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math.AP2025
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…
math.AP2025
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…