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Multilevel Monte Carlo for Reliability Theory (2017)
Journal Article
Aslett, L., Nagapetyan, T., & Vollmer, S. (2017). Multilevel Monte Carlo for Reliability Theory. Reliability Engineering & System Safety, 165, 188-196. https://doi.org/10.1016/j.ress.2017.03.003

As the size of engineered systems grows, problems in reliability theory can become computationally challenging, often due to the combinatorial growth in the number of cut sets. In this paper we demonstrate how Multilevel Monte Carlo (MLMC) — a simula... Read More about Multilevel Monte Carlo for Reliability Theory.

Encrypted accelerated least squares regression (2017)
Conference Proceeding
Esperança, P., Aslett, L., & Holmes, C. (2017). Encrypted accelerated least squares regression. In A. Singh, & J. Zhu (Eds.), Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, PMLR 54 (334-343)

Information that is stored in an encrypted format is, by definition, usually not amenable to statistical analysis or machine learning methods. In this paper we present detailed analysis of coordinate and accelerated gradient descent algorithms which... Read More about Encrypted accelerated least squares regression.