Open Problem: Second Order Regret Bounds Based on Scaling Time

Abstract

We argue that the second order bounds given in Cesa-Bianchi2006, which accumulate the square of the loss of each action separately, are loose. We propose a different form of a second order bound and conjecture the it is satisfied by NormalHedge ChaudhuriFrHs2009.

Cite

Text

Freund. "Open Problem: Second Order Regret Bounds Based on Scaling Time." Annual Conference on Computational Learning Theory, 2016.

Markdown

[Freund. "Open Problem: Second Order Regret Bounds Based on Scaling Time." Annual Conference on Computational Learning Theory, 2016.](https://mlanthology.org/colt/2016/freund2016colt-open/)

BibTeX

@inproceedings{freund2016colt-open,
  title     = {{Open Problem: Second Order Regret Bounds Based on Scaling Time}},
  author    = {Freund, Yoav},
  booktitle = {Annual Conference on Computational Learning Theory},
  year      = {2016},
  pages     = {1651-1654},
  url       = {https://mlanthology.org/colt/2016/freund2016colt-open/}
}