About the Authors

Chris C. A. Spencer

Contributed equally to this work with: Chris C. A. Spencer, Zhan Su

Affiliation Department of Statistics, University of Oxford, Oxford, United Kingdom

Zhan Su

Contributed equally to this work with: Chris C. A. Spencer, Zhan Su

Affiliation Department of Statistics, University of Oxford, Oxford, United Kingdom

Peter Donnelly

These authors also contributed equally to this work.

Affiliation Department of Statistics, University of Oxford, Oxford, United Kingdom

Jonathan Marchini

marchini@stats.ox.ac.uk

These authors also contributed equally to this work.

Affiliation Department of Statistics, University of Oxford, Oxford, United Kingdom

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: CCAS PD JM. Performed the experiments: CCAS ZS. Contributed reagents/materials/analysis tools: ZS JM. Wrote the paper: PD JM.