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Long Short-Term Memory (LSTM) is one of the most powerful sequence models. Despite the strong performance, however, it lacks the nice interpretability as in state space models. In this paper, we present a way to combine the best of both…

Machine Learning · Computer Science 2017-12-04 Xun Zheng , Manzil Zaheer , Amr Ahmed , Yuan Wang , Eric P Xing , Alexander J Smola

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

State-space models (SSMs) face a fundamental trade-off between efficiency and expressivity that is mainly dictated by the structure of the model's transition matrix. Unstructured transition matrices enable maximal expressivity, as measured…

Linear sequence modeling methods, such as linear attention, state space modeling, and linear RNNs, offer significant efficiency improvements by reducing the complexity of training and inference. However, these methods typically compress the…

Computation and Language · Computer Science 2025-11-19 Jusen Du , Weigao Sun , Disen Lan , Jiaxi Hu , Yu Cheng

Large Vision-Language Models (LVLMs) have demonstrated remarkable performance across a wide range of multimodal tasks. However, fine-tuning these models for domain-specific applications remains a computationally intensive challenge. This…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Chee Ng , Yuen Fung

In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models. This is exemplified by the recent success of Mamba, showing better performance than…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Carmen Amo Alonso , Jerome Sieber , Melanie N. Zeilinger

Structured State Space Models (SSMs) have emerged as alternatives to transformers. While SSMs are often regarded as effective in capturing long-sequence dependencies, we rigorously demonstrate that they are inherently limited by strong…

Machine Learning · Computer Science 2025-03-12 Peihao Wang , Ruisi Cai , Yuehao Wang , Jiajun Zhu , Pragya Srivastava , Zhangyang Wang , Pan Li

Spatiotemporal predictive learning, which predicts future frames through historical prior knowledge with the aid of deep learning, is widely used in many fields. Previous work essentially improves the model performance by widening or…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Zhifeng Ma , Hao Zhang , Jie Liu

State-space models (SSMs) are an important modeling framework for analyzing ecological time series. These hierarchical models are commonly used to model population dynamics, animal movement, and capture-recapture data, and are now…

Recent advances in sequence modeling have introduced selective SSMs as promising alternatives to Transformer architectures, offering theoretical computational efficiency and sequence processing advantages. A comprehensive understanding of…

Machine Learning · Computer Science 2025-12-01 Abdullah Al Asif , Mobina Kashaniyan , Sixing Yu , Juan Pablo Muñoz , Ali Jannesari

Deep neural networks based on state space models (SSMs) are attracting significant attention in sequence modeling since their computational cost is much smaller than that of Transformers. While the capabilities of SSMs have been…

Machine Learning · Statistics 2025-03-06 Naoki Nishikawa , Taiji Suzuki

In this work, we introduce S4M, a new efficient speech separation framework based on neural state-space models (SSM). Motivated by linear time-invariant systems for sequence modeling, our SSM-based approach can efficiently model input…

Sound · Computer Science 2023-05-29 Chen Chen , Chao-Han Huck Yang , Kai Li , Yuchen Hu , Pin-Jui Ku , Eng Siong Chng

State-space models (SSMs) have emerged as a powerful foundation for long-range sequence modeling, with the HiPPO framework showing that continuous-time projection operators can be used to derive stable, memory-efficient dynamical systems…

Machine Learning · Computer Science 2026-02-27 Ruben Solozabal , Velibor Bojkovic , Hilal Alquabeh , Klea Ziu , Kentaro Inui , Martin Takac

The diversity and complexity of Indic languages present unique challenges for natural language processing (NLP) tasks, particularly in the domain of question answering (QA).To address these challenges, this paper explores the application of…

Computation and Language · Computer Science 2025-11-03 Arpita Vats , Rahul Raja , Mrinal Mathur , Vinija Jain , Aman Chadha

Sequence modeling is a crucial area across various domains, including Natural Language Processing (NLP), speech recognition, time series forecasting, music generation, and bioinformatics. Recurrent Neural Networks (RNNs) and Long Short Term…

Machine Learning · Computer Science 2024-04-26 Badri Narayana Patro , Vijay Srinivas Agneeswaran

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

State Space Models (SSMs) have emerged as a promising alternative to Transformers for long-context sequence modeling, offering linear $O(N)$ computational complexity compared to the Transformer's quadratic $O(N^2)$ scaling. This paper…

Machine Learning · Computer Science 2026-01-06 Abidemi Koledoye , Chinemerem Unachukwu , Gold Nwobu , Hasin Rana

State Space Models (SSMs) have become the leading alternative to Transformers for sequence modeling. Their primary advantage is efficiency in long-context and long-form generation, enabled by fixed-size memory and linear scaling of…

Machine Learning · Computer Science 2025-10-17 Eran Malach , Omid Saremi , Sinead Williamson , Arwen Bradley , Aryo Lotfi , Emmanuel Abbe , Josh Susskind , Etai Littwin

Foundation models, now powering most of the exciting applications in deep learning, are almost universally based on the Transformer architecture and its core attention module. Many subquadratic-time architectures such as linear attention,…

Machine Learning · Computer Science 2024-06-03 Albert Gu , Tri Dao

Structured state space sequence (S4) models have recently achieved state-of-the-art performance on long-range sequence modeling tasks. These models also have fast inference speeds and parallelisable training, making them potentially useful…

Machine Learning · Computer Science 2023-11-27 Chris Lu , Yannick Schroecker , Albert Gu , Emilio Parisotto , Jakob Foerster , Satinder Singh , Feryal Behbahani