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State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

Temporally indexed data are essential in a wide range of fields and of interest to machine learning researchers. Time series data, however, are often scarce or highly sensitive, which precludes the sharing of data between researchers and…

Machine Learning · Computer Science 2024-07-10 Alexander Nikitin , Letizia Iannucci , Samuel Kaski

Spatial constraint systems (scs) are semantic structures for reasoning about spatial and epistemic information in concurrent systems. They have been used to reason about beliefs, lies, and group epistemic behaviour inspired by social…

Multiagent Systems · Computer Science 2019-08-26 Frank Valencia

Video diffusion models have recently shown promise for world modeling through autoregressive frame prediction conditioned on actions. However, they struggle to maintain long-term memory due to the high computational cost associated with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Ryan Po , Yotam Nitzan , Richard Zhang , Berlin Chen , Tri Dao , Eli Shechtman , Gordon Wetzstein , Xun Huang

The sensitivity analysis and validation of simulation models require specific approaches in the case of spatial models. We describe the spatialdata scala library providing such tools, including synthetic generators for urban configurations…

Applications · Statistics 2020-07-22 Juste Raimbault , Julien Perret , Romain Reuillon

State space models (SSMs) have emerged as a powerful framework for modelling long-range dependencies in sequence data. Unlike traditional recurrent neural networks (RNNs) and convolutional neural networks (CNNs), SSMs offer a structured and…

Machine Learning · Computer Science 2024-10-07 Siddhanth Bhat

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

Time series modeling is a well-established problem, which often requires that methods (1) expressively represent complicated dependencies, (2) forecast long horizons, and (3) efficiently train over long sequences. State-space models (SSMs)…

Machine Learning · Computer Science 2023-03-17 Michael Zhang , Khaled K. Saab , Michael Poli , Tri Dao , Karan Goel , Christopher Ré

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

Machine Learning · Statistics 2024-12-17 Jiahe Lin , George Michailidis

Modeling multivariate time series is a well-established problem with a wide range of applications from healthcare to financial markets. Traditional State Space Models (SSMs) are classical approaches for univariate time series modeling due…

Machine Learning · Computer Science 2024-06-07 Ali Behrouz , Michele Santacatterina , Ramin Zabih

World modelling, i.e. building a representation of the rules that govern the world so as to predict its evolution, is an essential ability for any agent interacting with the physical world. Despite their impressive performance, many…

Machine Learning · Computer Science 2025-05-06 Francesco Petri , Luigi Asprino , Aldo Gangemi

Inference on time series data is a common requirement in many scientific disciplines and internet of things (IoT) applications, yet there are few resources available to domain scientists to easily, robustly, and repeatably build such…

Mathematical Software · Computer Science 2016-09-16 Brett Naul , Stéfan van der Walt , Arien Crellin-Quick , Joshua S. Bloom , Fernando Pérez

Selective State-Space Models (SSMs) such as Mamba have emerged as an alternative architecture to self-attention based transformers in sequence modeling tasks. Recent works have demonstrated the use of transformers in some filtering and…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Alex Tang , M. Emrullah Ildiz , Batin Kurt , Samet Oymak , Necmiye Ozay

We investigate the expressive power of state space models (SSM), which have recently emerged as a potential alternative to transformer architectures in large language models. Building on recent work, we analyse SSM expressiveness through…

Logic in Computer Science · Computer Science 2026-01-28 Eric Alsmann , Lowejatan Noori , Martin Lange

Open Science aims to foster openness and collaboration in research, leading to more significant scientific and social impact. However, practicing Open Science comes with several challenges and is currently not properly rewarded. In this…

Software Engineering · Computer Science 2024-05-21 Edson OliveiraJr , Fernanda Madeiral , Alcemir Rodrigues Santos , Christina von Flach , Sergio Soares

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

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

Recently, recurrent models based on linear state space models (SSMs) have shown promising performance in language modeling (LM), competititve with transformers. However, there is little understanding of the in-principle abilities of such…

Computation and Language · Computer Science 2025-12-15 Yash Sarrof , Yana Veitsman , Michael Hahn

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

The Saliency Model Implementation Library for Experimental Research (SMILER) is a new software package which provides an open, standardized, and extensible framework for maintaining and executing computational saliency models. This work…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Calden Wloka , Toni Kunić , Iuliia Kotseruba , Ramin Fahimi , Nicholas Frosst , Neil D. B. Bruce , John K. Tsotsos