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Graph Neural Networks based on the message-passing (MP) mechanism are a dominant approach for handling graph-structured data. However, they are inherently limited to modeling only pairwise interactions, making it difficult to explicitly…

Machine Learning · Computer Science 2024-09-19 Marco Montagna , Simone Scardapane , Lev Telyatnikov

Speculative decoding has emerged as a promising approach to accelerating large language model (LLM) generation using a fast drafter while maintaining alignment with the target model's distribution. However, existing approaches face a…

State Space Models (SSMs) are efficient alternatives to traditional sequence models, excelling at processing long sequences with lower computational complexity. Their reliance on matrix multiplications makes them ideal for compute-in-memory…

Hardware Architecture · Computer Science 2025-08-19 Yuannuo Feng , Wenyong Zhou , Yuexi Lyu , Hanjie Liu , Zhengwu Liu , Ngai Wong , Wang Kang

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

Large language models (LLMs) have advanced significantly due to the attention mechanism, but their quadratic complexity and linear memory demands limit their performance on long-context tasks. Recently, researchers introduced Mamba, an…

Computation and Language · Computer Science 2024-10-22 Wangjie You , Zecheng Tang , Juntao Li , Lili Yao , Min Zhang

In recent years, advancements in deep learning have spurred the development of numerous models for Long-term Time Series Forecasting (LTSF). However, most existing approaches struggle to fully capture the complex and structured dependencies…

Machine Learning · Computer Science 2025-06-04 Zixuan Weng , Jindong Han , Wenzhao Jiang , Hao Liu

In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

Methodology · Statistics 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

While recent Transformer and Mamba architectures have advanced point cloud representation learning, they are typically developed for single-task or single-domain settings. Directly applying them to multi-task domain generalization (DG)…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Jincen Jiang , Qianyu Zhou , Yuhang Li , Kui Su , Meili Wang , Jian Chang , Jian Jun Zhang , Xuequan Lu

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

Long-range dependencies are critical for understanding genomic structure and function, yet most conventional methods struggle with them. Widely adopted transformer-based models, while excelling at short-context tasks, are limited by the…

Representing the past in a compressed, efficient, and informative manner is a central problem for systems trained on sequential data. The HiPPO framework, originally proposed by Gu & Dao et al., provides a principled approach to sequential…

Machine Learning · Computer Science 2026-02-26 Jack Goffinet , Casey Hanks , David E. Carlson

State Space Models (SSMs) with selective scan (Mamba) have been adapted into efficient vision models. Mamba, unlike Vision Transformers, achieves linear complexity for token interactions through a recurrent hidden state process. This…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Saarthak Kapse , Robin Betz , Srinivasan Sivanandan

State-Space Models (SSMs) have emerged as an efficient alternative to transformers, yet existing visual SSMs retain deeply ingrained biases from their origins in natural language processing. In this paper, we address these limitations by…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Enis Baty , Alejandro Hernández Díaz , Rebecca Davidson , Chris Bridges , Simon Hadfield

State-space models (SSMs), particularly Mamba, have become powerful architectures for sequence modeling, yet their internal dynamics remain poorly understood compared to attention-based models. We introduce and validate the Influence Score,…

Machine Learning · Computer Science 2025-11-25 Mohamed Mabrok , Yalda Zafari

Deep sequence models, ranging from Transformers and State Space Models (SSMs) to more recent approaches such as gated linear RNNs, fundamentally compute outputs as linear combinations of past value vectors. To draw insights and…

Machine Learning · Computer Science 2026-04-14 Jerome Sieber , Antonio Orvieto , Melanie N. Zeilinger , Carmen Amo Alonso

Sequential recommendation aims to estimate the dynamic user preferences and sequential dependencies among historical user behaviors. Although Transformer-based models have proven to be effective for sequential recommendation, they suffer…

Information Retrieval · Computer Science 2024-07-02 Chengkai Liu , Jianghao Lin , Jianling Wang , Hanzhou Liu , James Caverlee

We consider the problem of performing parameter and state inference in a state-space model (SSM) parametrized by a static parameter $\theta$. A popular idea to address this problem consists of incorporating $\theta$ in the state of the…

Statistics Theory · Mathematics 2025-06-10 Yuan Chen , Mathieu Gerber , Christophe Andrieu , Randal Douc

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

Long-range time series forecasting remains challenging, as it requires capturing non-stationary and multi-scale temporal dependencies while maintaining noise robustness, efficiency, and stability. Transformer-based architectures such as…

Machine Learning · Computer Science 2025-09-03 Stefan-Alexandru Jura , Mihai Udrescu , Alexandru Topirceanu

Recently, state space model (SSM) has gained great attention due to its promising performance, linear complexity, and long sequence modeling ability in both language and image domains. However, it is non-trivial to extend SSM to the point…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Jiuming Liu , Ruiji Yu , Yian Wang , Yu Zheng , Tianchen Deng , Weicai Ye , Hesheng Wang
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