Search Results for author: Chris van der Heide

Found 6 papers, 1 papers with code

Gradient-enhanced deep Gaussian processes for multifidelity modelling

no code implementations25 Feb 2024 Viv Bone, Chris van der Heide, Kieran Mackle, Ingo H. J. Jahn, Peter M. Dower, Chris Manzie

Multifidelity models integrate data from multiple sources to produce a single approximator for the underlying process.

Gaussian Processes

A PAC-Bayesian Perspective on the Interpolating Information Criterion

no code implementations13 Nov 2023 Liam Hodgkinson, Chris van der Heide, Robert Salomone, Fred Roosta, Michael W. Mahoney

Deep learning is renowned for its theory-practice gap, whereby principled theory typically fails to provide much beneficial guidance for implementation in practice.

The Interpolating Information Criterion for Overparameterized Models

no code implementations15 Jul 2023 Liam Hodgkinson, Chris van der Heide, Robert Salomone, Fred Roosta, Michael W. Mahoney

The problem of model selection is considered for the setting of interpolating estimators, where the number of model parameters exceeds the size of the dataset.

Model Selection

Monotonicity and Double Descent in Uncertainty Estimation with Gaussian Processes

no code implementations14 Oct 2022 Liam Hodgkinson, Chris van der Heide, Fred Roosta, Michael W. Mahoney

One prominent issue is the curse of dimensionality: it is commonly believed that the marginal likelihood should be reminiscent of cross-validation metrics and that both should deteriorate with larger input dimensions.

Gaussian Processes Uncertainty Quantification

Stochastic Normalizing Flows

no code implementations NeurIPS 2020 Liam Hodgkinson, Chris van der Heide, Fred Roosta, Michael W. Mahoney

We introduce stochastic normalizing flows, an extension of continuous normalizing flows for maximum likelihood estimation and variational inference (VI) using stochastic differential equations (SDEs).

Variational Inference

Avoiding Kernel Fixed Points: Computing with ELU and GELU Infinite Networks

1 code implementation20 Feb 2020 Russell Tsuchida, Tim Pearce, Chris van der Heide, Fred Roosta, Marcus Gallagher

Secondly, and more generally, we analyse the fixed-point dynamics of iterated kernels corresponding to a broad range of activation functions.

Gaussian Processes

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