@article{neuralnetworkswithdenseweightsarenotuniv, title = {Neural Networks With Dense Weights Are Not Universal Approximators}, author = {Levi Rauchwerger and Stefanie Jegelka and Ron Levie}, year = {2026}, eprint = {2602.07618}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2602.07618}, }