zhu

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…

Recent work has revealed that state space models (SSMs), while efficient for long-sequence processing, are fundamentally limited in their ability to represent formal languages-particularly due to time-invariant and real-valued recurrence…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Arjun Karuvally , Franz Nowak , Anderson T. Keller , Carmen Amo Alonso , Terrence J. Sejnowski , Hava T. Siegelmann

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

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

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) like Mamba2 are a promising alternative to Transformers, with faster theoretical training and inference times -- especially for long context lengths. Recent work on Matryoshka Representation Learning -- and its…

Machine Learning · Computer Science 2024-10-10 Abhinav Shukla , Sai Vemprala , Aditya Kusupati , Ashish Kapoor

State Space Models (SSMs) have emerged as a promising alternative to Transformers for long-context sequence modeling, offering linear $O(N)$ computational complexity compared to the Transformer's quadratic $O(N^2)$ scaling. This paper…

Machine Learning · Computer Science 2026-01-06 Abidemi Koledoye , Chinemerem Unachukwu , Gold Nwobu , Hasin Rana

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

Large pre-trained models have achieved outstanding results in sequence modeling. The Transformer block and its attention mechanism have been the main drivers of the success of these models. Recently, alternative architectures, such as…

Machine Learning · Computer Science 2025-01-29 J. Pablo Muñoz , Jinjie Yuan , Nilesh Jain

Time series forecasting has made significant advances, including with Transformer-based models. The attention mechanism in Transformer effectively captures temporal dependencies by attending to all past inputs simultaneously. However, its…

Machine Learning · Computer Science 2025-11-04 Xiongxiao Xu , Canyu Chen , Yueqing Liang , Baixiang Huang , Guangji Bai , Liang Zhao , Kai Shu

Effective modeling of complex spatiotemporal dependencies in long-form videos remains an open problem. The recently proposed Structured State-Space Sequence (S4) model with its linear complexity offers a promising direction in this space.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jue Wang , Wentao Zhu , Pichao Wang , Xiang Yu , Linda Liu , Mohamed Omar , Raffay Hamid

Time series modeling is a well-established problem, which often requires that methods (1) expressively represent complicated dependencies, (2) forecast long horizons, and (3) efficiently train over long sequences. State-space models (SSMs)…

Machine Learning · Computer Science 2023-03-17 Michael Zhang , Khaled K. Saab , Michael Poli , Tri Dao , Karan Goel , Christopher Ré

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

Modeling long-range dependencies in sequential data is a crucial step in sequence learning. A recently developed model, the Structured State Space (S4), demonstrated significant effectiveness in modeling long-range sequences. However, It is…

Machine Learning · Computer Science 2024-03-27 Jiqun Chu , Zuoquan Lin