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The Elementary Gaussian Processes [PDF]
The Annals of Mathematical Statistics, 1944 J. L. Doob
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Modelling of Li-Ion battery state-of-health with Gaussian processes [PDF]
Archives of Electrical Engineering, 2023 The problem of lithium-ion cells, which degrade in time on their own and while used, causes a significant decrease in total capacity and an increase in inner resistance. So, it is important to have a way to predict and simulate the remaining usability of
Adrian Dudek, Jerzy Baranowski
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Oscillating Gaussian processes [PDF]
Statistical Inference for Stochastic Processes, 2020 AbstractIn this article we introduce and study oscillating Gaussian processes defined by$$X_t = \alpha _+ Y_t \mathbf{1}_{Y_t >0} + \alpha _- Y_t\mathbf{1}_{Y_t<0}$$Xt=α+Yt1Yt>0+α-Yt1Yt<0, where$$\alpha _+,\alpha _->0$$α+,α->0are free parameters andYis either stationary or self-similar Gaussian process.
Ilmonen, Pauliina +2 more
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A set-based approach to dynamic system design using physics informed neural network
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2022 In the early stage of dynamic system development which has a multi-disciplinary and hierarchical structure, system requirements need to be cascaded down to target values of each component so that engineers can collaborate efficiently and concurrently ...
Kohei SHINTANI +2 more
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Generating random terrains in 3D games by an approximated version of Gaussian process
Tạp chí Khoa học, 2023 Creating a 3D terrain or a wave surface takes a lot of time for a graphic artist in the 3D game creation process. This problem poses the following computer requirements: the generated terrain surface must be both random at all points, but also smooth and
DANG Viet Hung, VO Van Nhan
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Prediction on α-decay Energy of Heavy and Superheavy Nuclei Using Machine Learning
Yuanzineng kexue jishu, 2023 α-decay is one of the most dominant decay modes of unstable nuclei. It is helpful for the investigation of exotic nuclear structures. Moreover, α-decay is a powerful tool for identifying the newly synthesized nuclides for heavy and superheavy nuclei in ...
YUAN Ziyi;REN Zhongzhou;BAI Dong;WANG Zhen
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Gaussian Processes and Gaussian Measures [PDF]
The Annals of Mathematical Statistics, 1972 The subject of this paper is the study of the correspondence between Gaussian processes with paths in linear function spaces and Gaussian measures on function spaces. For the function spaces $C(I), C^n\lbrack a, b\rbrack, AC\lbrack a, b\rbrack$ and $L_2(T, \mathscr{A}, \nu)$ it is shown that if a Gaussian process has paths in these spaces then it ...
Rajput, Balram S., Cambanis, Stamatis
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IET Intelligent Transport Systems, 2023 Vehicle‐to‐Everything (V2X) communication has been proposed as a potential solution to improve the robustness and safety of autonomous vehicles by improving coordination and removing the barrier of non‐line‐of‐sight sensing.
Rodolfo Valiente +5 more
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Journal of Hydroinformatics, 2023 This paper explores the ability of multivariate adaptive regression splines, decision trees, Gaussian processes, and multiple non-linear regression equation approaches to predict the aeration efficiency at various weirs and discusses their results.
Akash Jaiswal, Arun Goel, Parveen Sihag
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Nonnegativity-enforced Gaussian process regression
Theoretical and Applied Mechanics Letters, 2020 : Gaussian process (GP) regression is a flexible non-parametric approach to approximate complex models. In many cases, these models correspond to processes with bounded physical properties.
Andrew Pensoneault, Xiu Yang, Xueyu Zhu
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