# Comment on "Probabilistic Integration: A Role in Statistical   Computation?"

**Authors:** Fred J. Hickernell, R. Jagadeeswaran

arXiv: 1812.01811 · 2018-12-06

## TL;DR

This paper discusses the assumptions and implementation challenges of automatic Bayesian cubature, a probabilistic integration method that determines when a simulation has achieved a desired error tolerance with high confidence.

## Contribution

It provides critical commentary on the modeling assumptions and practical issues in designing automatic Bayesian cubature methods.

## Key findings

- Highlights key modeling assumptions in probabilistic integration.
- Identifies implementation challenges in automatic Bayesian cubature.
- Discusses the criteria for stopping simulations based on confidence levels.

## Abstract

Probabilistic integration provides a criterion for stopping a simulation when a specified error tolerance is satisfied with high confidence. We comment on some of the modeling assumptions and implementation issues involved in designing an automatic Bayesian cubature.

## Full text

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## Figures

3 figures with captions in the complete paper: https://tomesphere.com/paper/1812.01811/full.md

## References

9 references — full list in the complete paper: https://tomesphere.com/paper/1812.01811/full.md

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Source: https://tomesphere.com/paper/1812.01811