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Nonconvex optimization, Stochastic optimization, Diffusion based algorithms, Mathematical finance, AI applications in finance and insruance
Major research field
Nonconvex optimization, Stochastic optimization, Diffusion based algorithms, Physics-informed neural networks, Neural differential equations, AI appl
Desired field of research
Nonconvex optimization, Stochastic optimization, Diffusion based algorithms, Physics-informed neural networks, Neural differential equations, AI appl
Research Publications
· Langevin dynamics based algorithm e-THεO POULA for stochastic problems with discontinuous stochastic gradient, D-Y Lim, A Neufeld, S Sabanis, and Y Zhang, Mathematics of Operations Research
· Polygonal Unadjusted Langevin Algorithms: Creating stable and efficient adaptive algorithms for neural networks, D-Y Lim and S Sabanis
Journal of Machine Learning Reserach (JMLR), 2024 (presented at Interational Conference on Machine Learning ICML, 2024)
· Stable neural stochastic differential equations in analyzing irregular time series data, Y Oh, D-Y Lim, and S Kim, International Conference on Learning Representations (ICLR), Spotlight, 2024
· Nonasymptotic estimates for TUSLA algorithm for nonconvex learning with applications to neural networks, D-Y Lim, A Neufeld, S Sabanis, and Y Zhang, IMA Journal of Numerical Analysis, 2023
· Static replication of barrier-type options via integral equations, K-K Kim and D-Y Lim, Quantitative Finance, 2021