Learning integral operators via neural integral equations
Zappala E, Fonseca A, Caro J, Moberly A, Higley M, Cardin J, Dijk D. Learning integral operators via neural integral equations. Nature Machine Intelligence 2024, 6: 1046-1062. DOI: 10.1038/s42256-024-00886-8.Peer-Reviewed Original ResearchSelf-attentionNon-local operatorsMachine learningModeling complex systemsReal-world dataHigher-dimensional problemsComplex systemsDynamic embeddingsIntegral equationsModel capacitySpatiotemporal dependenciesIntegral operatorsSecond-kind integral equationsIntegral equation solversModeling capabilitiesNonlinear operatorsTheoretical analysisNon-local systemNumerical benchmarksMachineLearningApproximate resultsNavier-StokesEquation solverScalability