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Filter based methods for statistical linear inverse problems (2017)
Journal Article
Iglesias, M., Lin, K., Shuai, L., & Stuart, A. M. (2017). Filter based methods for statistical linear inverse problems. Communications in Mathematical Sciences, 15(7), 1867–1896. https://doi.org/10.4310/CMS.2017.v15.n7.a4

Ill-posed inverse problems are ubiquitous in applications. Understanding of algorithms for their solution has been greatly enhanced by a deep understanding of the linear inverse problem. In the applied communities ensemble-based filtering methods hav... Read More about Filter based methods for statistical linear inverse problems.

Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements (2017)
Journal Article
Iglesias, M., Sawlan, Z., Scavino, M., Tempone, R., & Wood, C. J. (2018). Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements. International Journal of Heat and Mass Transfer, 116, https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.022

The assessment of the thermal properties of walls is essential for accurate building energy simulations that are needed to make effective energy-saving policies. These properties are usually investigated through in-situ measurements of temperature an... Read More about Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements.