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Linear time-invariant state space models (SSM) are a classical model from engineering and statistics, that have recently been shown to be very promising in machine learning through the Structured State Space sequence model (S4). A core…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Isys Johnson , Aman Timalsina , Atri Rudra , Christopher Ré

Processing long temporal sequences is a key challenge in deep learning. In recent years, Transformers have become state-of-the-art for this task, but suffer from excessive memory requirements due to the need to explicitly store the…

Machine Learning · Computer Science 2025-07-09 Sebastian Siegel , Ming-Jay Yang , John-Paul Strachan

State space models (SSMs) have emerged as an efficient alternative to transformer-based models, offering linear complexity that scales better than transformers. One of the latest advances in SSMs, Mamba, introduces a selective scan…

Machine Learning · Computer Science 2025-03-03 Junpeng Wang , Chin-Chia Michael Yeh , Uday Singh Saini , Mahashweta Das

A proper parametrization of state transition matrices of linear state-space models (SSMs) followed by standard nonlinearities enables them to efficiently learn representations from sequential data, establishing the state-of-the-art on a…

Machine Learning · Computer Science 2022-09-28 Ramin Hasani , Mathias Lechner , Tsun-Hsuan Wang , Makram Chahine , Alexander Amini , Daniela Rus

Selective state-space models (SSMs) like Mamba overcome some of the shortcomings of Transformers, such as quadratic computational complexity with sequence length and large inference-time memory requirements from the key-value cache.…

Despite the prevalence of images and texts in machine learning, tabular data remains widely used across various domains. Existing deep learning models, such as convolutional neural networks and transformers, perform well however demand…

Machine Learning · Computer Science 2024-06-26 Md Atik Ahamed , Qiang Cheng

Recurrent State-space models (RSSMs) are highly expressive models for learning patterns in time series data and system identification. However, these models assume that the dynamics are fixed and unchanging, which is rarely the case in…

Machine Learning · Computer Science 2023-10-16 Vaisakh Shaj , Dieter Buchler , Rohit Sonker , Philipp Becker , Gerhard Neumann

State-space models (SSMs) have recently emerged as a framework for learning long-range sequence tasks. An example is the structured state-space sequence (S4) layer, which uses the diagonal-plus-low-rank structure of the HiPPO initialization…

Machine Learning · Computer Science 2023-10-04 Annan Yu , Arnur Nigmetov , Dmitriy Morozov , Michael W. Mahoney , N. Benjamin Erichson

The Transformer model has demonstrated success across a wide range of domains, including in Multi-Agent Reinforcement Learning (MARL) where the Multi-Agent Transformer (MAT) has emerged as a leading algorithm in the field. However, a…

State Space Models (SSMs) have emerged as a potent tool in sequence modeling tasks in recent years. These models approximate continuous systems using a set of basis functions and discretize them to handle input data, making them well-suited…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Disen Lan , Ziyu Zhou , Qingsong Wen , Yuxuan Liang

As one of the most representative DL techniques, Transformer architecture has empowered numerous advanced models, especially the large language models (LLMs) that comprise billions of parameters, becoming a cornerstone in deep learning.…

Machine Learning · Computer Science 2026-04-07 Haohao Qu , Liangbo Ning , Rui An , Wenqi Fan , Tyler Derr , Hui Liu , Xin Xu , Qing Li

State Space Models (SSMs), developed to tackle long sequence modeling tasks efficiently, offer both parallelizable training and fast inference. At their core are recurrent dynamical systems that maintain a hidden state, with update costs…

Machine Learning · Computer Science 2026-02-26 Makram Chahine , Philipp Nazari , Daniela Rus , T. Konstantin Rusch

Hybrid models that combine state space models (SSMs) with attention mechanisms have shown strong performance by leveraging the efficiency of SSMs and the high recall ability of attention. However, the architectural design choices behind…

Computation and Language · Computer Science 2025-11-03 Hyunji Lee , Wenhao Yu , Hongming Zhang , Kaixin Ma , Jiyeon Kim , Dong Yu , Minjoon Seo

Modern neural sequence models are designed to meet the dual mandate of parallelizable training and fast sequential inference. Recent developments have given rise to various models, such as Gated Linear Attention (GLA) and Mamba, that…

Machine Learning · Computer Science 2026-03-12 Morris Yau , Sharut Gupta , Valerie Engelmayer , Kazuki Irie , Stefanie Jegelka , Jacob Andreas

State-space modeling has emerged as a powerful paradigm for sequence analysis in various tasks such as natural language processing, time-series forecasting, and signal processing. In this work, we propose an \emph{Adaptive State-Space…

Machine Learning · Computer Science 2025-07-31 Alice Zhang , Chao Li

Place recognition is the foundation for enabling autonomous systems to achieve independent decision-making and safe operations. It is also crucial in tasks such as loop closure detection and global localization within SLAM. Previous methods…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Qiuchi Xiang , Jintao Cheng , Jiehao Luo , Jin Wu , Rui Fan , Xieyuanli Chen , Xiaoyu Tang

Physics-informed machine learning (PIML) has emerged as a promising alternative to classical methods for predicting dynamical systems, offering faster and more generalizable solutions. However, existing models, including recurrent neural…

Machine Learning · Computer Science 2025-01-28 Zheyuan Hu , Nazanin Ahmadi Daryakenari , Qianli Shen , Kenji Kawaguchi , George Em Karniadakis

Recent works have demonstrated that attention-based transformer and large language model (LLM) architectures can achieve strong channel state prediction (CSP) performance by capturing long-range temporal dependencies across channel state…

Information Theory · Computer Science 2026-04-27 Aladin Djuhera , Haris Gacanin , Holger Boche

In recent years, Transformers have become the de-facto architecture for sequence modeling on text and a variety of multi-dimensional data, such as images and video. However, the use of self-attention layers in a Transformer incurs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Shufan Li , Harkanwar Singh , Aditya Grover

The recent surge in State Space Models (SSMs), particularly the emergence of Mamba, has established them as strong alternatives or complementary modules to Transformers across diverse domains. In this work, we aim to explore the potential…

Sound · Computer Science 2025-07-10 Wei-Jaw Lee , Fang-Chih Hsieh , Xuanjun Chen , Fang-Duo Tsai , Yi-Hsuan Yang
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