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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 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

State Space Models (SSMs) have recently enjoyed a rise to prominence in the field of deep learning for sequence modeling, especially as an alternative to Transformers. Their success stems from avoiding two well-known drawbacks of…

Machine Learning · Computer Science 2025-01-22 Stefano Rando , Luca Romani , Matteo Migliarini , Luca Franco , Denis Gudovskiy , Fabio Galasso

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

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

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…

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 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…

Recent State Space Models (SSMs) such as S4, S5, and Mamba have shown remarkable computational benefits in long-range temporal dependency modeling. However, in many sequence modeling problems, the underlying process is inherently modular…

Artificial Intelligence · Computer Science 2024-12-03 Jindong Jiang , Fei Deng , Gautam Singh , Minseung Lee , Sungjin Ahn

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

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

Existing models encounter bottlenecks in balancing performance and computational efficiency when modeling long sequences. Although the state space model (SSM) has achieved remarkable success in handling long sequence tasks, it still faces…

Machine Learning · Computer Science 2025-05-06 Tongyi Liang , Han-Xiong Li

Long Short-Term Memory (LSTM) is one of the most powerful sequence models. Despite the strong performance, however, it lacks the nice interpretability as in state space models. In this paper, we present a way to combine the best of both…

Machine Learning · Computer Science 2017-12-04 Xun Zheng , Manzil Zaheer , Amr Ahmed , Yuan Wang , Eric P Xing , Alexander J Smola

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

A central goal of sequence modeling is designing a single principled model that can address sequence data across a range of modalities and tasks, particularly on long-range dependencies. Although conventional models including RNNs, CNNs,…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Karan Goel , Christopher Ré

In this paper, we investigate the long-term memory learning capabilities of state-space models (SSMs) from the perspective of parameterization. We prove that state-space models without any reparameterization exhibit a memory limitation…

Machine Learning · Computer Science 2024-06-06 Shida Wang , Qianxiao Li

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

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

A central challenge in sequence modeling is efficiently handling tasks with extended contexts. While recent state-space models (SSMs) have made significant progress in this area, they often lack input-dependent filtering or require…

Machine Learning · Computer Science 2024-10-07 Taylan Soydan , Nikola Zubić , Nico Messikommer , Siddhartha Mishra , Davide Scaramuzza

Known as low energy consumption networks, spiking neural networks (SNNs) have gained a lot of attention within the past decades. While SNNs are increasing competitive with artificial neural networks (ANNs) for vision tasks, they are rarely…

Computation and Language · Computer Science 2024-12-25 Shuaijie Shen , Chao Wang , Renzhuo Huang , Yan Zhong , Qinghai Guo , Zhichao Lu , Jianguo Zhang , Luziwei Leng
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