arXiv Open Access 2024

Statistical Mechanical Analysis of Gaussian Processes

Jun Tsuzurugi

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Abstrak

In this paper, we analyze Gaussian processes using statistical mechanics. Although the input is originally multidimensional, we simplify our model by considering the input as one-dimensional for statistical mechanical analysis. Furthermore, we employ periodic boundary conditions as an additional modeling approach. By using periodic boundary conditions, we can diagonalize the covariance matrix. The diagonalized covariance matrix is then applied to Gaussian processes. This allows for a statistical mechanical analysis of Gaussian processes using the derived diagonalized matrix. We indicate that the analytical solutions obtained in this method closely match the results from simulations.

Topik & Kata Kunci

cond-mat.stat-mech physics.data-an

Penulis (1)

Jun Tsuzurugi

Format Sitasi

APA MLA BibTeX

Tsuzurugi, J. (2024). Statistical Mechanical Analysis of Gaussian Processes. https://arxiv.org/abs/2409.13772

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓