Gaussian processes: from theory to applications

Pulicati, Leonardo (A.A. 2024/2025) Gaussian processes: from theory to applications. Tesi di Laurea in Advanced statistics, Luiss Guido Carli, relatore Marta Catalano, pp. 83. [Master's Degree Thesis]

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Abstract/Index

Overview on gaussian processes. Gaussian processes regression. The regression problem. Frequentist linear regression. Bayesian linear regression. Gaussian processes regression. Bayesian linear regression vs gaussian processes regression. Hyperparameters. Equivalent kernel. Basis functions. Real World Case. Gaussian processes classification. General framework for classification. Linear models for classification with Bayesian inference (Bayesian logistic regression). Gaussian processes classification. Gaussian processes classification: multiclass Laplace approximation. Simulation-based calibration for validating gaussian processes inference. Simulation-based calibration for gaussian processes. SBC evaluation in gaussian processes regression and classification. SBC in gaussian processes regression. SBC in gaussian processes classification.

References

Bibliografia: p. 83.

Thesis Type: Master's Degree Thesis
Institution: Luiss Guido Carli
Degree Program: Master's Degree Programs > Master's Degree Program in Data Science e Management (LM-91)
Chair: Advanced statistics
Thesis Supervisor: Catalano, Marta
Thesis Co-Supervisor: Martino, Alessio
Academic Year: 2024/2025
Session: Autumn
Deposited by: Alessandro Perfetti
Date Deposited: 03 Mar 2026 10:59
Last Modified: 03 Mar 2026 10:59
URI: https://tesi.luiss.it/id/eprint/45046

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