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State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

Structured State Space Models (SSMs) have emerged as a transformative paradigm in sequence modeling, addressing critical limitations of Recurrent Neural Networks (RNNs) and Transformers, namely, vanishing gradients, sequential computation…

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

Machine Learning · Statistics 2024-12-17 Jiahe Lin , George Michailidis

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

In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models. This is exemplified by the recent success of Mamba, showing better performance than…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Carmen Amo Alonso , Jerome Sieber , Melanie N. Zeilinger

State space models (SSMs) have emerged as a powerful framework for modelling long-range dependencies in sequence data. Unlike traditional recurrent neural networks (RNNs) and convolutional neural networks (CNNs), SSMs offer a structured and…

Machine Learning · Computer Science 2024-10-07 Siddhanth Bhat

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

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

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

Structured State Space Models (SSMs), which are at the heart of the recently popular Mamba architecture, are powerful tools for sequence modeling. However, their theoretical foundation relies on a complex, multi-stage process of…

Machine Learning · Computer Science 2025-12-23 Sutashu Tomonaga , Kenji Doya , Noboru Murata

In the post-deep learning era, the Transformer architecture has demonstrated its powerful performance across pre-trained big models and various downstream tasks. However, the enormous computational demands of this architecture have deterred…

This paper studies sequence modeling for prediction tasks with long range dependencies. We propose a new formulation for state space models (SSMs) based on learning linear dynamical systems with the spectral filtering algorithm (Hazan et…

Machine Learning · Computer Science 2024-07-12 Naman Agarwal , Daniel Suo , Xinyi Chen , Elad Hazan

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

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) have emerged as a potent tool in sequence modeling tasks in recent years. These models approximate continuous systems using a set of basis functions and discretize them to handle input data, making them well-suited…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Disen Lan , Ziyu Zhou , Qingsong Wen , Yuxuan Liang

Structured state space models (SSMs) have recently emerged as a promising foundation for sequence modeling, with Mamba-based architectures demonstrating strong performance through input-dependent state transitions, albeit at considerable…

Machine Learning · Computer Science 2026-05-28 Hassan Saadatmand , Geoffrey I. Webb , Hamid Rezatofighi , Mahsa Salehi

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

Long-range dependency is one of the most desired properties of recent sequence models such as state-space models (particularly Mamba) and transformer models. New model architectures are being actively developed and benchmarked for…

Machine Learning · Computer Science 2025-09-05 Cong Ma , Kayvan Najarian

Video diffusion models have recently shown promise for world modeling through autoregressive frame prediction conditioned on actions. However, they struggle to maintain long-term memory due to the high computational cost associated with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Ryan Po , Yotam Nitzan , Richard Zhang , Berlin Chen , Tri Dao , Eli Shechtman , Gordon Wetzstein , Xun Huang

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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