@article{basicinequalitiesforfirstorderoptimizati,
  title = {Basic Inequalities for First-Order Optimization with Applications to Statistical Risk Analysis},
  author = {Seunghoon Paik and Kangjie Zhou and Matus Telgarsky and Ryan J. Tibshirani},
  year = {2025},
  eprint = {2512.24999},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2512.24999},
}