# Bayesian Emulation for Computer Models with Multiple Partial Discontinuities

arXiv: https://arxiv.org/abs/2210.10468 · HTML: https://mlsanity.com/paper/2210.10468/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 7 of its 55 references that are in the map.
- First posted on arXiv 19 Oct 2022.

## Builds on (most cited first, 7 of 7)

- [Active Learning for Deep Gaussian Process Surrogates](https://mlsanity.com/paper/2012.08015/) (2020)
- [Galaxy Formation: Bayesian History Matching for the Observable Universe](https://mlsanity.com/paper/1405.4976/) (2014)
- [Bayesian uncertainty analysis for complex systems biology models: emulation, global parameter searches and evaluation of gene functions](https://mlsanity.com/paper/1607.06358/) (2016)
- [Known Boundary Emulation of Complex Computer Models](https://mlsanity.com/paper/1801.03184/) (2018)
- [A Bayesian computer model analysis of Robust Bayesian analyses](https://mlsanity.com/paper/1703.01234/) (2017)
- [Emulating computer models with step-discontinuous outputs using Gaussian processes](https://mlsanity.com/paper/1903.02071/) (2019)
- [Efficient Emulation of Computer Models Utilising Multiple Known Boundaries of Differing Dimensions](https://mlsanity.com/paper/1910.08846/) (2019)

## Abstract (arXiv)

Computer models are widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast statistical construct that mimics the slow to evaluate computer model, and greatly aids the vastly more computationally intensive uncertainty quantification calculations that an important scientific analysis often requires. We examine the problem of emulating computer models that possess multiple, partial discontinuities occurring at known non-linear location. We introduce the TENSE framework, based on carefully designed correlation structures that respect the discontinuities while enabling full exploitation of any smoothness/continuity elsewhere. This leads to a single emulator object that can be updated by all runs simultaneously, and also used for efficient design. This approach avoids having to split the input space into multiple subregions. We apply the TENSE framework to the TNO Challenge II, emulating the OLYMPUS reservoir model, which possess multiple such discontinuities.