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20242026
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cs.LG2026

Warm-Starting Iterative Gaussian Processes for Faster Sequential Inference

Alan Yufei Dong, Jihao Andreas Lin, José Miguel Hernández-Lobato

Efficient Gaussian process (GP) inference is critical for sequential decision-making tasks such as active learning, online prediction, and Bayesian optimization. Iterative approach…

cs.LG2026

Empirical Gaussian Processes

Jihao Andreas Lin, Sebastian Ament, Louis C. Tiao +3

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This k…

cs.LG2025

Scalable Gaussian Processes with Latent Kronecker Structure

Jihao Andreas Lin, Sebastian Ament, Maximilian Balandat +3

Applying Gaussian processes (GPs) to very large datasets remains a challenge due to limited computational scalability. Matrix structures, such as the Kronecker product, can acceler…

cs.LG2025

Improving Linear System Solvers for Hyperparameter Optimisation in Iterative Gaussian Processes

Jihao Andreas Lin, Shreyas Padhy, Bruno Mlodozeniec +2

Scaling hyperparameter optimisation to very large datasets remains an open problem in the Gaussian process community. This paper focuses on iterative methods, which use linear syst…

cs.LG2024

Scaling Gaussian Processes for Learning Curve Prediction via Latent Kronecker Structure

Jihao Andreas Lin, Sebastian Ament, Maximilian Balandat +1

A key task in AutoML is to model learning curves of machine learning models jointly as a function of model hyper-parameters and training progression. While Gaussian processes (GPs)…

cs.LG2024

Warm Start Marginal Likelihood Optimisation for Iterative Gaussian Processes

Jihao Andreas Lin, Shreyas Padhy, Bruno Mlodozeniec +1

Gaussian processes are a versatile probabilistic machine learning model whose effectiveness often depends on good hyperparameters, which are typically learned by maximising the mar…