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Probability Theory

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Probability Theory

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Research Frontiers in Gaussian Processes and Functional Data Analysis

Theory and applications of infinite-dimensional Gaussian measures with focus on regression and uncertainty quantification.

Infinite-Dimensional Covariance Structure in High-Dimensional Spaces
Sparse Functional Data and Adaptive Basis Selection
Non-Stationary Gaussian Processes on Manifolds
Functional Extremes and Tail Dependence Architecture
Scalable Approximations for Massive Functional Datasets
Gaussian Processes with Functional Response Variables
Reproducing Kernel Hilbert Space Inference Under Constraints
Bayesian Nonparametric Learning of Functional Trajectories
Functional Data Synchronization Across Misaligned Domains
Deep Generative Models for Functional Data Synthesis

All Probability Theory PhD categories