4 papers · 1 filter
PDAC: Efficient Coreset Selection for Continual Learning via Probability Density Awareness
Junqi Gao, Zhichang Guo, Dazhi Zhang +3
Rehearsal-based Continual Learning (CL) maintains a limited memory buffer to store replay samples for knowledge retention, making these approaches heavily reliant on the quality of…
Incorporating Local Hölder Regularity into PINNs for Solving Elliptic PDEs
Qirui Zhou, Jiebao Sun, Yi Ran +1
In this paper, local Hölder regularization is incorporated into a physics-informed neural networks (PINNs) framework for solving elliptic partial differential equations (PDEs). Mot…
Coupling local and nonlocal total variation flow for image despeckling
Yi Ran, Zhichang Guo, Kehan Shi +4
Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to…
Nonlocal-to-local convergence of the -Biharmonic evolution equation with the Dirichlet boundary condition
Kehan Shi, Yi Ran
This paper studies the nonlocal -biharmonic evolution equation with the Dirichlet boundary condition that arises in image processing and data analysis. We prove the existence an…