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Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

One of the pivotal tasks in scientific machine learning is to represent underlying dynamical systems from time series data. Many methods for such dynamics learning explicitly require the derivatives of state data, which are not directly…

机器学习 · 计算机科学 2024-04-17 Dongwei Ye , Mengwu Guo

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

统计方法学 · 统计学 2025-08-19 Andrea Arnold

The formalism of quantum estimation theory with a specific focus on classical data postprocessing is applied to a two-level system driven by an external gyrating magnetic field. We employed both Bayesian and frequentist approaches to…

量子物理 · 物理学 2025-05-05 Chun Kit Dennis Law , József Zsolt Bernád

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

统计理论 · 数学 2025-12-15 Piotr Bania , Anna Wójcik

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

机器人学 · 计算机科学 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

We propose r-ssGPFA, an unsupervised online anomaly detection model for uni- and multivariate time series building on the efficient state space formulation of Gaussian processes. For high-dimensional time series, we propose an extension of…

机器学习 · 计算机科学 2022-01-19 Christian Bock , François-Xavier Aubet , Jan Gasthaus , Andrey Kan , Ming Chen , Laurent Callot

In this paper we present a new algorithm for online (sequential) inference in Bayesian neural networks, and show its suitability for tackling contextual bandit problems. The key idea is to combine the extended Kalman filter (which locally…

机器学习 · 计算机科学 2022-05-02 Gerardo Duran-Martin , Aleyna Kara , Kevin Murphy

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

机器学习 · 计算机科学 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

We introduce a real-time identification method for discrete-time state-dependent switching systems in both the input--output and state-space domains. In particular, we design a system of adaptive algorithms running in two timescales; a…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , Karl Henrik Johansson

The Gaussian mixture model is a classic technique for clustering and data modeling that is used in numerous applications. With the rise of big data, there is a need for parameter estimation techniques that can handle streaming data and…

人工智能 · 计算机科学 2016-09-20 Priyank Jaini , Pascal Poupart

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

信号处理 · 电气工程与系统科学 2022-02-15 Alice Cicirello , Filippo Giunta

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

统计方法学 · 统计学 2026-01-21 Taehee Lee , Jun S. Liu

We propose a two stage procedure for the estimation of the parameters of a fairly general, continuous-time stochastic volatility. An important ingredient of the proposed method is the Cuchiero-Teichmann volatility estimator, which is based…

统计理论 · 数学 2018-12-31 Milan Merkle , Yuri F. Saporito , Rodrigo S. Targino

The problem of clock offset estimation in a two way timing message exchange regime is considered when the likelihood function of the observation time stamps is Gaussian, exponential or log-normally distributed. A parametrized solution to…

信息论 · 计算机科学 2012-02-01 Aitzaz Ahmad , Davide Zennaro , Erchin Serpedin , Lorenzo Vangelista

We present a Bayesian nonparametric system reliability model which scales well and provides a great deal of flexibility in modeling. The Bayesian approach naturally handles the disparate amounts of component and subsystem data that may…

统计方法学 · 统计学 2022-03-22 Richard L. Warr , Jeremy M. Meyer , Jackson T. Curtis

This paper proposes a new minimum description length procedure to detect multiple changepoints in time series data when some times are a priori thought more likely to be changepoints. This scenario arises with temperature time series…

统计方法学 · 统计学 2019-05-14 Yingbo Li , Robert Lund , Anuradha Hewaarachchi

Having actual models for power system components (such as generators and loads or auxiliary equipment) is vital to correctly assess the power system operating state and to establish stability margins. However, power system operators often…

信号处理 · 电气工程与系统科学 2020-01-22 Artem Mikhalev , Alexander Emchinov , Samuel Chevalier , Yury Maximov , Petr Vorobev

Nowadays, hospitals are ubiquitous and integral to modern society. Patients flow in and out of a veritable whirlwind of paperwork, consultations, and potential inpatient admissions, through an abstracted system that is not without flaws.…

人工智能 · 计算机科学 2016-09-21 Hugh Chen , Yusuf Erol , Eric Shen , Stuart Russell

The focus in this paper is Bayesian system identification based on noisy incomplete modal data where we can impose spatially-sparse stiffness changes when updating a structural model. To this end, based on a similar hierarchical sparse…

应用统计 · 统计学 2017-02-07 Yong Huang , James L. Beck , Hui Li