gradient-enhanced methods 1ridge regression 1spline dimensional decomposition 1surrogate modeling 1uncertainty quantification 1
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math.NA2026
Gradient-enhanced spline dimensional decomposition for uncertainty quantification with limited training samples
Eunho Heo, Dongjin Lee
The paper introduces a gradient-enhanced spline dimensional decomposition (GE‑SDD) surrogate that incorporates both function values and partial derivatives to improve uncertainty q…
math.NA2026
Data-driven dimensionally decomposed generalized polynomial chaos expansion for forward uncertainty quantification
Hojun Choi, Eunho Heo, Dongjin Lee
Dimensionally decomposed generalized polynomial chaos expansion (DD-GPCE) efficiently performs forward uncertainty quantification (UQ) in complex engineering systems with high-dime…