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Subspace identification methods (SIMs) have proven to be very useful and numerically robust for building state-space models. While most SIMs are consistent, few if any can achieve the efficiency of the maximum likelihood estimate (MLE).…

Methodology · Statistics 2025-10-06 Jiabao He , S. Joe Qin , Håkan Hjalmarsson

Incremental learning is a machine learning approach that involves training a model on a sequence of tasks, rather than all tasks at once. This ability to learn incrementally from a stream of tasks is crucial for many real-world…

Machine Learning · Computer Science 2024-02-21 Junwei Su , Difan Zou , Zijun Zhang , Chuan Wu

Integer-valued generalized autoregressive conditional heteroskedastic (INGARCH) models are a popular framework for modeling serial dependence in count time-series. While convenient for modeling, prediction, and estimation, INGARCH models…

Methodology · Statistics 2026-05-12 Jae Youn Ahn , Hong Beng Lim , Mario V. Wüthrich

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

Structured state-space models (SSMs) have been developed to offer more persistent memory retention than traditional recurrent neural networks, while maintaining real-time inference capabilities and addressing the time-complexity limitations…

Machine Learning · Computer Science 2025-09-09 Takashi Morita

We present a method for incremental modeling and time-varying control of unknown nonlinear systems. The method combines elements of evolving intelligence, granular machine learning, and multi-variable control. We propose a State-Space…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Daniel Leite , Pedro Coutinho , Iury Bessa , Murilo Camargos , Luiz Cordovil Junior , Reinaldo Palhares

Lifelong or continual learning remains to be a challenge for artificial neural network, as it is required to be both stable for preservation of old knowledge and plastic for acquisition of new knowledge. It is common to see previous…

Machine Learning · Computer Science 2020-10-08 Song Zhang , Gehui Shen , Jinsong Huang , Zhi-Hong Deng

Selective state space models (SSMs), such as Mamba, highly excel at capturing long-range dependencies in 1D sequential data, while their applications to 2D vision tasks still face challenges. Current visual SSMs often convert images into 1D…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Chaodong Xiao , Minghan Li , Zhengqiang Zhang , Deyu Meng , Lei Zhang

We propose a new variational inference algorithm for learning in Gaussian Process State-Space Models (GPSSMs). Our algorithm enables learning of unstable and partially observable systems, where previous algorithms fail. Our main algorithmic…

Machine Learning · Computer Science 2020-06-11 Silvan Melchior , Sebastian Curi , Felix Berkenkamp , Andreas Krause

We address the problem of incremental semantic segmentation (ISS) recognizing novel object/stuff categories continually without forgetting previous ones that have been learned. The catastrophic forgetting problem is particularly severe in…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Youngmin Oh , Donghyeon Baek , Bumsub Ham

State Space Models (SSMs), particularly recent selective variants like Mamba, have emerged as a leading architecture for sequence modeling, challenging the dominance of Transformers. However, the success of these state-of-the-art models…

Machine Learning · Computer Science 2025-08-06 Yiyi Wang , Jian'an Zhang , Hongyi Duan , Haoyang Liu , Qingyang Li

The remarkable success of modern AI has been closely tied to scaling laws, yet the finite supply of high-quality data makes data efficiency--learning more from less--an increasingly important frontier. A model's inductive bias is a critical…

Machine Learning · Computer Science 2026-05-06 Qiyu Chen , Guozhang Chen

Structured State Space Models (SSMs), which are at the heart of the recently popular Mamba architecture, are powerful tools for sequence modeling. However, their theoretical foundation relies on a complex, multi-stage process of…

Machine Learning · Computer Science 2025-12-23 Sutashu Tomonaga , Kenji Doya , Noboru Murata

Recently, state space models have demonstrated efficient video segmentation through linear-complexity state space compression. However, Video Semantic Segmentation (VSS) requires pixel-level spatiotemporal modeling capabilities to maintain…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Kai Zhu , Zhenyu Cui , Zehua Zang , Jiahuan Zhou

State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

Methodology · Statistics 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

Populations and Evolution · Quantitative Biology 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

Modern state-space models (SSMs) often utilize transition matrices which enable efficient computation but pose restrictions on the model's expressivity, as measured in terms of the ability to emulate finite-state automata (FSA). While…

Artificial Intelligence · Computer Science 2025-12-17 Aleksandar Terzić , Nicolas Menet , Michael Hersche , Thomas Hofmann , Abbas Rahimi

Learning accurate predictive models of real-world dynamic phenomena (e.g., climate, biological) remains a challenging task. One key issue is that the data generated by both natural and artificial processes often comprise time series that…

Machine Learning · Computer Science 2023-06-21 Abdul Fatir Ansari , Alvin Heng , Andre Lim , Harold Soh

Imitation Learning (IL) is an important paradigm within the broader reinforcement learning (RL) methodology. Unlike most of RL, it does not assume availability of reward-feedback. Reward inference and shaping are known to be difficult and…

Machine Learning · Computer Science 2023-08-25 Rishabh Agrawal , Nathan Dahlin , Rahul Jain , Ashutosh Nayyar

Although transformers dominate many code-specific tasks, they have significant limitations. This paper explores State Space Models (SSMs) as a promising alternative for code understanding tasks such as retrieval, classification, and clone…

Software Engineering · Computer Science 2025-09-23 Shweta Verma , Abhinav Anand , Mira Mezini