Construct_G_matern_5_2

The coefficient matrix in the dynamic linear model when kernel is the Matern covariance with roughness parameter 2.5.

internal

Implements fast and exact computation of Gaussian stochastic process with the Matern kernel using forward filtering and backward smoothing algorithm. It includes efficient implementations of the inverse Kalman filter, with applications such as estimating particle interaction functions. These tools support models with or without noise. Additionally, the package offers algorithms for fast parameter estimation in latent factor models, where the factor loading matrix is orthogonal, and latent processes are modeled by Gaussian processes. See the references: 1) Mengyang Gu and Yanxun Xu (2020), Journal of Computational and Graphical Statistics; 2) Xinyi Fang and Mengyang Gu (2024), <doi:10.48550/arXiv.2407.10089>; 3) Mengyang Gu and Weining Shen (2020), Journal of Machine Learning Research; 4) Yizi Lin, Xubo Liu, Paul Segall and Mengyang Gu (2025), <doi:10.48550/arXiv.2501.01324>.

Mengyang Gu

FastGaSP

Fast and Exact Computation of Gaussian Stochastic Process

Xinyi Fang

Yizi Lin

Construct_G_matern_5_2 function

<dl> <dt>delta_x</dt>
<dd>The distance between the sorted input.</dd> <dt>lambda</dt>
<dd>the transformed range parameter.</dd></dl>

Arguments

tools:::Rd_package_author("FastGaSP")
Maintainer: tools:::Rd_package_maintainer("FastGaSP")

Author

The coefficient matrix in the dynamic linear model when kernel is the Matern covariance with roughness parameter 2.5. — Construct_G_matern_5_2

<dl>

 <dt>delta_x</dt>
<dd>The distance between the sorted input.</dd>

 <dt>lambda</dt>
<dd>the transformed range parameter.</dd>

</dl>

Construct_G_matern_5_2: The coefficient matrix in the dynamic linear model when kernel is the Matern covariance with roughness parameter 2.5.

Description

Usage

Value

Arguments

Author

References