We show that the physics-informed neural networks (PINNs), in combinatio...
We consider a general class of nonsmooth optimal control problems with
p...
We propose a novel spectral method for the Allen–Cahn equation on sphere...
Cloud computing enables ubiquitous, convenient, and on-demand network ac...
Neural networks often encounter various stringent resource constraints w...
The total variation (TV) regularization has phenomenally boosted various...
We propose a new penalty, named as the springback penalty, for construct...
Bi-level optimization model is able to capture a wide range of complex
l...
Identifying the discontinuous diffusion coefficient in an elliptic equat...
In recent years, gradient-based methods for solving bi-level optimizatio...
To prevent the leakage of private information while enabling automated
m...
This paper describes an R package named flare, which implements a family...
In recent years, a variety of gradient-based first-order methods have be...
Classical optimization techniques often formulate the feasibility of the...
In this paper we study the stability and its trade-off with optimization...
The alternating direction method of multipliers (ADMM) is commonly used ...
Many modern computer vision and machine learning applications rely on so...