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Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

机器学习 · 计算机科学 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

Reliable spatial uncertainty evaluation of object detection models is of special interest and has been subject of recent work. In this work, we review the existing definitions for uncertainty calibration of probabilistic regression tasks.…

机器学习 · 计算机科学 2022-08-22 Fabian Küppers , Jonas Schneider , Anselm Haselhoff

Despite the increased computational resources, the simulation-based design optimization (SBDO) procedure can be very expensive from a computational viewpoint, especially if high-fidelity solvers are required. Multi-fidelity metamodels have…

最优化与控制 · 数学 2021-07-30 Simone Ficini , Umberto Iemma , Riccardo Pellegrini , Andrea Serani , Matteo Diez

A key challenge in spatial statistics is the analysis for massive spatially-referenced data sets. Such analyses often proceed from Gaussian process specifications that can produce rich and robust inference, but involve dense covariance…

统计方法学 · 统计学 2019-07-25 Shinichiro Shirota , Andrew O. Finley , Bruce D. Cook , Sudipto Banerjee

We develop an online probabilistic metric-semantic mapping approach for mobile robot teams relying on streaming RGB-D observations. The generated maps contain full continuous distributional information about the geometric surfaces and…

机器人学 · 计算机科学 2021-03-31 Ehsan Zobeidi , Alec Koppel , Nikolay Atanasov

In this paper, we address the challenge of deriving dynamical models from sparse and noisy data. High-quality data is crucial for symbolic regression algorithms; limited and noisy data can present modeling challenges. To overcome this, we…

机器学习 · 计算机科学 2024-10-14 Junette Hsin , Shubhankar Agarwal , Adam Thorpe , Luis Sentis , David Fridovich-Keil

Dynamic behavior of traffic adversely affect the performance of the prediction models in intelligent transportation applications. This study applies Gaussian processes (GPs) to traffic speed prediction. Such predictions can be used by…

应用统计 · 统计学 2020-11-25 Gurcan Comert

Maneuvering target tracking is a challenging problem for sensor systems because of the unpredictability of the targets' motions. This paper proposes a novel data-driven method for learning the dynamical motion model of a target.…

信号处理 · 电气工程与系统科学 2022-11-28 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

Low-cost mobile sensors can be used to collect PM$_{2.5}$ concentration data throughout an entire city. However, identifying air pollution hotspots from the data is challenging due to the uneven spatial sampling, temporal variations in the…

Signal processing in non-Gaussian noise environment is addressed in this paper. For many real-life situations, the additive noise process present in the system is found to be dominantly non-Gaussian. The problem of detection and estimation…

统计理论 · 数学 2014-01-23 Jugalkishore K. Banoth , Pradip Sircar

Interference prediction and resource allocation are critical challenges in mission-critical applications where stringent latency and reliability constraints must be met. This paper proposes a novel Gaussian process regression (GPR)-based…

信号处理 · 电气工程与系统科学 2025-10-31 Syed Luqman Shah , Nurul Huda Mahmood , Matti Latva-aho

We introduce a new regression framework, Gaussian process regression networks (GPRN), which combines the structural properties of Bayesian neural networks with the non-parametric flexibility of Gaussian processes. This model accommodates…

机器学习 · 统计学 2011-10-21 Andrew Gordon Wilson , David A. Knowles , Zoubin Ghahramani

In this paper, we revisit batch state estimation through the lens of Gaussian process (GP) regression. We consider continuous-discrete estimation problems wherein a trajectory is viewed as a one-dimensional GP, with time as the independent…

机器人学 · 计算机科学 2014-12-02 Sean Anderson , Timothy D. Barfoot , Chi Hay Tong , Simo Särkkä

Satellite geodesy uses the measurement of the motion of one or more satellites to infer precise information about the Earth's gravitational field. In this work, we consider the achievable precision limits on such measurements by examining…

Space-based gravitational wave (GW) detectors will be able to observe signals from sources that are otherwise nearly impossible from current ground-based detection. Consequently, the well established signal detection method, matched…

广义相对论与量子宇宙学 · 物理学 2023-08-17 Tianyu Zhao , Ruoxi Lyu , He Wang , Zhoujian Cao , Zhixiang Ren

Learning dynamical models from data is not only fundamental but also holds great promise for advancing principle discovery, time-series prediction, and controller design. Among various approaches, Gaussian Process State-Space Models…

机器学习 · 计算机科学 2025-10-20 Tengjie Zheng , Haipeng Chen , Lin Cheng , Shengping Gong , Xu Huang

Gaussian Process Regression (GPR) is widely used in statistics and machine learning for prediction tasks requiring uncertainty measures. Its efficacy depends on the appropriate specification of the mean function, covariance kernel function,…

机器学习 · 计算机科学 2024-09-20 Shifan Zhao , Jiaying Lu , Ji Yang , Edmond Chow , Yuanzhe Xi

Gaussian process regression in its most simplified form assumes normal homoscedastic noise and utilizes analytically tractable mean and covariance functions of predictive posterior distribution using Gaussian conditioning. Its…

应用统计 · 统计学 2023-01-20 Pooja Algikar , Lamine Mili

Physical systems can often be described via a continuous-time dynamical system. In practice, the true system is often unknown and has to be learned from measurement data. Since data is typically collected in discrete time, e.g. by sensors,…

机器学习 · 计算机科学 2024-01-31 Katharina Ensinger , Nicholas Tagliapietra , Sebastian Ziesche , Sebastian Trimpe

Android raw Global Navigation Satellite System (GNSS) measurements are expected to bring smartphones power to take on demanding localization tasks that are traditionally performed by specialized GNSS receivers. The hardware constraints,…

信号处理 · 电气工程与系统科学 2023-09-29 Xu Weng , Keck Voon Ling