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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

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

We present SpM, a sparse modeling tool for the analytic continuation of imaginary-time Green's function, licensed under GNU General Public License version 3. In quantum Monte Carlo simulation, dynamic physical quantities such as…

Strongly Correlated Electrons · Physics 2019-10-02 Kazuyoshi Yoshimi , Junya Otsuki , Yuichi Motoyama , Masayuki Ohzeki , Hiroshi Shinaoka

For an easy use of model order reduction techniques in applications, software solutions are needed. In this paper, we describe the MORLAB, Model Order Reduction LABoratory, toolbox as an efficient implementation of model reduction…

Mathematical Software · Computer Science 2021-09-07 Peter Benner , Steffen W. R. Werner

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

Recently, state space models (SSM), particularly Mamba, have attracted significant attention from scholars due to their ability to effectively balance computational efficiency and performance. However, most existing visual Mamba methods…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Leiye Liu , Miao Zhang , Jihao Yin , Tingwei Liu , Wei Ji , Yongri Piao , Huchuan Lu

Efficiently modeling large 2D contexts is essential for various fields including Giga-Pixel Whole Slide Imaging (WSI) and remote sensing. Transformer-based models offer high parallelism but face challenges due to their quadratic complexity…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Jingwei Zhang , Anh Tien Nguyen , Xi Han , Vincent Quoc-Huy Trinh , Hong Qin , Dimitris Samaras , Mahdi S. Hosseini

The development of embedded systems requires formal analysis of models such as those described with MATLAB/Simulink. However, the increasing complexity of industrial models makes analysis difficult. This paper proposes a model checking…

Logic in Computer Science · Computer Science 2022-06-08 Daisuke Ishii , Takashi Tomita , Toshiaki Aoki , The Quyen Ngo , Thi Bich Ngoc Do , Hideaki Takai

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

We investigate nonlinear prediction/regression in an online setting and introduce a hybrid model that effectively mitigates, via a joint mechanism through a state space formulation, the need for domain-specific feature engineering issues of…

Machine Learning · Statistics 2023-09-20 Mustafa E. Aydın , Arda Fazla , Suleyman S. Kozat

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

We consider the problem of performing parameter and state inference in a state-space model (SSM) parametrized by a static parameter $\theta$. A popular idea to address this problem consists of incorporating $\theta$ in the state of the…

Statistics Theory · Mathematics 2025-06-10 Yuan Chen , Mathieu Gerber , Christophe Andrieu , Randal Douc

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

Machine Learning · Computer Science 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

State-Space Models (SSMs) have emerged as efficient alternatives to transformers for sequential data tasks, offering linear or near-linear scalability with sequence length, making them ideal for long-sequence applications in NLP, vision,…

Machine Learning · Computer Science 2025-04-01 Arghadip Das , Arnab Raha , Shamik Kundu , Soumendu Kumar Ghosh , Deepak Mathaikutty , Vijay Raghunathan

This paper solves the classical problem of simultaneous localization and mapping (SLAM) in a fashion which avoids linearized approximations altogether. Based on creating virtual synthetic measurements, the algorithm uses a linear time-…

Robotics · Computer Science 2016-12-30 Feng Tan , Winfried Lohmiller , Jean-Jacques Slotine

Numerical simulations are a powerful tool to study quantum systems beyond exactly solvable systems lacking an analytic expression. For one-dimensional entangled quantum systems, tensor network methods, amongst them Matrix Product States…

Quantum Gases · Physics 2018-02-28 Daniel Jaschke , Michael L. Wall , Lincoln D. Carr

We present an R package bssm for Bayesian non-linear/non-Gaussian state space modelling. Unlike the existing packages, bssm allows for easy-to-use approximate inference based on Gaussian approximations such as the Laplace approximation and…

Computation · Statistics 2022-04-13 Jouni Helske , Matti Vihola

Synaptic Sampling Machine (SSM) is a type of neural network model that considers biological unreliability of the synapses. We propose the circuit design of the SSM neural network which is realized through the memristive-CMOS crossbar…

Emerging Technologies · Computer Science 2018-08-03 Irina Dolzhikova , Khaled Salama , Vipin Kizheppatt , Alex Pappachen James

State-Space Models (SSMs) have emerged as an efficient alternative to transformers, yet existing visual SSMs retain deeply ingrained biases from their origins in natural language processing. In this paper, we address these limitations by…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Enis Baty , Alejandro Hernández Díaz , Rebecca Davidson , Chris Bridges , Simon Hadfield

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