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State space models (SSMs) have shown remarkable empirical performance on many long sequence modeling tasks, but a theoretical understanding of these models is still lacking. In this work, we study the learning dynamics of linear SSMs to…

Machine Learning · Computer Science 2024-07-11 Jakub Smékal , Jimmy T. H. Smith , Michael Kleinman , Dan Biderman , Scott W. Linderman

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

State Space Models (SSMs) are emerging as a compelling alternative to Transformers because of their consistent memory usage and high performance. Despite this, scaling up SSMs on cloud services or limited-resource devices is challenging due…

Machine Learning · Computer Science 2025-11-07 Hung-Yueh Chiang , Chi-Chih Chang , Natalia Frumkin , Kai-Chiang Wu , Mohamed S. Abdelfattah , Diana Marculescu

Sequence parallelism (SP), which divides the sequence dimension of input tensors across multiple computational devices, is becoming key to unlocking the long-context capabilities of generative AI models. This paper investigates the…

Machine Learning · Computer Science 2024-07-03 Jiarui Fang , Shangchun Zhao

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

Efficiently modeling sequences with infinite context length has long been a challenging problem. Previous approaches have either suffered from quadratic computational complexity or limited extrapolation ability in length generalization. In…

Computation and Language · Computer Science 2025-03-03 Liliang Ren , Yang Liu , Yadong Lu , Yelong Shen , Chen Liang , Weizhu Chen

In the field of image recognition, spiking neural networks (SNNs) have achieved performance comparable to conventional artificial neural networks (ANNs). In such applications, SNNs essentially function as traditional neural networks with…

Neural and Evolutionary Computing · Computer Science 2025-05-27 Enqi Zhang

Spiking neural networks have garnered increasing attention due to their energy efficiency, multiplication-free computation, and sparse event-based processing. In parallel, state space models have emerged as scalable alternatives to…

Machine Learning · Computer Science 2025-12-22 Kartikay Agrawal , Abhijeet Vikram , Vedant Sharma , Vaishnavi Nagabhushana , Ayon Borthakur

The remarkable success of modern AI has been closely tied to scaling laws, yet the finite supply of high-quality data makes data efficiency--learning more from less--an increasingly important frontier. A model's inductive bias is a critical…

Machine Learning · Computer Science 2026-05-06 Qiyu Chen , Guozhang Chen

State Space Models (SSMs) have emerged as a compelling alternative to attention models for long-range vision tasks, offering input-dependent recurrence with linear complexity. However, most efficient SSM variants reduce computation cost by…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Sara Shoouri , Morteza Tavakoli Taba , Hun-Seok Kim

Sequence classification is essential in NLP for understanding and categorizing language patterns in tasks like sentiment analysis, intent detection, and topic classification. Transformer-based models, despite achieving state-of-the-art…

Computation and Language · Computer Science 2025-09-30 Hongbo Liu , Jia Xu

Foundational models based on the transformer architecture are currently the state-of-the-art in general language modeling, as well as in scientific areas such as material science and climate. However, training and deploying these models is…

Machine Learning · Computer Science 2025-10-16 Adarsha Balaji , Sandeep Madireddy , Prasanna Balaprakash

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

Sequence modeling is currently dominated by causal transformer architectures that use softmax self-attention. Although widely adopted, transformers require scaling memory and compute linearly during inference. A recent stream of work…

Methods based on ordinary differential equations (ODEs) are widely used to build generative models of time-series. In addition to high computational overhead due to explicitly computing hidden states recurrence, existing ODE-based models…

Machine Learning · Statistics 2023-02-07 Linqi Zhou , Michael Poli , Winnie Xu , Stefano Massaroli , Stefano Ermon

Attention mechanisms have been widely used to capture long-range dependencies among nodes in Graph Transformers. Bottlenecked by the quadratic computational cost, attention mechanisms fail to scale in large graphs. Recent improvements in…

Machine Learning · Computer Science 2024-02-02 Chloe Wang , Oleksii Tsepa , Jun Ma , Bo Wang

Structured state-space models (SSMs) have recently emerged as a powerful architecture at the intersection of machine learning and control, featuring layers composed of discrete-time linear time-invariant (LTI) systems followed by pointwise…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Leonardo Massai , Muhammad Zakwan , Giancarlo Ferrari-Trecate

Machine learning on graphs has recently found extensive applications across domains. However, the commonly used Message Passing Neural Networks (MPNNs) suffer from limited expressive power and struggle to capture long-range dependencies.…

Machine Learning · Computer Science 2024-10-07 Yinan Huang , Siqi Miao , Pan Li

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

State Space Models (SSMs) offer a promising alternative to transformers for long-sequence processing. However, their efficiency remains hindered by memory-bound operations, particularly in the prefill stage. While MARCA, a recent first…

Hardware Architecture · Computer Science 2026-04-10 Robin Geens , Arne Symons , Marian Verhelst