Streaming Algorithms for Ellipsoidal Approximation of Convex Polytopes

Abstract

We give efficient deterministic one-pass streaming algorithms for finding an ellipsoidal approximation of a symmetric convex polytope. The algorithms are near-optimal in that their approximation factors differ from that of the optimal offline solution only by a factor sub-logarithmic in the aspect ratio of the polytope.

Cite

Text

Makarychev et al. "Streaming Algorithms for Ellipsoidal Approximation of Convex Polytopes." Conference on Learning Theory, 2022.

Markdown

[Makarychev et al. "Streaming Algorithms for Ellipsoidal Approximation of Convex Polytopes." Conference on Learning Theory, 2022.](https://mlanthology.org/colt/2022/makarychev2022colt-streaming/)

BibTeX

@inproceedings{makarychev2022colt-streaming,
  title     = {{Streaming Algorithms for Ellipsoidal Approximation of Convex Polytopes}},
  author    = {Makarychev, Yury and Manoj, Naren Sarayu and Ovsiankin, Max},
  booktitle = {Conference on Learning Theory},
  year      = {2022},
  pages     = {3070-3093},
  volume    = {178},
  url       = {https://mlanthology.org/colt/2022/makarychev2022colt-streaming/}
}