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https://github.com/KislayaRavi/MuDaFuGP
https://github.com/KislayaRavi/MuDaFuGP
Last synced: 11 days ago
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- Host: GitHub
- URL: https://github.com/KislayaRavi/MuDaFuGP
- Owner: KislayaRavi
- Created: 2022-10-26T15:46:55.000Z (about 2 years ago)
- Default Branch: main
- Last Pushed: 2024-07-23T13:21:55.000Z (4 months ago)
- Last Synced: 2024-08-01T16:45:46.756Z (3 months ago)
- Language: Jupyter Notebook
- Size: 2.55 MB
- Stars: 1
- Watchers: 2
- Forks: 0
- Open Issues: 0
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Metadata Files:
- Readme: README.md
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README
![Logo](./docs/materials/logo/logo.png)
# MuDaFu GP
This project provides parameterized implementations of various multi-fidelity Gaussian Process Regression algorithms:
- Nonlinear autoregressive multi-fidelity Gaussian Processes [[1]](#1)
- Gaussian Processes with Data Fusion and Delays [[2]](#1)Underfitted models can be efficiently improved using an entropy reduction method called Adaptation.
This repo also provides a Polynomial Chaos Expansion implementation, which can be performed on the mean prediction functions of MFGPs.
Linking PCE and multi-fidelity models leads to equal precisions as direct PCE but needs much less high-fidelity model evaluations.
This saves a significant amount of computation effort.This library also supports applications:
- Multifidelity forward uncertainity quantification
- Multifidelity No-Turn Sampling
- Multifildelity Bayesian Optimization# References
[1]
Perdikaris, Paris, et al. "Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473.2198 (2017): 20160751.[2]
S. Lee, F. Dietrich, G. E. Karniadakis, and I. G. Kevrekidis. “Linking Gaussianprocess regression with data-driven manifold embeddings for nonlinear datafusion.” In:Interface focus9.3 (2019), p. 20180083.