An optimized dynamic mode decomposition model robust to multiplicative noise

M Lee, J Park - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal
data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth …

Efficient and provably convergent randomized greedy algorithms for neural network optimization

J Xu, X Xu - arXiv preprint arXiv:2407.17763, 2024 - arxiv.org
Greedy algorithms have been successfully analyzed and applied in training neural networks
for solving variational problems, ensuring guaranteed convergence orders. However, their …

Subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs

YJ Lee, J Park - arXiv preprint arXiv:2412.17318, 2024 - arxiv.org
We present new convergence analyses for subspace correction methods for semicoercive
and nearly semicoercive convex optimization problems, generalizing the theory of singular …

DualFL: A Duality-based Federated Learning Algorithm with Communication Acceleration in the General Convex Regime

J Park, J Xu - arXiv preprint arXiv:2305.10294, 2023 - arxiv.org
We propose a new training algorithm, named DualFL (Dualized Federated Learning), for
solving distributed optimization problems in federated learning. DualFL achieves …