2 papers
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…
stat.ML2026
Sobolev Approximation by Fixed-Size Neural Networks with Arbitrary Accuracy
Baicheng Li, Haizhao Yang, Shijun Zhang
In this work, we investigate new activation functions for achieving arbitrary-accuracy Sobolev approximation by fixed-size neural networks. We first show that any function in $W^{2…