Li Wang

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math.OC2025

Inverse Problems Over Probability Measure Space

Qin Li, Maria Oprea, Li Wang +1

Define a forward problem as $I ¨ _{y} = G_{#} I ¨ _{x}$ , where the probability distribution $I ¨ _{x}$ is mapped to another distribution $I ¨ _{y}$ using the forward operator $G$ . In this work, we i…

math.OC2025

Least-Squares Problem Over Probability Measure Space

Qin Li, Li Wang, Yunan Yang

In this work, we investigate the variational problem $I ¨ _{x}^{*} = argmin_{I ¨ _{x}} D (G # I ¨ _{x}, I ¨ _{y}),$ where $D$ quantifies the difference between two probability measures,…