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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

Structured sparsity has emerged as a popular model pruning technique, widely adopted in various architectures, including CNNs, Transformer models, and especially large language models (LLMs) in recent years. A promising direction to further…

Machine Learning · Computer Science 2026-02-02 Zekai Li , Ji Liu , Guanchen Li , Yixing Xu , Ziqiong Liu , Xuanwu Yin , Dong Li , Emad Barsoum

Long-range time series forecasting remains challenging, as it requires capturing non-stationary and multi-scale temporal dependencies while maintaining noise robustness, efficiency, and stability. Transformer-based architectures such as…

Machine Learning · Computer Science 2025-09-03 Stefan-Alexandru Jura , Mihai Udrescu , Alexandru Topirceanu

We propose ss-Mamba, a novel foundation model that enhances time series forecasting by integrating semantic-aware embeddings and adaptive spline-based temporal encoding within a selective state-space modeling framework. Building upon the…

Machine Learning · Computer Science 2025-06-19 Zuochen Ye

Efficient trackers achieve faster runtime by reducing computational complexity and model parameters. However, this efficiency often compromises the expense of weakened feature representation capacity, thus limiting their ability to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Shilei Wang , Gong Cheng , Pujian Lai , Dong Gao , Junwei Han

Time-series imputation benchmarks employ uniform random masking and shape-agnostic metrics (MSE, RMSE), implicitly weighting evaluation by regime prevalence. In systems with a dominant attractor -- homeostatic physiology, nominal industrial…

Machine Learning · Computer Science 2026-02-18 Amirreza Dolatpour Fathkouhi , Alireza Namazi , Heman Shakeri

Switching state-space models (SSSM) are a very popular class of time series models that have found many applications in statistics, econometrics and advanced signal processing. Bayesian inference for these models typically relies on Markov…

Computation · Statistics 2010-11-11 Nick Whiteley , Christophe Andrieu , Arnaud Doucet

Time-varying phasor-based analysis of subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) and its benchmarking with electromagnetic transient (EMT) models have so far been restricted to highly simplified grid…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Lilan Karunaratne , Nilanjan Ray Chaudhuri , Amirthagunaraj Yogarathnam , Meng Yue

Recent advancements in foundation models for tabular data, such as TabPFN, demonstrated that pretrained Transformer architectures can approximate Bayesian inference with high predictive performance. However, Transformers suffer from…

Machine Learning · Computer Science 2025-12-12 Felix Koch , Marcel Wever , Fabian Raisch , Benjamin Tischler

Traffic forecasting requires modeling complex temporal dynamics and long-range spatial dependencies over large sensor networks. Existing methods typically face a trade-off between expressiveness and efficiency: Transformer-based models…

Machine Learning · Computer Science 2026-04-16 Xinjin Li , Jinghan Cao , Mengyue Wang , Yue Wu , Longxiang Yan , Yeyang Zhou , Ziqi Sha , Yu Ma

Some of the issues that make sampling parameter spaces of various beyond the Standard Model (BSM) scenarios computationally expensive are the high dimensionality of the input parameter space, complex likelihoods, and stringent experimental…

High Energy Physics - Phenomenology · Physics 2026-02-16 Atrideb Chatterjee , Arghya Choudhury , Sourav Mitra , Arpita Mondal , Subhadeep Mondal

Mixture-of-Experts (MoE) has emerged as a promising sparse paradigm for scaling up pre-trained models (PTMs) with remarkable cost-effectiveness. However, the dynamic nature of MoE leads to rapid fluctuations and imbalances in expert loads…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-05 Yuhao Qing , Guichao Zhu , Fanxin Li , Lintian Lei , Zekai Sun , Xiuxian Guan , Shixiong Zhao , Xusheng Chen , Dong Huang , Sen Wang , Heming Cui

The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers. The CME is a system of ordinary differential equations…

Quantitative Methods · Quantitative Biology 2017-10-25 Ankit Gupta , Jan Mikelson , Mustafa Khammash

We propose the *State Space Neural Operator* (SS-NO), a compact architecture for learning solution operators of time-dependent partial differential equations (PDEs). Our formulation extends structured state space models (SSMs) to joint…

Machine Learning · Computer Science 2026-03-09 Nodens Koren , Samuel Lanthaler

We propose a Bayesian methodology for estimating spiked covariance matrices with jointly sparse structure in high dimensions. The spiked covariance matrix is reparametrized in terms of the latent factor model, where the loading matrix is…

Methodology · Statistics 2019-01-31 Fangzheng Xie , Yanxun Xu , Carey E. Priebe , Joshua Cape

Computation of the large sparse matrix exponential has been an important topic in many fields, such as network and finite-element analysis. The existing scaling and squaring algorithm (SSA) is not suitable for the computation of the large…

Numerical Analysis · Mathematics 2021-10-12 Feng Wu , Kailing Zhang , Li Zhu , Jiayao Hu

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

Recurrent State-space models (RSSMs) are highly expressive models for learning patterns in time series data and system identification. However, these models assume that the dynamics are fixed and unchanging, which is rarely the case in…

Machine Learning · Computer Science 2023-10-16 Vaisakh Shaj , Dieter Buchler , Rohit Sonker , Philipp Becker , Gerhard Neumann

Visual tracking aims to automatically estimate the state of a target object in a video sequence, which is challenging especially in dynamic scenarios. Thus, numerous methods are proposed to introduce temporal cues to enhance tracking…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Yinchao Ma , Dengqing Yang , Zhangyu He , Wenfei Yang , Tianzhu Zhang

The fields of compressed sensing (CS) and matrix completion have shown that high-dimensional signals with sparse or low-rank structure can be effectively projected into a low-dimensional space (for efficient acquisition or processing) when…

Information Theory · Computer Science 2013-05-16 Han Lun Yap , Michael B. Wakin , Christopher J. Rozell