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math.NA2026
Neural-Spectral and Newton-HUM Methods for Reconstructing Controls of Wave Equations
Tan-Phuc Nguyen, Minh-Binh Tran, Son Tu
We develop a framework for constructing and rigorously validating controls for semilinear wave equations with localized interior control. We analyze the continuous energy-space pro…
math.NA2025
Regularized Unbalanced Optimal Transport with Pearson Marginal Penalties
Minh-Nhat Phung, Minh-Binh Tran
We study quadratically regularized unbalanced optimal transport with Pearson marginal penalties and a lower bound on the plan, including the sparse case . We organize…