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In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

机器学习 · 统计学 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

State-of-the-art methods for data-driven modelling of non-linear dynamical systems typically involve interactions with an expert user. In order to partially automate the process of modelling physical systems from data, many EA-based…

系统与控制 · 计算机科学 2020-05-11 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

Wireless power transfer (WPT) with coupled resonators offers a promising solution for the seamless powering of electronic devices. Interactive design approaches that visualize the magnetic field and power transfer efficiency based on system…

应用物理 · 物理学 2025-10-23 Yuichi Honjo , Cedric Caremel , Ken Takaki , Yuta Noma , Yoshihiro Kawahara , Takuya Sasatani

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 propose a robust method for estimating dynamic 3D curvilinear branching structure from monocular images. While 3D reconstruction from images has been widely studied, estimating thin structure has received less attention. This problem…

计算机视觉与模式识别 · 计算机科学 2016-08-16 Kyle Simek , Ravishankar Palanivelu , Kobus Barnard

In a broad and fundamental type of ''inverse problems'' in science, one infers a spatially distributed physical attribute based on observations of processes that are controlled by the spatial attribute in question. The data-generating field…

统计方法学 · 统计学 2014-09-09 Zepu Zhang

The transition to a smarter grid is empowered by enhanced sensor deployments and smart metering infrastructure in the distribution system. Measurements from these sensors and meters can be used for many applications, including distribution…

系统与控制 · 电气工程与系统科学 2022-09-07 Shweta Dahale , Balasubramaniam Natarajan

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

机器人学 · 计算机科学 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

This paper is concerned with regularized extensions of hierarchical non-stationary temporal Gaussian processes (NSGPs) in which the parameters (e.g., length-scale) are modeled as GPs. In particular, we consider two commonly used NSGP…

统计方法学 · 统计学 2021-05-21 Zheng Zhao , Rui Gao , Simo Särkkä

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

统计计算 · 统计学 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

Modeling sequential data has become more and more important in practice. Some applications are autonomous driving, virtual sensors and weather forecasting. To model such systems, so called recurrent models are frequently used. In this paper…

机器学习 · 统计学 2019-10-01 Roman Föll , Bernard Haasdonk , Markus Hanselmann , Holger Ulmer

Designing a covariance function that represents the underlying correlation is a crucial step in modeling complex natural systems, such as climate models. Geospatial datasets at a global scale usually suffer from non-stationarity and…

机器学习 · 统计学 2015-07-10 Chintan A. Dalal , Vladimir Pavlovic , Robert E. Kopp

In this paper, we present an extension to the recursive Gaussian Process (RGP) regression that enables the satisfaction of inequality constraints and is well suited for a real-time execution in control applications. The soft inequality…

系统与控制 · 电气工程与系统科学 2025-10-30 Ricus Husmann , Sven Weishaupt , Harald Aschemann

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

We propose a new approach to inverse reinforcement learning (IRL) based on the deep Gaussian process (deep GP) model, which is capable of learning complicated reward structures with few demonstrations. Our model stacks multiple latent GP…

机器学习 · 计算机科学 2017-05-08 Ming Jin , Andreas Damianou , Pieter Abbeel , Costas Spanos

Non-parametric reconstruction methods, such as Gaussian process (GP) regression, provide a model-independent way of estimating an underlying function and its uncertainty from noisy data. We demonstrate how GP-reconstruction can be used as a…

宇宙学与河外天体物理 · 物理学 2017-12-25 Amir Aghamousa , Jan Hamann , Arman Shafieloo

This paper presents a new approach to a robust Gaussian process (GP) regression. Most existing approaches replace an outlier-prone Gaussian likelihood with a non-Gaussian likelihood induced from a heavy tail distribution, such as the…

机器学习 · 计算机科学 2020-01-15 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter , Fritz J. Friedersdorf

Collecting operationally realistic data to inform machine learning models can be costly. Before collecting new data, it is helpful to understand where a model is deficient. For example, object detectors trained on images of rare objects may…

机器学习 · 统计学 2025-12-24 Anna R. Flowers , Christopher T. Franck , Robert B. Gramacy , Justin A. Krometis

Gaussian processes regression models are an appealing machine learning method as they learn expressive non-linear models from exemplar data with minimal parameter tuning and estimate both the mean and covariance of unseen points. However,…

机器学习 · 计算机科学 2020-08-25 Vladimir Joukov , Dana Kulić