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math.NA2026
Structure-Driven Inversion: A New Paradigm for Solving Inverse Problems
Shengchang Chen
Inverse problems are predominantly solved within the optimization-driven paradigm, which formulates the problem as objective-function minimization and approaches the solution by it…
math.NA2026
A Spectral-Domain Pseudo-Inverse Construction Method for Unitary Diagonalizable Linear Inverse Problems
Shengchang Chen
Linear inverse problems are prevalent in geophysics, signal processing, image restoration, and medical imaging. Mathematically, they can be formulated as . When is ill-…