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An Intuitive Tutorial to Gaussian Processes Regression

An Intuitive Tutorial to Gaussian Processes Regression [ ] 2 Feb 2021. Jie Wang Ingenuity Labs Research Institute February 3, 2021. Offroad Robotics c/o Ingenuity Labs Research Institute Queen's University Kingston, ON K7L 3N6 Canada Abstract This Tutorial aims to provide an Intuitive understanding of the Gaussian Processes Regression . Gaussian Processes Regression (GPR) models have been widely used in machine learning applications because of their representation flexibility and inherently uncertainty measures over predictions. The basic concepts that a Gaussian process is built on, including multivariate normal distribution , kernels, non-parametric models, joint and conditional probability were explained first.

An Intuitive Tutorial to Gaussian Processes Regression 3 Gaussian vector x2 = [x1 2, x 2 2,. . ., x n 2] in the same coordinates at Y = 1 shown in Fig.3. Keep in mind that either x 1 or x2 is a uni-variate normal distribution shown in Fig.2. 0.0 0.2 0.4 0.6 0.8 1.0

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