Sobolev trained neural network surrogate models for optimization

نویسندگان

چکیده

Neural network surrogate models are often used to replace complex mathematical in black-box and grey-box optimization. This strategy essentially uses samples generated from a model fit data-driven, reduced-order more amenable for can be trained Sobolev spaces, i.e., match the function not only terms of output values, but also values their derivatives arbitrary degree. paper examines direct impacts training on neural embedded optimization problems, proposes systematic scaling Sobolev-space targets during NN training. In particular, it is shown that results with accurate (in addition accurately predicting outputs), benefits gradient-based Three case studies demonstrate approach: Himmelblau function, optimizations two-phase flash separator two flashes series. The show advantages especially significant cases low data volume and/or optimal points near boundary dataset—areas where traditionally struggle.

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ژورنال

عنوان ژورنال: Computers & Chemical Engineering

سال: 2021

ISSN: ['1873-4375', '0098-1354']

DOI: https://doi.org/10.1016/j.compchemeng.2021.107419