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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.OC2026
CBO algorithm with average drift and applications to portfolio optimization
Hyeong-Ohk Bae, Seung-Yeal Ha, Chanho Min +2
We propose a consensus based optimization algorithm with average drift (in short Ad-CBO) and provide a theoretical framework for it. In the theoretical analysis, we show that parti…