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Data-driven models are subject to model errors due to limited and noisy training data. Key to the application of such models in safety-critical domains is the quantification of their model error. Gaussian processes provide such a measure…

机器学习 · 计算机科学 2024-09-23 Armin Lederer , Jonas Umlauft , Sandra Hirche

3D Gaussian Splatting (3DGS) has become a competitive approach for novel view synthesis (NVS) due to its advanced rendering efficiency through 3D Gaussian projection and blending. However, Gaussians are treated equally weighted for…

计算机视觉与模式识别 · 计算机科学 2025-08-08 Zhihao Guo , Peng Wang , Zidong Chen , Xiangyu Kong , Yan Lyu , Guanyu Gao , Liangxiu Han

Accurate and uncertainty-aware degradation estimation is essential for predictive maintenance in safety-critical systems like rotating machinery with rolling-element bearings. Many existing uncertainty methods lack confidence calibration,…

机器学习 · 计算机科学 2025-12-19 Waleed Razzaq , Yun-Bo Zhao

The paper considers the problem of global optimization in the setup of stochastic process bandits. We introduce an UCB algorithm which builds a cascade of discretization trees based on generic chaining in order to render possible his…

机器学习 · 统计学 2016-02-22 Emile Contal , Nicolas Vayatis

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are nonparametric probabilistic models…

We introduce Deep Sigma Point Processes, a class of parametric models inspired by the compositional structure of Deep Gaussian Processes (DGPs). Deep Sigma Point Processes (DSPPs) retain many of the attractive features of (variational)…

机器学习 · 统计学 2020-12-29 Martin Jankowiak , Geoff Pleiss , Jacob R. Gardner

Recent advances in the field of meta-learning have tackled domains consisting of large numbers of small ("few-shot") supervised learning tasks. Meta-learning algorithms must be able to rapidly adapt to any individual few-shot task, fitting…

机器学习 · 计算机科学 2021-10-22 Vivek Myers , Nikhil Sardana

Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

最优化与控制 · 数学 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

Gaussian process regression (GPR) is a popular nonparametric Bayesian method that provides predictive uncertainty estimates and is widely used in safety-critical applications. While prior research has introduced various uncertainty bounds,…

机器学习 · 计算机科学 2025-12-05 Junyi Liu , Stanley Kok

Recent advances in communications, mobile computing, and artificial intelligence have greatly expanded the application space of intelligent distributed sensor networks. This in turn motivates the development of generalized Bayesian…

机器人学 · 计算机科学 2013-08-15 Nisar Ahmed , Tsung-Lin Yang , Mark Campbell

This work centers on the communication aspects of decentralized learning over wireless networks, using consensus-based decentralized stochastic gradient descent (D-SGD). Considering the actual communication cost or delay caused by…

机器学习 · 计算机科学 2023-10-26 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

An important issue in model-based control design is that an accurate dynamic model of the system is generally nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based…

系统与控制 · 电气工程与系统科学 2022-11-08 Yuhan Liu , Pengyu Wang , Roland Tóth

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

机器学习 · 统计学 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Temporal variations of apparent magnitude, called light curves, are observational statistics of interest captured by telescopes over long periods of time. Light curves afford the exploration of Space Domain Awareness (SDA) objectives such…

天体物理仪器与方法 · 物理学 2022-09-01 Imène R. Goumiri , Alec M. Dunton , Amanda L. Muyskens , Benjamin W. Priest , Robert E. Armstrong

Gaussian processes (GPs) are non-linear probabilistic models popular in many applications. However, na\"ive GP realizations require quadratic memory to store the covariance matrix and cubic computation to perform inference or evaluate the…

统计计算 · 统计学 2021-05-03 Amanda Muyskens , Benjamin Priest , Imène Goumiri , Michael Schneider

Providing accurate uncertainty estimations is essential for producing reliable machine learning models, especially in safety-critical applications such as accelerator systems. Gaussian process models are generally regarded as the gold…

Precise localization and tracking of moving non-collaborative persons and objects using a network of ultra-wideband (UWB) radar nodes has been shown to represent a practical and effective approach. In UWB radar sensor networks (RSNs),…

信号处理 · 电气工程与系统科学 2021-08-03 B. Yan , A. Giorgetti , E. Paolini

Safety is a critical issue in learning-based robotic and autonomous systems as learned information about their environments is often unreliable and inaccurate. In this paper, we propose a risk-aware motion control tool that is robust…

机器人学 · 计算机科学 2020-03-06 Astghik Hakobyan , Insoon Yang

Gaussian Processes (GP) are widely used for probabilistic modeling and inference for nonparametric regression. However, their computational complexity scales cubicly with the sample size rendering them unfeasible for large data sets. To…

统计理论 · 数学 2022-05-11 Amine Hadji , Tammo Hesselink , Botond Szabó

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

机器学习 · 计算机科学 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu