English

Generic nondegeneracy in convex optimization

Optimization and Control 2011-08-23 v1

Abstract

We show that minimizers of convex functions subject to almost all linear perturbations are nondegenerate. An analogous result holds more generally, for lower-C^2 functions.

Keywords

Cite

@article{arxiv.1005.1082,
  title  = {Generic nondegeneracy in convex optimization},
  author = {Dmitriy Drusvyatskiy and Adrian S. Lewis},
  journal= {arXiv preprint arXiv:1005.1082},
  year   = {2011}
}

Comments

13 pages

R2 v1 2026-06-21T15:19:37.024Z