Search Results for author: Chi-Ken Lu

Found 6 papers, 3 papers with code

Bayesian inference with finitely wide neural networks

no code implementations6 Mar 2023 Chi-Ken Lu

On the basis of multivariate Edgeworth expansion, we propose a non-Gaussian distribution in differential form to model a finite set of outputs from a random neural network, and derive the corresponding marginal and conditional properties.

Bayesian Inference

On Connecting Deep Trigonometric Networks with Deep Gaussian Processes: Covariance, Expressivity, and Neural Tangent Kernel

no code implementations14 Mar 2022 Chi-Ken Lu, Patrick Shafto

With Bochner's theorem, DGP with squared exponential kernel can be viewed as a deep trigonometric network consisting of the random feature layers, sine and cosine activation units, and random weight layers.

Gaussian Processes

Conditional Deep Gaussian Processes: empirical Bayes hyperdata learning

1 code implementation1 Oct 2021 Chi-Ken Lu, Patrick Shafto

Preliminary extrapolation results demonstrate expressive power from the depth of hierarchy by exploiting the exact covariance and hyperdata learning, in comparison with GP kernel composition, DGP variational inference and deep kernel learning.

Gaussian Processes Variational Inference

Conditional Deep Gaussian Processes: multi-fidelity kernel learning

1 code implementation7 Feb 2020 Chi-Ken Lu, Patrick Shafto

Recently, [1] pointed out that the hierarchical structure of DGP well suited modeling the multi-fidelity regression, in which one is provided sparse observations with high precision and plenty of low fidelity observations.

Few-Shot Learning Gaussian Processes +4

Interpretable deep Gaussian processes with moments

no code implementations27 May 2019 Chi-Ken Lu, Scott Cheng-Hsin Yang, Xiaoran Hao, Patrick Shafto

We propose interpretable DGP based on approximating DGP as a GP by calculating the exact moments, which additionally identify the heavy-tailed nature of some DGP distributions.

Gaussian Processes

Standing Wave Decomposition Gaussian Process

1 code implementation9 Mar 2018 Chi-Ken Lu, Scott Cheng-Hsin Yang, Patrick Shafto

We propose a Standing Wave Decomposition (SWD) approximation to Gaussian Process regression (GP).

regression

Cannot find the paper you are looking for? You can Submit a new open access paper.