3 citations · 3 across the 5 of their papers we have counts for
5 papers
Resolving Sharp Gradients of Unstable Singularities to Machine Precision via Neural Networks
Yongji Wang, Tristan Léger, Ching-Yao Lai +1
Recent work introduced a robust computational framework combining embedded mathematical structures, advanced optimization, and neural network architecture, leading to the discovery…
Discovery of Unstable Singularities
Yongji Wang, Mehdi Bennani, James Martens +19
Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations, such as the 3D Eul…
Spectrum-Informed Multistage Neural Networks: Multiscale Function Approximators of Machine Precision
Jakin Ng, Yongji Wang, Ching-Yao Lai
Deep learning frameworks have become powerful tools for approaching scientific problems such as turbulent flow, which has wide-ranging applications. In practice, however, existing…
Gravity-driven viscous flow over partially lubricated bed
Joshua H. Rines, Ching-Yao Lai, Yongji Wang
We present an investigation into the response of a viscous fluid flowing over a sloped bed across a spatially finite patch of basal lubrication. We present a simple analytical mode…
Multi-stage Neural Networks: Function Approximator of Machine Precision
Yongji Wang, Ching-Yao Lai
Deep learning techniques are increasingly applied to scientific problems, where the precision of networks is crucial. Despite being deemed as universal function approximators, neur…