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Time series analysis by state-space models is widely used in forecasting and extracting unobservable components like level, slope, and seasonality, along with explanatory variables. However, their reliance on traditional Kalman filtering…

Machine Learning · Statistics 2024-08-20 André Ramos , Davi Valladão , Alexandre Street

In the post-deep learning era, the Transformer architecture has demonstrated its powerful performance across pre-trained big models and various downstream tasks. However, the enormous computational demands of this architecture have deterred…

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

Structured state space models (SSMs), the core engine behind prominent neural networks such as S4 and Mamba, are linear dynamical systems adhering to a specified structure, most notably diagonal. In contrast to typical neural network…

Machine Learning · Computer Science 2024-11-01 Yuval Ran-Milo , Eden Lumbroso , Edo Cohen-Karlik , Raja Giryes , Amir Globerson , Nadav Cohen

State space models (SSMs) have demonstrated state-of-the-art sequence modeling performance in some modalities, but underperform attention in language modeling. Moreover, despite scaling nearly linearly in sequence length instead of…

Machine Learning · Computer Science 2023-05-02 Daniel Y. Fu , Tri Dao , Khaled K. Saab , Armin W. Thomas , Atri Rudra , Christopher Ré

We describe a novel approach for developing realistic digital models of dynamic range compressors for digital audio production by analyzing their analog prototypes. While realistic digital dynamic compressors are potentially useful for many…

The landscape of computational building blocks of efficient image restoration architectures is dominated by a combination of convolutional processing and various attention mechanisms. However, convolutional filters, while efficient, are…

Image and Video Processing · Electrical Eng. & Systems 2025-01-23 Mohammad Shahab Sepehri , Zalan Fabian , Mahdi Soltanolkotabi

We approach designing a state-space model for deep learning applications through its dual representation, the transfer function, and uncover a highly efficient sequence parallel inference algorithm that is state-free: unlike other proposed…

The state-space models (SSMs) are widely utilized in the analysis of time-series data. SSMs rely on an explicit definition of the state and observation processes. Characterizing these processes is not always easy and becomes a modeling…

Machine Learning · Computer Science 2023-07-04 Mohammad R. Rezaei , Milos R. Popovic , Milad Lankarany , Ali Yousefi

State-Space Models (SSMs) -- structured SSMs (S4, S4D, DSS, S5), selective SSMs (Mamba, Mamba-2), and hybrid architectures (Jamba) -- are deployed in safety-critical long-context applications: genomic analysis, clinical time-series…

Cryptography and Security · Computer Science 2026-04-21 Manoj Parmar

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

Recommender systems aim to estimate the dynamically changing user preferences and sequential dependencies between historical user behaviour and metadata. Although transformer-based models have proven to be effective in sequential…

Information Retrieval · Computer Science 2025-10-07 Mark Obozov , Makar Baderko , Stepan Kulibaba , Nikolay Kutuzov , Alexander Gasnikov

Temporal modeling remains a fundamental challenge in video understanding, particularly as sequence lengths scale. Traditional video models relying on dense spatiotemporal attention suffer from quadratic computational costs for long videos.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Lingjie Zeng , Hailun Zhang , Xiwen Wang , Qijun Zhao

Effectively learning from sequential data is a longstanding goal of Artificial Intelligence, especially in the case of long sequences. From the dawn of Machine Learning, several researchers have pursued algorithms and architectures capable…

Machine Learning · Computer Science 2025-08-19 Matteo Tiezzi , Michele Casoni , Alessandro Betti , Marco Gori , Stefano Melacci

Given the remarkable achievements in image generation through diffusion models, the research community has shown increasing interest in extending these models to video generation. Recent diffusion models for video generation have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Yuta Oshima , Shohei Taniguchi , Masahiro Suzuki , Yutaka Matsuo

We introduce a neural network layer API and library for sequence modeling, designed for easy creation of sequence models that can be executed both layer-by-layer (e.g., teacher-forced training) and step-by-step (e.g., autoregressive…

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

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) 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

Unsupervised structure learning in high-dimensional time series data has attracted a lot of research interests. For example, segmenting and labelling high dimensional time series can be helpful in behavior understanding and medical…

Machine Learning · Computer Science 2017-05-25 Hao Liu , Haoli Bai , Lirong He , Zenglin Xu
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