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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

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

Transformers excel at in-context retrieval but suffer from quadratic complexity with sequence length, while State Space Models (SSMs) offer efficient linear-time processing but have limited retrieval capabilities. We investigate whether…

Artificial Intelligence · Computer Science 2026-03-04 Georgios Pantazopoulos , Malvina Nikandrou , Ioannis Konstas , Alessandro Suglia

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

Spiking neural networks (SNNs) provide an energy-efficient solution by utilizing the spike-based and sparse nature of biological systems. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on long…

Neural and Evolutionary Computing · Computer Science 2024-10-24 Yan Zhong , Ruoyu Zhao , Chao Wang , Qinghai Guo , Jianguo Zhang , Zhichao Lu , Luziwei Leng

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…

Emerging applications such as AR are driving demands for machine intelligence capable of processing continuous and/or long-context inputs on local devices. However, currently dominant models based on Transformer architecture suffers from…

Hardware Architecture · Computer Science 2026-03-24 Saptarshi Mitra , Rachid Karami , Haocheng Xu , Sitao Huang , Hyoukjun Kwon

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

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

Modern large language models are built on sequence modeling via next-token prediction. While the Transformer remains the dominant architecture for sequence modeling, its quadratic decoding complexity in sequence length poses a major…

Machine Learning · Computer Science 2024-10-03 Bo Liu , Rui Wang , Lemeng Wu , Yihao Feng , Peter Stone , Qiang Liu

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

State space models (SSMs) have high performance on long sequence modeling but require sophisticated initialization techniques and specialized implementations for high quality and runtime performance. We study whether a simple alternative…

Machine Learning · Computer Science 2023-02-15 Daniel Y. Fu , Elliot L. Epstein , Eric Nguyen , Armin W. Thomas , Michael Zhang , Tri Dao , Atri Rudra , Christopher Ré

State space models (SSMs) have recently emerged as a powerful framework for long sequence processing, outperforming traditional methods on diverse benchmarks. Fundamentally, SSMs can generalize both recurrent and convolutional networks and…

Signal Processing · Electrical Eng. & Systems 2025-12-24 Xiaoyu Zhang , Mingtao Hu , Sen Lu , Soohyeon Kim , Eric Yeu-Jer Lee , Yuyang Liu , Wei D. Lu

Structured state space sequence (S4) models have recently achieved state-of-the-art performance on long-range sequence modeling tasks. These models also have fast inference speeds and parallelisable training, making them potentially useful…

Machine Learning · Computer Science 2023-11-27 Chris Lu , Yannick Schroecker , Albert Gu , Emilio Parisotto , Jakob Foerster , Satinder Singh , Feryal Behbahani

Recent advancements in foundation models for tabular data, such as TabPFN, demonstrated that pretrained Transformer architectures can approximate Bayesian inference with high predictive performance. However, Transformers suffer from…

Machine Learning · Computer Science 2025-12-12 Felix Koch , Marcel Wever , Fabian Raisch , Benjamin Tischler

Given the remarkable achievements in image generation through diffusion models, the research community has shown increasing interest in extending these models to video generation. Recent diffusion models for video generation have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Yuta Oshima , Shohei Taniguchi , Masahiro Suzuki , Yutaka Matsuo

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 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

Modeling multivariate time series is a well-established problem with a wide range of applications from healthcare to financial markets. Traditional State Space Models (SSMs) are classical approaches for univariate time series modeling due…

Machine Learning · Computer Science 2024-06-07 Ali Behrouz , Michele Santacatterina , Ramin Zabih

Spiking neural networks (SNNs) take inspiration from the brain to enable energy-efficient computations. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on modern sequential tasks, as they inherit…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Matei Ioan Stan , Oliver Rhodes
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