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State Space Models (SSMs) have recently emerged as efficient alternatives to Transformer-Based Models (TBMs) for long-sequence processing with linear scaling, yet how contextual information flows across layers in these architectures remains…

Computation and Language · Computer Science 2026-01-08 Nhat M. Hoang , Do Xuan Long , Cong-Duy Nguyen , Min-Yen Kan , Luu Anh Tuan

Recent State Space Models (SSM), especially Mamba, have demonstrated impressive performance in visual modeling and possess superior model efficiency. However, the application of Mamba to visual tasks suffers inferior performance due to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Fei Xie , Jiahao Nie , Yujin Tang , Wenkang Zhang , Hongshen Zhao

Machine Learning (ML) and linear System Identification (SI) have been historically developed independently. In this paper, we leverage well-established ML tools - especially the automatic differentiation framework - to introduce SIMBa, a…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Loris Di Natale , Muhammad Zakwan , Bratislav Svetozarevic , Philipp Heer , Giancarlo Ferrari-Trecate , Colin N. Jones

Sequence modeling has produced diverse architectures -- from classical recurrent neural networks to modern Transformers and state space models (SSMs) -- yet a unified theoretical understanding of expressivity and trainability trade-offs…

Machine Learning · Computer Science 2025-12-18 Ali Ghodsi

Transformers have become one of the foundational architectures in point cloud analysis tasks due to their excellent global modeling ability. However, the attention mechanism has quadratic complexity, making the design of a linear complexity…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Dingkang Liang , Xin Zhou , Wei Xu , Xingkui Zhu , Zhikang Zou , Xiaoqing Ye , Xiao Tan , Xiang Bai

The attention mechanism in Transformers is an important primitive for accurate and scalable sequence modeling. Its quadratic-compute and linear-memory complexity however remain significant bottlenecks. Linear attention and state-space…

Machine Learning · Computer Science 2026-03-03 Han Guo , Songlin Yang , Tarushii Goel , Eric P. Xing , Tri Dao , Yoon Kim

Recent sequence modeling approaches using selective state space sequence models, referred to as Mamba models, have seen a surge of interest. These models allow efficient processing of long sequences in linear time and are rapidly being…

Machine Learning · Computer Science 2025-01-16 Farnoush Rezaei Jafari , Grégoire Montavon , Klaus-Robert Müller , Oliver Eberle

Sequence models based on linear state spaces (SSMs) have recently emerged as a promising choice of architecture for modeling long range dependencies across various modalities. However, they invariably rely on discretization of a continuous…

Machine Learning · Computer Science 2023-11-15 Ankit Gupta , Harsh Mehta , Jonathan Berant

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

State-space models (SSMs) have recently demonstrated competitive performance to transformers at large-scale language modeling benchmarks while achieving linear time and memory complexity as a function of sequence length. Mamba, a recently…

Computation and Language · Computer Science 2024-02-06 Quentin Anthony , Yury Tokpanov , Paolo Glorioso , Beren Millidge

Current automatic speech recognition systems struggle with modeling long speech sequences due to high quadratic complexity of Transformer-based models. Selective state space models such as Mamba has performed well on long-sequence modeling…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-30 Xiaoxue Gao , Nancy F. Chen

Transformers and Mamba, initially invented for natural language processing, have inspired backbone architectures for visual recognition. Recent studies integrated Local Attention Transformers with Mamba to capture both local details and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Meng Lou , Yunxiang Fu , Yizhou Yu

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

Machine Learning · Statistics 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

Due to the long-range modeling ability and linear complexity property, Mamba has attracted considerable attention in point cloud analysis. Despite some interesting progress, related work still suffers from imperfect point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Kanglin Qu , Pan Gao , Qun Dai , Zhanzhi Ye , Rui Ye , Yuanhao Sun

Marked temporal point processes (MTPPs) model sequences of events occurring at irregular time intervals, with wide-ranging applications in fields such as healthcare, finance and social networks. We propose the state-space point process…

Machine Learning · Statistics 2025-10-24 Yuxin Chang , Alex Boyd , Cao Xiao , Taha Kass-Hout , Parminder Bhatia , Padhraic Smyth , Andrew Warrington

In various domains, Sequential Recommender Systems (SRS) have become essential due to their superior capability to discern intricate user preferences. Typically, SRS utilize transformer-based architectures to forecast the subsequent item…

Artificial Intelligence · Computer Science 2024-12-25 Ziwei Liu , Qidong Liu , Yejing Wang , Wanyu Wang , Pengyue Jia , Maolin Wang , Zitao Liu , Yi Chang , Xiangyu Zhao

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

State space models (SSMs) have recently shown promising results on small-scale sequence and language modelling tasks, rivalling and outperforming many attention-based approaches. In this paper, we propose a multi-head state space (MH-SSM)…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-29 Yassir Fathullah , Chunyang Wu , Yuan Shangguan , Junteng Jia , Wenhan Xiong , Jay Mahadeokar , Chunxi Liu , Yangyang Shi , Ozlem Kalinli , Mike Seltzer , Mark J. F. Gales

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) have emerged as an efficient alternative to Transformer models for language modeling, offering linear computational complexity and constant memory usage as context length increases. However, despite their…

Computation and Language · Computer Science 2025-04-23 Zhifan Ye , Kejing Xia , Yonggan Fu , Xin Dong , Jihoon Hong , Xiangchi Yuan , Shizhe Diao , Jan Kautz , Pavlo Molchanov , Yingyan Celine Lin