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math.NA2026
Finite Expression Approximation of High-Dimensional PDEs Without the Curse of Dimensionality
Zhi Heng Liu, Haizhao Yang
We establish that finite expressions form a symbolic representation class capable of overcoming the curse of dimensionality for several classes of high-dimensional partial differen…
stat.ML2026
Optimal Tradeoffs Between Network Size and Parameter Magnitude in Neural Approximation and Minimax Regression
Baicheng Li, Zuowei Shen, Haizhao Yang +1
The statistical accuracy of neural networks depends on both their approximation power and the complexity of the class fitted from data. While increasing network size is a natural w…