@article {MR5040261, AUTHOR = {Pavliotis, G. A. and Spacek, R. and Stoltz, G. and Vaes, U.}, TITLE = {Neural {N}etwork {A}pproaches for {V}ariance {R}eduction in {F}luctuation {F}ormulas}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {14}, YEAR = {2026}, NUMBER = {1}, PAGES = {221--255}, ISSN = {2166-2525}, MRCLASS = {82C32 (46N30 65C40 82C31)}, MRNUMBER = {5040261}, DOI = {10.1137/24M1710693}, URL = {https://doi-org.extranet.enpc.fr/10.1137/24M1710693}, }