@article{convexityofoptimizationcurveslocalsharpt,
  title = {Convexity of Optimization Curves: Local Sharp Thresholds, Robustness Impossibility, and New Counterexamples},
  author = {Le Duc Hieu},
  year = {2025},
  eprint = {2509.08954},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2509.08954},
}