3 papers
math.OC2026
Stochastic Modified Equations for Stochastic Gradient Descent in Infinite-Dimensional Hilbert Spaces
Sandra Cerrai, Qin Li, Anjali Nair +1
Inverse problems in scientific computing often require optimization over infinite-dimensional Hilbert spaces. A commonly used solver in such settings is stochastic gradient descent…
math.AP2025
Stability of the reconstruction of the heat reflection coefficient in the phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
The reflection coefficient is an important thermal property of materials, especially at the nanoscale, and determining this property requires solving an inverse problem based on ma…
math.NA2024
Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
Ruhui Jin, Qin Li, Anjali Nair +1
Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when…