The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference

By Jean Barbier, Nicolas Macris. Probability theory and related fields, 2018

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The committee machine: computational to statistical gaps in learning a two-layers neural network (2018, methodology): “The proof sketch based on an adaptive interpolation method recently developed in [24] is outlined and the details can be found in [33].”
0-1 Phase Transitions in Sparse Spiked Matrix Estimation (2019, methodology): “Applying repeatedly the Nishimori identity of Lemma 12 (appendix 10) one obtains (this computation does not present any di culty and can be found in section 6 of [13])”
Optimal errors and phase transitions in high-dimensional generalized linear models (2017, background): “52 and is of independent interest as it is applicable to a range of other models.”