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cs.LG2026
Sparse-Aware Neural Networks for Nonlinear Functionals: Mitigating the Exponential Dependence on Dimension
Jianfei Li, Shuo Huang, Han Feng +2
Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter diffic…
cs.LG2026
Understanding Diffusion Models via Ratio-Based Function Approximation with SignReLU Networks
Luwei Sun, Dongrui Shen, Feng Chuanwen +3
Motivated by challenges in conditional generative modeling, where the target conditional density takes the form of a ratio f1 over f2, this paper develops a theoretical framework f…